Annotation of imach/src/imach.c, revision 1.200

1.200   ! brouard     1: /* $Id: imach.c,v 1.199 2015/09/07 14:09:23 brouard Exp $
1.126     brouard     2:   $State: Exp $
1.163     brouard     3:   $Log: imach.c,v $
1.200   ! brouard     4:   Revision 1.199  2015/09/07 14:09:23  brouard
        !             5:   Summary: 0.98q6 changing default small png format for graph to vectorized svg.
        !             6: 
1.199     brouard     7:   Revision 1.198  2015/09/03 07:14:39  brouard
                      8:   Summary: 0.98q5 Flavia
                      9: 
1.198     brouard    10:   Revision 1.197  2015/09/01 18:24:39  brouard
                     11:   *** empty log message ***
                     12: 
1.197     brouard    13:   Revision 1.196  2015/08/18 23:17:52  brouard
                     14:   Summary: 0.98q5
                     15: 
1.196     brouard    16:   Revision 1.195  2015/08/18 16:28:39  brouard
                     17:   Summary: Adding a hack for testing purpose
                     18: 
                     19:   After reading the title, ftol and model lines, if the comment line has
                     20:   a q, starting with #q, the answer at the end of the run is quit. It
                     21:   permits to run test files in batch with ctest. The former workaround was
                     22:   $ echo q | imach foo.imach
                     23: 
1.195     brouard    24:   Revision 1.194  2015/08/18 13:32:00  brouard
                     25:   Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
                     26: 
1.194     brouard    27:   Revision 1.193  2015/08/04 07:17:42  brouard
                     28:   Summary: 0.98q4
                     29: 
1.193     brouard    30:   Revision 1.192  2015/07/16 16:49:02  brouard
                     31:   Summary: Fixing some outputs
                     32: 
1.192     brouard    33:   Revision 1.191  2015/07/14 10:00:33  brouard
                     34:   Summary: Some fixes
                     35: 
1.191     brouard    36:   Revision 1.190  2015/05/05 08:51:13  brouard
                     37:   Summary: Adding digits in output parameters (7 digits instead of 6)
                     38: 
                     39:   Fix 1+age+.
                     40: 
1.190     brouard    41:   Revision 1.189  2015/04/30 14:45:16  brouard
                     42:   Summary: 0.98q2
                     43: 
1.189     brouard    44:   Revision 1.188  2015/04/30 08:27:53  brouard
                     45:   *** empty log message ***
                     46: 
1.188     brouard    47:   Revision 1.187  2015/04/29 09:11:15  brouard
                     48:   *** empty log message ***
                     49: 
1.187     brouard    50:   Revision 1.186  2015/04/23 12:01:52  brouard
                     51:   Summary: V1*age is working now, version 0.98q1
                     52: 
                     53:   Some codes had been disabled in order to simplify and Vn*age was
                     54:   working in the optimization phase, ie, giving correct MLE parameters,
                     55:   but, as usual, outputs were not correct and program core dumped.
                     56: 
1.186     brouard    57:   Revision 1.185  2015/03/11 13:26:42  brouard
                     58:   Summary: Inclusion of compile and links command line for Intel Compiler
                     59: 
1.185     brouard    60:   Revision 1.184  2015/03/11 11:52:39  brouard
                     61:   Summary: Back from Windows 8. Intel Compiler
                     62: 
1.184     brouard    63:   Revision 1.183  2015/03/10 20:34:32  brouard
                     64:   Summary: 0.98q0, trying with directest, mnbrak fixed
                     65: 
                     66:   We use directest instead of original Powell test; probably no
                     67:   incidence on the results, but better justifications;
                     68:   We fixed Numerical Recipes mnbrak routine which was wrong and gave
                     69:   wrong results.
                     70: 
1.183     brouard    71:   Revision 1.182  2015/02/12 08:19:57  brouard
                     72:   Summary: Trying to keep directest which seems simpler and more general
                     73:   Author: Nicolas Brouard
                     74: 
1.182     brouard    75:   Revision 1.181  2015/02/11 23:22:24  brouard
                     76:   Summary: Comments on Powell added
                     77: 
                     78:   Author:
                     79: 
1.181     brouard    80:   Revision 1.180  2015/02/11 17:33:45  brouard
                     81:   Summary: Finishing move from main to function (hpijx and prevalence_limit)
                     82: 
1.180     brouard    83:   Revision 1.179  2015/01/04 09:57:06  brouard
                     84:   Summary: back to OS/X
                     85: 
1.179     brouard    86:   Revision 1.178  2015/01/04 09:35:48  brouard
                     87:   *** empty log message ***
                     88: 
1.178     brouard    89:   Revision 1.177  2015/01/03 18:40:56  brouard
                     90:   Summary: Still testing ilc32 on OSX
                     91: 
1.177     brouard    92:   Revision 1.176  2015/01/03 16:45:04  brouard
                     93:   *** empty log message ***
                     94: 
1.176     brouard    95:   Revision 1.175  2015/01/03 16:33:42  brouard
                     96:   *** empty log message ***
                     97: 
1.175     brouard    98:   Revision 1.174  2015/01/03 16:15:49  brouard
                     99:   Summary: Still in cross-compilation
                    100: 
1.174     brouard   101:   Revision 1.173  2015/01/03 12:06:26  brouard
                    102:   Summary: trying to detect cross-compilation
                    103: 
1.173     brouard   104:   Revision 1.172  2014/12/27 12:07:47  brouard
                    105:   Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
                    106: 
1.172     brouard   107:   Revision 1.171  2014/12/23 13:26:59  brouard
                    108:   Summary: Back from Visual C
                    109: 
                    110:   Still problem with utsname.h on Windows
                    111: 
1.171     brouard   112:   Revision 1.170  2014/12/23 11:17:12  brouard
                    113:   Summary: Cleaning some \%% back to %%
                    114: 
                    115:   The escape was mandatory for a specific compiler (which one?), but too many warnings.
                    116: 
1.170     brouard   117:   Revision 1.169  2014/12/22 23:08:31  brouard
                    118:   Summary: 0.98p
                    119: 
                    120:   Outputs some informations on compiler used, OS etc. Testing on different platforms.
                    121: 
1.169     brouard   122:   Revision 1.168  2014/12/22 15:17:42  brouard
1.170     brouard   123:   Summary: update
1.169     brouard   124: 
1.168     brouard   125:   Revision 1.167  2014/12/22 13:50:56  brouard
                    126:   Summary: Testing uname and compiler version and if compiled 32 or 64
                    127: 
                    128:   Testing on Linux 64
                    129: 
1.167     brouard   130:   Revision 1.166  2014/12/22 11:40:47  brouard
                    131:   *** empty log message ***
                    132: 
1.166     brouard   133:   Revision 1.165  2014/12/16 11:20:36  brouard
                    134:   Summary: After compiling on Visual C
                    135: 
                    136:   * imach.c (Module): Merging 1.61 to 1.162
                    137: 
1.165     brouard   138:   Revision 1.164  2014/12/16 10:52:11  brouard
                    139:   Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
                    140: 
                    141:   * imach.c (Module): Merging 1.61 to 1.162
                    142: 
1.164     brouard   143:   Revision 1.163  2014/12/16 10:30:11  brouard
                    144:   * imach.c (Module): Merging 1.61 to 1.162
                    145: 
1.163     brouard   146:   Revision 1.162  2014/09/25 11:43:39  brouard
                    147:   Summary: temporary backup 0.99!
                    148: 
1.162     brouard   149:   Revision 1.1  2014/09/16 11:06:58  brouard
                    150:   Summary: With some code (wrong) for nlopt
                    151: 
                    152:   Author:
                    153: 
                    154:   Revision 1.161  2014/09/15 20:41:41  brouard
                    155:   Summary: Problem with macro SQR on Intel compiler
                    156: 
1.161     brouard   157:   Revision 1.160  2014/09/02 09:24:05  brouard
                    158:   *** empty log message ***
                    159: 
1.160     brouard   160:   Revision 1.159  2014/09/01 10:34:10  brouard
                    161:   Summary: WIN32
                    162:   Author: Brouard
                    163: 
1.159     brouard   164:   Revision 1.158  2014/08/27 17:11:51  brouard
                    165:   *** empty log message ***
                    166: 
1.158     brouard   167:   Revision 1.157  2014/08/27 16:26:55  brouard
                    168:   Summary: Preparing windows Visual studio version
                    169:   Author: Brouard
                    170: 
                    171:   In order to compile on Visual studio, time.h is now correct and time_t
                    172:   and tm struct should be used. difftime should be used but sometimes I
                    173:   just make the differences in raw time format (time(&now).
                    174:   Trying to suppress #ifdef LINUX
                    175:   Add xdg-open for __linux in order to open default browser.
                    176: 
1.157     brouard   177:   Revision 1.156  2014/08/25 20:10:10  brouard
                    178:   *** empty log message ***
                    179: 
1.156     brouard   180:   Revision 1.155  2014/08/25 18:32:34  brouard
                    181:   Summary: New compile, minor changes
                    182:   Author: Brouard
                    183: 
1.155     brouard   184:   Revision 1.154  2014/06/20 17:32:08  brouard
                    185:   Summary: Outputs now all graphs of convergence to period prevalence
                    186: 
1.154     brouard   187:   Revision 1.153  2014/06/20 16:45:46  brouard
                    188:   Summary: If 3 live state, convergence to period prevalence on same graph
                    189:   Author: Brouard
                    190: 
1.153     brouard   191:   Revision 1.152  2014/06/18 17:54:09  brouard
                    192:   Summary: open browser, use gnuplot on same dir than imach if not found in the path
                    193: 
1.152     brouard   194:   Revision 1.151  2014/06/18 16:43:30  brouard
                    195:   *** empty log message ***
                    196: 
1.151     brouard   197:   Revision 1.150  2014/06/18 16:42:35  brouard
                    198:   Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
                    199:   Author: brouard
                    200: 
1.150     brouard   201:   Revision 1.149  2014/06/18 15:51:14  brouard
                    202:   Summary: Some fixes in parameter files errors
                    203:   Author: Nicolas Brouard
                    204: 
1.149     brouard   205:   Revision 1.148  2014/06/17 17:38:48  brouard
                    206:   Summary: Nothing new
                    207:   Author: Brouard
                    208: 
                    209:   Just a new packaging for OS/X version 0.98nS
                    210: 
1.148     brouard   211:   Revision 1.147  2014/06/16 10:33:11  brouard
                    212:   *** empty log message ***
                    213: 
1.147     brouard   214:   Revision 1.146  2014/06/16 10:20:28  brouard
                    215:   Summary: Merge
                    216:   Author: Brouard
                    217: 
                    218:   Merge, before building revised version.
                    219: 
1.146     brouard   220:   Revision 1.145  2014/06/10 21:23:15  brouard
                    221:   Summary: Debugging with valgrind
                    222:   Author: Nicolas Brouard
                    223: 
                    224:   Lot of changes in order to output the results with some covariates
                    225:   After the Edimburgh REVES conference 2014, it seems mandatory to
                    226:   improve the code.
                    227:   No more memory valgrind error but a lot has to be done in order to
                    228:   continue the work of splitting the code into subroutines.
                    229:   Also, decodemodel has been improved. Tricode is still not
                    230:   optimal. nbcode should be improved. Documentation has been added in
                    231:   the source code.
                    232: 
1.144     brouard   233:   Revision 1.143  2014/01/26 09:45:38  brouard
                    234:   Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
                    235: 
                    236:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    237:   (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
                    238: 
1.143     brouard   239:   Revision 1.142  2014/01/26 03:57:36  brouard
                    240:   Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
                    241: 
                    242:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    243: 
1.142     brouard   244:   Revision 1.141  2014/01/26 02:42:01  brouard
                    245:   * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
                    246: 
1.141     brouard   247:   Revision 1.140  2011/09/02 10:37:54  brouard
                    248:   Summary: times.h is ok with mingw32 now.
                    249: 
1.140     brouard   250:   Revision 1.139  2010/06/14 07:50:17  brouard
                    251:   After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
                    252:   I remember having already fixed agemin agemax which are pointers now but not cvs saved.
                    253: 
1.139     brouard   254:   Revision 1.138  2010/04/30 18:19:40  brouard
                    255:   *** empty log message ***
                    256: 
1.138     brouard   257:   Revision 1.137  2010/04/29 18:11:38  brouard
                    258:   (Module): Checking covariates for more complex models
                    259:   than V1+V2. A lot of change to be done. Unstable.
                    260: 
1.137     brouard   261:   Revision 1.136  2010/04/26 20:30:53  brouard
                    262:   (Module): merging some libgsl code. Fixing computation
                    263:   of likelione (using inter/intrapolation if mle = 0) in order to
                    264:   get same likelihood as if mle=1.
                    265:   Some cleaning of code and comments added.
                    266: 
1.136     brouard   267:   Revision 1.135  2009/10/29 15:33:14  brouard
                    268:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    269: 
1.135     brouard   270:   Revision 1.134  2009/10/29 13:18:53  brouard
                    271:   (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
                    272: 
1.134     brouard   273:   Revision 1.133  2009/07/06 10:21:25  brouard
                    274:   just nforces
                    275: 
1.133     brouard   276:   Revision 1.132  2009/07/06 08:22:05  brouard
                    277:   Many tings
                    278: 
1.132     brouard   279:   Revision 1.131  2009/06/20 16:22:47  brouard
                    280:   Some dimensions resccaled
                    281: 
1.131     brouard   282:   Revision 1.130  2009/05/26 06:44:34  brouard
                    283:   (Module): Max Covariate is now set to 20 instead of 8. A
                    284:   lot of cleaning with variables initialized to 0. Trying to make
                    285:   V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
                    286: 
1.130     brouard   287:   Revision 1.129  2007/08/31 13:49:27  lievre
                    288:   Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
                    289: 
1.129     lievre    290:   Revision 1.128  2006/06/30 13:02:05  brouard
                    291:   (Module): Clarifications on computing e.j
                    292: 
1.128     brouard   293:   Revision 1.127  2006/04/28 18:11:50  brouard
                    294:   (Module): Yes the sum of survivors was wrong since
                    295:   imach-114 because nhstepm was no more computed in the age
                    296:   loop. Now we define nhstepma in the age loop.
                    297:   (Module): In order to speed up (in case of numerous covariates) we
                    298:   compute health expectancies (without variances) in a first step
                    299:   and then all the health expectancies with variances or standard
                    300:   deviation (needs data from the Hessian matrices) which slows the
                    301:   computation.
                    302:   In the future we should be able to stop the program is only health
                    303:   expectancies and graph are needed without standard deviations.
                    304: 
1.127     brouard   305:   Revision 1.126  2006/04/28 17:23:28  brouard
                    306:   (Module): Yes the sum of survivors was wrong since
                    307:   imach-114 because nhstepm was no more computed in the age
                    308:   loop. Now we define nhstepma in the age loop.
                    309:   Version 0.98h
                    310: 
1.126     brouard   311:   Revision 1.125  2006/04/04 15:20:31  lievre
                    312:   Errors in calculation of health expectancies. Age was not initialized.
                    313:   Forecasting file added.
                    314: 
                    315:   Revision 1.124  2006/03/22 17:13:53  lievre
                    316:   Parameters are printed with %lf instead of %f (more numbers after the comma).
                    317:   The log-likelihood is printed in the log file
                    318: 
                    319:   Revision 1.123  2006/03/20 10:52:43  brouard
                    320:   * imach.c (Module): <title> changed, corresponds to .htm file
                    321:   name. <head> headers where missing.
                    322: 
                    323:   * imach.c (Module): Weights can have a decimal point as for
                    324:   English (a comma might work with a correct LC_NUMERIC environment,
                    325:   otherwise the weight is truncated).
                    326:   Modification of warning when the covariates values are not 0 or
                    327:   1.
                    328:   Version 0.98g
                    329: 
                    330:   Revision 1.122  2006/03/20 09:45:41  brouard
                    331:   (Module): Weights can have a decimal point as for
                    332:   English (a comma might work with a correct LC_NUMERIC environment,
                    333:   otherwise the weight is truncated).
                    334:   Modification of warning when the covariates values are not 0 or
                    335:   1.
                    336:   Version 0.98g
                    337: 
                    338:   Revision 1.121  2006/03/16 17:45:01  lievre
                    339:   * imach.c (Module): Comments concerning covariates added
                    340: 
                    341:   * imach.c (Module): refinements in the computation of lli if
                    342:   status=-2 in order to have more reliable computation if stepm is
                    343:   not 1 month. Version 0.98f
                    344: 
                    345:   Revision 1.120  2006/03/16 15:10:38  lievre
                    346:   (Module): refinements in the computation of lli if
                    347:   status=-2 in order to have more reliable computation if stepm is
                    348:   not 1 month. Version 0.98f
                    349: 
                    350:   Revision 1.119  2006/03/15 17:42:26  brouard
                    351:   (Module): Bug if status = -2, the loglikelihood was
                    352:   computed as likelihood omitting the logarithm. Version O.98e
                    353: 
                    354:   Revision 1.118  2006/03/14 18:20:07  brouard
                    355:   (Module): varevsij Comments added explaining the second
                    356:   table of variances if popbased=1 .
                    357:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    358:   (Module): Function pstamp added
                    359:   (Module): Version 0.98d
                    360: 
                    361:   Revision 1.117  2006/03/14 17:16:22  brouard
                    362:   (Module): varevsij Comments added explaining the second
                    363:   table of variances if popbased=1 .
                    364:   (Module): Covariances of eij, ekl added, graphs fixed, new html link.
                    365:   (Module): Function pstamp added
                    366:   (Module): Version 0.98d
                    367: 
                    368:   Revision 1.116  2006/03/06 10:29:27  brouard
                    369:   (Module): Variance-covariance wrong links and
                    370:   varian-covariance of ej. is needed (Saito).
                    371: 
                    372:   Revision 1.115  2006/02/27 12:17:45  brouard
                    373:   (Module): One freematrix added in mlikeli! 0.98c
                    374: 
                    375:   Revision 1.114  2006/02/26 12:57:58  brouard
                    376:   (Module): Some improvements in processing parameter
                    377:   filename with strsep.
                    378: 
                    379:   Revision 1.113  2006/02/24 14:20:24  brouard
                    380:   (Module): Memory leaks checks with valgrind and:
                    381:   datafile was not closed, some imatrix were not freed and on matrix
                    382:   allocation too.
                    383: 
                    384:   Revision 1.112  2006/01/30 09:55:26  brouard
                    385:   (Module): Back to gnuplot.exe instead of wgnuplot.exe
                    386: 
                    387:   Revision 1.111  2006/01/25 20:38:18  brouard
                    388:   (Module): Lots of cleaning and bugs added (Gompertz)
                    389:   (Module): Comments can be added in data file. Missing date values
                    390:   can be a simple dot '.'.
                    391: 
                    392:   Revision 1.110  2006/01/25 00:51:50  brouard
                    393:   (Module): Lots of cleaning and bugs added (Gompertz)
                    394: 
                    395:   Revision 1.109  2006/01/24 19:37:15  brouard
                    396:   (Module): Comments (lines starting with a #) are allowed in data.
                    397: 
                    398:   Revision 1.108  2006/01/19 18:05:42  lievre
                    399:   Gnuplot problem appeared...
                    400:   To be fixed
                    401: 
                    402:   Revision 1.107  2006/01/19 16:20:37  brouard
                    403:   Test existence of gnuplot in imach path
                    404: 
                    405:   Revision 1.106  2006/01/19 13:24:36  brouard
                    406:   Some cleaning and links added in html output
                    407: 
                    408:   Revision 1.105  2006/01/05 20:23:19  lievre
                    409:   *** empty log message ***
                    410: 
                    411:   Revision 1.104  2005/09/30 16:11:43  lievre
                    412:   (Module): sump fixed, loop imx fixed, and simplifications.
                    413:   (Module): If the status is missing at the last wave but we know
                    414:   that the person is alive, then we can code his/her status as -2
                    415:   (instead of missing=-1 in earlier versions) and his/her
                    416:   contributions to the likelihood is 1 - Prob of dying from last
                    417:   health status (= 1-p13= p11+p12 in the easiest case of somebody in
                    418:   the healthy state at last known wave). Version is 0.98
                    419: 
                    420:   Revision 1.103  2005/09/30 15:54:49  lievre
                    421:   (Module): sump fixed, loop imx fixed, and simplifications.
                    422: 
                    423:   Revision 1.102  2004/09/15 17:31:30  brouard
                    424:   Add the possibility to read data file including tab characters.
                    425: 
                    426:   Revision 1.101  2004/09/15 10:38:38  brouard
                    427:   Fix on curr_time
                    428: 
                    429:   Revision 1.100  2004/07/12 18:29:06  brouard
                    430:   Add version for Mac OS X. Just define UNIX in Makefile
                    431: 
                    432:   Revision 1.99  2004/06/05 08:57:40  brouard
                    433:   *** empty log message ***
                    434: 
                    435:   Revision 1.98  2004/05/16 15:05:56  brouard
                    436:   New version 0.97 . First attempt to estimate force of mortality
                    437:   directly from the data i.e. without the need of knowing the health
                    438:   state at each age, but using a Gompertz model: log u =a + b*age .
                    439:   This is the basic analysis of mortality and should be done before any
                    440:   other analysis, in order to test if the mortality estimated from the
                    441:   cross-longitudinal survey is different from the mortality estimated
                    442:   from other sources like vital statistic data.
                    443: 
                    444:   The same imach parameter file can be used but the option for mle should be -3.
                    445: 
1.133     brouard   446:   Agnès, who wrote this part of the code, tried to keep most of the
1.126     brouard   447:   former routines in order to include the new code within the former code.
                    448: 
                    449:   The output is very simple: only an estimate of the intercept and of
                    450:   the slope with 95% confident intervals.
                    451: 
                    452:   Current limitations:
                    453:   A) Even if you enter covariates, i.e. with the
                    454:   model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
                    455:   B) There is no computation of Life Expectancy nor Life Table.
                    456: 
                    457:   Revision 1.97  2004/02/20 13:25:42  lievre
                    458:   Version 0.96d. Population forecasting command line is (temporarily)
                    459:   suppressed.
                    460: 
                    461:   Revision 1.96  2003/07/15 15:38:55  brouard
                    462:   * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
                    463:   rewritten within the same printf. Workaround: many printfs.
                    464: 
                    465:   Revision 1.95  2003/07/08 07:54:34  brouard
                    466:   * imach.c (Repository):
                    467:   (Repository): Using imachwizard code to output a more meaningful covariance
                    468:   matrix (cov(a12,c31) instead of numbers.
                    469: 
                    470:   Revision 1.94  2003/06/27 13:00:02  brouard
                    471:   Just cleaning
                    472: 
                    473:   Revision 1.93  2003/06/25 16:33:55  brouard
                    474:   (Module): On windows (cygwin) function asctime_r doesn't
                    475:   exist so I changed back to asctime which exists.
                    476:   (Module): Version 0.96b
                    477: 
                    478:   Revision 1.92  2003/06/25 16:30:45  brouard
                    479:   (Module): On windows (cygwin) function asctime_r doesn't
                    480:   exist so I changed back to asctime which exists.
                    481: 
                    482:   Revision 1.91  2003/06/25 15:30:29  brouard
                    483:   * imach.c (Repository): Duplicated warning errors corrected.
                    484:   (Repository): Elapsed time after each iteration is now output. It
                    485:   helps to forecast when convergence will be reached. Elapsed time
                    486:   is stamped in powell.  We created a new html file for the graphs
                    487:   concerning matrix of covariance. It has extension -cov.htm.
                    488: 
                    489:   Revision 1.90  2003/06/24 12:34:15  brouard
                    490:   (Module): Some bugs corrected for windows. Also, when
                    491:   mle=-1 a template is output in file "or"mypar.txt with the design
                    492:   of the covariance matrix to be input.
                    493: 
                    494:   Revision 1.89  2003/06/24 12:30:52  brouard
                    495:   (Module): Some bugs corrected for windows. Also, when
                    496:   mle=-1 a template is output in file "or"mypar.txt with the design
                    497:   of the covariance matrix to be input.
                    498: 
                    499:   Revision 1.88  2003/06/23 17:54:56  brouard
                    500:   * 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.
                    501: 
                    502:   Revision 1.87  2003/06/18 12:26:01  brouard
                    503:   Version 0.96
                    504: 
                    505:   Revision 1.86  2003/06/17 20:04:08  brouard
                    506:   (Module): Change position of html and gnuplot routines and added
                    507:   routine fileappend.
                    508: 
                    509:   Revision 1.85  2003/06/17 13:12:43  brouard
                    510:   * imach.c (Repository): Check when date of death was earlier that
                    511:   current date of interview. It may happen when the death was just
                    512:   prior to the death. In this case, dh was negative and likelihood
                    513:   was wrong (infinity). We still send an "Error" but patch by
                    514:   assuming that the date of death was just one stepm after the
                    515:   interview.
                    516:   (Repository): Because some people have very long ID (first column)
                    517:   we changed int to long in num[] and we added a new lvector for
                    518:   memory allocation. But we also truncated to 8 characters (left
                    519:   truncation)
                    520:   (Repository): No more line truncation errors.
                    521: 
                    522:   Revision 1.84  2003/06/13 21:44:43  brouard
                    523:   * imach.c (Repository): Replace "freqsummary" at a correct
                    524:   place. It differs from routine "prevalence" which may be called
                    525:   many times. Probs is memory consuming and must be used with
                    526:   parcimony.
                    527:   Version 0.95a3 (should output exactly the same maximization than 0.8a2)
                    528: 
                    529:   Revision 1.83  2003/06/10 13:39:11  lievre
                    530:   *** empty log message ***
                    531: 
                    532:   Revision 1.82  2003/06/05 15:57:20  brouard
                    533:   Add log in  imach.c and  fullversion number is now printed.
                    534: 
                    535: */
                    536: /*
                    537:    Interpolated Markov Chain
                    538: 
                    539:   Short summary of the programme:
                    540:   
                    541:   This program computes Healthy Life Expectancies from
                    542:   cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                    543:   first survey ("cross") where individuals from different ages are
                    544:   interviewed on their health status or degree of disability (in the
                    545:   case of a health survey which is our main interest) -2- at least a
                    546:   second wave of interviews ("longitudinal") which measure each change
                    547:   (if any) in individual health status.  Health expectancies are
                    548:   computed from the time spent in each health state according to a
                    549:   model. More health states you consider, more time is necessary to reach the
                    550:   Maximum Likelihood of the parameters involved in the model.  The
                    551:   simplest model is the multinomial logistic model where pij is the
                    552:   probability to be observed in state j at the second wave
                    553:   conditional to be observed in state i at the first wave. Therefore
                    554:   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
                    555:   'age' is age and 'sex' is a covariate. If you want to have a more
                    556:   complex model than "constant and age", you should modify the program
                    557:   where the markup *Covariates have to be included here again* invites
                    558:   you to do it.  More covariates you add, slower the
                    559:   convergence.
                    560: 
                    561:   The advantage of this computer programme, compared to a simple
                    562:   multinomial logistic model, is clear when the delay between waves is not
                    563:   identical for each individual. Also, if a individual missed an
                    564:   intermediate interview, the information is lost, but taken into
                    565:   account using an interpolation or extrapolation.  
                    566: 
                    567:   hPijx is the probability to be observed in state i at age x+h
                    568:   conditional to the observed state i at age x. The delay 'h' can be
                    569:   split into an exact number (nh*stepm) of unobserved intermediate
                    570:   states. This elementary transition (by month, quarter,
                    571:   semester or year) is modelled as a multinomial logistic.  The hPx
                    572:   matrix is simply the matrix product of nh*stepm elementary matrices
                    573:   and the contribution of each individual to the likelihood is simply
                    574:   hPijx.
                    575: 
                    576:   Also this programme outputs the covariance matrix of the parameters but also
                    577:   of the life expectancies. It also computes the period (stable) prevalence. 
                    578:   
1.133     brouard   579:   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
                    580:            Institut national d'études démographiques, Paris.
1.126     brouard   581:   This software have been partly granted by Euro-REVES, a concerted action
                    582:   from the European Union.
                    583:   It is copyrighted identically to a GNU software product, ie programme and
                    584:   software can be distributed freely for non commercial use. Latest version
                    585:   can be accessed at http://euroreves.ined.fr/imach .
                    586: 
                    587:   Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
                    588:   or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
                    589:   
                    590:   **********************************************************************/
                    591: /*
                    592:   main
                    593:   read parameterfile
                    594:   read datafile
                    595:   concatwav
                    596:   freqsummary
                    597:   if (mle >= 1)
                    598:     mlikeli
                    599:   print results files
                    600:   if mle==1 
                    601:      computes hessian
                    602:   read end of parameter file: agemin, agemax, bage, fage, estepm
                    603:       begin-prev-date,...
                    604:   open gnuplot file
                    605:   open html file
1.145     brouard   606:   period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
                    607:    for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
                    608:                                   | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
                    609:     freexexit2 possible for memory heap.
                    610: 
                    611:   h Pij x                         | pij_nom  ficrestpij
                    612:    # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
                    613:        1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
                    614:        1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
                    615: 
                    616:        1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
                    617:        1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
                    618:   variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
                    619:    Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
                    620:    Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
                    621: 
1.126     brouard   622:   forecasting if prevfcast==1 prevforecast call prevalence()
                    623:   health expectancies
                    624:   Variance-covariance of DFLE
                    625:   prevalence()
                    626:    movingaverage()
                    627:   varevsij() 
                    628:   if popbased==1 varevsij(,popbased)
                    629:   total life expectancies
                    630:   Variance of period (stable) prevalence
                    631:  end
                    632: */
                    633: 
1.187     brouard   634: /* #define DEBUG */
                    635: /* #define DEBUGBRENT */
1.165     brouard   636: #define POWELL /* Instead of NLOPT */
1.192     brouard   637: #define POWELLF1F3 /* Skip test */
1.186     brouard   638: /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
                    639: /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
1.126     brouard   640: 
                    641: #include <math.h>
                    642: #include <stdio.h>
                    643: #include <stdlib.h>
                    644: #include <string.h>
1.159     brouard   645: 
                    646: #ifdef _WIN32
                    647: #include <io.h>
1.172     brouard   648: #include <windows.h>
                    649: #include <tchar.h>
1.159     brouard   650: #else
1.126     brouard   651: #include <unistd.h>
1.159     brouard   652: #endif
1.126     brouard   653: 
                    654: #include <limits.h>
                    655: #include <sys/types.h>
1.171     brouard   656: 
                    657: #if defined(__GNUC__)
                    658: #include <sys/utsname.h> /* Doesn't work on Windows */
                    659: #endif
                    660: 
1.126     brouard   661: #include <sys/stat.h>
                    662: #include <errno.h>
1.159     brouard   663: /* extern int errno; */
1.126     brouard   664: 
1.157     brouard   665: /* #ifdef LINUX */
                    666: /* #include <time.h> */
                    667: /* #include "timeval.h" */
                    668: /* #else */
                    669: /* #include <sys/time.h> */
                    670: /* #endif */
                    671: 
1.126     brouard   672: #include <time.h>
                    673: 
1.136     brouard   674: #ifdef GSL
                    675: #include <gsl/gsl_errno.h>
                    676: #include <gsl/gsl_multimin.h>
                    677: #endif
                    678: 
1.167     brouard   679: 
1.162     brouard   680: #ifdef NLOPT
                    681: #include <nlopt.h>
                    682: typedef struct {
                    683:   double (* function)(double [] );
                    684: } myfunc_data ;
                    685: #endif
                    686: 
1.126     brouard   687: /* #include <libintl.h> */
                    688: /* #define _(String) gettext (String) */
                    689: 
1.141     brouard   690: #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
1.126     brouard   691: 
                    692: #define GNUPLOTPROGRAM "gnuplot"
                    693: /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
                    694: #define FILENAMELENGTH 132
                    695: 
                    696: #define        GLOCK_ERROR_NOPATH              -1      /* empty path */
                    697: #define        GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
                    698: 
1.144     brouard   699: #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
                    700: #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
1.126     brouard   701: 
                    702: #define NINTERVMAX 8
1.144     brouard   703: #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
                    704: #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
                    705: #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
1.197     brouard   706: #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
1.126     brouard   707: #define MAXN 20000
1.144     brouard   708: #define YEARM 12. /**< Number of months per year */
1.126     brouard   709: #define AGESUP 130
                    710: #define AGEBASE 40
1.194     brouard   711: #define AGEOVERFLOW 1.e20
1.164     brouard   712: #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
1.157     brouard   713: #ifdef _WIN32
                    714: #define DIRSEPARATOR '\\'
                    715: #define CHARSEPARATOR "\\"
                    716: #define ODIRSEPARATOR '/'
                    717: #else
1.126     brouard   718: #define DIRSEPARATOR '/'
                    719: #define CHARSEPARATOR "/"
                    720: #define ODIRSEPARATOR '\\'
                    721: #endif
                    722: 
1.200   ! brouard   723: /* $Id: imach.c,v 1.199 2015/09/07 14:09:23 brouard Exp $ */
1.126     brouard   724: /* $State: Exp $ */
1.196     brouard   725: #include "version.h"
                    726: char version[]=__IMACH_VERSION__;
1.197     brouard   727: char copyright[]="September 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
1.200   ! brouard   728: char fullversion[]="$Revision: 1.199 $ $Date: 2015/09/07 14:09:23 $"; 
1.126     brouard   729: char strstart[80];
                    730: char optionfilext[10], optionfilefiname[FILENAMELENGTH];
1.130     brouard   731: int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
1.187     brouard   732: int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
1.145     brouard   733: /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
                    734: int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
                    735: int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
                    736: int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
                    737: int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
                    738: int cptcovprodnoage=0; /**< Number of covariate products without age */   
                    739: int cptcoveff=0; /* Total number of covariates to vary for printing results */
                    740: int cptcov=0; /* Working variable */
1.126     brouard   741: int npar=NPARMAX;
                    742: int nlstate=2; /* Number of live states */
                    743: int ndeath=1; /* Number of dead states */
1.130     brouard   744: int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
1.126     brouard   745: int popbased=0;
                    746: 
                    747: int *wav; /* Number of waves for this individuual 0 is possible */
1.130     brouard   748: int maxwav=0; /* Maxim number of waves */
                    749: int jmin=0, jmax=0; /* min, max spacing between 2 waves */
                    750: int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
                    751: int gipmx=0, gsw=0; /* Global variables on the number of contributions 
1.126     brouard   752:                   to the likelihood and the sum of weights (done by funcone)*/
1.130     brouard   753: int mle=1, weightopt=0;
1.126     brouard   754: int **mw; /* mw[mi][i] is number of the mi wave for this individual */
                    755: int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
                    756: int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
                    757:           * wave mi and wave mi+1 is not an exact multiple of stepm. */
1.162     brouard   758: int countcallfunc=0;  /* Count the number of calls to func */
1.130     brouard   759: double jmean=1; /* Mean space between 2 waves */
1.145     brouard   760: double **matprod2(); /* test */
1.126     brouard   761: double **oldm, **newm, **savm; /* Working pointers to matrices */
                    762: double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
1.136     brouard   763: /*FILE *fic ; */ /* Used in readdata only */
                    764: FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
1.126     brouard   765: FILE *ficlog, *ficrespow;
1.130     brouard   766: int globpr=0; /* Global variable for printing or not */
1.126     brouard   767: double fretone; /* Only one call to likelihood */
1.130     brouard   768: long ipmx=0; /* Number of contributions */
1.126     brouard   769: double sw; /* Sum of weights */
                    770: char filerespow[FILENAMELENGTH];
                    771: char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
                    772: FILE *ficresilk;
                    773: FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
                    774: FILE *ficresprobmorprev;
                    775: FILE *fichtm, *fichtmcov; /* Html File */
                    776: FILE *ficreseij;
                    777: char filerese[FILENAMELENGTH];
                    778: FILE *ficresstdeij;
                    779: char fileresstde[FILENAMELENGTH];
                    780: FILE *ficrescveij;
                    781: char filerescve[FILENAMELENGTH];
                    782: FILE  *ficresvij;
                    783: char fileresv[FILENAMELENGTH];
                    784: FILE  *ficresvpl;
                    785: char fileresvpl[FILENAMELENGTH];
                    786: char title[MAXLINE];
                    787: char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
                    788: char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
                    789: char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
                    790: char command[FILENAMELENGTH];
                    791: int  outcmd=0;
                    792: 
                    793: char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
                    794: 
                    795: char filelog[FILENAMELENGTH]; /* Log file */
                    796: char filerest[FILENAMELENGTH];
                    797: char fileregp[FILENAMELENGTH];
                    798: char popfile[FILENAMELENGTH];
                    799: 
                    800: char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
                    801: 
1.157     brouard   802: /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
                    803: /* struct timezone tzp; */
                    804: /* extern int gettimeofday(); */
                    805: struct tm tml, *gmtime(), *localtime();
                    806: 
                    807: extern time_t time();
                    808: 
                    809: struct tm start_time, end_time, curr_time, last_time, forecast_time;
                    810: time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
                    811: struct tm tm;
                    812: 
1.126     brouard   813: char strcurr[80], strfor[80];
                    814: 
                    815: char *endptr;
                    816: long lval;
                    817: double dval;
                    818: 
                    819: #define NR_END 1
                    820: #define FREE_ARG char*
                    821: #define FTOL 1.0e-10
                    822: 
                    823: #define NRANSI 
                    824: #define ITMAX 200 
                    825: 
                    826: #define TOL 2.0e-4 
                    827: 
                    828: #define CGOLD 0.3819660 
                    829: #define ZEPS 1.0e-10 
                    830: #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
                    831: 
                    832: #define GOLD 1.618034 
                    833: #define GLIMIT 100.0 
                    834: #define TINY 1.0e-20 
                    835: 
                    836: static double maxarg1,maxarg2;
                    837: #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
                    838: #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
                    839:   
                    840: #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
                    841: #define rint(a) floor(a+0.5)
1.166     brouard   842: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
1.183     brouard   843: #define mytinydouble 1.0e-16
1.166     brouard   844: /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
                    845: /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
                    846: /* static double dsqrarg; */
                    847: /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
1.126     brouard   848: static double sqrarg;
                    849: #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
                    850: #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
                    851: int agegomp= AGEGOMP;
                    852: 
                    853: int imx; 
                    854: int stepm=1;
                    855: /* Stepm, step in month: minimum step interpolation*/
                    856: 
                    857: int estepm;
                    858: /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
                    859: 
                    860: int m,nb;
                    861: long *num;
1.197     brouard   862: int firstpass=0, lastpass=4,*cod, *cens;
1.192     brouard   863: int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
                    864:                   covariate for which somebody answered excluding 
                    865:                   undefined. Usually 2: 0 and 1. */
                    866: int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
                    867:                             covariate for which somebody answered including 
                    868:                             undefined. Usually 3: -1, 0 and 1. */
1.126     brouard   869: double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
                    870: double **pmmij, ***probs;
                    871: double *ageexmed,*agecens;
                    872: double dateintmean=0;
                    873: 
                    874: double *weight;
                    875: int **s; /* Status */
1.141     brouard   876: double *agedc;
1.145     brouard   877: double  **covar; /**< covar[j,i], value of jth covariate for individual i,
1.141     brouard   878:                  * covar=matrix(0,NCOVMAX,1,n); 
1.187     brouard   879:                  * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
1.141     brouard   880: double  idx; 
                    881: int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
1.197     brouard   882: int *Tage;
1.145     brouard   883: int *Ndum; /** Freq of modality (tricode */
1.200   ! brouard   884: /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
1.141     brouard   885: int **Tvard, *Tprod, cptcovprod, *Tvaraff;
1.126     brouard   886: double *lsurv, *lpop, *tpop;
                    887: 
1.143     brouard   888: double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
                    889: double ftolhess; /**< Tolerance for computing hessian */
1.126     brouard   890: 
                    891: /**************** split *************************/
                    892: static int split( char *path, char *dirc, char *name, char *ext, char *finame )
                    893: {
                    894:   /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
                    895:      the name of the file (name), its extension only (ext) and its first part of the name (finame)
                    896:   */ 
                    897:   char *ss;                            /* pointer */
1.186     brouard   898:   int  l1=0, l2=0;                             /* length counters */
1.126     brouard   899: 
                    900:   l1 = strlen(path );                  /* length of path */
                    901:   if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
                    902:   ss= strrchr( path, DIRSEPARATOR );           /* find last / */
                    903:   if ( ss == NULL ) {                  /* no directory, so determine current directory */
                    904:     strcpy( name, path );              /* we got the fullname name because no directory */
                    905:     /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                    906:       printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
                    907:     /* get current working directory */
                    908:     /*    extern  char* getcwd ( char *buf , int len);*/
1.184     brouard   909: #ifdef WIN32
                    910:     if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
                    911: #else
                    912:        if (getcwd(dirc, FILENAME_MAX) == NULL) {
                    913: #endif
1.126     brouard   914:       return( GLOCK_ERROR_GETCWD );
                    915:     }
                    916:     /* got dirc from getcwd*/
                    917:     printf(" DIRC = %s \n",dirc);
                    918:   } else {                             /* strip direcotry from path */
                    919:     ss++;                              /* after this, the filename */
                    920:     l2 = strlen( ss );                 /* length of filename */
                    921:     if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
                    922:     strcpy( name, ss );                /* save file name */
                    923:     strncpy( dirc, path, l1 - l2 );    /* now the directory */
1.186     brouard   924:     dirc[l1-l2] = '\0';                        /* add zero */
1.126     brouard   925:     printf(" DIRC2 = %s \n",dirc);
                    926:   }
                    927:   /* We add a separator at the end of dirc if not exists */
                    928:   l1 = strlen( dirc );                 /* length of directory */
                    929:   if( dirc[l1-1] != DIRSEPARATOR ){
                    930:     dirc[l1] =  DIRSEPARATOR;
                    931:     dirc[l1+1] = 0; 
                    932:     printf(" DIRC3 = %s \n",dirc);
                    933:   }
                    934:   ss = strrchr( name, '.' );           /* find last / */
                    935:   if (ss >0){
                    936:     ss++;
                    937:     strcpy(ext,ss);                    /* save extension */
                    938:     l1= strlen( name);
                    939:     l2= strlen(ss)+1;
                    940:     strncpy( finame, name, l1-l2);
                    941:     finame[l1-l2]= 0;
                    942:   }
                    943: 
                    944:   return( 0 );                         /* we're done */
                    945: }
                    946: 
                    947: 
                    948: /******************************************/
                    949: 
                    950: void replace_back_to_slash(char *s, char*t)
                    951: {
                    952:   int i;
                    953:   int lg=0;
                    954:   i=0;
                    955:   lg=strlen(t);
                    956:   for(i=0; i<= lg; i++) {
                    957:     (s[i] = t[i]);
                    958:     if (t[i]== '\\') s[i]='/';
                    959:   }
                    960: }
                    961: 
1.132     brouard   962: char *trimbb(char *out, char *in)
1.137     brouard   963: { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
1.132     brouard   964:   char *s;
                    965:   s=out;
                    966:   while (*in != '\0'){
1.137     brouard   967:     while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
1.132     brouard   968:       in++;
                    969:     }
                    970:     *out++ = *in++;
                    971:   }
                    972:   *out='\0';
                    973:   return s;
                    974: }
                    975: 
1.187     brouard   976: /* char *substrchaine(char *out, char *in, char *chain) */
                    977: /* { */
                    978: /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
                    979: /*   char *s, *t; */
                    980: /*   t=in;s=out; */
                    981: /*   while ((*in != *chain) && (*in != '\0')){ */
                    982: /*     *out++ = *in++; */
                    983: /*   } */
                    984: 
                    985: /*   /\* *in matches *chain *\/ */
                    986: /*   while ((*in++ == *chain++) && (*in != '\0')){ */
                    987: /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    988: /*   } */
                    989: /*   in--; chain--; */
                    990: /*   while ( (*in != '\0')){ */
                    991: /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    992: /*     *out++ = *in++; */
                    993: /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
                    994: /*   } */
                    995: /*   *out='\0'; */
                    996: /*   out=s; */
                    997: /*   return out; */
                    998: /* } */
                    999: char *substrchaine(char *out, char *in, char *chain)
                   1000: {
                   1001:   /* Substract chain 'chain' from 'in', return and output 'out' */
                   1002:   /* in="V1+V1*age+age*age+V2", chain="age*age" */
                   1003: 
                   1004:   char *strloc;
                   1005: 
                   1006:   strcpy (out, in); 
                   1007:   strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
                   1008:   printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
                   1009:   if(strloc != NULL){ 
                   1010:     /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
                   1011:     memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
                   1012:     /* strcpy (strloc, strloc +strlen(chain));*/
                   1013:   }
                   1014:   printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
                   1015:   return out;
                   1016: }
                   1017: 
                   1018: 
1.145     brouard  1019: char *cutl(char *blocc, char *alocc, char *in, char occ)
                   1020: {
1.187     brouard  1021:   /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
1.145     brouard  1022:      and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
1.187     brouard  1023:      gives blocc="abcdef" and alocc="ghi2j".
1.145     brouard  1024:      If occ is not found blocc is null and alocc is equal to in. Returns blocc
                   1025:   */
1.160     brouard  1026:   char *s, *t;
1.145     brouard  1027:   t=in;s=in;
                   1028:   while ((*in != occ) && (*in != '\0')){
                   1029:     *alocc++ = *in++;
                   1030:   }
                   1031:   if( *in == occ){
                   1032:     *(alocc)='\0';
                   1033:     s=++in;
                   1034:   }
                   1035:  
                   1036:   if (s == t) {/* occ not found */
                   1037:     *(alocc-(in-s))='\0';
                   1038:     in=s;
                   1039:   }
                   1040:   while ( *in != '\0'){
                   1041:     *blocc++ = *in++;
                   1042:   }
                   1043: 
                   1044:   *blocc='\0';
                   1045:   return t;
                   1046: }
1.137     brouard  1047: char *cutv(char *blocc, char *alocc, char *in, char occ)
                   1048: {
1.187     brouard  1049:   /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
1.137     brouard  1050:      and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
                   1051:      gives blocc="abcdef2ghi" and alocc="j".
                   1052:      If occ is not found blocc is null and alocc is equal to in. Returns alocc
                   1053:   */
                   1054:   char *s, *t;
                   1055:   t=in;s=in;
                   1056:   while (*in != '\0'){
                   1057:     while( *in == occ){
                   1058:       *blocc++ = *in++;
                   1059:       s=in;
                   1060:     }
                   1061:     *blocc++ = *in++;
                   1062:   }
                   1063:   if (s == t) /* occ not found */
                   1064:     *(blocc-(in-s))='\0';
                   1065:   else
                   1066:     *(blocc-(in-s)-1)='\0';
                   1067:   in=s;
                   1068:   while ( *in != '\0'){
                   1069:     *alocc++ = *in++;
                   1070:   }
                   1071: 
                   1072:   *alocc='\0';
                   1073:   return s;
                   1074: }
                   1075: 
1.126     brouard  1076: int nbocc(char *s, char occ)
                   1077: {
                   1078:   int i,j=0;
                   1079:   int lg=20;
                   1080:   i=0;
                   1081:   lg=strlen(s);
                   1082:   for(i=0; i<= lg; i++) {
                   1083:   if  (s[i] == occ ) j++;
                   1084:   }
                   1085:   return j;
                   1086: }
                   1087: 
1.137     brouard  1088: /* void cutv(char *u,char *v, char*t, char occ) */
                   1089: /* { */
                   1090: /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
                   1091: /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
                   1092: /*      gives u="abcdef2ghi" and v="j" *\/ */
                   1093: /*   int i,lg,j,p=0; */
                   1094: /*   i=0; */
                   1095: /*   lg=strlen(t); */
                   1096: /*   for(j=0; j<=lg-1; j++) { */
                   1097: /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
                   1098: /*   } */
1.126     brouard  1099: 
1.137     brouard  1100: /*   for(j=0; j<p; j++) { */
                   1101: /*     (u[j] = t[j]); */
                   1102: /*   } */
                   1103: /*      u[p]='\0'; */
1.126     brouard  1104: 
1.137     brouard  1105: /*    for(j=0; j<= lg; j++) { */
                   1106: /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
                   1107: /*   } */
                   1108: /* } */
1.126     brouard  1109: 
1.160     brouard  1110: #ifdef _WIN32
                   1111: char * strsep(char **pp, const char *delim)
                   1112: {
                   1113:   char *p, *q;
                   1114:          
                   1115:   if ((p = *pp) == NULL)
                   1116:     return 0;
                   1117:   if ((q = strpbrk (p, delim)) != NULL)
                   1118:   {
                   1119:     *pp = q + 1;
                   1120:     *q = '\0';
                   1121:   }
                   1122:   else
                   1123:     *pp = 0;
                   1124:   return p;
                   1125: }
                   1126: #endif
                   1127: 
1.126     brouard  1128: /********************** nrerror ********************/
                   1129: 
                   1130: void nrerror(char error_text[])
                   1131: {
                   1132:   fprintf(stderr,"ERREUR ...\n");
                   1133:   fprintf(stderr,"%s\n",error_text);
                   1134:   exit(EXIT_FAILURE);
                   1135: }
                   1136: /*********************** vector *******************/
                   1137: double *vector(int nl, int nh)
                   1138: {
                   1139:   double *v;
                   1140:   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
                   1141:   if (!v) nrerror("allocation failure in vector");
                   1142:   return v-nl+NR_END;
                   1143: }
                   1144: 
                   1145: /************************ free vector ******************/
                   1146: void free_vector(double*v, int nl, int nh)
                   1147: {
                   1148:   free((FREE_ARG)(v+nl-NR_END));
                   1149: }
                   1150: 
                   1151: /************************ivector *******************************/
                   1152: int *ivector(long nl,long nh)
                   1153: {
                   1154:   int *v;
                   1155:   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
                   1156:   if (!v) nrerror("allocation failure in ivector");
                   1157:   return v-nl+NR_END;
                   1158: }
                   1159: 
                   1160: /******************free ivector **************************/
                   1161: void free_ivector(int *v, long nl, long nh)
                   1162: {
                   1163:   free((FREE_ARG)(v+nl-NR_END));
                   1164: }
                   1165: 
                   1166: /************************lvector *******************************/
                   1167: long *lvector(long nl,long nh)
                   1168: {
                   1169:   long *v;
                   1170:   v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
                   1171:   if (!v) nrerror("allocation failure in ivector");
                   1172:   return v-nl+NR_END;
                   1173: }
                   1174: 
                   1175: /******************free lvector **************************/
                   1176: void free_lvector(long *v, long nl, long nh)
                   1177: {
                   1178:   free((FREE_ARG)(v+nl-NR_END));
                   1179: }
                   1180: 
                   1181: /******************* imatrix *******************************/
                   1182: int **imatrix(long nrl, long nrh, long ncl, long nch) 
                   1183:      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
                   1184: { 
                   1185:   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
                   1186:   int **m; 
                   1187:   
                   1188:   /* allocate pointers to rows */ 
                   1189:   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
                   1190:   if (!m) nrerror("allocation failure 1 in matrix()"); 
                   1191:   m += NR_END; 
                   1192:   m -= nrl; 
                   1193:   
                   1194:   
                   1195:   /* allocate rows and set pointers to them */ 
                   1196:   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
                   1197:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
                   1198:   m[nrl] += NR_END; 
                   1199:   m[nrl] -= ncl; 
                   1200:   
                   1201:   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
                   1202:   
                   1203:   /* return pointer to array of pointers to rows */ 
                   1204:   return m; 
                   1205: } 
                   1206: 
                   1207: /****************** free_imatrix *************************/
                   1208: void free_imatrix(m,nrl,nrh,ncl,nch)
                   1209:       int **m;
                   1210:       long nch,ncl,nrh,nrl; 
                   1211:      /* free an int matrix allocated by imatrix() */ 
                   1212: { 
                   1213:   free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
                   1214:   free((FREE_ARG) (m+nrl-NR_END)); 
                   1215: } 
                   1216: 
                   1217: /******************* matrix *******************************/
                   1218: double **matrix(long nrl, long nrh, long ncl, long nch)
                   1219: {
                   1220:   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
                   1221:   double **m;
                   1222: 
                   1223:   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1224:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1225:   m += NR_END;
                   1226:   m -= nrl;
                   1227: 
                   1228:   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1229:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1230:   m[nrl] += NR_END;
                   1231:   m[nrl] -= ncl;
                   1232: 
                   1233:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1234:   return m;
1.145     brouard  1235:   /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
                   1236: m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
                   1237: that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
1.126     brouard  1238:    */
                   1239: }
                   1240: 
                   1241: /*************************free matrix ************************/
                   1242: void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                   1243: {
                   1244:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1245:   free((FREE_ARG)(m+nrl-NR_END));
                   1246: }
                   1247: 
                   1248: /******************* ma3x *******************************/
                   1249: double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
                   1250: {
                   1251:   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
                   1252:   double ***m;
                   1253: 
                   1254:   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
                   1255:   if (!m) nrerror("allocation failure 1 in matrix()");
                   1256:   m += NR_END;
                   1257:   m -= nrl;
                   1258: 
                   1259:   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
                   1260:   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
                   1261:   m[nrl] += NR_END;
                   1262:   m[nrl] -= ncl;
                   1263: 
                   1264:   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
                   1265: 
                   1266:   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
                   1267:   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
                   1268:   m[nrl][ncl] += NR_END;
                   1269:   m[nrl][ncl] -= nll;
                   1270:   for (j=ncl+1; j<=nch; j++) 
                   1271:     m[nrl][j]=m[nrl][j-1]+nlay;
                   1272:   
                   1273:   for (i=nrl+1; i<=nrh; i++) {
                   1274:     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
                   1275:     for (j=ncl+1; j<=nch; j++) 
                   1276:       m[i][j]=m[i][j-1]+nlay;
                   1277:   }
                   1278:   return m; 
                   1279:   /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
                   1280:            &(m[i][j][k]) <=> *((*(m+i) + j)+k)
                   1281:   */
                   1282: }
                   1283: 
                   1284: /*************************free ma3x ************************/
                   1285: void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
                   1286: {
                   1287:   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
                   1288:   free((FREE_ARG)(m[nrl]+ncl-NR_END));
                   1289:   free((FREE_ARG)(m+nrl-NR_END));
                   1290: }
                   1291: 
                   1292: /*************** function subdirf ***********/
                   1293: char *subdirf(char fileres[])
                   1294: {
                   1295:   /* Caution optionfilefiname is hidden */
                   1296:   strcpy(tmpout,optionfilefiname);
                   1297:   strcat(tmpout,"/"); /* Add to the right */
                   1298:   strcat(tmpout,fileres);
                   1299:   return tmpout;
                   1300: }
                   1301: 
                   1302: /*************** function subdirf2 ***********/
                   1303: char *subdirf2(char fileres[], char *preop)
                   1304: {
                   1305:   
                   1306:   /* Caution optionfilefiname is hidden */
                   1307:   strcpy(tmpout,optionfilefiname);
                   1308:   strcat(tmpout,"/");
                   1309:   strcat(tmpout,preop);
                   1310:   strcat(tmpout,fileres);
                   1311:   return tmpout;
                   1312: }
                   1313: 
                   1314: /*************** function subdirf3 ***********/
                   1315: char *subdirf3(char fileres[], char *preop, char *preop2)
                   1316: {
                   1317:   
                   1318:   /* Caution optionfilefiname is hidden */
                   1319:   strcpy(tmpout,optionfilefiname);
                   1320:   strcat(tmpout,"/");
                   1321:   strcat(tmpout,preop);
                   1322:   strcat(tmpout,preop2);
                   1323:   strcat(tmpout,fileres);
                   1324:   return tmpout;
                   1325: }
                   1326: 
1.162     brouard  1327: char *asc_diff_time(long time_sec, char ascdiff[])
                   1328: {
                   1329:   long sec_left, days, hours, minutes;
                   1330:   days = (time_sec) / (60*60*24);
                   1331:   sec_left = (time_sec) % (60*60*24);
                   1332:   hours = (sec_left) / (60*60) ;
                   1333:   sec_left = (sec_left) %(60*60);
                   1334:   minutes = (sec_left) /60;
                   1335:   sec_left = (sec_left) % (60);
                   1336:   sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
                   1337:   return ascdiff;
                   1338: }
                   1339: 
1.126     brouard  1340: /***************** f1dim *************************/
                   1341: extern int ncom; 
                   1342: extern double *pcom,*xicom;
                   1343: extern double (*nrfunc)(double []); 
                   1344:  
                   1345: double f1dim(double x) 
                   1346: { 
                   1347:   int j; 
                   1348:   double f;
                   1349:   double *xt; 
                   1350:  
                   1351:   xt=vector(1,ncom); 
                   1352:   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
                   1353:   f=(*nrfunc)(xt); 
                   1354:   free_vector(xt,1,ncom); 
                   1355:   return f; 
                   1356: } 
                   1357: 
                   1358: /*****************brent *************************/
                   1359: double brent(double ax, double bx, double cx, double (*f)(double), double tol,         double *xmin) 
1.187     brouard  1360: {
                   1361:   /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
                   1362:    * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
                   1363:    * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                   1364:    * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   1365:    * returned function value. 
                   1366:   */
1.126     brouard  1367:   int iter; 
                   1368:   double a,b,d,etemp;
1.159     brouard  1369:   double fu=0,fv,fw,fx;
1.164     brouard  1370:   double ftemp=0.;
1.126     brouard  1371:   double p,q,r,tol1,tol2,u,v,w,x,xm; 
                   1372:   double e=0.0; 
                   1373:  
                   1374:   a=(ax < cx ? ax : cx); 
                   1375:   b=(ax > cx ? ax : cx); 
                   1376:   x=w=v=bx; 
                   1377:   fw=fv=fx=(*f)(x); 
                   1378:   for (iter=1;iter<=ITMAX;iter++) { 
                   1379:     xm=0.5*(a+b); 
                   1380:     tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
                   1381:     /*         if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
                   1382:     printf(".");fflush(stdout);
                   1383:     fprintf(ficlog,".");fflush(ficlog);
1.162     brouard  1384: #ifdef DEBUGBRENT
1.126     brouard  1385:     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);
                   1386:     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);
                   1387:     /*         if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
                   1388: #endif
                   1389:     if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                   1390:       *xmin=x; 
                   1391:       return fx; 
                   1392:     } 
                   1393:     ftemp=fu;
                   1394:     if (fabs(e) > tol1) { 
                   1395:       r=(x-w)*(fx-fv); 
                   1396:       q=(x-v)*(fx-fw); 
                   1397:       p=(x-v)*q-(x-w)*r; 
                   1398:       q=2.0*(q-r); 
                   1399:       if (q > 0.0) p = -p; 
                   1400:       q=fabs(q); 
                   1401:       etemp=e; 
                   1402:       e=d; 
                   1403:       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
                   1404:        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1405:       else { 
                   1406:        d=p/q; 
                   1407:        u=x+d; 
                   1408:        if (u-a < tol2 || b-u < tol2) 
                   1409:          d=SIGN(tol1,xm-x); 
                   1410:       } 
                   1411:     } else { 
                   1412:       d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
                   1413:     } 
                   1414:     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
                   1415:     fu=(*f)(u); 
                   1416:     if (fu <= fx) { 
                   1417:       if (u >= x) a=x; else b=x; 
                   1418:       SHFT(v,w,x,u) 
1.183     brouard  1419:       SHFT(fv,fw,fx,fu) 
                   1420:     } else { 
                   1421:       if (u < x) a=u; else b=u; 
                   1422:       if (fu <= fw || w == x) { 
                   1423:        v=w; 
                   1424:        w=u; 
                   1425:        fv=fw; 
                   1426:        fw=fu; 
                   1427:       } else if (fu <= fv || v == x || v == w) { 
                   1428:        v=u; 
                   1429:        fv=fu; 
                   1430:       } 
                   1431:     } 
1.126     brouard  1432:   } 
                   1433:   nrerror("Too many iterations in brent"); 
                   1434:   *xmin=x; 
                   1435:   return fx; 
                   1436: } 
                   1437: 
                   1438: /****************** mnbrak ***********************/
                   1439: 
                   1440: void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
                   1441:            double (*func)(double)) 
1.183     brouard  1442: { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
                   1443: the downhill direction (defined by the function as evaluated at the initial points) and returns
                   1444: new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
                   1445: values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
                   1446:    */
1.126     brouard  1447:   double ulim,u,r,q, dum;
                   1448:   double fu; 
1.187     brouard  1449: 
                   1450:   double scale=10.;
                   1451:   int iterscale=0;
                   1452: 
                   1453:   *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
                   1454:   *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
                   1455: 
                   1456: 
                   1457:   /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
                   1458:   /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
                   1459:   /*   *bx = *ax - (*ax - *bx)/scale; */
                   1460:   /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
                   1461:   /* } */
                   1462: 
1.126     brouard  1463:   if (*fb > *fa) { 
                   1464:     SHFT(dum,*ax,*bx,dum) 
1.183     brouard  1465:     SHFT(dum,*fb,*fa,dum) 
                   1466:   } 
1.126     brouard  1467:   *cx=(*bx)+GOLD*(*bx-*ax); 
                   1468:   *fc=(*func)(*cx); 
1.183     brouard  1469: #ifdef DEBUG
                   1470:   printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1471:   fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
                   1472: #endif
                   1473:   while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
1.126     brouard  1474:     r=(*bx-*ax)*(*fb-*fc); 
                   1475:     q=(*bx-*cx)*(*fb-*fa); 
                   1476:     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
1.183     brouard  1477:       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
                   1478:     ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
                   1479:     if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
1.126     brouard  1480:       fu=(*func)(u); 
1.163     brouard  1481: #ifdef DEBUG
                   1482:       /* f(x)=A(x-u)**2+f(u) */
                   1483:       double A, fparabu; 
                   1484:       A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
                   1485:       fparabu= *fa - A*(*ax-u)*(*ax-u);
                   1486:       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);
                   1487:       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  1488:       /* And thus,it can be that fu > *fc even if fparabu < *fc */
                   1489:       /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
                   1490:         (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
                   1491:       /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
1.163     brouard  1492: #endif 
1.184     brouard  1493: #ifdef MNBRAKORIGINAL
1.183     brouard  1494: #else
1.191     brouard  1495: /*       if (fu > *fc) { */
                   1496: /* #ifdef DEBUG */
                   1497: /*       printf("mnbrak4  fu > fc \n"); */
                   1498: /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
                   1499: /* #endif */
                   1500: /*     /\* 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 *\\/  *\/ */
                   1501: /*     /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
                   1502: /*     dum=u; /\* Shifting c and u *\/ */
                   1503: /*     u = *cx; */
                   1504: /*     *cx = dum; */
                   1505: /*     dum = fu; */
                   1506: /*     fu = *fc; */
                   1507: /*     *fc =dum; */
                   1508: /*       } else { /\* end *\/ */
                   1509: /* #ifdef DEBUG */
                   1510: /*       printf("mnbrak3  fu < fc \n"); */
                   1511: /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
                   1512: /* #endif */
                   1513: /*     dum=u; /\* Shifting c and u *\/ */
                   1514: /*     u = *cx; */
                   1515: /*     *cx = dum; */
                   1516: /*     dum = fu; */
                   1517: /*     fu = *fc; */
                   1518: /*     *fc =dum; */
                   1519: /*       } */
1.183     brouard  1520: #ifdef DEBUG
1.191     brouard  1521:       printf("mnbrak34  fu < or >= fc \n");
                   1522:       fprintf(ficlog, "mnbrak34 fu < fc\n");
1.183     brouard  1523: #endif
1.191     brouard  1524:       dum=u; /* Shifting c and u */
                   1525:       u = *cx;
                   1526:       *cx = dum;
                   1527:       dum = fu;
                   1528:       fu = *fc;
                   1529:       *fc =dum;
1.183     brouard  1530: #endif
1.162     brouard  1531:     } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
1.183     brouard  1532: #ifdef DEBUG
                   1533:       printf("mnbrak2  u after c but before ulim\n");
                   1534:       fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
                   1535: #endif
1.126     brouard  1536:       fu=(*func)(u); 
                   1537:       if (fu < *fc) { 
1.183     brouard  1538: #ifdef DEBUG
                   1539:       printf("mnbrak2  u after c but before ulim AND fu < fc\n");
                   1540:       fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
                   1541: #endif
1.126     brouard  1542:        SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
1.183     brouard  1543:        SHFT(*fb,*fc,fu,(*func)(u)) 
                   1544:       } 
1.162     brouard  1545:     } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
1.183     brouard  1546: #ifdef DEBUG
                   1547:       printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
                   1548:       fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
                   1549: #endif
1.126     brouard  1550:       u=ulim; 
                   1551:       fu=(*func)(u); 
1.183     brouard  1552:     } else { /* u could be left to b (if r > q parabola has a maximum) */
                   1553: #ifdef DEBUG
                   1554:       printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1555:       fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
                   1556: #endif
1.126     brouard  1557:       u=(*cx)+GOLD*(*cx-*bx); 
                   1558:       fu=(*func)(u); 
1.183     brouard  1559:     } /* end tests */
1.126     brouard  1560:     SHFT(*ax,*bx,*cx,u) 
1.183     brouard  1561:     SHFT(*fa,*fb,*fc,fu) 
                   1562: #ifdef DEBUG
                   1563:       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);
                   1564:       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);
                   1565: #endif
                   1566:   } /* 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  1567: } 
                   1568: 
                   1569: /*************** linmin ************************/
1.162     brouard  1570: /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
                   1571: resets p to where the function func(p) takes on a minimum along the direction xi from p ,
                   1572: and replaces xi by the actual vector displacement that p was moved. Also returns as fret
                   1573: the value of func at the returned location p . This is actually all accomplished by calling the
                   1574: routines mnbrak and brent .*/
1.126     brouard  1575: int ncom; 
                   1576: double *pcom,*xicom;
                   1577: double (*nrfunc)(double []); 
                   1578:  
                   1579: void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
                   1580: { 
                   1581:   double brent(double ax, double bx, double cx, 
                   1582:               double (*f)(double), double tol, double *xmin); 
                   1583:   double f1dim(double x); 
                   1584:   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
                   1585:              double *fc, double (*func)(double)); 
                   1586:   int j; 
                   1587:   double xx,xmin,bx,ax; 
                   1588:   double fx,fb,fa;
1.187     brouard  1589: 
                   1590:   double scale=10., axs, xxs, xxss; /* Scale added for infinity */
1.126     brouard  1591:  
                   1592:   ncom=n; 
                   1593:   pcom=vector(1,n); 
                   1594:   xicom=vector(1,n); 
                   1595:   nrfunc=func; 
                   1596:   for (j=1;j<=n;j++) { 
                   1597:     pcom[j]=p[j]; 
                   1598:     xicom[j]=xi[j]; 
                   1599:   } 
1.187     brouard  1600: 
1.192     brouard  1601:   /* axs=0.0; */
                   1602:   /* xxss=1; /\* 1 and using scale *\/ */
1.187     brouard  1603:   xxs=1;
1.192     brouard  1604:   /* do{ */
1.187     brouard  1605:     ax=0.;
                   1606:     xx= xxs;
                   1607:     mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
                   1608:     /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
                   1609:     /* 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))   */
                   1610:     /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
                   1611:     /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
                   1612:     /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
                   1613:     /* Find a bracket a,x,b in direction n=xi ie xicom, order may change. Scale is [0:xxs*xi[j]] et non plus  [0:xi[j]]*/
1.192     brouard  1614:   /*   if (fx != fx){ */
                   1615:   /*   xxs=xxs/scale; /\* Trying a smaller xx, closer to initial ax=0 *\/ */
                   1616:   /*   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); */
                   1617:   /*   } */
                   1618:   /* }while(fx != fx); */
1.187     brouard  1619: 
1.191     brouard  1620: #ifdef DEBUGLINMIN
                   1621:   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);
                   1622: #endif
1.187     brouard  1623:   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
                   1624:   /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
                   1625:   /* fmin = f(p[j] + xmin * xi[j]) */
                   1626:   /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
                   1627:   /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
1.126     brouard  1628: #ifdef DEBUG
                   1629:   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1630:   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
                   1631: #endif
1.191     brouard  1632: #ifdef DEBUGLINMIN
                   1633:   printf("linmin end ");
                   1634: #endif
1.126     brouard  1635:   for (j=1;j<=n;j++) { 
1.188     brouard  1636:     /* printf(" before xi[%d]=%12.8f", j,xi[j]); */
1.187     brouard  1637:     xi[j] *= xmin; /* xi rescaled by xmin: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
1.189     brouard  1638:     /* if(xxs <1.0) */
                   1639:     /*   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  1640:     p[j] += xi[j]; /* Parameters values are updated accordingly */
1.126     brouard  1641:   } 
1.189     brouard  1642:   /* printf("\n"); */
1.191     brouard  1643: #ifdef DEBUGLINMIN
                   1644:   printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
                   1645:   for (j=1;j<=n;j++) { 
                   1646:     printf(" xi[%d]= %12.7f p[%d]= %12.7f",j,xi[j],j,p[j]);
                   1647:     if(j % ncovmodel == 0)
                   1648:       printf("\n");
                   1649:   }
                   1650: #endif
1.126     brouard  1651:   free_vector(xicom,1,n); 
                   1652:   free_vector(pcom,1,n); 
                   1653: } 
                   1654: 
                   1655: 
                   1656: /*************** powell ************************/
1.162     brouard  1657: /*
                   1658: Minimization of a function func of n variables. Input consists of an initial starting point
                   1659: p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
                   1660: rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
                   1661: such that failure to decrease by more than this amount on one iteration signals doneness. On
                   1662: output, p is set to the best point found, xi is the then-current direction set, fret is the returned
                   1663: function value at p , and iter is the number of iterations taken. The routine linmin is used.
                   1664:  */
1.126     brouard  1665: void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                   1666:            double (*func)(double [])) 
                   1667: { 
                   1668:   void linmin(double p[], double xi[], int n, double *fret, 
                   1669:              double (*func)(double [])); 
                   1670:   int i,ibig,j; 
                   1671:   double del,t,*pt,*ptt,*xit;
1.181     brouard  1672:   double directest;
1.126     brouard  1673:   double fp,fptt;
                   1674:   double *xits;
                   1675:   int niterf, itmp;
                   1676: 
                   1677:   pt=vector(1,n); 
                   1678:   ptt=vector(1,n); 
                   1679:   xit=vector(1,n); 
                   1680:   xits=vector(1,n); 
                   1681:   *fret=(*func)(p); 
                   1682:   for (j=1;j<=n;j++) pt[j]=p[j]; 
1.157     brouard  1683:     rcurr_time = time(NULL);  
1.126     brouard  1684:   for (*iter=1;;++(*iter)) { 
1.187     brouard  1685:     fp=(*fret); /* From former iteration or initial value */
1.126     brouard  1686:     ibig=0; 
                   1687:     del=0.0; 
1.157     brouard  1688:     rlast_time=rcurr_time;
                   1689:     /* (void) gettimeofday(&curr_time,&tzp); */
                   1690:     rcurr_time = time(NULL);  
                   1691:     curr_time = *localtime(&rcurr_time);
                   1692:     printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
                   1693:     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
                   1694: /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
1.192     brouard  1695:     for (i=1;i<=n;i++) {
1.126     brouard  1696:       printf(" %d %.12f",i, p[i]);
                   1697:       fprintf(ficlog," %d %.12lf",i, p[i]);
                   1698:       fprintf(ficrespow," %.12lf", p[i]);
                   1699:     }
                   1700:     printf("\n");
                   1701:     fprintf(ficlog,"\n");
                   1702:     fprintf(ficrespow,"\n");fflush(ficrespow);
                   1703:     if(*iter <=3){
1.157     brouard  1704:       tml = *localtime(&rcurr_time);
                   1705:       strcpy(strcurr,asctime(&tml));
                   1706:       rforecast_time=rcurr_time; 
1.126     brouard  1707:       itmp = strlen(strcurr);
                   1708:       if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
                   1709:        strcurr[itmp-1]='\0';
1.162     brouard  1710:       printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.157     brouard  1711:       fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
1.126     brouard  1712:       for(niterf=10;niterf<=30;niterf+=10){
1.157     brouard  1713:        rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
                   1714:        forecast_time = *localtime(&rforecast_time);
                   1715:        strcpy(strfor,asctime(&forecast_time));
1.126     brouard  1716:        itmp = strlen(strfor);
                   1717:        if(strfor[itmp-1]=='\n')
                   1718:        strfor[itmp-1]='\0';
1.157     brouard  1719:        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);
                   1720:        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  1721:       }
                   1722:     }
1.187     brouard  1723:     for (i=1;i<=n;i++) { /* For each direction i */
                   1724:       for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
1.126     brouard  1725:       fptt=(*fret); 
                   1726: #ifdef DEBUG
1.164     brouard  1727:          printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
                   1728:          fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
1.126     brouard  1729: #endif
1.187     brouard  1730:          printf("%d",i);fflush(stdout); /* print direction (parameter) i */
1.126     brouard  1731:       fprintf(ficlog,"%d",i);fflush(ficlog);
1.188     brouard  1732:       linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
                   1733:                                    /* Outputs are fret(new point p) p is updated and xit rescaled */
                   1734:       if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
                   1735:        /* because that direction will be replaced unless the gain del is small */
                   1736:        /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
                   1737:        /* Unless the n directions are conjugate some gain in the determinant may be obtained */
                   1738:        /* with the new direction. */
1.126     brouard  1739:        del=fabs(fptt-(*fret)); 
                   1740:        ibig=i; 
                   1741:       } 
                   1742: #ifdef DEBUG
                   1743:       printf("%d %.12e",i,(*fret));
                   1744:       fprintf(ficlog,"%d %.12e",i,(*fret));
                   1745:       for (j=1;j<=n;j++) {
                   1746:        xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
                   1747:        printf(" x(%d)=%.12e",j,xit[j]);
                   1748:        fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
                   1749:       }
                   1750:       for(j=1;j<=n;j++) {
1.162     brouard  1751:        printf(" p(%d)=%.12e",j,p[j]);
                   1752:        fprintf(ficlog," p(%d)=%.12e",j,p[j]);
1.126     brouard  1753:       }
                   1754:       printf("\n");
                   1755:       fprintf(ficlog,"\n");
                   1756: #endif
1.187     brouard  1757:     } /* end loop on each direction i */
                   1758:     /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
1.188     brouard  1759:     /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
1.187     brouard  1760:     /* New value of last point Pn is not computed, P(n-1) */
1.182     brouard  1761:     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
1.188     brouard  1762:       /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
                   1763:       /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
                   1764:       /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
                   1765:       /* decreased of more than 3.84  */
                   1766:       /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
                   1767:       /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
                   1768:       /* By adding 10 parameters more the gain should be 18.31 */
                   1769: 
                   1770:       /* Starting the program with initial values given by a former maximization will simply change */
                   1771:       /* the scales of the directions and the directions, because the are reset to canonical directions */
                   1772:       /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
                   1773:       /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
1.126     brouard  1774: #ifdef DEBUG
                   1775:       int k[2],l;
                   1776:       k[0]=1;
                   1777:       k[1]=-1;
                   1778:       printf("Max: %.12e",(*func)(p));
                   1779:       fprintf(ficlog,"Max: %.12e",(*func)(p));
                   1780:       for (j=1;j<=n;j++) {
                   1781:        printf(" %.12e",p[j]);
                   1782:        fprintf(ficlog," %.12e",p[j]);
                   1783:       }
                   1784:       printf("\n");
                   1785:       fprintf(ficlog,"\n");
                   1786:       for(l=0;l<=1;l++) {
                   1787:        for (j=1;j<=n;j++) {
                   1788:          ptt[j]=p[j]+(p[j]-pt[j])*k[l];
                   1789:          printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1790:          fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
                   1791:        }
                   1792:        printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1793:        fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
                   1794:       }
                   1795: #endif
                   1796: 
                   1797: 
                   1798:       free_vector(xit,1,n); 
                   1799:       free_vector(xits,1,n); 
                   1800:       free_vector(ptt,1,n); 
                   1801:       free_vector(pt,1,n); 
                   1802:       return; 
1.192     brouard  1803:     } /* enough precision */ 
1.126     brouard  1804:     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
1.181     brouard  1805:     for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
1.126     brouard  1806:       ptt[j]=2.0*p[j]-pt[j]; 
                   1807:       xit[j]=p[j]-pt[j]; 
                   1808:       pt[j]=p[j]; 
                   1809:     } 
1.181     brouard  1810:     fptt=(*func)(ptt); /* f_3 */
1.192     brouard  1811: #ifdef POWELLF1F3
                   1812: #else
1.161     brouard  1813:     if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
1.192     brouard  1814: #endif
1.162     brouard  1815:       /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
1.161     brouard  1816:       /* From x1 (P0) distance of x2 is at h and x3 is 2h */
1.162     brouard  1817:       /* Let f"(x2) be the 2nd derivative equal everywhere.  */
                   1818:       /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
                   1819:       /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
1.181     brouard  1820:       /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
1.161     brouard  1821:       /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
1.183     brouard  1822: #ifdef NRCORIGINAL
                   1823:       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
                   1824: #else
                   1825:       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  1826:       t= t- del*SQR(fp-fptt);
1.183     brouard  1827: #endif
1.182     brouard  1828:       directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If del was big enough we change it for a new direction */
1.161     brouard  1829: #ifdef DEBUG
1.181     brouard  1830:       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);
                   1831:       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  1832:       printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1833:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1834:       fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
                   1835:             (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
                   1836:       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);
                   1837:       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);
                   1838: #endif
1.183     brouard  1839: #ifdef POWELLORIGINAL
                   1840:       if (t < 0.0) { /* Then we use it for new direction */
                   1841: #else
1.182     brouard  1842:       if (directest*t < 0.0) { /* Contradiction between both tests */
1.192     brouard  1843:        printf("directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
                   1844:         printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1845:         fprintf(ficlog,"directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
                   1846:         fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
                   1847:       } 
1.181     brouard  1848:       if (directest < 0.0) { /* Then we use it for new direction */
                   1849: #endif
1.191     brouard  1850: #ifdef DEBUGLINMIN
                   1851:        printf("Before linmin in direction P%d-P0\n",n);
                   1852:        for (j=1;j<=n;j++) { 
                   1853:          printf("Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1854:          if(j % ncovmodel == 0)
                   1855:            printf("\n");
                   1856:        }
                   1857: #endif
1.187     brouard  1858:        linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
1.191     brouard  1859: #ifdef DEBUGLINMIN
                   1860:        for (j=1;j<=n;j++) { 
                   1861:          printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
                   1862:          if(j % ncovmodel == 0)
                   1863:            printf("\n");
                   1864:        }
                   1865: #endif
1.126     brouard  1866:        for (j=1;j<=n;j++) { 
1.181     brouard  1867:          xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
                   1868:          xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
1.126     brouard  1869:        }
1.181     brouard  1870:        printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
                   1871:        fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
1.161     brouard  1872: 
1.126     brouard  1873: #ifdef DEBUG
1.164     brouard  1874:        printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
                   1875:        fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
1.126     brouard  1876:        for(j=1;j<=n;j++){
                   1877:          printf(" %.12e",xit[j]);
                   1878:          fprintf(ficlog," %.12e",xit[j]);
                   1879:        }
                   1880:        printf("\n");
                   1881:        fprintf(ficlog,"\n");
                   1882: #endif
1.192     brouard  1883:       } /* end of t or directest negative */
                   1884: #ifdef POWELLF1F3
                   1885: #else
1.162     brouard  1886:     } /* end if (fptt < fp)  */
1.192     brouard  1887: #endif
                   1888:   } /* loop iteration */ 
1.126     brouard  1889: } 
                   1890: 
                   1891: /**** Prevalence limit (stable or period prevalence)  ****************/
                   1892: 
                   1893: double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
                   1894: {
                   1895:   /* Computes the prevalence limit in each live state at age x by left multiplying the unit
                   1896:      matrix by transitions matrix until convergence is reached */
1.169     brouard  1897:   
1.126     brouard  1898:   int i, ii,j,k;
                   1899:   double min, max, maxmin, maxmax,sumnew=0.;
1.145     brouard  1900:   /* double **matprod2(); */ /* test */
1.131     brouard  1901:   double **out, cov[NCOVMAX+1], **pmij();
1.126     brouard  1902:   double **newm;
                   1903:   double agefin, delaymax=50 ; /* Max number of years to converge */
1.169     brouard  1904:   
1.126     brouard  1905:   for (ii=1;ii<=nlstate+ndeath;ii++)
                   1906:     for (j=1;j<=nlstate+ndeath;j++){
                   1907:       oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   1908:     }
1.169     brouard  1909:   
                   1910:   cov[1]=1.;
                   1911:   
                   1912:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
1.126     brouard  1913:   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
                   1914:     newm=savm;
                   1915:     /* Covariates have to be included here again */
1.138     brouard  1916:     cov[2]=agefin;
1.187     brouard  1917:     if(nagesqr==1)
                   1918:       cov[3]= agefin*agefin;;
1.138     brouard  1919:     for (k=1; k<=cptcovn;k++) {
1.200   ! brouard  1920:       /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
        !          1921:       cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
1.198     brouard  1922:       /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
1.138     brouard  1923:     }
1.186     brouard  1924:     /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200   ! brouard  1925:     /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
        !          1926:     for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
1.186     brouard  1927:     for (k=1; k<=cptcovprod;k++) /* Useless */
1.200   ! brouard  1928:       /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
        !          1929:       cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
1.138     brouard  1930:     
                   1931:     /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
                   1932:     /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
                   1933:     /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
1.145     brouard  1934:     /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
                   1935:     /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
1.142     brouard  1936:     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
1.138     brouard  1937:     
1.126     brouard  1938:     savm=oldm;
                   1939:     oldm=newm;
                   1940:     maxmax=0.;
                   1941:     for(j=1;j<=nlstate;j++){
                   1942:       min=1.;
                   1943:       max=0.;
                   1944:       for(i=1; i<=nlstate; i++) {
                   1945:        sumnew=0;
                   1946:        for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
                   1947:        prlim[i][j]= newm[i][j]/(1-sumnew);
1.145     brouard  1948:         /*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  1949:        max=FMAX(max,prlim[i][j]);
                   1950:        min=FMIN(min,prlim[i][j]);
                   1951:       }
                   1952:       maxmin=max-min;
                   1953:       maxmax=FMAX(maxmax,maxmin);
1.169     brouard  1954:     } /* j loop */
1.126     brouard  1955:     if(maxmax < ftolpl){
                   1956:       return prlim;
                   1957:     }
1.169     brouard  1958:   } /* age loop */
                   1959:   return prlim; /* should not reach here */
1.126     brouard  1960: }
                   1961: 
                   1962: /*************** transition probabilities ***************/ 
                   1963: 
                   1964: double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
                   1965: {
1.138     brouard  1966:   /* According to parameters values stored in x and the covariate's values stored in cov,
                   1967:      computes the probability to be observed in state j being in state i by appying the
                   1968:      model to the ncovmodel covariates (including constant and age).
                   1969:      lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
                   1970:      and, according on how parameters are entered, the position of the coefficient xij(nc) of the
                   1971:      ncth covariate in the global vector x is given by the formula:
                   1972:      j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
                   1973:      j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
                   1974:      Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
                   1975:      sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
                   1976:      Outputs ps[i][j] the probability to be observed in j being in j according to
                   1977:      the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
                   1978:   */
                   1979:   double s1, lnpijopii;
1.126     brouard  1980:   /*double t34;*/
1.164     brouard  1981:   int i,j, nc, ii, jj;
1.126     brouard  1982: 
                   1983:     for(i=1; i<= nlstate; i++){
                   1984:       for(j=1; j<i;j++){
1.138     brouard  1985:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1986:          /*lnpijopii += param[i][j][nc]*cov[nc];*/
                   1987:          lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
                   1988: /*      printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1989:        }
1.138     brouard  1990:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
                   1991: /*     printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
1.126     brouard  1992:       }
                   1993:       for(j=i+1; j<=nlstate+ndeath;j++){
1.138     brouard  1994:        for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
                   1995:          /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
                   1996:          lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
                   1997: /*       printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
1.126     brouard  1998:        }
1.138     brouard  1999:        ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
1.126     brouard  2000:       }
                   2001:     }
                   2002:     
                   2003:     for(i=1; i<= nlstate; i++){
                   2004:       s1=0;
1.131     brouard  2005:       for(j=1; j<i; j++){
1.138     brouard  2006:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2007:        /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2008:       }
                   2009:       for(j=i+1; j<=nlstate+ndeath; j++){
1.138     brouard  2010:        s1+=exp(ps[i][j]); /* In fact sums pij/pii */
1.131     brouard  2011:        /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
                   2012:       }
1.138     brouard  2013:       /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
1.126     brouard  2014:       ps[i][i]=1./(s1+1.);
1.138     brouard  2015:       /* Computing other pijs */
1.126     brouard  2016:       for(j=1; j<i; j++)
                   2017:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2018:       for(j=i+1; j<=nlstate+ndeath; j++)
                   2019:        ps[i][j]= exp(ps[i][j])*ps[i][i];
                   2020:       /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
                   2021:     } /* end i */
                   2022:     
                   2023:     for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
                   2024:       for(jj=1; jj<= nlstate+ndeath; jj++){
                   2025:        ps[ii][jj]=0;
                   2026:        ps[ii][ii]=1;
                   2027:       }
                   2028:     }
                   2029:     
1.145     brouard  2030:     
                   2031:     /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
                   2032:     /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
                   2033:     /*         printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
                   2034:     /*   } */
                   2035:     /*   printf("\n "); */
                   2036:     /* } */
                   2037:     /* printf("\n ");printf("%lf ",cov[2]);*/
                   2038:     /*
1.126     brouard  2039:       for(i=1; i<= npar; i++) printf("%f ",x[i]);
                   2040:       goto end;*/
                   2041:     return ps;
                   2042: }
                   2043: 
                   2044: /**************** Product of 2 matrices ******************/
                   2045: 
1.145     brouard  2046: double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
1.126     brouard  2047: {
                   2048:   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
                   2049:      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
                   2050:   /* in, b, out are matrice of pointers which should have been initialized 
                   2051:      before: only the contents of out is modified. The function returns
                   2052:      a pointer to pointers identical to out */
1.145     brouard  2053:   int i, j, k;
1.126     brouard  2054:   for(i=nrl; i<= nrh; i++)
1.145     brouard  2055:     for(k=ncolol; k<=ncoloh; k++){
                   2056:       out[i][k]=0.;
                   2057:       for(j=ncl; j<=nch; j++)
                   2058:        out[i][k] +=in[i][j]*b[j][k];
                   2059:     }
1.126     brouard  2060:   return out;
                   2061: }
                   2062: 
                   2063: 
                   2064: /************* Higher Matrix Product ***************/
                   2065: 
                   2066: double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
                   2067: {
                   2068:   /* Computes the transition matrix starting at age 'age' over 
                   2069:      'nhstepm*hstepm*stepm' months (i.e. until
                   2070:      age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
                   2071:      nhstepm*hstepm matrices. 
                   2072:      Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
                   2073:      (typically every 2 years instead of every month which is too big 
                   2074:      for the memory).
                   2075:      Model is determined by parameters x and covariates have to be 
                   2076:      included manually here. 
                   2077: 
                   2078:      */
                   2079: 
                   2080:   int i, j, d, h, k;
1.131     brouard  2081:   double **out, cov[NCOVMAX+1];
1.126     brouard  2082:   double **newm;
1.187     brouard  2083:   double agexact;
1.126     brouard  2084: 
                   2085:   /* Hstepm could be zero and should return the unit matrix */
                   2086:   for (i=1;i<=nlstate+ndeath;i++)
                   2087:     for (j=1;j<=nlstate+ndeath;j++){
                   2088:       oldm[i][j]=(i==j ? 1.0 : 0.0);
                   2089:       po[i][j][0]=(i==j ? 1.0 : 0.0);
                   2090:     }
                   2091:   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
                   2092:   for(h=1; h <=nhstepm; h++){
                   2093:     for(d=1; d <=hstepm; d++){
                   2094:       newm=savm;
                   2095:       /* Covariates have to be included here again */
                   2096:       cov[1]=1.;
1.187     brouard  2097:       agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
                   2098:       cov[2]=agexact;
                   2099:       if(nagesqr==1)
                   2100:        cov[3]= agexact*agexact;
1.131     brouard  2101:       for (k=1; k<=cptcovn;k++) 
1.200   ! brouard  2102:        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
        !          2103:        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.186     brouard  2104:       for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
                   2105:        /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200   ! brouard  2106:        cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
        !          2107:        /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
1.145     brouard  2108:       for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
1.200   ! brouard  2109:        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
        !          2110:        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
1.126     brouard  2111: 
                   2112: 
                   2113:       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
                   2114:       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
                   2115:       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                   2116:                   pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2117:       savm=oldm;
                   2118:       oldm=newm;
                   2119:     }
                   2120:     for(i=1; i<=nlstate+ndeath; i++)
                   2121:       for(j=1;j<=nlstate+ndeath;j++) {
                   2122:        po[i][j][h]=newm[i][j];
1.128     brouard  2123:        /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
1.126     brouard  2124:       }
1.128     brouard  2125:     /*printf("h=%d ",h);*/
1.126     brouard  2126:   } /* end h */
1.128     brouard  2127: /*     printf("\n H=%d \n",h); */
1.126     brouard  2128:   return po;
                   2129: }
                   2130: 
1.162     brouard  2131: #ifdef NLOPT
                   2132:   double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
                   2133:   double fret;
                   2134:   double *xt;
                   2135:   int j;
                   2136:   myfunc_data *d2 = (myfunc_data *) pd;
                   2137: /* xt = (p1-1); */
                   2138:   xt=vector(1,n); 
                   2139:   for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
                   2140: 
                   2141:   fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
                   2142:   /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
                   2143:   printf("Function = %.12lf ",fret);
                   2144:   for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   2145:   printf("\n");
                   2146:  free_vector(xt,1,n);
                   2147:   return fret;
                   2148: }
                   2149: #endif
1.126     brouard  2150: 
                   2151: /*************** log-likelihood *************/
                   2152: double func( double *x)
                   2153: {
                   2154:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2155:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2156:   double **out;
                   2157:   double sw; /* Sum of weights */
                   2158:   double lli; /* Individual log likelihood */
                   2159:   int s1, s2;
                   2160:   double bbh, survp;
                   2161:   long ipmx;
1.187     brouard  2162:   double agexact;
1.126     brouard  2163:   /*extern weight */
                   2164:   /* We are differentiating ll according to initial status */
                   2165:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2166:   /*for(i=1;i<imx;i++) 
                   2167:     printf(" %d\n",s[4][i]);
                   2168:   */
1.162     brouard  2169: 
                   2170:   ++countcallfunc;
                   2171: 
1.126     brouard  2172:   cov[1]=1.;
                   2173: 
                   2174:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2175: 
                   2176:   if(mle==1){
                   2177:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.138     brouard  2178:       /* Computes the values of the ncovmodel covariates of the model
                   2179:         depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                   2180:         Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                   2181:         to be observed in j being in i according to the model.
                   2182:        */
1.145     brouard  2183:       for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
1.187     brouard  2184:          cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.145     brouard  2185:       }
1.137     brouard  2186:       /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
1.138     brouard  2187:         is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
1.137     brouard  2188:         has been calculated etc */
1.126     brouard  2189:       for(mi=1; mi<= wav[i]-1; mi++){
                   2190:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2191:          for (j=1;j<=nlstate+ndeath;j++){
                   2192:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2193:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2194:          }
                   2195:        for(d=0; d<dh[mi][i]; d++){
                   2196:          newm=savm;
1.187     brouard  2197:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2198:          cov[2]=agexact;
                   2199:          if(nagesqr==1)
                   2200:            cov[3]= agexact*agexact;
1.126     brouard  2201:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2202:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
1.126     brouard  2203:          }
                   2204:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2205:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2206:          savm=oldm;
                   2207:          oldm=newm;
                   2208:        } /* end mult */
                   2209:       
                   2210:        /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   2211:        /* But now since version 0.9 we anticipate for bias at large stepm.
                   2212:         * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   2213:         * (in months) between two waves is not a multiple of stepm, we rounded to 
                   2214:         * the nearest (and in case of equal distance, to the lowest) interval but now
                   2215:         * we keep into memory the bias bh[mi][i] and also the previous matrix product
                   2216:         * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
                   2217:         * probability in order to take into account the bias as a fraction of the way
                   2218:         * from savm to out if bh is negative or even beyond if bh is positive. bh varies
                   2219:         * -stepm/2 to stepm/2 .
                   2220:         * For stepm=1 the results are the same as for previous versions of Imach.
                   2221:         * For stepm > 1 the results are less biased than in previous versions. 
                   2222:         */
                   2223:        s1=s[mw[mi][i]][i];
                   2224:        s2=s[mw[mi+1][i]][i];
                   2225:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2226:        /* bias bh is positive if real duration
                   2227:         * is higher than the multiple of stepm and negative otherwise.
                   2228:         */
                   2229:        /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
                   2230:        if( s2 > nlstate){ 
                   2231:          /* i.e. if s2 is a death state and if the date of death is known 
                   2232:             then the contribution to the likelihood is the probability to 
                   2233:             die between last step unit time and current  step unit time, 
                   2234:             which is also equal to probability to die before dh 
                   2235:             minus probability to die before dh-stepm . 
                   2236:             In version up to 0.92 likelihood was computed
                   2237:        as if date of death was unknown. Death was treated as any other
                   2238:        health state: the date of the interview describes the actual state
                   2239:        and not the date of a change in health state. The former idea was
                   2240:        to consider that at each interview the state was recorded
                   2241:        (healthy, disable or death) and IMaCh was corrected; but when we
                   2242:        introduced the exact date of death then we should have modified
                   2243:        the contribution of an exact death to the likelihood. This new
                   2244:        contribution is smaller and very dependent of the step unit
                   2245:        stepm. It is no more the probability to die between last interview
                   2246:        and month of death but the probability to survive from last
                   2247:        interview up to one month before death multiplied by the
                   2248:        probability to die within a month. Thanks to Chris
                   2249:        Jackson for correcting this bug.  Former versions increased
                   2250:        mortality artificially. The bad side is that we add another loop
                   2251:        which slows down the processing. The difference can be up to 10%
                   2252:        lower mortality.
                   2253:          */
1.183     brouard  2254:        /* If, at the beginning of the maximization mostly, the
                   2255:           cumulative probability or probability to be dead is
                   2256:           constant (ie = 1) over time d, the difference is equal to
                   2257:           0.  out[s1][3] = savm[s1][3]: probability, being at state
                   2258:           s1 at precedent wave, to be dead a month before current
                   2259:           wave is equal to probability, being at state s1 at
                   2260:           precedent wave, to be dead at mont of the current
                   2261:           wave. Then the observed probability (that this person died)
                   2262:           is null according to current estimated parameter. In fact,
                   2263:           it should be very low but not zero otherwise the log go to
                   2264:           infinity.
                   2265:        */
                   2266: /* #ifdef INFINITYORIGINAL */
                   2267: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2268: /* #else */
                   2269: /*       if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
                   2270: /*         lli=log(mytinydouble); */
                   2271: /*       else */
                   2272: /*         lli=log(out[s1][s2] - savm[s1][s2]); */
                   2273: /* #endif */
                   2274:            lli=log(out[s1][s2] - savm[s1][s2]);
1.126     brouard  2275: 
                   2276:        } else if  (s2==-2) {
                   2277:          for (j=1,survp=0. ; j<=nlstate; j++) 
                   2278:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2279:          /*survp += out[s1][j]; */
                   2280:          lli= log(survp);
                   2281:        }
                   2282:        
                   2283:        else if  (s2==-4) { 
                   2284:          for (j=3,survp=0. ; j<=nlstate; j++)  
                   2285:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2286:          lli= log(survp); 
                   2287:        } 
                   2288: 
                   2289:        else if  (s2==-5) { 
                   2290:          for (j=1,survp=0. ; j<=2; j++)  
                   2291:            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2292:          lli= log(survp); 
                   2293:        } 
                   2294:        
                   2295:        else{
                   2296:          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2297:          /*  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 */
                   2298:        } 
                   2299:        /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
                   2300:        /*if(lli ==000.0)*/
                   2301:        /*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); */
                   2302:        ipmx +=1;
                   2303:        sw += weight[i];
                   2304:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.183     brouard  2305:        /* if (lli < log(mytinydouble)){ */
                   2306:        /*   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); */
                   2307:        /*   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]); */
                   2308:        /* } */
1.126     brouard  2309:       } /* end of wave */
                   2310:     } /* end of individual */
                   2311:   }  else if(mle==2){
                   2312:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2313:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2314:       for(mi=1; mi<= wav[i]-1; mi++){
                   2315:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2316:          for (j=1;j<=nlstate+ndeath;j++){
                   2317:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2318:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2319:          }
                   2320:        for(d=0; d<=dh[mi][i]; d++){
                   2321:          newm=savm;
1.187     brouard  2322:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2323:          cov[2]=agexact;
                   2324:          if(nagesqr==1)
                   2325:            cov[3]= agexact*agexact;
1.126     brouard  2326:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2327:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2328:          }
                   2329:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2330:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2331:          savm=oldm;
                   2332:          oldm=newm;
                   2333:        } /* end mult */
                   2334:       
                   2335:        s1=s[mw[mi][i]][i];
                   2336:        s2=s[mw[mi+1][i]][i];
                   2337:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2338:        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 */
                   2339:        ipmx +=1;
                   2340:        sw += weight[i];
                   2341:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2342:       } /* end of wave */
                   2343:     } /* end of individual */
                   2344:   }  else if(mle==3){  /* exponential inter-extrapolation */
                   2345:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2346:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2347:       for(mi=1; mi<= wav[i]-1; mi++){
                   2348:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2349:          for (j=1;j<=nlstate+ndeath;j++){
                   2350:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2351:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2352:          }
                   2353:        for(d=0; d<dh[mi][i]; d++){
                   2354:          newm=savm;
1.187     brouard  2355:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2356:          cov[2]=agexact;
                   2357:          if(nagesqr==1)
                   2358:            cov[3]= agexact*agexact;
1.126     brouard  2359:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2360:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2361:          }
                   2362:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2363:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2364:          savm=oldm;
                   2365:          oldm=newm;
                   2366:        } /* end mult */
                   2367:       
                   2368:        s1=s[mw[mi][i]][i];
                   2369:        s2=s[mw[mi+1][i]][i];
                   2370:        bbh=(double)bh[mi][i]/(double)stepm; 
                   2371:        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 */
                   2372:        ipmx +=1;
                   2373:        sw += weight[i];
                   2374:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2375:       } /* end of wave */
                   2376:     } /* end of individual */
                   2377:   }else if (mle==4){  /* ml=4 no inter-extrapolation */
                   2378:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2379:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2380:       for(mi=1; mi<= wav[i]-1; mi++){
                   2381:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2382:          for (j=1;j<=nlstate+ndeath;j++){
                   2383:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2384:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2385:          }
                   2386:        for(d=0; d<dh[mi][i]; d++){
                   2387:          newm=savm;
1.187     brouard  2388:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2389:          cov[2]=agexact;
                   2390:          if(nagesqr==1)
                   2391:            cov[3]= agexact*agexact;
1.126     brouard  2392:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2393:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2394:          }
                   2395:        
                   2396:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2397:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2398:          savm=oldm;
                   2399:          oldm=newm;
                   2400:        } /* end mult */
                   2401:       
                   2402:        s1=s[mw[mi][i]][i];
                   2403:        s2=s[mw[mi+1][i]][i];
                   2404:        if( s2 > nlstate){ 
                   2405:          lli=log(out[s1][s2] - savm[s1][s2]);
                   2406:        }else{
                   2407:          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2408:        }
                   2409:        ipmx +=1;
                   2410:        sw += weight[i];
                   2411:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2412: /*     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]); */
                   2413:       } /* end of wave */
                   2414:     } /* end of individual */
                   2415:   }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
                   2416:     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2417:       for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2418:       for(mi=1; mi<= wav[i]-1; mi++){
                   2419:        for (ii=1;ii<=nlstate+ndeath;ii++)
                   2420:          for (j=1;j<=nlstate+ndeath;j++){
                   2421:            oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2422:            savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2423:          }
                   2424:        for(d=0; d<dh[mi][i]; d++){
                   2425:          newm=savm;
1.187     brouard  2426:          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2427:          cov[2]=agexact;
                   2428:          if(nagesqr==1)
                   2429:            cov[3]= agexact*agexact;
1.126     brouard  2430:          for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2431:            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2432:          }
                   2433:        
                   2434:          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2435:                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                   2436:          savm=oldm;
                   2437:          oldm=newm;
                   2438:        } /* end mult */
                   2439:       
                   2440:        s1=s[mw[mi][i]][i];
                   2441:        s2=s[mw[mi+1][i]][i];
                   2442:        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                   2443:        ipmx +=1;
                   2444:        sw += weight[i];
                   2445:        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                   2446:        /*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]);*/
                   2447:       } /* end of wave */
                   2448:     } /* end of individual */
                   2449:   } /* End of if */
                   2450:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2451:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2452:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2453:   return -l;
                   2454: }
                   2455: 
                   2456: /*************** log-likelihood *************/
                   2457: double funcone( double *x)
                   2458: {
                   2459:   /* Same as likeli but slower because of a lot of printf and if */
                   2460:   int i, ii, j, k, mi, d, kk;
1.131     brouard  2461:   double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
1.126     brouard  2462:   double **out;
                   2463:   double lli; /* Individual log likelihood */
                   2464:   double llt;
                   2465:   int s1, s2;
                   2466:   double bbh, survp;
1.187     brouard  2467:   double agexact;
1.126     brouard  2468:   /*extern weight */
                   2469:   /* We are differentiating ll according to initial status */
                   2470:   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                   2471:   /*for(i=1;i<imx;i++) 
                   2472:     printf(" %d\n",s[4][i]);
                   2473:   */
                   2474:   cov[1]=1.;
                   2475: 
                   2476:   for(k=1; k<=nlstate; k++) ll[k]=0.;
                   2477: 
                   2478:   for (i=1,ipmx=0, sw=0.; i<=imx; i++){
1.187     brouard  2479:     for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
1.126     brouard  2480:     for(mi=1; mi<= wav[i]-1; mi++){
                   2481:       for (ii=1;ii<=nlstate+ndeath;ii++)
                   2482:        for (j=1;j<=nlstate+ndeath;j++){
                   2483:          oldm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2484:          savm[ii][j]=(ii==j ? 1.0 : 0.0);
                   2485:        }
                   2486:       for(d=0; d<dh[mi][i]; d++){
                   2487:        newm=savm;
1.187     brouard  2488:        agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
                   2489:        cov[2]=agexact;
                   2490:        if(nagesqr==1)
                   2491:          cov[3]= agexact*agexact;
1.126     brouard  2492:        for (kk=1; kk<=cptcovage;kk++) {
1.187     brouard  2493:          cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
1.126     brouard  2494:        }
1.187     brouard  2495: 
1.145     brouard  2496:        /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
1.126     brouard  2497:        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                   2498:                     1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
1.145     brouard  2499:        /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
                   2500:        /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
1.126     brouard  2501:        savm=oldm;
                   2502:        oldm=newm;
                   2503:       } /* end mult */
                   2504:       
                   2505:       s1=s[mw[mi][i]][i];
                   2506:       s2=s[mw[mi+1][i]][i];
                   2507:       bbh=(double)bh[mi][i]/(double)stepm; 
                   2508:       /* bias is positive if real duration
                   2509:        * is higher than the multiple of stepm and negative otherwise.
                   2510:        */
                   2511:       if( s2 > nlstate && (mle <5) ){  /* Jackson */
                   2512:        lli=log(out[s1][s2] - savm[s1][s2]);
                   2513:       } else if  (s2==-2) {
                   2514:        for (j=1,survp=0. ; j<=nlstate; j++) 
                   2515:          survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
                   2516:        lli= log(survp);
                   2517:       }else if (mle==1){
                   2518:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2519:       } else if(mle==2){
                   2520:        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 */
                   2521:       } else if(mle==3){  /* exponential inter-extrapolation */
                   2522:        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 */
                   2523:       } else if (mle==4){  /* mle=4 no inter-extrapolation */
                   2524:        lli=log(out[s1][s2]); /* Original formula */
1.136     brouard  2525:       } else{  /* mle=0 back to 1 */
                   2526:        lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
                   2527:        /*lli=log(out[s1][s2]); */ /* Original formula */
1.126     brouard  2528:       } /* End of if */
                   2529:       ipmx +=1;
                   2530:       sw += weight[i];
                   2531:       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
1.132     brouard  2532:       /*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  2533:       if(globpr){
1.141     brouard  2534:        fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
1.126     brouard  2535:  %11.6f %11.6f %11.6f ", \
                   2536:                num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
                   2537:                2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
                   2538:        for(k=1,llt=0.,l=0.; k<=nlstate; k++){
                   2539:          llt +=ll[k]*gipmx/gsw;
                   2540:          fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
                   2541:        }
                   2542:        fprintf(ficresilk," %10.6f\n", -llt);
                   2543:       }
                   2544:     } /* end of wave */
                   2545:   } /* end of individual */
                   2546:   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                   2547:   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                   2548:   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                   2549:   if(globpr==0){ /* First time we count the contributions and weights */
                   2550:     gipmx=ipmx;
                   2551:     gsw=sw;
                   2552:   }
                   2553:   return -l;
                   2554: }
                   2555: 
                   2556: 
                   2557: /*************** function likelione ***********/
                   2558: void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
                   2559: {
                   2560:   /* This routine should help understanding what is done with 
                   2561:      the selection of individuals/waves and
                   2562:      to check the exact contribution to the likelihood.
                   2563:      Plotting could be done.
                   2564:    */
                   2565:   int k;
                   2566: 
                   2567:   if(*globpri !=0){ /* Just counts and sums, no printings */
                   2568:     strcpy(fileresilk,"ilk"); 
                   2569:     strcat(fileresilk,fileres);
                   2570:     if((ficresilk=fopen(fileresilk,"w"))==NULL) {
                   2571:       printf("Problem with resultfile: %s\n", fileresilk);
                   2572:       fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
                   2573:     }
                   2574:     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");
                   2575:     fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
                   2576:     /*         i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                   2577:     for(k=1; k<=nlstate; k++) 
                   2578:       fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                   2579:     fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   2580:   }
                   2581: 
                   2582:   *fretone=(*funcone)(p);
                   2583:   if(*globpri !=0){
                   2584:     fclose(ficresilk);
                   2585:     fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
                   2586:     fflush(fichtm); 
                   2587:   } 
                   2588:   return;
                   2589: }
                   2590: 
                   2591: 
                   2592: /*********** Maximum Likelihood Estimation ***************/
                   2593: 
                   2594: void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
                   2595: {
1.165     brouard  2596:   int i,j, iter=0;
1.126     brouard  2597:   double **xi;
                   2598:   double fret;
                   2599:   double fretone; /* Only one call to likelihood */
                   2600:   /*  char filerespow[FILENAMELENGTH];*/
1.162     brouard  2601: 
                   2602: #ifdef NLOPT
                   2603:   int creturn;
                   2604:   nlopt_opt opt;
                   2605:   /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
                   2606:   double *lb;
                   2607:   double minf; /* the minimum objective value, upon return */
                   2608:   double * p1; /* Shifted parameters from 0 instead of 1 */
                   2609:   myfunc_data dinst, *d = &dinst;
                   2610: #endif
                   2611: 
                   2612: 
1.126     brouard  2613:   xi=matrix(1,npar,1,npar);
                   2614:   for (i=1;i<=npar;i++)
                   2615:     for (j=1;j<=npar;j++)
                   2616:       xi[i][j]=(i==j ? 1.0 : 0.0);
                   2617:   printf("Powell\n");  fprintf(ficlog,"Powell\n");
                   2618:   strcpy(filerespow,"pow"); 
                   2619:   strcat(filerespow,fileres);
                   2620:   if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   2621:     printf("Problem with resultfile: %s\n", filerespow);
                   2622:     fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   2623:   }
                   2624:   fprintf(ficrespow,"# Powell\n# iter -2*LL");
                   2625:   for (i=1;i<=nlstate;i++)
                   2626:     for(j=1;j<=nlstate+ndeath;j++)
                   2627:       if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   2628:   fprintf(ficrespow,"\n");
1.162     brouard  2629: #ifdef POWELL
1.126     brouard  2630:   powell(p,xi,npar,ftol,&iter,&fret,func);
1.162     brouard  2631: #endif
1.126     brouard  2632: 
1.162     brouard  2633: #ifdef NLOPT
                   2634: #ifdef NEWUOA
                   2635:   opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
                   2636: #else
                   2637:   opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
                   2638: #endif
                   2639:   lb=vector(0,npar-1);
                   2640:   for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
                   2641:   nlopt_set_lower_bounds(opt, lb);
                   2642:   nlopt_set_initial_step1(opt, 0.1);
                   2643:   
                   2644:   p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
                   2645:   d->function = func;
                   2646:   printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
                   2647:   nlopt_set_min_objective(opt, myfunc, d);
                   2648:   nlopt_set_xtol_rel(opt, ftol);
                   2649:   if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
                   2650:     printf("nlopt failed! %d\n",creturn); 
                   2651:   }
                   2652:   else {
                   2653:     printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
                   2654:     printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
                   2655:     iter=1; /* not equal */
                   2656:   }
                   2657:   nlopt_destroy(opt);
                   2658: #endif
1.126     brouard  2659:   free_matrix(xi,1,npar,1,npar);
                   2660:   fclose(ficrespow);
1.180     brouard  2661:   printf("#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2662:   fprintf(ficlog,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
                   2663:   fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
1.126     brouard  2664: 
                   2665: }
                   2666: 
                   2667: /**** Computes Hessian and covariance matrix ***/
                   2668: void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
                   2669: {
                   2670:   double  **a,**y,*x,pd;
                   2671:   double **hess;
1.164     brouard  2672:   int i, j;
1.126     brouard  2673:   int *indx;
                   2674: 
                   2675:   double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
                   2676:   double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
                   2677:   void lubksb(double **a, int npar, int *indx, double b[]) ;
                   2678:   void ludcmp(double **a, int npar, int *indx, double *d) ;
                   2679:   double gompertz(double p[]);
                   2680:   hess=matrix(1,npar,1,npar);
                   2681: 
                   2682:   printf("\nCalculation of the hessian matrix. Wait...\n");
                   2683:   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
                   2684:   for (i=1;i<=npar;i++){
                   2685:     printf("%d",i);fflush(stdout);
                   2686:     fprintf(ficlog,"%d",i);fflush(ficlog);
                   2687:    
                   2688:      hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                   2689:     
                   2690:     /*  printf(" %f ",p[i]);
                   2691:        printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                   2692:   }
                   2693:   
                   2694:   for (i=1;i<=npar;i++) {
                   2695:     for (j=1;j<=npar;j++)  {
                   2696:       if (j>i) { 
                   2697:        printf(".%d%d",i,j);fflush(stdout);
                   2698:        fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
                   2699:        hess[i][j]=hessij(p,delti,i,j,func,npar);
                   2700:        
                   2701:        hess[j][i]=hess[i][j];    
                   2702:        /*printf(" %lf ",hess[i][j]);*/
                   2703:       }
                   2704:     }
                   2705:   }
                   2706:   printf("\n");
                   2707:   fprintf(ficlog,"\n");
                   2708: 
                   2709:   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2710:   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
                   2711:   
                   2712:   a=matrix(1,npar,1,npar);
                   2713:   y=matrix(1,npar,1,npar);
                   2714:   x=vector(1,npar);
                   2715:   indx=ivector(1,npar);
                   2716:   for (i=1;i<=npar;i++)
                   2717:     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
                   2718:   ludcmp(a,npar,indx,&pd);
                   2719: 
                   2720:   for (j=1;j<=npar;j++) {
                   2721:     for (i=1;i<=npar;i++) x[i]=0;
                   2722:     x[j]=1;
                   2723:     lubksb(a,npar,indx,x);
                   2724:     for (i=1;i<=npar;i++){ 
                   2725:       matcov[i][j]=x[i];
                   2726:     }
                   2727:   }
                   2728: 
                   2729:   printf("\n#Hessian matrix#\n");
                   2730:   fprintf(ficlog,"\n#Hessian matrix#\n");
                   2731:   for (i=1;i<=npar;i++) { 
                   2732:     for (j=1;j<=npar;j++) { 
                   2733:       printf("%.3e ",hess[i][j]);
                   2734:       fprintf(ficlog,"%.3e ",hess[i][j]);
                   2735:     }
                   2736:     printf("\n");
                   2737:     fprintf(ficlog,"\n");
                   2738:   }
                   2739: 
                   2740:   /* Recompute Inverse */
                   2741:   for (i=1;i<=npar;i++)
                   2742:     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
                   2743:   ludcmp(a,npar,indx,&pd);
                   2744: 
                   2745:   /*  printf("\n#Hessian matrix recomputed#\n");
                   2746: 
                   2747:   for (j=1;j<=npar;j++) {
                   2748:     for (i=1;i<=npar;i++) x[i]=0;
                   2749:     x[j]=1;
                   2750:     lubksb(a,npar,indx,x);
                   2751:     for (i=1;i<=npar;i++){ 
                   2752:       y[i][j]=x[i];
                   2753:       printf("%.3e ",y[i][j]);
                   2754:       fprintf(ficlog,"%.3e ",y[i][j]);
                   2755:     }
                   2756:     printf("\n");
                   2757:     fprintf(ficlog,"\n");
                   2758:   }
                   2759:   */
                   2760: 
                   2761:   free_matrix(a,1,npar,1,npar);
                   2762:   free_matrix(y,1,npar,1,npar);
                   2763:   free_vector(x,1,npar);
                   2764:   free_ivector(indx,1,npar);
                   2765:   free_matrix(hess,1,npar,1,npar);
                   2766: 
                   2767: 
                   2768: }
                   2769: 
                   2770: /*************** hessian matrix ****************/
                   2771: double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
                   2772: {
                   2773:   int i;
                   2774:   int l=1, lmax=20;
                   2775:   double k1,k2;
1.132     brouard  2776:   double p2[MAXPARM+1]; /* identical to x */
1.126     brouard  2777:   double res;
                   2778:   double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
                   2779:   double fx;
                   2780:   int k=0,kmax=10;
                   2781:   double l1;
                   2782: 
                   2783:   fx=func(x);
                   2784:   for (i=1;i<=npar;i++) p2[i]=x[i];
1.145     brouard  2785:   for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
1.126     brouard  2786:     l1=pow(10,l);
                   2787:     delts=delt;
                   2788:     for(k=1 ; k <kmax; k=k+1){
                   2789:       delt = delta*(l1*k);
                   2790:       p2[theta]=x[theta] +delt;
1.145     brouard  2791:       k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
1.126     brouard  2792:       p2[theta]=x[theta]-delt;
                   2793:       k2=func(p2)-fx;
                   2794:       /*res= (k1-2.0*fx+k2)/delt/delt; */
                   2795:       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
                   2796:       
1.132     brouard  2797: #ifdef DEBUGHESS
1.126     brouard  2798:       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);
                   2799:       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);
                   2800: #endif
                   2801:       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
                   2802:       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
                   2803:        k=kmax;
                   2804:       }
                   2805:       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
1.164     brouard  2806:        k=kmax; l=lmax*10;
1.126     brouard  2807:       }
                   2808:       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
                   2809:        delts=delt;
                   2810:       }
                   2811:     }
                   2812:   }
                   2813:   delti[theta]=delts;
                   2814:   return res; 
                   2815:   
                   2816: }
                   2817: 
                   2818: double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
                   2819: {
                   2820:   int i;
1.164     brouard  2821:   int l=1, lmax=20;
1.126     brouard  2822:   double k1,k2,k3,k4,res,fx;
1.132     brouard  2823:   double p2[MAXPARM+1];
1.126     brouard  2824:   int k;
                   2825: 
                   2826:   fx=func(x);
                   2827:   for (k=1; k<=2; k++) {
                   2828:     for (i=1;i<=npar;i++) p2[i]=x[i];
                   2829:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2830:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2831:     k1=func(p2)-fx;
                   2832:   
                   2833:     p2[thetai]=x[thetai]+delti[thetai]/k;
                   2834:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2835:     k2=func(p2)-fx;
                   2836:   
                   2837:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2838:     p2[thetaj]=x[thetaj]+delti[thetaj]/k;
                   2839:     k3=func(p2)-fx;
                   2840:   
                   2841:     p2[thetai]=x[thetai]-delti[thetai]/k;
                   2842:     p2[thetaj]=x[thetaj]-delti[thetaj]/k;
                   2843:     k4=func(p2)-fx;
                   2844:     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
                   2845: #ifdef DEBUG
                   2846:     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);
                   2847:     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);
                   2848: #endif
                   2849:   }
                   2850:   return res;
                   2851: }
                   2852: 
                   2853: /************** Inverse of matrix **************/
                   2854: void ludcmp(double **a, int n, int *indx, double *d) 
                   2855: { 
                   2856:   int i,imax,j,k; 
                   2857:   double big,dum,sum,temp; 
                   2858:   double *vv; 
                   2859:  
                   2860:   vv=vector(1,n); 
                   2861:   *d=1.0; 
                   2862:   for (i=1;i<=n;i++) { 
                   2863:     big=0.0; 
                   2864:     for (j=1;j<=n;j++) 
                   2865:       if ((temp=fabs(a[i][j])) > big) big=temp; 
                   2866:     if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
                   2867:     vv[i]=1.0/big; 
                   2868:   } 
                   2869:   for (j=1;j<=n;j++) { 
                   2870:     for (i=1;i<j;i++) { 
                   2871:       sum=a[i][j]; 
                   2872:       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
                   2873:       a[i][j]=sum; 
                   2874:     } 
                   2875:     big=0.0; 
                   2876:     for (i=j;i<=n;i++) { 
                   2877:       sum=a[i][j]; 
                   2878:       for (k=1;k<j;k++) 
                   2879:        sum -= a[i][k]*a[k][j]; 
                   2880:       a[i][j]=sum; 
                   2881:       if ( (dum=vv[i]*fabs(sum)) >= big) { 
                   2882:        big=dum; 
                   2883:        imax=i; 
                   2884:       } 
                   2885:     } 
                   2886:     if (j != imax) { 
                   2887:       for (k=1;k<=n;k++) { 
                   2888:        dum=a[imax][k]; 
                   2889:        a[imax][k]=a[j][k]; 
                   2890:        a[j][k]=dum; 
                   2891:       } 
                   2892:       *d = -(*d); 
                   2893:       vv[imax]=vv[j]; 
                   2894:     } 
                   2895:     indx[j]=imax; 
                   2896:     if (a[j][j] == 0.0) a[j][j]=TINY; 
                   2897:     if (j != n) { 
                   2898:       dum=1.0/(a[j][j]); 
                   2899:       for (i=j+1;i<=n;i++) a[i][j] *= dum; 
                   2900:     } 
                   2901:   } 
                   2902:   free_vector(vv,1,n);  /* Doesn't work */
                   2903: ;
                   2904: } 
                   2905: 
                   2906: void lubksb(double **a, int n, int *indx, double b[]) 
                   2907: { 
                   2908:   int i,ii=0,ip,j; 
                   2909:   double sum; 
                   2910:  
                   2911:   for (i=1;i<=n;i++) { 
                   2912:     ip=indx[i]; 
                   2913:     sum=b[ip]; 
                   2914:     b[ip]=b[i]; 
                   2915:     if (ii) 
                   2916:       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
                   2917:     else if (sum) ii=i; 
                   2918:     b[i]=sum; 
                   2919:   } 
                   2920:   for (i=n;i>=1;i--) { 
                   2921:     sum=b[i]; 
                   2922:     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
                   2923:     b[i]=sum/a[i][i]; 
                   2924:   } 
                   2925: } 
                   2926: 
                   2927: void pstamp(FILE *fichier)
                   2928: {
1.196     brouard  2929:   fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
1.126     brouard  2930: }
                   2931: 
                   2932: /************ Frequencies ********************/
                   2933: 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[])
                   2934: {  /* Some frequencies */
                   2935:   
1.164     brouard  2936:   int i, m, jk, j1, bool, z1,j;
1.126     brouard  2937:   int first;
                   2938:   double ***freq; /* Frequencies */
                   2939:   double *pp, **prop;
                   2940:   double pos,posprop, k2, dateintsum=0,k2cpt=0;
                   2941:   char fileresp[FILENAMELENGTH];
                   2942:   
                   2943:   pp=vector(1,nlstate);
                   2944:   prop=matrix(1,nlstate,iagemin,iagemax+3);
                   2945:   strcpy(fileresp,"p");
                   2946:   strcat(fileresp,fileres);
                   2947:   if((ficresp=fopen(fileresp,"w"))==NULL) {
                   2948:     printf("Problem with prevalence resultfile: %s\n", fileresp);
                   2949:     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
                   2950:     exit(0);
                   2951:   }
                   2952:   freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
                   2953:   j1=0;
                   2954:   
                   2955:   j=cptcoveff;
                   2956:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   2957: 
                   2958:   first=1;
                   2959: 
1.169     brouard  2960:   /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
                   2961:   /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
                   2962:   /*    j1++; */
1.145     brouard  2963:   for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
1.126     brouard  2964:       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
                   2965:        scanf("%d", i);*/
                   2966:       for (i=-5; i<=nlstate+ndeath; i++)  
                   2967:        for (jk=-5; jk<=nlstate+ndeath; jk++)  
                   2968:          for(m=iagemin; m <= iagemax+3; m++)
                   2969:            freq[i][jk][m]=0;
1.143     brouard  2970:       
                   2971:       for (i=1; i<=nlstate; i++)  
                   2972:        for(m=iagemin; m <= iagemax+3; m++)
                   2973:          prop[i][m]=0;
1.126     brouard  2974:       
                   2975:       dateintsum=0;
                   2976:       k2cpt=0;
                   2977:       for (i=1; i<=imx; i++) {
                   2978:        bool=1;
1.144     brouard  2979:        if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
                   2980:          for (z1=1; z1<=cptcoveff; z1++)       
1.198     brouard  2981:             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
1.145     brouard  2982:                 /* Tests if the value of each of the covariates of i is equal to filter j1 */
1.144     brouard  2983:               bool=0;
1.198     brouard  2984:               /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", 
                   2985:                 bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
                   2986:                 j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
                   2987:               /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
1.144     brouard  2988:             } 
1.126     brouard  2989:        }
1.144     brouard  2990:  
1.126     brouard  2991:        if (bool==1){
                   2992:          for(m=firstpass; m<=lastpass; m++){
                   2993:            k2=anint[m][i]+(mint[m][i]/12.);
                   2994:            /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
                   2995:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   2996:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   2997:              if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   2998:              if (m<lastpass) {
                   2999:                freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   3000:                freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
                   3001:              }
                   3002:              
                   3003:              if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
                   3004:                dateintsum=dateintsum+k2;
                   3005:                k2cpt++;
                   3006:              }
                   3007:              /*}*/
                   3008:          }
                   3009:        }
1.145     brouard  3010:       } /* end i */
1.126     brouard  3011:        
                   3012:       /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
                   3013:       pstamp(ficresp);
                   3014:       if  (cptcovn>0) {
                   3015:        fprintf(ficresp, "\n#********** Variable "); 
1.198     brouard  3016:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  3017:        fprintf(ficresp, "**********\n#");
1.143     brouard  3018:        fprintf(ficlog, "\n#********** Variable "); 
1.198     brouard  3019:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.143     brouard  3020:        fprintf(ficlog, "**********\n#");
1.126     brouard  3021:       }
                   3022:       for(i=1; i<=nlstate;i++) 
                   3023:        fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
                   3024:       fprintf(ficresp, "\n");
                   3025:       
                   3026:       for(i=iagemin; i <= iagemax+3; i++){
                   3027:        if(i==iagemax+3){
                   3028:          fprintf(ficlog,"Total");
                   3029:        }else{
                   3030:          if(first==1){
                   3031:            first=0;
                   3032:            printf("See log file for details...\n");
                   3033:          }
                   3034:          fprintf(ficlog,"Age %d", i);
                   3035:        }
                   3036:        for(jk=1; jk <=nlstate ; jk++){
                   3037:          for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
                   3038:            pp[jk] += freq[jk][m][i]; 
                   3039:        }
                   3040:        for(jk=1; jk <=nlstate ; jk++){
                   3041:          for(m=-1, pos=0; m <=0 ; m++)
                   3042:            pos += freq[jk][m][i];
                   3043:          if(pp[jk]>=1.e-10){
                   3044:            if(first==1){
1.132     brouard  3045:              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
1.126     brouard  3046:            }
                   3047:            fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                   3048:          }else{
                   3049:            if(first==1)
                   3050:              printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3051:            fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
                   3052:          }
                   3053:        }
                   3054: 
                   3055:        for(jk=1; jk <=nlstate ; jk++){
                   3056:          for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
                   3057:            pp[jk] += freq[jk][m][i];
                   3058:        }       
                   3059:        for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
                   3060:          pos += pp[jk];
                   3061:          posprop += prop[jk][i];
                   3062:        }
                   3063:        for(jk=1; jk <=nlstate ; jk++){
                   3064:          if(pos>=1.e-5){
                   3065:            if(first==1)
                   3066:              printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3067:            fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
                   3068:          }else{
                   3069:            if(first==1)
                   3070:              printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3071:            fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                   3072:          }
                   3073:          if( i <= iagemax){
                   3074:            if(pos>=1.e-5){
                   3075:              fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
                   3076:              /*probs[i][jk][j1]= pp[jk]/pos;*/
                   3077:              /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
                   3078:            }
                   3079:            else
                   3080:              fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
                   3081:          }
                   3082:        }
                   3083:        
                   3084:        for(jk=-1; jk <=nlstate+ndeath; jk++)
                   3085:          for(m=-1; m <=nlstate+ndeath; m++)
                   3086:            if(freq[jk][m][i] !=0 ) {
                   3087:            if(first==1)
                   3088:              printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3089:              fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                   3090:            }
                   3091:        if(i <= iagemax)
                   3092:          fprintf(ficresp,"\n");
                   3093:        if(first==1)
                   3094:          printf("Others in log...\n");
                   3095:        fprintf(ficlog,"\n");
                   3096:       }
1.145     brouard  3097:       /*}*/
1.126     brouard  3098:   }
                   3099:   dateintmean=dateintsum/k2cpt; 
                   3100:  
                   3101:   fclose(ficresp);
                   3102:   free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
                   3103:   free_vector(pp,1,nlstate);
                   3104:   free_matrix(prop,1,nlstate,iagemin, iagemax+3);
                   3105:   /* End of Freq */
                   3106: }
                   3107: 
                   3108: /************ Prevalence ********************/
                   3109: 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)
                   3110: {  
                   3111:   /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
                   3112:      in each health status at the date of interview (if between dateprev1 and dateprev2).
                   3113:      We still use firstpass and lastpass as another selection.
                   3114:   */
                   3115:  
1.164     brouard  3116:   int i, m, jk, j1, bool, z1,j;
                   3117: 
                   3118:   double **prop;
                   3119:   double posprop; 
1.126     brouard  3120:   double  y2; /* in fractional years */
                   3121:   int iagemin, iagemax;
1.145     brouard  3122:   int first; /** to stop verbosity which is redirected to log file */
1.126     brouard  3123: 
                   3124:   iagemin= (int) agemin;
                   3125:   iagemax= (int) agemax;
                   3126:   /*pp=vector(1,nlstate);*/
                   3127:   prop=matrix(1,nlstate,iagemin,iagemax+3); 
                   3128:   /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
                   3129:   j1=0;
                   3130:   
1.145     brouard  3131:   /*j=cptcoveff;*/
1.126     brouard  3132:   if (cptcovn<1) {j=1;ncodemax[1]=1;}
                   3133:   
1.145     brouard  3134:   first=1;
                   3135:   for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
                   3136:     /*for(i1=1; i1<=ncodemax[k1];i1++){
                   3137:       j1++;*/
1.126     brouard  3138:       
                   3139:       for (i=1; i<=nlstate; i++)  
                   3140:        for(m=iagemin; m <= iagemax+3; m++)
                   3141:          prop[i][m]=0.0;
                   3142:      
                   3143:       for (i=1; i<=imx; i++) { /* Each individual */
                   3144:        bool=1;
                   3145:        if  (cptcovn>0) {
                   3146:          for (z1=1; z1<=cptcoveff; z1++) 
1.198     brouard  3147:            if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
1.126     brouard  3148:              bool=0;
                   3149:        } 
                   3150:        if (bool==1) { 
                   3151:          for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                   3152:            y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
                   3153:            if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
                   3154:              if(agev[m][i]==0) agev[m][i]=iagemax+1;
                   3155:              if(agev[m][i]==1) agev[m][i]=iagemax+2;
                   3156:              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); 
                   3157:              if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   3158:                /*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]]);*/
                   3159:                prop[s[m][i]][(int)agev[m][i]] += weight[i];
                   3160:                prop[s[m][i]][iagemax+3] += weight[i]; 
                   3161:              } 
                   3162:            }
                   3163:          } /* end selection of waves */
                   3164:        }
                   3165:       }
                   3166:       for(i=iagemin; i <= iagemax+3; i++){  
                   3167:        for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
                   3168:          posprop += prop[jk][i]; 
                   3169:        } 
1.145     brouard  3170:        
1.126     brouard  3171:        for(jk=1; jk <=nlstate ; jk++){     
                   3172:          if( i <=  iagemax){ 
                   3173:            if(posprop>=1.e-5){ 
                   3174:              probs[i][jk][j1]= prop[jk][i]/posprop;
1.145     brouard  3175:            } else{
                   3176:              if(first==1){
                   3177:                first=0;
                   3178:                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]);
                   3179:              }
                   3180:            }
1.126     brouard  3181:          } 
                   3182:        }/* end jk */ 
                   3183:       }/* end i */ 
1.145     brouard  3184:     /*} *//* end i1 */
                   3185:   } /* end j1 */
1.126     brouard  3186:   
                   3187:   /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
                   3188:   /*free_vector(pp,1,nlstate);*/
                   3189:   free_matrix(prop,1,nlstate, iagemin,iagemax+3);
                   3190: }  /* End of prevalence */
                   3191: 
                   3192: /************* Waves Concatenation ***************/
                   3193: 
                   3194: 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)
                   3195: {
                   3196:   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
                   3197:      Death is a valid wave (if date is known).
                   3198:      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
                   3199:      dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
                   3200:      and mw[mi+1][i]. dh depends on stepm.
                   3201:      */
                   3202: 
                   3203:   int i, mi, m;
                   3204:   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
                   3205:      double sum=0., jmean=0.;*/
                   3206:   int first;
                   3207:   int j, k=0,jk, ju, jl;
                   3208:   double sum=0.;
                   3209:   first=0;
1.164     brouard  3210:   jmin=100000;
1.126     brouard  3211:   jmax=-1;
                   3212:   jmean=0.;
                   3213:   for(i=1; i<=imx; i++){
                   3214:     mi=0;
                   3215:     m=firstpass;
                   3216:     while(s[m][i] <= nlstate){
                   3217:       if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
                   3218:        mw[++mi][i]=m;
                   3219:       if(m >=lastpass)
                   3220:        break;
                   3221:       else
                   3222:        m++;
                   3223:     }/* end while */
                   3224:     if (s[m][i] > nlstate){
                   3225:       mi++;    /* Death is another wave */
                   3226:       /* if(mi==0)  never been interviewed correctly before death */
                   3227:         /* Only death is a correct wave */
                   3228:       mw[mi][i]=m;
                   3229:     }
                   3230: 
                   3231:     wav[i]=mi;
                   3232:     if(mi==0){
                   3233:       nbwarn++;
                   3234:       if(first==0){
                   3235:        printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
                   3236:        first=1;
                   3237:       }
                   3238:       if(first==1){
                   3239:        fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
                   3240:       }
                   3241:     } /* end mi==0 */
                   3242:   } /* End individuals */
                   3243: 
                   3244:   for(i=1; i<=imx; i++){
                   3245:     for(mi=1; mi<wav[i];mi++){
                   3246:       if (stepm <=0)
                   3247:        dh[mi][i]=1;
                   3248:       else{
                   3249:        if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
                   3250:          if (agedc[i] < 2*AGESUP) {
                   3251:            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
                   3252:            if(j==0) j=1;  /* Survives at least one month after exam */
                   3253:            else if(j<0){
                   3254:              nberr++;
                   3255:              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]);
                   3256:              j=1; /* Temporary Dangerous patch */
                   3257:              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);
                   3258:              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]);
                   3259:              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);
                   3260:            }
                   3261:            k=k+1;
                   3262:            if (j >= jmax){
                   3263:              jmax=j;
                   3264:              ijmax=i;
                   3265:            }
                   3266:            if (j <= jmin){
                   3267:              jmin=j;
                   3268:              ijmin=i;
                   3269:            }
                   3270:            sum=sum+j;
                   3271:            /*if (j<0) printf("j=%d num=%d \n",j,i);*/
                   3272:            /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
                   3273:          }
                   3274:        }
                   3275:        else{
                   3276:          j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                   3277: /*       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]); */
                   3278: 
                   3279:          k=k+1;
                   3280:          if (j >= jmax) {
                   3281:            jmax=j;
                   3282:            ijmax=i;
                   3283:          }
                   3284:          else if (j <= jmin){
                   3285:            jmin=j;
                   3286:            ijmin=i;
                   3287:          }
                   3288:          /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
                   3289:          /*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]);*/
                   3290:          if(j<0){
                   3291:            nberr++;
                   3292:            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]);
                   3293:            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]);
                   3294:          }
                   3295:          sum=sum+j;
                   3296:        }
                   3297:        jk= j/stepm;
                   3298:        jl= j -jk*stepm;
                   3299:        ju= j -(jk+1)*stepm;
                   3300:        if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
                   3301:          if(jl==0){
                   3302:            dh[mi][i]=jk;
                   3303:            bh[mi][i]=0;
                   3304:          }else{ /* We want a negative bias in order to only have interpolation ie
1.136     brouard  3305:                  * to avoid the price of an extra matrix product in likelihood */
1.126     brouard  3306:            dh[mi][i]=jk+1;
                   3307:            bh[mi][i]=ju;
                   3308:          }
                   3309:        }else{
                   3310:          if(jl <= -ju){
                   3311:            dh[mi][i]=jk;
                   3312:            bh[mi][i]=jl;       /* bias is positive if real duration
                   3313:                                 * is higher than the multiple of stepm and negative otherwise.
                   3314:                                 */
                   3315:          }
                   3316:          else{
                   3317:            dh[mi][i]=jk+1;
                   3318:            bh[mi][i]=ju;
                   3319:          }
                   3320:          if(dh[mi][i]==0){
                   3321:            dh[mi][i]=1; /* At least one step */
                   3322:            bh[mi][i]=ju; /* At least one step */
                   3323:            /*  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);*/
                   3324:          }
                   3325:        } /* end if mle */
                   3326:       }
                   3327:     } /* end wave */
                   3328:   }
                   3329:   jmean=sum/k;
                   3330:   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  3331:   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  3332:  }
                   3333: 
                   3334: /*********** Tricode ****************************/
1.145     brouard  3335: void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
1.126     brouard  3336: {
1.144     brouard  3337:   /**< Uses cptcovn+2*cptcovprod as the number of covariates */
                   3338:   /*     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  3339:    * Boring subroutine which should only output nbcode[Tvar[j]][k]
1.145     brouard  3340:    * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
1.169     brouard  3341:    * nbcode[Tvar[j]][1]= 
1.144     brouard  3342:   */
1.130     brouard  3343: 
1.145     brouard  3344:   int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
1.136     brouard  3345:   int modmaxcovj=0; /* Modality max of covariates j */
1.145     brouard  3346:   int cptcode=0; /* Modality max of covariates j */
                   3347:   int modmincovj=0; /* Modality min of covariates j */
                   3348: 
                   3349: 
1.126     brouard  3350:   cptcoveff=0; 
                   3351:  
1.144     brouard  3352:   for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
1.126     brouard  3353: 
1.145     brouard  3354:   /* Loop on covariates without age and products */
1.186     brouard  3355:   for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
1.192     brouard  3356:     for (k=-1; k < maxncov; k++) Ndum[k]=0;
1.186     brouard  3357:     for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
1.136     brouard  3358:                               modality of this covariate Vj*/ 
1.145     brouard  3359:       ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
                   3360:                                    * If product of Vn*Vm, still boolean *:
                   3361:                                    * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
                   3362:                                    * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
                   3363:       /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
1.136     brouard  3364:                                      modality of the nth covariate of individual i. */
1.145     brouard  3365:       if (ij > modmaxcovj)
                   3366:         modmaxcovj=ij; 
                   3367:       else if (ij < modmincovj) 
                   3368:        modmincovj=ij; 
                   3369:       if ((ij < -1) && (ij > NCOVMAX)){
                   3370:        printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
                   3371:        exit(1);
                   3372:       }else
1.136     brouard  3373:       Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
1.145     brouard  3374:       /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
1.126     brouard  3375:       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
1.136     brouard  3376:       /* getting the maximum value of the modality of the covariate
                   3377:         (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
                   3378:         female is 1, then modmaxcovj=1.*/
1.192     brouard  3379:     } /* end for loop on individuals i */
1.145     brouard  3380:     printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.192     brouard  3381:     fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
1.145     brouard  3382:     cptcode=modmaxcovj;
1.137     brouard  3383:     /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
1.145     brouard  3384:    /*for (i=0; i<=cptcode; i++) {*/
1.192     brouard  3385:     for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
                   3386:       printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3387:       fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
                   3388:       if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
                   3389:        if( k != -1){
                   3390:          ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
                   3391:                             covariate for which somebody answered excluding 
                   3392:                             undefined. Usually 2: 0 and 1. */
                   3393:        }
                   3394:        ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
                   3395:                             covariate for which somebody answered including 
                   3396:                             undefined. Usually 3: -1, 0 and 1. */
1.145     brouard  3397:       }
                   3398:       /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
                   3399:         historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
1.131     brouard  3400:     } /* Ndum[-1] number of undefined modalities */
1.126     brouard  3401: 
1.136     brouard  3402:     /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
1.186     brouard  3403:     /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
                   3404:        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  3405:        modmincovj=3; modmaxcovj = 7;
1.186     brouard  3406:        There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
                   3407:        which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
                   3408:        defining two dummy variables: variables V1_1 and V1_2.
1.145     brouard  3409:        nbcode[Tvar[j]][ij]=k;
                   3410:        nbcode[Tvar[j]][1]=0;
                   3411:        nbcode[Tvar[j]][2]=1;
                   3412:        nbcode[Tvar[j]][3]=2;
1.197     brouard  3413:        To be continued (not working yet).
1.145     brouard  3414:     */
1.197     brouard  3415:     ij=0; /* ij is similar to i but can jump over null modalities */
                   3416:     for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
                   3417:        if (Ndum[i] == 0) { /* If nobody responded to this modality k */
1.192     brouard  3418:          break;
                   3419:        }
                   3420:        ij++;
1.197     brouard  3421:        nbcode[Tvar[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
1.192     brouard  3422:        cptcode = ij; /* New max modality for covar j */
                   3423:     } /* end of loop on modality i=-1 to 1 or more */
                   3424:       
                   3425:     /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
                   3426:     /*         /\*recode from 0 *\/ */
                   3427:     /*                                      k is a modality. If we have model=V1+V1*sex  */
                   3428:     /*                                      then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
                   3429:     /*                                   But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
                   3430:     /*         } */
                   3431:     /*         /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
                   3432:     /*         if (ij > ncodemax[j]) { */
                   3433:     /*           printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
                   3434:     /*           fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
                   3435:     /*           break; */
                   3436:     /*         } */
                   3437:     /*   }  /\* end of loop on modality k *\/ */
1.137     brouard  3438:   } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
                   3439:   
1.145     brouard  3440:  for (k=-1; k< maxncov; k++) Ndum[k]=0; 
1.137     brouard  3441:   
1.187     brouard  3442:   for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
1.145     brouard  3443:    /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
                   3444:    ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
1.187     brouard  3445:    Ndum[ij]++; /* Might be supersed V1 + V1*age */
1.145     brouard  3446:  } 
1.126     brouard  3447: 
1.192     brouard  3448:  ij=0;
1.145     brouard  3449:  for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
                   3450:    /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
1.126     brouard  3451:    if((Ndum[i]!=0) && (i<=ncovcol)){
1.192     brouard  3452:      ij++;
1.145     brouard  3453:      /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
                   3454:      Tvaraff[ij]=i; /*For printing (unclear) */
1.192     brouard  3455:    }else{
                   3456:        /* Tvaraff[ij]=0; */
                   3457:    }
1.126     brouard  3458:  }
1.192     brouard  3459:  /* ij--; */
1.144     brouard  3460:  cptcoveff=ij; /*Number of total covariates*/
1.145     brouard  3461: 
1.126     brouard  3462: }
                   3463: 
1.145     brouard  3464: 
1.126     brouard  3465: /*********** Health Expectancies ****************/
                   3466: 
1.127     brouard  3467: 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  3468: 
                   3469: {
                   3470:   /* Health expectancies, no variances */
1.164     brouard  3471:   int i, j, nhstepm, hstepm, h, nstepm;
1.126     brouard  3472:   int nhstepma, nstepma; /* Decreasing with age */
                   3473:   double age, agelim, hf;
                   3474:   double ***p3mat;
                   3475:   double eip;
                   3476: 
                   3477:   pstamp(ficreseij);
                   3478:   fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
                   3479:   fprintf(ficreseij,"# Age");
                   3480:   for(i=1; i<=nlstate;i++){
                   3481:     for(j=1; j<=nlstate;j++){
                   3482:       fprintf(ficreseij," e%1d%1d ",i,j);
                   3483:     }
                   3484:     fprintf(ficreseij," e%1d. ",i);
                   3485:   }
                   3486:   fprintf(ficreseij,"\n");
                   3487: 
                   3488:   
                   3489:   if(estepm < stepm){
                   3490:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3491:   }
                   3492:   else  hstepm=estepm;   
                   3493:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3494:    * This is mainly to measure the difference between two models: for example
                   3495:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3496:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3497:    * progression in between and thus overestimating or underestimating according
                   3498:    * to the curvature of the survival function. If, for the same date, we 
                   3499:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3500:    * to compare the new estimate of Life expectancy with the same linear 
                   3501:    * hypothesis. A more precise result, taking into account a more precise
                   3502:    * curvature will be obtained if estepm is as small as stepm. */
                   3503: 
                   3504:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3505:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3506:      nhstepm is the number of hstepm from age to agelim 
                   3507:      nstepm is the number of stepm from age to agelin. 
                   3508:      Look at hpijx to understand the reason of that which relies in memory size
                   3509:      and note for a fixed period like estepm months */
                   3510:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3511:      survival function given by stepm (the optimization length). Unfortunately it
                   3512:      means that if the survival funtion is printed only each two years of age and if
                   3513:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3514:      results. So we changed our mind and took the option of the best precision.
                   3515:   */
                   3516:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3517: 
                   3518:   agelim=AGESUP;
                   3519:   /* If stepm=6 months */
                   3520:     /* Computed by stepm unit matrices, product of hstepm matrices, stored
                   3521:        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
                   3522:     
                   3523: /* nhstepm age range expressed in number of stepm */
                   3524:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3525:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3526:   /* if (stepm >= YEARM) hstepm=1;*/
                   3527:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3528:   p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3529: 
                   3530:   for (age=bage; age<=fage; age ++){ 
                   3531:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3532:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3533:     /* if (stepm >= YEARM) hstepm=1;*/
                   3534:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3535: 
                   3536:     /* If stepm=6 months */
                   3537:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3538:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3539:     
                   3540:     hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3541:     
                   3542:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3543:     
                   3544:     printf("%d|",(int)age);fflush(stdout);
                   3545:     fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3546:     
                   3547:     /* Computing expectancies */
                   3548:     for(i=1; i<=nlstate;i++)
                   3549:       for(j=1; j<=nlstate;j++)
                   3550:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3551:          eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
                   3552:          
                   3553:          /* 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]);*/
                   3554: 
                   3555:        }
                   3556: 
                   3557:     fprintf(ficreseij,"%3.0f",age );
                   3558:     for(i=1; i<=nlstate;i++){
                   3559:       eip=0;
                   3560:       for(j=1; j<=nlstate;j++){
                   3561:        eip +=eij[i][j][(int)age];
                   3562:        fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
                   3563:       }
                   3564:       fprintf(ficreseij,"%9.4f", eip );
                   3565:     }
                   3566:     fprintf(ficreseij,"\n");
                   3567:     
                   3568:   }
                   3569:   free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3570:   printf("\n");
                   3571:   fprintf(ficlog,"\n");
                   3572:   
                   3573: }
                   3574: 
1.127     brouard  3575: 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  3576: 
                   3577: {
                   3578:   /* Covariances of health expectancies eij and of total life expectancies according
                   3579:    to initial status i, ei. .
                   3580:   */
                   3581:   int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
                   3582:   int nhstepma, nstepma; /* Decreasing with age */
                   3583:   double age, agelim, hf;
                   3584:   double ***p3matp, ***p3matm, ***varhe;
                   3585:   double **dnewm,**doldm;
                   3586:   double *xp, *xm;
                   3587:   double **gp, **gm;
                   3588:   double ***gradg, ***trgradg;
                   3589:   int theta;
                   3590: 
                   3591:   double eip, vip;
                   3592: 
                   3593:   varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
                   3594:   xp=vector(1,npar);
                   3595:   xm=vector(1,npar);
                   3596:   dnewm=matrix(1,nlstate*nlstate,1,npar);
                   3597:   doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
                   3598:   
                   3599:   pstamp(ficresstdeij);
                   3600:   fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
                   3601:   fprintf(ficresstdeij,"# Age");
                   3602:   for(i=1; i<=nlstate;i++){
                   3603:     for(j=1; j<=nlstate;j++)
                   3604:       fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
                   3605:     fprintf(ficresstdeij," e%1d. ",i);
                   3606:   }
                   3607:   fprintf(ficresstdeij,"\n");
                   3608: 
                   3609:   pstamp(ficrescveij);
                   3610:   fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
                   3611:   fprintf(ficrescveij,"# Age");
                   3612:   for(i=1; i<=nlstate;i++)
                   3613:     for(j=1; j<=nlstate;j++){
                   3614:       cptj= (j-1)*nlstate+i;
                   3615:       for(i2=1; i2<=nlstate;i2++)
                   3616:        for(j2=1; j2<=nlstate;j2++){
                   3617:          cptj2= (j2-1)*nlstate+i2;
                   3618:          if(cptj2 <= cptj)
                   3619:            fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
                   3620:        }
                   3621:     }
                   3622:   fprintf(ficrescveij,"\n");
                   3623:   
                   3624:   if(estepm < stepm){
                   3625:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3626:   }
                   3627:   else  hstepm=estepm;   
                   3628:   /* We compute the life expectancy from trapezoids spaced every estepm months
                   3629:    * This is mainly to measure the difference between two models: for example
                   3630:    * if stepm=24 months pijx are given only every 2 years and by summing them
                   3631:    * we are calculating an estimate of the Life Expectancy assuming a linear 
                   3632:    * progression in between and thus overestimating or underestimating according
                   3633:    * to the curvature of the survival function. If, for the same date, we 
                   3634:    * estimate the model with stepm=1 month, we can keep estepm to 24 months
                   3635:    * to compare the new estimate of Life expectancy with the same linear 
                   3636:    * hypothesis. A more precise result, taking into account a more precise
                   3637:    * curvature will be obtained if estepm is as small as stepm. */
                   3638: 
                   3639:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3640:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3641:      nhstepm is the number of hstepm from age to agelim 
                   3642:      nstepm is the number of stepm from age to agelin. 
                   3643:      Look at hpijx to understand the reason of that which relies in memory size
                   3644:      and note for a fixed period like estepm months */
                   3645:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3646:      survival function given by stepm (the optimization length). Unfortunately it
                   3647:      means that if the survival funtion is printed only each two years of age and if
                   3648:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3649:      results. So we changed our mind and took the option of the best precision.
                   3650:   */
                   3651:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3652: 
                   3653:   /* If stepm=6 months */
                   3654:   /* nhstepm age range expressed in number of stepm */
                   3655:   agelim=AGESUP;
                   3656:   nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
                   3657:   /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3658:   /* if (stepm >= YEARM) hstepm=1;*/
                   3659:   nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3660:   
                   3661:   p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3662:   p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3663:   gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
                   3664:   trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
                   3665:   gp=matrix(0,nhstepm,1,nlstate*nlstate);
                   3666:   gm=matrix(0,nhstepm,1,nlstate*nlstate);
                   3667: 
                   3668:   for (age=bage; age<=fage; age ++){ 
                   3669:     nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
                   3670:     /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
                   3671:     /* if (stepm >= YEARM) hstepm=1;*/
                   3672:     nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
                   3673: 
                   3674:     /* If stepm=6 months */
                   3675:     /* Computed by stepm unit matrices, product of hstepma matrices, stored
                   3676:        in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
                   3677:     
                   3678:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3679: 
                   3680:     /* Computing  Variances of health expectancies */
                   3681:     /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
                   3682:        decrease memory allocation */
                   3683:     for(theta=1; theta <=npar; theta++){
                   3684:       for(i=1; i<=npar; i++){ 
                   3685:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3686:        xm[i] = x[i] - (i==theta ?delti[theta]:0);
                   3687:       }
                   3688:       hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
                   3689:       hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
                   3690:   
                   3691:       for(j=1; j<= nlstate; j++){
                   3692:        for(i=1; i<=nlstate; i++){
                   3693:          for(h=0; h<=nhstepm-1; h++){
                   3694:            gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
                   3695:            gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
                   3696:          }
                   3697:        }
                   3698:       }
                   3699:      
                   3700:       for(ij=1; ij<= nlstate*nlstate; ij++)
                   3701:        for(h=0; h<=nhstepm-1; h++){
                   3702:          gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
                   3703:        }
                   3704:     }/* End theta */
                   3705:     
                   3706:     
                   3707:     for(h=0; h<=nhstepm-1; h++)
                   3708:       for(j=1; j<=nlstate*nlstate;j++)
                   3709:        for(theta=1; theta <=npar; theta++)
                   3710:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3711:     
                   3712: 
                   3713:      for(ij=1;ij<=nlstate*nlstate;ij++)
                   3714:       for(ji=1;ji<=nlstate*nlstate;ji++)
                   3715:        varhe[ij][ji][(int)age] =0.;
                   3716: 
                   3717:      printf("%d|",(int)age);fflush(stdout);
                   3718:      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
                   3719:      for(h=0;h<=nhstepm-1;h++){
                   3720:       for(k=0;k<=nhstepm-1;k++){
                   3721:        matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
                   3722:        matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
                   3723:        for(ij=1;ij<=nlstate*nlstate;ij++)
                   3724:          for(ji=1;ji<=nlstate*nlstate;ji++)
                   3725:            varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
                   3726:       }
                   3727:     }
                   3728: 
                   3729:     /* Computing expectancies */
                   3730:     hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
                   3731:     for(i=1; i<=nlstate;i++)
                   3732:       for(j=1; j<=nlstate;j++)
                   3733:        for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
                   3734:          eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
                   3735:          
                   3736:          /* 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]);*/
                   3737: 
                   3738:        }
                   3739: 
                   3740:     fprintf(ficresstdeij,"%3.0f",age );
                   3741:     for(i=1; i<=nlstate;i++){
                   3742:       eip=0.;
                   3743:       vip=0.;
                   3744:       for(j=1; j<=nlstate;j++){
                   3745:        eip += eij[i][j][(int)age];
                   3746:        for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
                   3747:          vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
                   3748:        fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
                   3749:       }
                   3750:       fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
                   3751:     }
                   3752:     fprintf(ficresstdeij,"\n");
                   3753: 
                   3754:     fprintf(ficrescveij,"%3.0f",age );
                   3755:     for(i=1; i<=nlstate;i++)
                   3756:       for(j=1; j<=nlstate;j++){
                   3757:        cptj= (j-1)*nlstate+i;
                   3758:        for(i2=1; i2<=nlstate;i2++)
                   3759:          for(j2=1; j2<=nlstate;j2++){
                   3760:            cptj2= (j2-1)*nlstate+i2;
                   3761:            if(cptj2 <= cptj)
                   3762:              fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
                   3763:          }
                   3764:       }
                   3765:     fprintf(ficrescveij,"\n");
                   3766:    
                   3767:   }
                   3768:   free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
                   3769:   free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
                   3770:   free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
                   3771:   free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
                   3772:   free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3773:   free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3774:   printf("\n");
                   3775:   fprintf(ficlog,"\n");
                   3776: 
                   3777:   free_vector(xm,1,npar);
                   3778:   free_vector(xp,1,npar);
                   3779:   free_matrix(dnewm,1,nlstate*nlstate,1,npar);
                   3780:   free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
                   3781:   free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
                   3782: }
                   3783: 
                   3784: /************ Variance ******************/
                   3785: 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[])
                   3786: {
                   3787:   /* Variance of health expectancies */
                   3788:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
                   3789:   /* double **newm;*/
1.169     brouard  3790:   /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
                   3791:   
                   3792:   int movingaverage();
1.126     brouard  3793:   double **dnewm,**doldm;
                   3794:   double **dnewmp,**doldmp;
                   3795:   int i, j, nhstepm, hstepm, h, nstepm ;
1.164     brouard  3796:   int k;
1.126     brouard  3797:   double *xp;
                   3798:   double **gp, **gm;  /* for var eij */
                   3799:   double ***gradg, ***trgradg; /*for var eij */
                   3800:   double **gradgp, **trgradgp; /* for var p point j */
                   3801:   double *gpp, *gmp; /* for var p point j */
                   3802:   double **varppt; /* for var p point j nlstate to nlstate+ndeath */
                   3803:   double ***p3mat;
                   3804:   double age,agelim, hf;
                   3805:   double ***mobaverage;
                   3806:   int theta;
                   3807:   char digit[4];
                   3808:   char digitp[25];
                   3809: 
                   3810:   char fileresprobmorprev[FILENAMELENGTH];
                   3811: 
                   3812:   if(popbased==1){
                   3813:     if(mobilav!=0)
                   3814:       strcpy(digitp,"-populbased-mobilav-");
                   3815:     else strcpy(digitp,"-populbased-nomobil-");
                   3816:   }
                   3817:   else 
                   3818:     strcpy(digitp,"-stablbased-");
                   3819: 
                   3820:   if (mobilav!=0) {
                   3821:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   3822:     if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   3823:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   3824:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   3825:     }
                   3826:   }
                   3827: 
                   3828:   strcpy(fileresprobmorprev,"prmorprev"); 
                   3829:   sprintf(digit,"%-d",ij);
                   3830:   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
                   3831:   strcat(fileresprobmorprev,digit); /* Tvar to be done */
                   3832:   strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
                   3833:   strcat(fileresprobmorprev,fileres);
                   3834:   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
                   3835:     printf("Problem with resultfile: %s\n", fileresprobmorprev);
                   3836:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
                   3837:   }
                   3838:   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3839:  
                   3840:   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
                   3841:   pstamp(ficresprobmorprev);
                   3842:   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);
                   3843:   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
                   3844:   for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   3845:     fprintf(ficresprobmorprev," p.%-d SE",j);
                   3846:     for(i=1; i<=nlstate;i++)
                   3847:       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
                   3848:   }  
                   3849:   fprintf(ficresprobmorprev,"\n");
                   3850:   fprintf(ficgp,"\n# Routine varevsij");
1.200   ! brouard  3851:   fprintf(ficgp,"\nunset title \n");
        !          3852: /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
1.126     brouard  3853:   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");
                   3854:   fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
                   3855: /*   } */
                   3856:   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3857:   pstamp(ficresvij);
                   3858:   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
                   3859:   if(popbased==1)
1.128     brouard  3860:     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  3861:   else
                   3862:     fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
                   3863:   fprintf(ficresvij,"# Age");
                   3864:   for(i=1; i<=nlstate;i++)
                   3865:     for(j=1; j<=nlstate;j++)
                   3866:       fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
                   3867:   fprintf(ficresvij,"\n");
                   3868: 
                   3869:   xp=vector(1,npar);
                   3870:   dnewm=matrix(1,nlstate,1,npar);
                   3871:   doldm=matrix(1,nlstate,1,nlstate);
                   3872:   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
                   3873:   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   3874: 
                   3875:   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
                   3876:   gpp=vector(nlstate+1,nlstate+ndeath);
                   3877:   gmp=vector(nlstate+1,nlstate+ndeath);
                   3878:   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
                   3879:   
                   3880:   if(estepm < stepm){
                   3881:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   3882:   }
                   3883:   else  hstepm=estepm;   
                   3884:   /* For example we decided to compute the life expectancy with the smallest unit */
                   3885:   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
                   3886:      nhstepm is the number of hstepm from age to agelim 
                   3887:      nstepm is the number of stepm from age to agelin. 
1.128     brouard  3888:      Look at function hpijx to understand why (it is linked to memory size questions) */
1.126     brouard  3889:   /* We decided (b) to get a life expectancy respecting the most precise curvature of the
                   3890:      survival function given by stepm (the optimization length). Unfortunately it
                   3891:      means that if the survival funtion is printed every two years of age and if
                   3892:      you sum them up and add 1 year (area under the trapezoids) you won't get the same 
                   3893:      results. So we changed our mind and took the option of the best precision.
                   3894:   */
                   3895:   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
                   3896:   agelim = AGESUP;
                   3897:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   3898:     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   3899:     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
                   3900:     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   3901:     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
                   3902:     gp=matrix(0,nhstepm,1,nlstate);
                   3903:     gm=matrix(0,nhstepm,1,nlstate);
                   3904: 
                   3905: 
                   3906:     for(theta=1; theta <=npar; theta++){
                   3907:       for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
                   3908:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   3909:       }
                   3910:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3911:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3912: 
                   3913:       if (popbased==1) {
                   3914:        if(mobilav ==0){
                   3915:          for(i=1; i<=nlstate;i++)
                   3916:            prlim[i][i]=probs[(int)age][i][ij];
                   3917:        }else{ /* mobilav */ 
                   3918:          for(i=1; i<=nlstate;i++)
                   3919:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3920:        }
                   3921:       }
                   3922:   
                   3923:       for(j=1; j<= nlstate; j++){
                   3924:        for(h=0; h<=nhstepm; h++){
                   3925:          for(i=1, gp[h][j]=0.;i<=nlstate;i++)
                   3926:            gp[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3927:        }
                   3928:       }
                   3929:       /* This for computing probability of death (h=1 means
                   3930:          computed over hstepm matrices product = hstepm*stepm months) 
                   3931:          as a weighted average of prlim.
                   3932:       */
                   3933:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3934:        for(i=1,gpp[j]=0.; i<= nlstate; i++)
                   3935:          gpp[j] += prlim[i][i]*p3mat[i][j][1];
                   3936:       }    
                   3937:       /* end probability of death */
                   3938: 
                   3939:       for(i=1; i<=npar; i++) /* Computes gradient x - delta */
                   3940:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   3941:       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
                   3942:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   3943:  
                   3944:       if (popbased==1) {
                   3945:        if(mobilav ==0){
                   3946:          for(i=1; i<=nlstate;i++)
                   3947:            prlim[i][i]=probs[(int)age][i][ij];
                   3948:        }else{ /* mobilav */ 
                   3949:          for(i=1; i<=nlstate;i++)
                   3950:            prlim[i][i]=mobaverage[(int)age][i][ij];
                   3951:        }
                   3952:       }
                   3953: 
1.128     brouard  3954:       for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
1.126     brouard  3955:        for(h=0; h<=nhstepm; h++){
                   3956:          for(i=1, gm[h][j]=0.;i<=nlstate;i++)
                   3957:            gm[h][j] += prlim[i][i]*p3mat[i][j][h];
                   3958:        }
                   3959:       }
                   3960:       /* This for computing probability of death (h=1 means
                   3961:          computed over hstepm matrices product = hstepm*stepm months) 
                   3962:          as a weighted average of prlim.
                   3963:       */
                   3964:       for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   3965:        for(i=1,gmp[j]=0.; i<= nlstate; i++)
                   3966:          gmp[j] += prlim[i][i]*p3mat[i][j][1];
                   3967:       }    
                   3968:       /* end probability of death */
                   3969: 
                   3970:       for(j=1; j<= nlstate; j++) /* vareij */
                   3971:        for(h=0; h<=nhstepm; h++){
                   3972:          gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
                   3973:        }
                   3974: 
                   3975:       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
                   3976:        gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
                   3977:       }
                   3978: 
                   3979:     } /* End theta */
                   3980: 
                   3981:     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
                   3982: 
                   3983:     for(h=0; h<=nhstepm; h++) /* veij */
                   3984:       for(j=1; j<=nlstate;j++)
                   3985:        for(theta=1; theta <=npar; theta++)
                   3986:          trgradg[h][j][theta]=gradg[h][theta][j];
                   3987: 
                   3988:     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
                   3989:       for(theta=1; theta <=npar; theta++)
                   3990:        trgradgp[j][theta]=gradgp[theta][j];
                   3991:   
                   3992: 
                   3993:     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
                   3994:     for(i=1;i<=nlstate;i++)
                   3995:       for(j=1;j<=nlstate;j++)
                   3996:        vareij[i][j][(int)age] =0.;
                   3997: 
                   3998:     for(h=0;h<=nhstepm;h++){
                   3999:       for(k=0;k<=nhstepm;k++){
                   4000:        matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
                   4001:        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
                   4002:        for(i=1;i<=nlstate;i++)
                   4003:          for(j=1;j<=nlstate;j++)
                   4004:            vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
                   4005:       }
                   4006:     }
                   4007:   
                   4008:     /* pptj */
                   4009:     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
                   4010:     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
                   4011:     for(j=nlstate+1;j<=nlstate+ndeath;j++)
                   4012:       for(i=nlstate+1;i<=nlstate+ndeath;i++)
                   4013:        varppt[j][i]=doldmp[j][i];
                   4014:     /* end ppptj */
                   4015:     /*  x centered again */
                   4016:     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
                   4017:     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
                   4018:  
                   4019:     if (popbased==1) {
                   4020:       if(mobilav ==0){
                   4021:        for(i=1; i<=nlstate;i++)
                   4022:          prlim[i][i]=probs[(int)age][i][ij];
                   4023:       }else{ /* mobilav */ 
                   4024:        for(i=1; i<=nlstate;i++)
                   4025:          prlim[i][i]=mobaverage[(int)age][i][ij];
                   4026:       }
                   4027:     }
                   4028:              
                   4029:     /* This for computing probability of death (h=1 means
                   4030:        computed over hstepm (estepm) matrices product = hstepm*stepm months) 
                   4031:        as a weighted average of prlim.
                   4032:     */
                   4033:     for(j=nlstate+1;j<=nlstate+ndeath;j++){
                   4034:       for(i=1,gmp[j]=0.;i<= nlstate; i++) 
                   4035:        gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
                   4036:     }    
                   4037:     /* end probability of death */
                   4038: 
                   4039:     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
                   4040:     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
                   4041:       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
                   4042:       for(i=1; i<=nlstate;i++){
                   4043:        fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
                   4044:       }
                   4045:     } 
                   4046:     fprintf(ficresprobmorprev,"\n");
                   4047: 
                   4048:     fprintf(ficresvij,"%.0f ",age );
                   4049:     for(i=1; i<=nlstate;i++)
                   4050:       for(j=1; j<=nlstate;j++){
                   4051:        fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
                   4052:       }
                   4053:     fprintf(ficresvij,"\n");
                   4054:     free_matrix(gp,0,nhstepm,1,nlstate);
                   4055:     free_matrix(gm,0,nhstepm,1,nlstate);
                   4056:     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
                   4057:     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
                   4058:     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   4059:   } /* End age */
                   4060:   free_vector(gpp,nlstate+1,nlstate+ndeath);
                   4061:   free_vector(gmp,nlstate+1,nlstate+ndeath);
                   4062:   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
                   4063:   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
1.199     brouard  4064:   /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
                   4065:   fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
1.126     brouard  4066:   /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
1.131     brouard  4067:   fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
1.200   ! brouard  4068:   fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
1.126     brouard  4069: /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
                   4070: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
                   4071: /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
1.145     brouard  4072:   fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
1.170     brouard  4073:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
1.145     brouard  4074:   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
1.126     brouard  4075:   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
1.199     brouard  4076:   fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.svg\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
                   4077:   /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.svg\"> <br>\n", stepm,YEARM,digitp,digit);
1.126     brouard  4078: */
1.199     brouard  4079: /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
1.200   ! brouard  4080:   fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
1.126     brouard  4081: 
                   4082:   free_vector(xp,1,npar);
                   4083:   free_matrix(doldm,1,nlstate,1,nlstate);
                   4084:   free_matrix(dnewm,1,nlstate,1,npar);
                   4085:   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4086:   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
                   4087:   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
                   4088:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4089:   fclose(ficresprobmorprev);
                   4090:   fflush(ficgp);
                   4091:   fflush(fichtm); 
                   4092: }  /* end varevsij */
                   4093: 
                   4094: /************ Variance of prevlim ******************/
                   4095: 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[])
                   4096: {
                   4097:   /* Variance of prevalence limit */
                   4098:   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
1.164     brouard  4099: 
1.126     brouard  4100:   double **dnewm,**doldm;
                   4101:   int i, j, nhstepm, hstepm;
                   4102:   double *xp;
                   4103:   double *gp, *gm;
                   4104:   double **gradg, **trgradg;
                   4105:   double age,agelim;
                   4106:   int theta;
                   4107:   
                   4108:   pstamp(ficresvpl);
                   4109:   fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
                   4110:   fprintf(ficresvpl,"# Age");
                   4111:   for(i=1; i<=nlstate;i++)
                   4112:       fprintf(ficresvpl," %1d-%1d",i,i);
                   4113:   fprintf(ficresvpl,"\n");
                   4114: 
                   4115:   xp=vector(1,npar);
                   4116:   dnewm=matrix(1,nlstate,1,npar);
                   4117:   doldm=matrix(1,nlstate,1,nlstate);
                   4118:   
                   4119:   hstepm=1*YEARM; /* Every year of age */
                   4120:   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
                   4121:   agelim = AGESUP;
                   4122:   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
                   4123:     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   4124:     if (stepm >= YEARM) hstepm=1;
                   4125:     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   4126:     gradg=matrix(1,npar,1,nlstate);
                   4127:     gp=vector(1,nlstate);
                   4128:     gm=vector(1,nlstate);
                   4129: 
                   4130:     for(theta=1; theta <=npar; theta++){
                   4131:       for(i=1; i<=npar; i++){ /* Computes gradient */
                   4132:        xp[i] = x[i] + (i==theta ?delti[theta]:0);
                   4133:       }
                   4134:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4135:       for(i=1;i<=nlstate;i++)
                   4136:        gp[i] = prlim[i][i];
                   4137:     
                   4138:       for(i=1; i<=npar; i++) /* Computes gradient */
                   4139:        xp[i] = x[i] - (i==theta ?delti[theta]:0);
                   4140:       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
                   4141:       for(i=1;i<=nlstate;i++)
                   4142:        gm[i] = prlim[i][i];
                   4143: 
                   4144:       for(i=1;i<=nlstate;i++)
                   4145:        gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
                   4146:     } /* End theta */
                   4147: 
                   4148:     trgradg =matrix(1,nlstate,1,npar);
                   4149: 
                   4150:     for(j=1; j<=nlstate;j++)
                   4151:       for(theta=1; theta <=npar; theta++)
                   4152:        trgradg[j][theta]=gradg[theta][j];
                   4153: 
                   4154:     for(i=1;i<=nlstate;i++)
                   4155:       varpl[i][(int)age] =0.;
                   4156:     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
                   4157:     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
                   4158:     for(i=1;i<=nlstate;i++)
                   4159:       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
                   4160: 
                   4161:     fprintf(ficresvpl,"%.0f ",age );
                   4162:     for(i=1; i<=nlstate;i++)
                   4163:       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
                   4164:     fprintf(ficresvpl,"\n");
                   4165:     free_vector(gp,1,nlstate);
                   4166:     free_vector(gm,1,nlstate);
                   4167:     free_matrix(gradg,1,npar,1,nlstate);
                   4168:     free_matrix(trgradg,1,nlstate,1,npar);
                   4169:   } /* End age */
                   4170: 
                   4171:   free_vector(xp,1,npar);
                   4172:   free_matrix(doldm,1,nlstate,1,npar);
                   4173:   free_matrix(dnewm,1,nlstate,1,nlstate);
                   4174: 
                   4175: }
                   4176: 
                   4177: /************ Variance of one-step probabilities  ******************/
                   4178: 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[])
                   4179: {
1.164     brouard  4180:   int i, j=0,  k1, l1, tj;
1.126     brouard  4181:   int k2, l2, j1,  z1;
1.164     brouard  4182:   int k=0, l;
1.145     brouard  4183:   int first=1, first1, first2;
1.126     brouard  4184:   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
                   4185:   double **dnewm,**doldm;
                   4186:   double *xp;
                   4187:   double *gp, *gm;
                   4188:   double **gradg, **trgradg;
                   4189:   double **mu;
1.164     brouard  4190:   double age, cov[NCOVMAX+1];
1.126     brouard  4191:   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
                   4192:   int theta;
                   4193:   char fileresprob[FILENAMELENGTH];
                   4194:   char fileresprobcov[FILENAMELENGTH];
                   4195:   char fileresprobcor[FILENAMELENGTH];
                   4196:   double ***varpij;
                   4197: 
                   4198:   strcpy(fileresprob,"prob"); 
                   4199:   strcat(fileresprob,fileres);
                   4200:   if((ficresprob=fopen(fileresprob,"w"))==NULL) {
                   4201:     printf("Problem with resultfile: %s\n", fileresprob);
                   4202:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
                   4203:   }
                   4204:   strcpy(fileresprobcov,"probcov"); 
                   4205:   strcat(fileresprobcov,fileres);
                   4206:   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
                   4207:     printf("Problem with resultfile: %s\n", fileresprobcov);
                   4208:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
                   4209:   }
                   4210:   strcpy(fileresprobcor,"probcor"); 
                   4211:   strcat(fileresprobcor,fileres);
                   4212:   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
                   4213:     printf("Problem with resultfile: %s\n", fileresprobcor);
                   4214:     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
                   4215:   }
                   4216:   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4217:   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
                   4218:   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4219:   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
                   4220:   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4221:   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
                   4222:   pstamp(ficresprob);
                   4223:   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
                   4224:   fprintf(ficresprob,"# Age");
                   4225:   pstamp(ficresprobcov);
                   4226:   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
                   4227:   fprintf(ficresprobcov,"# Age");
                   4228:   pstamp(ficresprobcor);
                   4229:   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
                   4230:   fprintf(ficresprobcor,"# Age");
                   4231: 
                   4232: 
                   4233:   for(i=1; i<=nlstate;i++)
                   4234:     for(j=1; j<=(nlstate+ndeath);j++){
                   4235:       fprintf(ficresprob," p%1d-%1d (SE)",i,j);
                   4236:       fprintf(ficresprobcov," p%1d-%1d ",i,j);
                   4237:       fprintf(ficresprobcor," p%1d-%1d ",i,j);
                   4238:     }  
                   4239:  /* fprintf(ficresprob,"\n");
                   4240:   fprintf(ficresprobcov,"\n");
                   4241:   fprintf(ficresprobcor,"\n");
                   4242:  */
1.131     brouard  4243:   xp=vector(1,npar);
1.126     brouard  4244:   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4245:   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4246:   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
                   4247:   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
                   4248:   first=1;
                   4249:   fprintf(ficgp,"\n# Routine varprob");
                   4250:   fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
                   4251:   fprintf(fichtm,"\n");
                   4252: 
1.200   ! brouard  4253:   fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back.</li>\n",optionfilehtmcov);
1.197     brouard  4254:   fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, optionfilehtmcov);
                   4255:   fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
1.126     brouard  4256: and drawn. It helps understanding how is the covariance between two incidences.\
                   4257:  They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
                   4258:   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. \
                   4259: It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
                   4260: would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
                   4261: standard deviations wide on each axis. <br>\
                   4262:  Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
                   4263:  and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
                   4264: To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
                   4265: 
                   4266:   cov[1]=1;
1.145     brouard  4267:   /* tj=cptcoveff; */
                   4268:   tj = (int) pow(2,cptcoveff);
1.126     brouard  4269:   if (cptcovn<1) {tj=1;ncodemax[1]=1;}
                   4270:   j1=0;
1.145     brouard  4271:   for(j1=1; j1<=tj;j1++){
                   4272:     /*for(i1=1; i1<=ncodemax[t];i1++){ */
                   4273:     /*j1++;*/
1.126     brouard  4274:       if  (cptcovn>0) {
                   4275:        fprintf(ficresprob, "\n#********** Variable "); 
1.198     brouard  4276:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4277:        fprintf(ficresprob, "**********\n#\n");
                   4278:        fprintf(ficresprobcov, "\n#********** Variable "); 
1.198     brouard  4279:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4280:        fprintf(ficresprobcov, "**********\n#\n");
                   4281:        
                   4282:        fprintf(ficgp, "\n#********** Variable "); 
1.198     brouard  4283:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4284:        fprintf(ficgp, "**********\n#\n");
                   4285:        
                   4286:        
                   4287:        fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
1.198     brouard  4288:        for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4289:        fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4290:        
                   4291:        fprintf(ficresprobcor, "\n#********** Variable ");    
1.198     brouard  4292:        for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
1.126     brouard  4293:        fprintf(ficresprobcor, "**********\n#");    
                   4294:       }
                   4295:       
1.145     brouard  4296:       gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
                   4297:       trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                   4298:       gp=vector(1,(nlstate)*(nlstate+ndeath));
                   4299:       gm=vector(1,(nlstate)*(nlstate+ndeath));
1.126     brouard  4300:       for (age=bage; age<=fage; age ++){ 
                   4301:        cov[2]=age;
1.187     brouard  4302:        if(nagesqr==1)
                   4303:          cov[3]= age*age;
1.126     brouard  4304:        for (k=1; k<=cptcovn;k++) {
1.200   ! brouard  4305:          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
        !          4306:          /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
1.145     brouard  4307:                                                         * 1  1 1 1 1
                   4308:                                                         * 2  2 1 1 1
                   4309:                                                         * 3  1 2 1 1
                   4310:                                                         */
                   4311:          /* nbcode[1][1]=0 nbcode[1][2]=1;*/
1.126     brouard  4312:        }
1.186     brouard  4313:        /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
1.200   ! brouard  4314:        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
1.126     brouard  4315:        for (k=1; k<=cptcovprod;k++)
1.200   ! brouard  4316:          cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
1.126     brouard  4317:        
                   4318:     
                   4319:        for(theta=1; theta <=npar; theta++){
                   4320:          for(i=1; i<=npar; i++)
                   4321:            xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
                   4322:          
                   4323:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4324:          
                   4325:          k=0;
                   4326:          for(i=1; i<= (nlstate); i++){
                   4327:            for(j=1; j<=(nlstate+ndeath);j++){
                   4328:              k=k+1;
                   4329:              gp[k]=pmmij[i][j];
                   4330:            }
                   4331:          }
                   4332:          
                   4333:          for(i=1; i<=npar; i++)
                   4334:            xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
                   4335:     
                   4336:          pmij(pmmij,cov,ncovmodel,xp,nlstate);
                   4337:          k=0;
                   4338:          for(i=1; i<=(nlstate); i++){
                   4339:            for(j=1; j<=(nlstate+ndeath);j++){
                   4340:              k=k+1;
                   4341:              gm[k]=pmmij[i][j];
                   4342:            }
                   4343:          }
                   4344:      
                   4345:          for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
                   4346:            gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
                   4347:        }
                   4348: 
                   4349:        for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
                   4350:          for(theta=1; theta <=npar; theta++)
                   4351:            trgradg[j][theta]=gradg[theta][j];
                   4352:        
                   4353:        matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
                   4354:        matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
                   4355: 
                   4356:        pmij(pmmij,cov,ncovmodel,x,nlstate);
                   4357:        
                   4358:        k=0;
                   4359:        for(i=1; i<=(nlstate); i++){
                   4360:          for(j=1; j<=(nlstate+ndeath);j++){
                   4361:            k=k+1;
                   4362:            mu[k][(int) age]=pmmij[i][j];
                   4363:          }
                   4364:        }
                   4365:        for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
                   4366:          for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
                   4367:            varpij[i][j][(int)age] = doldm[i][j];
                   4368: 
                   4369:        /*printf("\n%d ",(int)age);
                   4370:          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4371:          printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4372:          fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
                   4373:          }*/
                   4374: 
                   4375:        fprintf(ficresprob,"\n%d ",(int)age);
                   4376:        fprintf(ficresprobcov,"\n%d ",(int)age);
                   4377:        fprintf(ficresprobcor,"\n%d ",(int)age);
                   4378: 
                   4379:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
                   4380:          fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
                   4381:        for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
                   4382:          fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
                   4383:          fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
                   4384:        }
                   4385:        i=0;
                   4386:        for (k=1; k<=(nlstate);k++){
                   4387:          for (l=1; l<=(nlstate+ndeath);l++){ 
1.145     brouard  4388:            i++;
1.126     brouard  4389:            fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   4390:            fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   4391:            for (j=1; j<=i;j++){
1.145     brouard  4392:              /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
1.126     brouard  4393:              fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   4394:              fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   4395:            }
                   4396:          }
                   4397:        }/* end of loop for state */
                   4398:       } /* end of loop for age */
1.145     brouard  4399:       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4400:       free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
                   4401:       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4402:       free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
                   4403:       
1.126     brouard  4404:       /* Confidence intervalle of pij  */
                   4405:       /*
1.131     brouard  4406:        fprintf(ficgp,"\nunset parametric;unset label");
1.126     brouard  4407:        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   4408:        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                   4409:        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);
                   4410:        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   4411:        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   4412:        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   4413:       */
                   4414: 
                   4415:       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
1.145     brouard  4416:       first1=1;first2=2;
1.126     brouard  4417:       for (k2=1; k2<=(nlstate);k2++){
                   4418:        for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                   4419:          if(l2==k2) continue;
                   4420:          j=(k2-1)*(nlstate+ndeath)+l2;
                   4421:          for (k1=1; k1<=(nlstate);k1++){
                   4422:            for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                   4423:              if(l1==k1) continue;
                   4424:              i=(k1-1)*(nlstate+ndeath)+l1;
                   4425:              if(i<=j) continue;
                   4426:              for (age=bage; age<=fage; age ++){ 
                   4427:                if ((int)age %5==0){
                   4428:                  v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   4429:                  v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4430:                  cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                   4431:                  mu1=mu[i][(int) age]/stepm*YEARM ;
                   4432:                  mu2=mu[j][(int) age]/stepm*YEARM;
                   4433:                  c12=cv12/sqrt(v1*v2);
                   4434:                  /* Computing eigen value of matrix of covariance */
                   4435:                  lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   4436:                  lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
1.135     brouard  4437:                  if ((lc2 <0) || (lc1 <0) ){
1.145     brouard  4438:                    if(first2==1){
                   4439:                      first1=0;
                   4440:                    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);
                   4441:                    }
                   4442:                    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);
                   4443:                    /* lc1=fabs(lc1); */ /* If we want to have them positive */
                   4444:                    /* lc2=fabs(lc2); */
1.135     brouard  4445:                  }
                   4446: 
1.126     brouard  4447:                  /* Eigen vectors */
                   4448:                  v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                   4449:                  /*v21=sqrt(1.-v11*v11); *//* error */
                   4450:                  v21=(lc1-v1)/cv12*v11;
                   4451:                  v12=-v21;
                   4452:                  v22=v11;
                   4453:                  tnalp=v21/v11;
                   4454:                  if(first1==1){
                   4455:                    first1=0;
                   4456:                    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);
                   4457:                  }
                   4458:                  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);
                   4459:                  /*printf(fignu*/
                   4460:                  /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                   4461:                  /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                   4462:                  if(first==1){
                   4463:                    first=0;
1.200   ! brouard  4464:                    fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
1.126     brouard  4465:                    fprintf(ficgp,"\nset parametric;unset label");
                   4466:                    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);
1.199     brouard  4467:                    fprintf(ficgp,"\nset ter svg size 640, 480");
1.126     brouard  4468:                    fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
1.199     brouard  4469:  :<a href=\"%s%d%1d%1d-%1d%1d.svg\">\
                   4470: %s%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
1.126     brouard  4471:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                   4472:                            subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
1.199     brouard  4473:                    fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
1.126     brouard  4474:                    fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
1.199     brouard  4475:                    fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
1.126     brouard  4476:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4477:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4478:                    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",\
                   4479:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4480:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4481:                  }else{
                   4482:                    first=0;
                   4483:                    fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                   4484:                    fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                   4485:                    fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                   4486:                    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",\
                   4487:                            mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   4488:                            mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   4489:                  }/* if first */
                   4490:                } /* age mod 5 */
                   4491:              } /* end loop age */
1.200   ! brouard  4492:              fprintf(ficgp,"\nset out;\nset out \"%s%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
1.126     brouard  4493:              first=1;
                   4494:            } /*l12 */
                   4495:          } /* k12 */
                   4496:        } /*l1 */
                   4497:       }/* k1 */
1.169     brouard  4498:       /* } */ /* loop covariates */
1.126     brouard  4499:   }
                   4500:   free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
                   4501:   free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
                   4502:   free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
                   4503:   free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
                   4504:   free_vector(xp,1,npar);
                   4505:   fclose(ficresprob);
                   4506:   fclose(ficresprobcov);
                   4507:   fclose(ficresprobcor);
                   4508:   fflush(ficgp);
                   4509:   fflush(fichtmcov);
                   4510: }
                   4511: 
                   4512: 
                   4513: /******************* Printing html file ***********/
                   4514: void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                   4515:                  int lastpass, int stepm, int weightopt, char model[],\
                   4516:                  int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                   4517:                  int popforecast, int estepm ,\
                   4518:                  double jprev1, double mprev1,double anprev1, \
                   4519:                  double jprev2, double mprev2,double anprev2){
                   4520:   int jj1, k1, i1, cpt;
                   4521: 
                   4522:    fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
                   4523:    <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
                   4524: </ul>");
                   4525:    fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
                   4526:  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
                   4527:           jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
                   4528:    fprintf(fichtm,"\
                   4529:  - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
                   4530:           stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
                   4531:    fprintf(fichtm,"\
                   4532:  - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
                   4533:           subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
                   4534:    fprintf(fichtm,"\
1.128     brouard  4535:  - (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  4536:    <a href=\"%s\">%s</a> <br>\n",
                   4537:           estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
                   4538:    fprintf(fichtm,"\
                   4539:  - Population projections by age and states: \
                   4540:    <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
                   4541: 
                   4542: fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
                   4543: 
1.145     brouard  4544:  m=pow(2,cptcoveff);
1.126     brouard  4545:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4546: 
                   4547:  jj1=0;
                   4548:  for(k1=1; k1<=m;k1++){
1.192     brouard  4549:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4550:      jj1++;
                   4551:      if (cptcovn > 0) {
                   4552:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
1.192     brouard  4553:        for (cpt=1; cpt<=cptcoveff;cpt++){ 
1.198     brouard  4554:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
                   4555:         printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
1.192     brouard  4556:        }
1.126     brouard  4557:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4558:      }
                   4559:      /* Pij */
1.199     brouard  4560:      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.svg\">%s%d_1.svg</a><br> \
                   4561: <img src=\"%s%d_1.svg\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
1.126     brouard  4562:      /* Quasi-incidences */
                   4563:      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
1.199     brouard  4564:  before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.svg\">%s%d_2.svg</a><br> \
                   4565: <img src=\"%s%d_2.svg\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
1.126     brouard  4566:        /* Period (stable) prevalence in each health state */
1.154     brouard  4567:        for(cpt=1; cpt<=nlstate;cpt++){
1.199     brouard  4568:         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.svg\">%s%d_%d.svg</a><br> \
                   4569: <img src=\"%s%d_%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
1.126     brouard  4570:        }
                   4571:      for(cpt=1; cpt<=nlstate;cpt++) {
1.199     brouard  4572:         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.svg\">%s%d%d.svg</a> <br> \
                   4573: <img src=\"%s%d%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
1.126     brouard  4574:      }
1.192     brouard  4575:    /* } /\* end i1 *\/ */
1.126     brouard  4576:  }/* End k1 */
                   4577:  fprintf(fichtm,"</ul>");
                   4578: 
                   4579:  fprintf(fichtm,"\
                   4580: \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
1.193     brouard  4581:  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
1.197     brouard  4582:  - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file.<br> \
                   4583: But because parameters are usually highly correlated (a higher incidence of disability \
                   4584: and a higher incidence of recovery can give very close observed transition) it might \
                   4585: be very useful to look not only at linear confidence intervals estimated from the \
                   4586: variances but at the covariance matrix. And instead of looking at the estimated coefficients \
                   4587: (parameters) of the logistic regression, it might be more meaningful to visualize the \
                   4588: covariance matrix of the one-step probabilities. \
                   4589: See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
1.126     brouard  4590: 
1.193     brouard  4591:  fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
1.126     brouard  4592:         subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
                   4593:  fprintf(fichtm,"\
                   4594:  - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4595:         subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
                   4596: 
                   4597:  fprintf(fichtm,"\
                   4598:  - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
                   4599:         subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
                   4600:  fprintf(fichtm,"\
                   4601:  - 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): \
                   4602:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4603:           estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
                   4604:  fprintf(fichtm,"\
                   4605:  - (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): \
                   4606:    <a href=\"%s\">%s</a> <br>\n</li>",
                   4607:           estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
                   4608:  fprintf(fichtm,"\
1.128     brouard  4609:  - 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  4610:         estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
                   4611:  fprintf(fichtm,"\
1.128     brouard  4612:  - 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",
                   4613:         estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
1.126     brouard  4614:  fprintf(fichtm,"\
                   4615:  - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
                   4616:         subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
                   4617: 
                   4618: /*  if(popforecast==1) fprintf(fichtm,"\n */
                   4619: /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
                   4620: /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
                   4621: /*     <br>",fileres,fileres,fileres,fileres); */
                   4622: /*  else  */
                   4623: /*    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); */
                   4624:  fflush(fichtm);
                   4625:  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
                   4626: 
1.145     brouard  4627:  m=pow(2,cptcoveff);
1.126     brouard  4628:  if (cptcovn < 1) {m=1;ncodemax[1]=1;}
                   4629: 
                   4630:  jj1=0;
                   4631:  for(k1=1; k1<=m;k1++){
1.192     brouard  4632:    /* for(i1=1; i1<=ncodemax[k1];i1++){ */
1.126     brouard  4633:      jj1++;
                   4634:      if (cptcovn > 0) {
                   4635:        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
                   4636:        for (cpt=1; cpt<=cptcoveff;cpt++) 
1.198     brouard  4637:         fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
1.126     brouard  4638:        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
                   4639:      }
                   4640:      for(cpt=1; cpt<=nlstate;cpt++) {
                   4641:        fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
1.199     brouard  4642: prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.svg <br>\
                   4643: <img src=\"%s%d_%d.svg\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
1.126     brouard  4644:      }
                   4645:      fprintf(fichtm,"\n<br>- Total life expectancy by age and \
1.128     brouard  4646: health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
                   4647: true period expectancies (those weighted with period prevalences are also\
                   4648:  drawn in addition to the population based expectancies computed using\
1.199     brouard  4649:  observed and cahotic prevalences: %s%d.svg<br>\
                   4650: <img src=\"%s%d.svg\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
1.192     brouard  4651:    /* } /\* end i1 *\/ */
1.126     brouard  4652:  }/* End k1 */
                   4653:  fprintf(fichtm,"</ul>");
                   4654:  fflush(fichtm);
                   4655: }
                   4656: 
                   4657: /******************* Gnuplot file **************/
                   4658: void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   4659: 
                   4660:   char dirfileres[132],optfileres[132];
1.164     brouard  4661:   int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
1.130     brouard  4662:   int ng=0;
1.126     brouard  4663: /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
                   4664: /*     printf("Problem with file %s",optionfilegnuplot); */
                   4665: /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
                   4666: /*   } */
                   4667: 
                   4668:   /*#ifdef windows */
                   4669:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   4670:     /*#endif */
                   4671:   m=pow(2,cptcoveff);
                   4672: 
                   4673:   strcpy(dirfileres,optionfilefiname);
                   4674:   strcpy(optfileres,"vpl");
                   4675:  /* 1eme*/
1.153     brouard  4676:   fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
1.126     brouard  4677:   for (cpt=1; cpt<= nlstate ; cpt ++) {
1.145     brouard  4678:     for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
1.199     brouard  4679:      fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
                   4680:      fprintf(ficgp,"\n#set out \"v%s%d_%d.svg\" \n",optionfilefiname,cpt,k1);
1.126     brouard  4681:      fprintf(ficgp,"set xlabel \"Age\" \n\
                   4682: set ylabel \"Probability\" \n\
1.199     brouard  4683: set ter svg size 640, 480\n\
1.170     brouard  4684: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
1.126     brouard  4685: 
                   4686:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4687:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4688:        else        fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4689:      }
1.170     brouard  4690:      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  4691:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4692:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4693:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4694:      } 
1.170     brouard  4695:      fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
1.126     brouard  4696:      for (i=1; i<= nlstate ; i ++) {
1.170     brouard  4697:        if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
                   4698:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4699:      }  
1.145     brouard  4700:      fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
1.126     brouard  4701:    }
                   4702:   }
                   4703:   /*2 eme*/
1.153     brouard  4704:   fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
1.126     brouard  4705:   for (k1=1; k1<= m ; k1 ++) { 
1.199     brouard  4706:     fprintf(ficgp,"\nset out \"%s%d.svg\" \n",subdirf2(optionfilefiname,"e"),k1);
                   4707:     fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
1.126     brouard  4708:     
                   4709:     for (i=1; i<= nlstate+1 ; i ++) {
                   4710:       k=2*i;
1.170     brouard  4711:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4712:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4713:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4714:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4715:       }   
                   4716:       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
                   4717:       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
1.170     brouard  4718:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4719:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4720:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4721:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4722:       }   
1.145     brouard  4723:       fprintf(ficgp,"\" t\"\" w l lt 0,");
1.170     brouard  4724:       fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
1.126     brouard  4725:       for (j=1; j<= nlstate+1 ; j ++) {
1.170     brouard  4726:        if (j==i) fprintf(ficgp," %%lf (%%lf)");
                   4727:        else fprintf(ficgp," %%*lf (%%*lf)");
1.126     brouard  4728:       }   
1.145     brouard  4729:       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
                   4730:       else fprintf(ficgp,"\" t\"\" w l lt 0,");
1.126     brouard  4731:     }
                   4732:   }
                   4733:   
                   4734:   /*3eme*/
                   4735:   
                   4736:   for (k1=1; k1<= m ; k1 ++) { 
                   4737:     for (cpt=1; cpt<= nlstate ; cpt ++) {
                   4738:       /*       k=2+nlstate*(2*cpt-2); */
                   4739:       k=2+(nlstate+1)*(cpt-1);
1.199     brouard  4740:       fprintf(ficgp,"\nset out \"%s%d%d.svg\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
                   4741:       fprintf(ficgp,"set ter svg size 640, 480\n\
1.126     brouard  4742: plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
                   4743:       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4744:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4745:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4746:        fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
                   4747:        for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
                   4748:        fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
                   4749:        
                   4750:       */
                   4751:       for (i=1; i< nlstate ; i ++) {
                   4752:        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);
                   4753:        /*      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);*/
                   4754:        
                   4755:       } 
                   4756:       fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
                   4757:     }
                   4758:   }
                   4759:   
                   4760:   /* CV preval stable (period) */
1.153     brouard  4761:   for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
                   4762:     for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
1.126     brouard  4763:       k=3;
1.153     brouard  4764:       fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
1.199     brouard  4765:       fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
1.126     brouard  4766:       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
1.199     brouard  4767: set ter svg size 640, 480\n\
1.126     brouard  4768: unset log y\n\
1.153     brouard  4769: plot [%.f:%.f]  ", ageminpar, agemaxpar);
                   4770:       for (i=1; i<= nlstate ; i ++){
                   4771:        if(i==1)
                   4772:          fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
                   4773:        else
                   4774:          fprintf(ficgp,", '' ");
1.154     brouard  4775:        l=(nlstate+ndeath)*(i-1)+1;
                   4776:        fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
1.153     brouard  4777:        for (j=1; j<= (nlstate-1) ; j ++)
                   4778:          fprintf(ficgp,"+$%d",k+l+j);
                   4779:        fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
                   4780:       } /* nlstate */
                   4781:       fprintf(ficgp,"\n");
                   4782:     } /* end cpt state*/ 
                   4783:   } /* end covariate */  
1.126     brouard  4784:   
                   4785:   /* proba elementaires */
1.187     brouard  4786:   fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
1.126     brouard  4787:   for(i=1,jk=1; i <=nlstate; i++){
1.187     brouard  4788:     fprintf(ficgp,"# initial state %d\n",i);
1.126     brouard  4789:     for(k=1; k <=(nlstate+ndeath); k++){
                   4790:       if (k != i) {
1.187     brouard  4791:        fprintf(ficgp,"#   current state %d\n",k);
1.126     brouard  4792:        for(j=1; j <=ncovmodel; j++){
1.187     brouard  4793:          fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
1.126     brouard  4794:          jk++; 
                   4795:        }
1.187     brouard  4796:        fprintf(ficgp,"\n");
1.126     brouard  4797:       }
                   4798:     }
                   4799:    }
1.187     brouard  4800:   fprintf(ficgp,"##############\n#\n");
                   4801: 
1.145     brouard  4802:   /*goto avoid;*/
1.200   ! brouard  4803:   fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
1.187     brouard  4804:   fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
                   4805:   fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
                   4806:   fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
                   4807:   fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
                   4808:   fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4809:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4810:   fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4811:   fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
                   4812:   fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
                   4813:   fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
                   4814:   fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
                   4815:   fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
                   4816:   fprintf(ficgp,"#\n");
1.126     brouard  4817:    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
1.187     brouard  4818:      fprintf(ficgp,"# ng=%d\n",ng);
                   4819:      fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
1.126     brouard  4820:      for(jk=1; jk <=m; jk++) {
1.187     brouard  4821:        fprintf(ficgp,"#    jk=%d\n",jk);
1.199     brouard  4822:        fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
1.126     brouard  4823:        if (ng==2)
                   4824:         fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                   4825:        else
1.200   ! brouard  4826:         fprintf(ficgp,"\nunset title \n");
1.199     brouard  4827:        fprintf(ficgp,"\nset ter svg size 640, 480\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
1.126     brouard  4828:        i=1;
                   4829:        for(k2=1; k2<=nlstate; k2++) {
                   4830:         k3=i;
                   4831:         for(k=1; k<=(nlstate+ndeath); k++) {
                   4832:           if (k != k2){
                   4833:             if(ng==2)
1.187     brouard  4834:               if(nagesqr==0)
                   4835:                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                   4836:               else /* nagesqr =1 */
                   4837:                 fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
1.126     brouard  4838:             else
1.187     brouard  4839:               if(nagesqr==0)
                   4840:                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                   4841:               else /* nagesqr =1 */
                   4842:                 fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
1.141     brouard  4843:             ij=1;/* To be checked else nbcode[0][0] wrong */
1.187     brouard  4844:             for(j=3; j <=ncovmodel-nagesqr; j++) {
1.197     brouard  4845:               /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                   4846:               if(ij <=cptcovage) { /* Bug valgrind */
                   4847:                 if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200   ! brouard  4848:                   fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
        !          4849:                   /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  4850:                   ij++;
                   4851:                 }
1.186     brouard  4852:               }
                   4853:               else
1.198     brouard  4854:                 fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  4855:             }
                   4856:             fprintf(ficgp,")/(1");
                   4857:             
1.187     brouard  4858:             for(k1=1; k1 <=nlstate; k1++){ 
                   4859:               if(nagesqr==0)
                   4860:                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                   4861:               else /* nagesqr =1 */
                   4862:                 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);
                   4863:   
1.126     brouard  4864:               ij=1;
1.187     brouard  4865:               for(j=3; j <=ncovmodel-nagesqr; j++){
1.197     brouard  4866:                 if(ij <=cptcovage) { /* Bug valgrind */
                   4867:                   if((j-2)==Tage[ij]) { /* Bug valgrind */
1.200   ! brouard  4868:                     fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
        !          4869:                     /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
1.197     brouard  4870:                     ij++;
                   4871:                   }
1.186     brouard  4872:                 }
                   4873:                 else
1.198     brouard  4874:                   fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
1.126     brouard  4875:               }
                   4876:               fprintf(ficgp,")");
                   4877:             }
                   4878:             fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                   4879:             if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                   4880:             i=i+ncovmodel;
                   4881:           }
                   4882:         } /* end k */
                   4883:        } /* end k2 */
                   4884:      } /* end jk */
                   4885:    } /* end ng */
1.164     brouard  4886:  /* avoid: */
1.126     brouard  4887:    fflush(ficgp); 
                   4888: }  /* end gnuplot */
                   4889: 
                   4890: 
                   4891: /*************** Moving average **************/
                   4892: int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
                   4893: 
                   4894:   int i, cpt, cptcod;
                   4895:   int modcovmax =1;
                   4896:   int mobilavrange, mob;
                   4897:   double age;
                   4898: 
                   4899:   modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                   4900:                           a covariate has 2 modalities */
                   4901:   if (cptcovn<1) modcovmax=1; /* At least 1 pass */
                   4902: 
                   4903:   if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
                   4904:     if(mobilav==1) mobilavrange=5; /* default */
                   4905:     else mobilavrange=mobilav;
                   4906:     for (age=bage; age<=fage; age++)
                   4907:       for (i=1; i<=nlstate;i++)
                   4908:        for (cptcod=1;cptcod<=modcovmax;cptcod++)
                   4909:          mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
                   4910:     /* We keep the original values on the extreme ages bage, fage and for 
                   4911:        fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
                   4912:        we use a 5 terms etc. until the borders are no more concerned. 
                   4913:     */ 
                   4914:     for (mob=3;mob <=mobilavrange;mob=mob+2){
                   4915:       for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
                   4916:        for (i=1; i<=nlstate;i++){
                   4917:          for (cptcod=1;cptcod<=modcovmax;cptcod++){
                   4918:            mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                   4919:              for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   4920:                mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   4921:                mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                   4922:              }
                   4923:            mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
                   4924:          }
                   4925:        }
                   4926:       }/* end age */
                   4927:     }/* end mob */
                   4928:   }else return -1;
                   4929:   return 0;
                   4930: }/* End movingaverage */
                   4931: 
                   4932: 
                   4933: /************** Forecasting ******************/
1.169     brouard  4934: 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  4935:   /* proj1, year, month, day of starting projection 
                   4936:      agemin, agemax range of age
                   4937:      dateprev1 dateprev2 range of dates during which prevalence is computed
                   4938:      anproj2 year of en of projection (same day and month as proj1).
                   4939:   */
1.164     brouard  4940:   int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
1.126     brouard  4941:   double agec; /* generic age */
                   4942:   double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
                   4943:   double *popeffectif,*popcount;
                   4944:   double ***p3mat;
                   4945:   double ***mobaverage;
                   4946:   char fileresf[FILENAMELENGTH];
                   4947: 
                   4948:   agelim=AGESUP;
                   4949:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   4950:  
                   4951:   strcpy(fileresf,"f"); 
                   4952:   strcat(fileresf,fileres);
                   4953:   if((ficresf=fopen(fileresf,"w"))==NULL) {
                   4954:     printf("Problem with forecast resultfile: %s\n", fileresf);
                   4955:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
                   4956:   }
                   4957:   printf("Computing forecasting: result on file '%s' \n", fileresf);
                   4958:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
                   4959: 
                   4960:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   4961: 
                   4962:   if (mobilav!=0) {
                   4963:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   4964:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   4965:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   4966:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   4967:     }
                   4968:   }
                   4969: 
                   4970:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   4971:   if (stepm<=12) stepsize=1;
                   4972:   if(estepm < stepm){
                   4973:     printf ("Problem %d lower than %d\n",estepm, stepm);
                   4974:   }
                   4975:   else  hstepm=estepm;   
                   4976: 
                   4977:   hstepm=hstepm/stepm; 
                   4978:   yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                   4979:                                fractional in yp1 */
                   4980:   anprojmean=yp;
                   4981:   yp2=modf((yp1*12),&yp);
                   4982:   mprojmean=yp;
                   4983:   yp1=modf((yp2*30.5),&yp);
                   4984:   jprojmean=yp;
                   4985:   if(jprojmean==0) jprojmean=1;
                   4986:   if(mprojmean==0) jprojmean=1;
                   4987: 
                   4988:   i1=cptcoveff;
                   4989:   if (cptcovn < 1){i1=1;}
                   4990:   
                   4991:   fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
                   4992:   
                   4993:   fprintf(ficresf,"#****** Routine prevforecast **\n");
                   4994: 
                   4995: /*           if (h==(int)(YEARM*yearp)){ */
                   4996:   for(cptcov=1, k=0;cptcov<=i1;cptcov++){
                   4997:     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   4998:       k=k+1;
                   4999:       fprintf(ficresf,"\n#******");
                   5000:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5001:        fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5002:       }
                   5003:       fprintf(ficresf,"******\n");
                   5004:       fprintf(ficresf,"# Covariate valuofcovar yearproj age");
                   5005:       for(j=1; j<=nlstate+ndeath;j++){ 
                   5006:        for(i=1; i<=nlstate;i++)              
                   5007:           fprintf(ficresf," p%d%d",i,j);
                   5008:        fprintf(ficresf," p.%d",j);
                   5009:       }
                   5010:       for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
                   5011:        fprintf(ficresf,"\n");
                   5012:        fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
                   5013: 
                   5014:        for (agec=fage; agec>=(ageminpar-1); agec--){ 
                   5015:          nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
                   5016:          nhstepm = nhstepm/hstepm; 
                   5017:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5018:          oldm=oldms;savm=savms;
                   5019:          hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5020:        
                   5021:          for (h=0; h<=nhstepm; h++){
                   5022:            if (h*hstepm/YEARM*stepm ==yearp) {
                   5023:               fprintf(ficresf,"\n");
                   5024:               for(j=1;j<=cptcoveff;j++) 
1.198     brouard  5025:                 fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5026:              fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
                   5027:            } 
                   5028:            for(j=1; j<=nlstate+ndeath;j++) {
                   5029:              ppij=0.;
                   5030:              for(i=1; i<=nlstate;i++) {
                   5031:                if (mobilav==1) 
                   5032:                  ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   5033:                else {
                   5034:                  ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   5035:                }
                   5036:                if (h*hstepm/YEARM*stepm== yearp) {
                   5037:                  fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   5038:                }
                   5039:              } /* end i */
                   5040:              if (h*hstepm/YEARM*stepm==yearp) {
                   5041:                fprintf(ficresf," %.3f", ppij);
                   5042:              }
                   5043:            }/* end j */
                   5044:          } /* end h */
                   5045:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5046:        } /* end agec */
                   5047:       } /* end yearp */
                   5048:     } /* end cptcod */
                   5049:   } /* end  cptcov */
                   5050:        
                   5051:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5052: 
                   5053:   fclose(ficresf);
                   5054: }
                   5055: 
                   5056: /************** Forecasting *****not tested NB*************/
1.169     brouard  5057: 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  5058:   
                   5059:   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
                   5060:   int *popage;
                   5061:   double calagedatem, agelim, kk1, kk2;
                   5062:   double *popeffectif,*popcount;
                   5063:   double ***p3mat,***tabpop,***tabpopprev;
                   5064:   double ***mobaverage;
                   5065:   char filerespop[FILENAMELENGTH];
                   5066: 
                   5067:   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5068:   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5069:   agelim=AGESUP;
                   5070:   calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
                   5071:   
                   5072:   prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   5073:   
                   5074:   
                   5075:   strcpy(filerespop,"pop"); 
                   5076:   strcat(filerespop,fileres);
                   5077:   if((ficrespop=fopen(filerespop,"w"))==NULL) {
                   5078:     printf("Problem with forecast resultfile: %s\n", filerespop);
                   5079:     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
                   5080:   }
                   5081:   printf("Computing forecasting: result on file '%s' \n", filerespop);
                   5082:   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
                   5083: 
                   5084:   if (cptcoveff==0) ncodemax[cptcoveff]=1;
                   5085: 
                   5086:   if (mobilav!=0) {
                   5087:     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5088:     if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
                   5089:       fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   5090:       printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   5091:     }
                   5092:   }
                   5093: 
                   5094:   stepsize=(int) (stepm+YEARM-1)/YEARM;
                   5095:   if (stepm<=12) stepsize=1;
                   5096:   
                   5097:   agelim=AGESUP;
                   5098:   
                   5099:   hstepm=1;
                   5100:   hstepm=hstepm/stepm; 
                   5101:   
                   5102:   if (popforecast==1) {
                   5103:     if((ficpop=fopen(popfile,"r"))==NULL) {
                   5104:       printf("Problem with population file : %s\n",popfile);exit(0);
                   5105:       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                   5106:     } 
                   5107:     popage=ivector(0,AGESUP);
                   5108:     popeffectif=vector(0,AGESUP);
                   5109:     popcount=vector(0,AGESUP);
                   5110:     
                   5111:     i=1;   
                   5112:     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                   5113:    
                   5114:     imx=i;
                   5115:     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   5116:   }
                   5117: 
                   5118:   for(cptcov=1,k=0;cptcov<=i2;cptcov++){
                   5119:    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
                   5120:       k=k+1;
                   5121:       fprintf(ficrespop,"\n#******");
                   5122:       for(j=1;j<=cptcoveff;j++) {
1.198     brouard  5123:        fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  5124:       }
                   5125:       fprintf(ficrespop,"******\n");
                   5126:       fprintf(ficrespop,"# Age");
                   5127:       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
                   5128:       if (popforecast==1)  fprintf(ficrespop," [Population]");
                   5129:       
                   5130:       for (cpt=0; cpt<=0;cpt++) { 
                   5131:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5132:        
                   5133:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5134:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5135:          nhstepm = nhstepm/hstepm; 
                   5136:          
                   5137:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5138:          oldm=oldms;savm=savms;
                   5139:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5140:        
                   5141:          for (h=0; h<=nhstepm; h++){
                   5142:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5143:              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5144:            } 
                   5145:            for(j=1; j<=nlstate+ndeath;j++) {
                   5146:              kk1=0.;kk2=0;
                   5147:              for(i=1; i<=nlstate;i++) {              
                   5148:                if (mobilav==1) 
                   5149:                  kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   5150:                else {
                   5151:                  kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   5152:                }
                   5153:              }
                   5154:              if (h==(int)(calagedatem+12*cpt)){
                   5155:                tabpop[(int)(agedeb)][j][cptcod]=kk1;
                   5156:                  /*fprintf(ficrespop," %.3f", kk1);
                   5157:                    if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                   5158:              }
                   5159:            }
                   5160:            for(i=1; i<=nlstate;i++){
                   5161:              kk1=0.;
                   5162:                for(j=1; j<=nlstate;j++){
                   5163:                  kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   5164:                }
                   5165:                  tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
                   5166:            }
                   5167: 
                   5168:            if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                   5169:              fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
                   5170:          }
                   5171:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5172:        }
                   5173:       }
                   5174:  
                   5175:   /******/
                   5176: 
                   5177:       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
                   5178:        fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
                   5179:        for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
                   5180:          nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
                   5181:          nhstepm = nhstepm/hstepm; 
                   5182:          
                   5183:          p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5184:          oldm=oldms;savm=savms;
                   5185:          hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   5186:          for (h=0; h<=nhstepm; h++){
                   5187:            if (h==(int) (calagedatem+YEARM*cpt)) {
                   5188:              fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                   5189:            } 
                   5190:            for(j=1; j<=nlstate+ndeath;j++) {
                   5191:              kk1=0.;kk2=0;
                   5192:              for(i=1; i<=nlstate;i++) {              
                   5193:                kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                   5194:              }
                   5195:              if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
                   5196:            }
                   5197:          }
                   5198:          free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   5199:        }
                   5200:       }
                   5201:    } 
                   5202:   }
                   5203:  
                   5204:   if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5205: 
                   5206:   if (popforecast==1) {
                   5207:     free_ivector(popage,0,AGESUP);
                   5208:     free_vector(popeffectif,0,AGESUP);
                   5209:     free_vector(popcount,0,AGESUP);
                   5210:   }
                   5211:   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5212:   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   5213:   fclose(ficrespop);
                   5214: } /* End of popforecast */
                   5215: 
                   5216: int fileappend(FILE *fichier, char *optionfich)
                   5217: {
                   5218:   if((fichier=fopen(optionfich,"a"))==NULL) {
                   5219:     printf("Problem with file: %s\n", optionfich);
                   5220:     fprintf(ficlog,"Problem with file: %s\n", optionfich);
                   5221:     return (0);
                   5222:   }
                   5223:   fflush(fichier);
                   5224:   return (1);
                   5225: }
                   5226: 
                   5227: 
                   5228: /**************** function prwizard **********************/
                   5229: void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
                   5230: {
                   5231: 
                   5232:   /* Wizard to print covariance matrix template */
                   5233: 
1.164     brouard  5234:   char ca[32], cb[32];
                   5235:   int i,j, k, li, lj, lk, ll, jj, npar, itimes;
1.126     brouard  5236:   int numlinepar;
                   5237: 
                   5238:   printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5239:   fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   5240:   for(i=1; i <=nlstate; i++){
                   5241:     jj=0;
                   5242:     for(j=1; j <=nlstate+ndeath; j++){
                   5243:       if(j==i) continue;
                   5244:       jj++;
                   5245:       /*ca[0]= k+'a'-1;ca[1]='\0';*/
                   5246:       printf("%1d%1d",i,j);
                   5247:       fprintf(ficparo,"%1d%1d",i,j);
                   5248:       for(k=1; k<=ncovmodel;k++){
                   5249:        /*        printf(" %lf",param[i][j][k]); */
                   5250:        /*        fprintf(ficparo," %lf",param[i][j][k]); */
                   5251:        printf(" 0.");
                   5252:        fprintf(ficparo," 0.");
                   5253:       }
                   5254:       printf("\n");
                   5255:       fprintf(ficparo,"\n");
                   5256:     }
                   5257:   }
                   5258:   printf("# Scales (for hessian or gradient estimation)\n");
                   5259:   fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
                   5260:   npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
                   5261:   for(i=1; i <=nlstate; i++){
                   5262:     jj=0;
                   5263:     for(j=1; j <=nlstate+ndeath; j++){
                   5264:       if(j==i) continue;
                   5265:       jj++;
                   5266:       fprintf(ficparo,"%1d%1d",i,j);
                   5267:       printf("%1d%1d",i,j);
                   5268:       fflush(stdout);
                   5269:       for(k=1; k<=ncovmodel;k++){
                   5270:        /*      printf(" %le",delti3[i][j][k]); */
                   5271:        /*      fprintf(ficparo," %le",delti3[i][j][k]); */
                   5272:        printf(" 0.");
                   5273:        fprintf(ficparo," 0.");
                   5274:       }
                   5275:       numlinepar++;
                   5276:       printf("\n");
                   5277:       fprintf(ficparo,"\n");
                   5278:     }
                   5279:   }
                   5280:   printf("# Covariance matrix\n");
                   5281: /* # 121 Var(a12)\n\ */
                   5282: /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5283: /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   5284: /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   5285: /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   5286: /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   5287: /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   5288: /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   5289:   fflush(stdout);
                   5290:   fprintf(ficparo,"# Covariance matrix\n");
                   5291:   /* # 121 Var(a12)\n\ */
                   5292:   /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   5293:   /* #   ...\n\ */
                   5294:   /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
                   5295:   
                   5296:   for(itimes=1;itimes<=2;itimes++){
                   5297:     jj=0;
                   5298:     for(i=1; i <=nlstate; i++){
                   5299:       for(j=1; j <=nlstate+ndeath; j++){
                   5300:        if(j==i) continue;
                   5301:        for(k=1; k<=ncovmodel;k++){
                   5302:          jj++;
                   5303:          ca[0]= k+'a'-1;ca[1]='\0';
                   5304:          if(itimes==1){
                   5305:            printf("#%1d%1d%d",i,j,k);
                   5306:            fprintf(ficparo,"#%1d%1d%d",i,j,k);
                   5307:          }else{
                   5308:            printf("%1d%1d%d",i,j,k);
                   5309:            fprintf(ficparo,"%1d%1d%d",i,j,k);
                   5310:            /*  printf(" %.5le",matcov[i][j]); */
                   5311:          }
                   5312:          ll=0;
                   5313:          for(li=1;li <=nlstate; li++){
                   5314:            for(lj=1;lj <=nlstate+ndeath; lj++){
                   5315:              if(lj==li) continue;
                   5316:              for(lk=1;lk<=ncovmodel;lk++){
                   5317:                ll++;
                   5318:                if(ll<=jj){
                   5319:                  cb[0]= lk +'a'-1;cb[1]='\0';
                   5320:                  if(ll<jj){
                   5321:                    if(itimes==1){
                   5322:                      printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5323:                      fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   5324:                    }else{
                   5325:                      printf(" 0.");
                   5326:                      fprintf(ficparo," 0.");
                   5327:                    }
                   5328:                  }else{
                   5329:                    if(itimes==1){
                   5330:                      printf(" Var(%s%1d%1d)",ca,i,j);
                   5331:                      fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                   5332:                    }else{
                   5333:                      printf(" 0.");
                   5334:                      fprintf(ficparo," 0.");
                   5335:                    }
                   5336:                  }
                   5337:                }
                   5338:              } /* end lk */
                   5339:            } /* end lj */
                   5340:          } /* end li */
                   5341:          printf("\n");
                   5342:          fprintf(ficparo,"\n");
                   5343:          numlinepar++;
                   5344:        } /* end k*/
                   5345:       } /*end j */
                   5346:     } /* end i */
                   5347:   } /* end itimes */
                   5348: 
                   5349: } /* end of prwizard */
                   5350: /******************* Gompertz Likelihood ******************************/
                   5351: double gompertz(double x[])
                   5352: { 
                   5353:   double A,B,L=0.0,sump=0.,num=0.;
                   5354:   int i,n=0; /* n is the size of the sample */
                   5355: 
                   5356:   for (i=0;i<=imx-1 ; i++) {
                   5357:     sump=sump+weight[i];
                   5358:     /*    sump=sump+1;*/
                   5359:     num=num+1;
                   5360:   }
                   5361:  
                   5362:  
                   5363:   /* for (i=0; i<=imx; i++) 
                   5364:      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]);*/
                   5365: 
                   5366:   for (i=1;i<=imx ; i++)
                   5367:     {
                   5368:       if (cens[i] == 1 && wav[i]>1)
                   5369:        A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
                   5370:       
                   5371:       if (cens[i] == 0 && wav[i]>1)
                   5372:        A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                   5373:             +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
                   5374:       
                   5375:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5376:       if (wav[i] > 1 ) { /* ??? */
                   5377:        L=L+A*weight[i];
                   5378:        /*      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]);*/
                   5379:       }
                   5380:     }
                   5381: 
                   5382:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5383:  
                   5384:   return -2*L*num/sump;
                   5385: }
                   5386: 
1.136     brouard  5387: #ifdef GSL
                   5388: /******************* Gompertz_f Likelihood ******************************/
                   5389: double gompertz_f(const gsl_vector *v, void *params)
                   5390: { 
                   5391:   double A,B,LL=0.0,sump=0.,num=0.;
                   5392:   double *x= (double *) v->data;
                   5393:   int i,n=0; /* n is the size of the sample */
                   5394: 
                   5395:   for (i=0;i<=imx-1 ; i++) {
                   5396:     sump=sump+weight[i];
                   5397:     /*    sump=sump+1;*/
                   5398:     num=num+1;
                   5399:   }
                   5400:  
                   5401:  
                   5402:   /* for (i=0; i<=imx; i++) 
                   5403:      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]);*/
                   5404:   printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
                   5405:   for (i=1;i<=imx ; i++)
                   5406:     {
                   5407:       if (cens[i] == 1 && wav[i]>1)
                   5408:        A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
                   5409:       
                   5410:       if (cens[i] == 0 && wav[i]>1)
                   5411:        A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                   5412:             +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
                   5413:       
                   5414:       /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
                   5415:       if (wav[i] > 1 ) { /* ??? */
                   5416:        LL=LL+A*weight[i];
                   5417:        /*      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]);*/
                   5418:       }
                   5419:     }
                   5420: 
                   5421:  /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
                   5422:   printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
                   5423:  
                   5424:   return -2*LL*num/sump;
                   5425: }
                   5426: #endif
                   5427: 
1.126     brouard  5428: /******************* Printing html file ***********/
                   5429: void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                   5430:                  int lastpass, int stepm, int weightopt, char model[],\
                   5431:                  int imx,  double p[],double **matcov,double agemortsup){
                   5432:   int i,k;
                   5433: 
                   5434:   fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
                   5435:   fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
                   5436:   for (i=1;i<=2;i++) 
                   5437:     fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.199     brouard  5438:   fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
1.126     brouard  5439:   fprintf(fichtm,"</ul>");
                   5440: 
                   5441: fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
                   5442: 
                   5443:  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>");
                   5444: 
                   5445:  for (k=agegomp;k<(agemortsup-2);k++) 
                   5446:    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]);
                   5447: 
                   5448:  
                   5449:   fflush(fichtm);
                   5450: }
                   5451: 
                   5452: /******************* Gnuplot file **************/
                   5453: void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
                   5454: 
                   5455:   char dirfileres[132],optfileres[132];
1.164     brouard  5456: 
1.126     brouard  5457:   int ng;
                   5458: 
                   5459: 
                   5460:   /*#ifdef windows */
                   5461:   fprintf(ficgp,"cd \"%s\" \n",pathc);
                   5462:     /*#endif */
                   5463: 
                   5464: 
                   5465:   strcpy(dirfileres,optionfilefiname);
                   5466:   strcpy(optfileres,"vpl");
1.199     brouard  5467:   fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
1.126     brouard  5468:   fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
1.199     brouard  5469:   fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
1.145     brouard  5470:   /* fprintf(ficgp, "set size 0.65,0.65\n"); */
1.126     brouard  5471:   fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
                   5472: 
                   5473: } 
                   5474: 
1.136     brouard  5475: int readdata(char datafile[], int firstobs, int lastobs, int *imax)
                   5476: {
1.126     brouard  5477: 
1.136     brouard  5478:   /*-------- data file ----------*/
                   5479:   FILE *fic;
                   5480:   char dummy[]="                         ";
1.164     brouard  5481:   int i=0, j=0, n=0;
1.136     brouard  5482:   int linei, month, year,iout;
                   5483:   char line[MAXLINE], linetmp[MAXLINE];
1.164     brouard  5484:   char stra[MAXLINE], strb[MAXLINE];
1.136     brouard  5485:   char *stratrunc;
                   5486:   int lstra;
1.126     brouard  5487: 
                   5488: 
1.136     brouard  5489:   if((fic=fopen(datafile,"r"))==NULL)    {
1.195     brouard  5490:     printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
                   5491:     fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
1.136     brouard  5492:   }
1.126     brouard  5493: 
1.136     brouard  5494:   i=1;
                   5495:   linei=0;
                   5496:   while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
                   5497:     linei=linei+1;
                   5498:     for(j=strlen(line); j>=0;j--){  /* Untabifies line */
                   5499:       if(line[j] == '\t')
                   5500:        line[j] = ' ';
                   5501:     }
                   5502:     for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
                   5503:       ;
                   5504:     };
                   5505:     line[j+1]=0;  /* Trims blanks at end of line */
                   5506:     if(line[0]=='#'){
                   5507:       fprintf(ficlog,"Comment line\n%s\n",line);
                   5508:       printf("Comment line\n%s\n",line);
                   5509:       continue;
                   5510:     }
                   5511:     trimbb(linetmp,line); /* Trims multiple blanks in line */
1.164     brouard  5512:     strcpy(line, linetmp);
1.136     brouard  5513:   
1.126     brouard  5514: 
1.136     brouard  5515:     for (j=maxwav;j>=1;j--){
1.137     brouard  5516:       cutv(stra, strb, line, ' '); 
1.136     brouard  5517:       if(strb[0]=='.') { /* Missing status */
                   5518:        lval=-1;
                   5519:       }else{
                   5520:        errno=0;
                   5521:        lval=strtol(strb,&endptr,10); 
                   5522:       /*       if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
                   5523:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5524:          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);
                   5525:          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  5526:          return 1;
                   5527:        }
                   5528:       }
                   5529:       s[j][i]=lval;
                   5530:       
                   5531:       strcpy(line,stra);
                   5532:       cutv(stra, strb,line,' ');
1.169     brouard  5533:       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5534:       }
1.169     brouard  5535:       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5536:        month=99;
                   5537:        year=9999;
                   5538:       }else{
1.141     brouard  5539:        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);
                   5540:        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  5541:        return 1;
                   5542:       }
                   5543:       anint[j][i]= (double) year; 
                   5544:       mint[j][i]= (double)month; 
                   5545:       strcpy(line,stra);
                   5546:     } /* ENd Waves */
                   5547:     
                   5548:     cutv(stra, strb,line,' '); 
1.169     brouard  5549:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5550:     }
1.169     brouard  5551:     else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
1.136     brouard  5552:       month=99;
                   5553:       year=9999;
                   5554:     }else{
1.141     brouard  5555:       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);
                   5556:        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  5557:        return 1;
                   5558:     }
                   5559:     andc[i]=(double) year; 
                   5560:     moisdc[i]=(double) month; 
                   5561:     strcpy(line,stra);
                   5562:     
                   5563:     cutv(stra, strb,line,' '); 
1.169     brouard  5564:     if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
1.136     brouard  5565:     }
1.169     brouard  5566:     else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
1.136     brouard  5567:       month=99;
                   5568:       year=9999;
                   5569:     }else{
1.141     brouard  5570:       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);
                   5571:       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  5572:        return 1;
                   5573:     }
                   5574:     if (year==9999) {
1.141     brouard  5575:       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);
                   5576:       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  5577:        return 1;
1.126     brouard  5578: 
1.136     brouard  5579:     }
                   5580:     annais[i]=(double)(year);
                   5581:     moisnais[i]=(double)(month); 
                   5582:     strcpy(line,stra);
                   5583:     
                   5584:     cutv(stra, strb,line,' '); 
                   5585:     errno=0;
                   5586:     dval=strtod(strb,&endptr); 
                   5587:     if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5588:       printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
                   5589:       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  5590:       fflush(ficlog);
                   5591:       return 1;
                   5592:     }
                   5593:     weight[i]=dval; 
                   5594:     strcpy(line,stra);
                   5595:     
                   5596:     for (j=ncovcol;j>=1;j--){
                   5597:       cutv(stra, strb,line,' '); 
                   5598:       if(strb[0]=='.') { /* Missing status */
                   5599:        lval=-1;
                   5600:       }else{
                   5601:        errno=0;
                   5602:        lval=strtol(strb,&endptr,10); 
                   5603:        if( strb[0]=='\0' || (*endptr != '\0')){
1.141     brouard  5604:          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);
                   5605:          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  5606:          return 1;
                   5607:        }
                   5608:       }
                   5609:       if(lval <-1 || lval >1){
1.141     brouard  5610:        printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5611:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5612:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5613:  For example, for multinomial values like 1, 2 and 3,\n \
                   5614:  build V1=0 V2=0 for the reference value (1),\n \
                   5615:         V1=1 V2=0 for (2) \n \
                   5616:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5617:  output of IMaCh is often meaningless.\n \
                   5618:  Exiting.\n",lval,linei, i,line,j);
1.141     brouard  5619:        fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
1.136     brouard  5620:  Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
                   5621:  for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
                   5622:  For example, for multinomial values like 1, 2 and 3,\n \
                   5623:  build V1=0 V2=0 for the reference value (1),\n \
                   5624:         V1=1 V2=0 for (2) \n \
                   5625:  and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
                   5626:  output of IMaCh is often meaningless.\n \
                   5627:  Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
                   5628:        return 1;
                   5629:       }
                   5630:       covar[j][i]=(double)(lval);
                   5631:       strcpy(line,stra);
                   5632:     }  
                   5633:     lstra=strlen(stra);
                   5634:      
                   5635:     if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
                   5636:       stratrunc = &(stra[lstra-9]);
                   5637:       num[i]=atol(stratrunc);
                   5638:     }
                   5639:     else
                   5640:       num[i]=atol(stra);
                   5641:     /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
                   5642:       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;}*/
                   5643:     
                   5644:     i=i+1;
                   5645:   } /* End loop reading  data */
1.126     brouard  5646: 
1.136     brouard  5647:   *imax=i-1; /* Number of individuals */
                   5648:   fclose(fic);
                   5649:  
                   5650:   return (0);
1.164     brouard  5651:   /* endread: */
1.136     brouard  5652:     printf("Exiting readdata: ");
                   5653:     fclose(fic);
                   5654:     return (1);
1.126     brouard  5655: 
                   5656: 
                   5657: 
1.136     brouard  5658: }
1.145     brouard  5659: void removespace(char *str) {
                   5660:   char *p1 = str, *p2 = str;
                   5661:   do
                   5662:     while (*p2 == ' ')
                   5663:       p2++;
1.169     brouard  5664:   while (*p1++ == *p2++);
1.145     brouard  5665: }
                   5666: 
                   5667: int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
1.187     brouard  5668:    * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
                   5669:    * - nagesqr = 1 if age*age in the model, otherwise 0.
                   5670:    * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
                   5671:    * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
1.145     brouard  5672:    * - cptcovage number of covariates with age*products =2
                   5673:    * - cptcovs number of simple covariates
                   5674:    * - 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
                   5675:    *     which is a new column after the 9 (ncovcol) variables. 
                   5676:    * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
                   5677:    * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
                   5678:    *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
                   5679:    * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
                   5680:  */
1.136     brouard  5681: {
1.145     brouard  5682:   int i, j, k, ks;
1.164     brouard  5683:   int  j1, k1, k2;
1.136     brouard  5684:   char modelsav[80];
1.145     brouard  5685:   char stra[80], strb[80], strc[80], strd[80],stre[80];
1.187     brouard  5686:   char *strpt;
1.136     brouard  5687: 
1.145     brouard  5688:   /*removespace(model);*/
1.136     brouard  5689:   if (strlen(model) >1){ /* If there is at least 1 covariate */
1.145     brouard  5690:     j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
1.137     brouard  5691:     if (strstr(model,"AGE") !=0){
1.192     brouard  5692:       printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
                   5693:       fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
1.136     brouard  5694:       return 1;
                   5695:     }
1.141     brouard  5696:     if (strstr(model,"v") !=0){
                   5697:       printf("Error. 'v' must be in upper case 'V' model=%s ",model);
                   5698:       fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
                   5699:       return 1;
                   5700:     }
1.187     brouard  5701:     strcpy(modelsav,model); 
                   5702:     if ((strpt=strstr(model,"age*age")) !=0){
                   5703:       printf(" strpt=%s, model=%s\n",strpt, model);
                   5704:       if(strpt != model){
                   5705:       printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  5706:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  5707:  corresponding column of parameters.\n",model);
                   5708:       fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
1.192     brouard  5709:  'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
1.187     brouard  5710:  corresponding column of parameters.\n",model); fflush(ficlog);
                   5711:       return 1;
                   5712:     }
                   5713: 
                   5714:       nagesqr=1;
                   5715:       if (strstr(model,"+age*age") !=0)
                   5716:        substrchaine(modelsav, model, "+age*age");
                   5717:       else if (strstr(model,"age*age+") !=0)
                   5718:        substrchaine(modelsav, model, "age*age+");
                   5719:       else 
                   5720:        substrchaine(modelsav, model, "age*age");
                   5721:     }else
                   5722:       nagesqr=0;
                   5723:     if (strlen(modelsav) >1){
                   5724:       j=nbocc(modelsav,'+'); /**< j=Number of '+' */
                   5725:       j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
                   5726:       cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
                   5727:       cptcovt= j+1; /* Number of total covariates in the model, not including
                   5728:                   * cst, age and age*age 
                   5729:                   * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                   5730:                   /* including age products which are counted in cptcovage.
                   5731:                  * but the covariates which are products must be treated 
                   5732:                  * separately: ncovn=4- 2=2 (V1+V3). */
                   5733:       cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
                   5734:       cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
                   5735: 
                   5736:     
                   5737:       /*   Design
                   5738:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
                   5739:        *  <          ncovcol=8                >
                   5740:        * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
                   5741:        *   k=  1    2      3       4     5       6      7        8
                   5742:        *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
                   5743:        *  covar[k,i], value of kth covariate if not including age for individual i:
                   5744:        *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
                   5745:        *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
                   5746:        *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
                   5747:        *  Tage[++cptcovage]=k
                   5748:        *       if products, new covar are created after ncovcol with k1
                   5749:        *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
                   5750:        *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
                   5751:        *  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
                   5752:        *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
                   5753:        *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
                   5754:        *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
                   5755:        *  <          ncovcol=8                >
                   5756:        *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
                   5757:        *          k=  1    2      3       4     5       6      7        8    9   10   11  12
                   5758:        *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
                   5759:        * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5760:        * p Tprod[1]@2={                         6, 5}
                   5761:        *p Tvard[1][1]@4= {7, 8, 5, 6}
                   5762:        * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
                   5763:        *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
                   5764:        *How to reorganize?
                   5765:        * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
                   5766:        * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
                   5767:        *       {2,   1,     4,      8,    5,      6,     3,       7}
                   5768:        * Struct []
                   5769:        */
1.145     brouard  5770: 
1.187     brouard  5771:       /* This loop fills the array Tvar from the string 'model'.*/
                   5772:       /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
                   5773:       /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
                   5774:       /*       k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
                   5775:       /*       k=3 V4 Tvar[k=3]= 4 (from V4) */
                   5776:       /*       k=2 V1 Tvar[k=2]= 1 (from V1) */
                   5777:       /*       k=1 Tvar[1]=2 (from V2) */
                   5778:       /*       k=5 Tvar[5] */
                   5779:       /* for (k=1; k<=cptcovn;k++) { */
1.198     brouard  5780:       /*       cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
1.187     brouard  5781:       /*       } */
1.198     brouard  5782:       /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
1.187     brouard  5783:       /*
                   5784:        * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
                   5785:       for(k=cptcovt; k>=1;k--) /**< Number of covariates */
1.145     brouard  5786:         Tvar[k]=0;
1.187     brouard  5787:       cptcovage=0;
                   5788:       for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
                   5789:        cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                   5790:                                         modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
                   5791:        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
                   5792:        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
                   5793:        /*scanf("%d",i);*/
                   5794:        if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
                   5795:          cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
                   5796:          if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
                   5797:            /* covar is not filled and then is empty */
                   5798:            cptcovprod--;
                   5799:            cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
                   5800:            Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
                   5801:            cptcovage++; /* Sums the number of covariates which include age as a product */
                   5802:            Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
                   5803:            /*printf("stre=%s ", stre);*/
                   5804:          } else if (strcmp(strd,"age")==0) { /* or age*Vn */
                   5805:            cptcovprod--;
                   5806:            cutl(stre,strb,strc,'V');
                   5807:            Tvar[k]=atoi(stre);
                   5808:            cptcovage++;
                   5809:            Tage[cptcovage]=k;
                   5810:          } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
                   5811:            /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
                   5812:            cptcovn++;
                   5813:            cptcovprodnoage++;k1++;
                   5814:            cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
                   5815:            Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                   5816:                                   because this model-covariate is a construction we invent a new column
                   5817:                                   ncovcol + k1
                   5818:                                   If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                   5819:                                   Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
                   5820:            cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
                   5821:            Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
                   5822:            Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
                   5823:            Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
                   5824:            k2=k2+2;
                   5825:            Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
                   5826:            Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
                   5827:            for (i=1; i<=lastobs;i++){
                   5828:              /* Computes the new covariate which is a product of
                   5829:                 covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                   5830:              covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
                   5831:            }
                   5832:          } /* End age is not in the model */
                   5833:        } /* End if model includes a product */
                   5834:        else { /* no more sum */
                   5835:          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
                   5836:          /*  scanf("%d",i);*/
                   5837:          cutl(strd,strc,strb,'V');
                   5838:          ks++; /**< Number of simple covariates */
1.145     brouard  5839:          cptcovn++;
1.187     brouard  5840:          Tvar[k]=atoi(strd);
                   5841:        }
                   5842:        strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
                   5843:        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
                   5844:          scanf("%d",i);*/
                   5845:       } /* end of loop + on total covariates */
                   5846:     } /* end if strlen(modelsave == 0) age*age might exist */
                   5847:   } /* end if strlen(model == 0) */
1.136     brouard  5848:   
                   5849:   /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
                   5850:     If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
                   5851: 
                   5852:   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
                   5853:   printf("cptcovprod=%d ", cptcovprod);
                   5854:   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
                   5855: 
                   5856:   scanf("%d ",i);*/
                   5857: 
                   5858: 
1.137     brouard  5859:   return (0); /* with covar[new additional covariate if product] and Tage if age */ 
1.164     brouard  5860:   /*endread:*/
1.136     brouard  5861:     printf("Exiting decodemodel: ");
                   5862:     return (1);
                   5863: }
                   5864: 
1.169     brouard  5865: int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
1.136     brouard  5866: {
                   5867:   int i, m;
                   5868: 
                   5869:   for (i=1; i<=imx; i++) {
                   5870:     for(m=2; (m<= maxwav); m++) {
                   5871:       if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
                   5872:        anint[m][i]=9999;
                   5873:        s[m][i]=-1;
                   5874:       }
                   5875:       if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
1.169     brouard  5876:        *nberr = *nberr + 1;
                   5877:        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);
                   5878:        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  5879:        s[m][i]=-1;
                   5880:       }
                   5881:       if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
1.169     brouard  5882:        (*nberr)++;
1.136     brouard  5883:        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]); 
                   5884:        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]); 
                   5885:        s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
                   5886:       }
                   5887:     }
                   5888:   }
                   5889: 
                   5890:   for (i=1; i<=imx; i++)  {
                   5891:     agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
                   5892:     for(m=firstpass; (m<= lastpass); m++){
                   5893:       if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
                   5894:        if (s[m][i] >= nlstate+1) {
1.169     brouard  5895:          if(agedc[i]>0){
                   5896:            if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
1.136     brouard  5897:              agev[m][i]=agedc[i];
                   5898:          /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
1.169     brouard  5899:            }else {
1.136     brouard  5900:              if ((int)andc[i]!=9999){
                   5901:                nbwarn++;
                   5902:                printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   5903:                fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   5904:                agev[m][i]=-1;
                   5905:              }
                   5906:            }
1.169     brouard  5907:          } /* agedc > 0 */
1.136     brouard  5908:        }
                   5909:        else if(s[m][i] !=9){ /* Standard case, age in fractional
                   5910:                                 years but with the precision of a month */
                   5911:          agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
                   5912:          if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
                   5913:            agev[m][i]=1;
                   5914:          else if(agev[m][i] < *agemin){ 
                   5915:            *agemin=agev[m][i];
                   5916:            printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
                   5917:          }
                   5918:          else if(agev[m][i] >*agemax){
                   5919:            *agemax=agev[m][i];
1.156     brouard  5920:            /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
1.136     brouard  5921:          }
                   5922:          /*agev[m][i]=anint[m][i]-annais[i];*/
                   5923:          /*     agev[m][i] = age[i]+2*m;*/
                   5924:        }
                   5925:        else { /* =9 */
                   5926:          agev[m][i]=1;
                   5927:          s[m][i]=-1;
                   5928:        }
                   5929:       }
                   5930:       else /*= 0 Unknown */
                   5931:        agev[m][i]=1;
                   5932:     }
                   5933:     
                   5934:   }
                   5935:   for (i=1; i<=imx; i++)  {
                   5936:     for(m=firstpass; (m<=lastpass); m++){
                   5937:       if (s[m][i] > (nlstate+ndeath)) {
1.169     brouard  5938:        (*nberr)++;
1.136     brouard  5939:        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);     
                   5940:        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);     
                   5941:        return 1;
                   5942:       }
                   5943:     }
                   5944:   }
                   5945: 
                   5946:   /*for (i=1; i<=imx; i++){
                   5947:   for (m=firstpass; (m<lastpass); m++){
                   5948:      printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
                   5949: }
                   5950: 
                   5951: }*/
                   5952: 
                   5953: 
1.139     brouard  5954:   printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
                   5955:   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
1.136     brouard  5956: 
                   5957:   return (0);
1.164     brouard  5958:  /* endread:*/
1.136     brouard  5959:     printf("Exiting calandcheckages: ");
                   5960:     return (1);
                   5961: }
                   5962: 
1.172     brouard  5963: #if defined(_MSC_VER)
                   5964: /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5965: /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
                   5966: //#include "stdafx.h"
                   5967: //#include <stdio.h>
                   5968: //#include <tchar.h>
                   5969: //#include <windows.h>
                   5970: //#include <iostream>
                   5971: typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
                   5972: 
                   5973: LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5974: 
                   5975: BOOL IsWow64()
                   5976: {
                   5977:        BOOL bIsWow64 = FALSE;
                   5978: 
                   5979:        //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
                   5980:        //  (HANDLE, PBOOL);
                   5981: 
                   5982:        //LPFN_ISWOW64PROCESS fnIsWow64Process;
                   5983: 
                   5984:        HMODULE module = GetModuleHandle(_T("kernel32"));
                   5985:        const char funcName[] = "IsWow64Process";
                   5986:        fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   5987:                GetProcAddress(module, funcName);
                   5988: 
                   5989:        if (NULL != fnIsWow64Process)
                   5990:        {
                   5991:                if (!fnIsWow64Process(GetCurrentProcess(),
                   5992:                        &bIsWow64))
                   5993:                        //throw std::exception("Unknown error");
                   5994:                        printf("Unknown error\n");
                   5995:        }
                   5996:        return bIsWow64 != FALSE;
                   5997: }
                   5998: #endif
1.177     brouard  5999: 
1.191     brouard  6000: void syscompilerinfo(int logged)
1.167     brouard  6001:  {
                   6002:    /* #include "syscompilerinfo.h"*/
1.185     brouard  6003:    /* command line Intel compiler 32bit windows, XP compatible:*/
                   6004:    /* /GS /W3 /Gy
                   6005:       /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
                   6006:       "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
                   6007:       "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
1.186     brouard  6008:       /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
                   6009:    */ 
                   6010:    /* 64 bits */
1.185     brouard  6011:    /*
                   6012:      /GS /W3 /Gy
                   6013:      /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
                   6014:      /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
                   6015:      /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
                   6016:      "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
                   6017:    /* Optimization are useless and O3 is slower than O2 */
                   6018:    /*
                   6019:      /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
                   6020:      /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
                   6021:      /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
                   6022:      /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
                   6023:    */
1.186     brouard  6024:    /* Link is */ /* /OUT:"visual studio
1.185     brouard  6025:       2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
                   6026:       /PDB:"visual studio
                   6027:       2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
                   6028:       "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
                   6029:       "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
                   6030:       "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
                   6031:       /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
                   6032:       /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
                   6033:       uiAccess='false'"
                   6034:       /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
                   6035:       /NOLOGO /TLBID:1
                   6036:    */
1.177     brouard  6037: #if defined __INTEL_COMPILER
1.178     brouard  6038: #if defined(__GNUC__)
                   6039:        struct utsname sysInfo;  /* For Intel on Linux and OS/X */
                   6040: #endif
1.177     brouard  6041: #elif defined(__GNUC__) 
1.179     brouard  6042: #ifndef  __APPLE__
1.174     brouard  6043: #include <gnu/libc-version.h>  /* Only on gnu */
1.179     brouard  6044: #endif
1.177     brouard  6045:    struct utsname sysInfo;
1.178     brouard  6046:    int cross = CROSS;
                   6047:    if (cross){
                   6048:           printf("Cross-");
1.191     brouard  6049:           if(logged) fprintf(ficlog, "Cross-");
1.178     brouard  6050:    }
1.174     brouard  6051: #endif
                   6052: 
1.171     brouard  6053: #include <stdint.h>
1.178     brouard  6054: 
1.191     brouard  6055:    printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
1.169     brouard  6056: #if defined(__clang__)
1.191     brouard  6057:    printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");      /* Clang/LLVM. ---------------------------------------------- */
1.169     brouard  6058: #endif
                   6059: #if defined(__ICC) || defined(__INTEL_COMPILER)
1.191     brouard  6060:    printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
1.169     brouard  6061: #endif
                   6062: #if defined(__GNUC__) || defined(__GNUG__)
1.191     brouard  6063:    printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
1.169     brouard  6064: #endif
                   6065: #if defined(__HP_cc) || defined(__HP_aCC)
1.191     brouard  6066:    printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
1.169     brouard  6067: #endif
                   6068: #if defined(__IBMC__) || defined(__IBMCPP__)
1.191     brouard  6069:    printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
1.169     brouard  6070: #endif
                   6071: #if defined(_MSC_VER)
1.191     brouard  6072:    printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
1.169     brouard  6073: #endif
                   6074: #if defined(__PGI)
1.191     brouard  6075:    printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
1.169     brouard  6076: #endif
                   6077: #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
1.191     brouard  6078:    printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
1.167     brouard  6079: #endif
1.191     brouard  6080:    printf(" for "); if (logged) fprintf(ficlog, " for ");
1.169     brouard  6081:    
1.167     brouard  6082: // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
                   6083: #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
                   6084:     // Windows (x64 and x86)
1.191     brouard  6085:    printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
1.167     brouard  6086: #elif __unix__ // all unices, not all compilers
                   6087:     // Unix
1.191     brouard  6088:    printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
1.167     brouard  6089: #elif __linux__
                   6090:     // linux
1.191     brouard  6091:    printf("linux ");if(logged) fprintf(ficlog,"linux ");
1.167     brouard  6092: #elif __APPLE__
1.174     brouard  6093:     // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
1.191     brouard  6094:    printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
1.167     brouard  6095: #endif
                   6096: 
                   6097: /*  __MINGW32__          */
                   6098: /*  __CYGWIN__  */
                   6099: /* __MINGW64__  */
                   6100: // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
                   6101: /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
                   6102: /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
                   6103: /* _WIN64  // Defined for applications for Win64. */
                   6104: /* _M_X64 // Defined for compilations that target x64 processors. */
                   6105: /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
1.171     brouard  6106: 
1.167     brouard  6107: #if UINTPTR_MAX == 0xffffffff
1.191     brouard  6108:    printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
1.167     brouard  6109: #elif UINTPTR_MAX == 0xffffffffffffffff
1.191     brouard  6110:    printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
1.167     brouard  6111: #else
1.191     brouard  6112:    printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
1.167     brouard  6113: #endif
                   6114: 
1.169     brouard  6115: #if defined(__GNUC__)
                   6116: # if defined(__GNUC_PATCHLEVEL__)
                   6117: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6118:                             + __GNUC_MINOR__ * 100 \
                   6119:                             + __GNUC_PATCHLEVEL__)
                   6120: # else
                   6121: #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                   6122:                             + __GNUC_MINOR__ * 100)
                   6123: # endif
1.174     brouard  6124:    printf(" using GNU C version %d.\n", __GNUC_VERSION__);
1.191     brouard  6125:    if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
1.176     brouard  6126: 
                   6127:    if (uname(&sysInfo) != -1) {
                   6128:      printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
1.191     brouard  6129:         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  6130:    }
                   6131:    else
                   6132:       perror("uname() error");
1.179     brouard  6133:    //#ifndef __INTEL_COMPILER 
                   6134: #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
1.174     brouard  6135:    printf("GNU libc version: %s\n", gnu_get_libc_version()); 
1.191     brouard  6136:    if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
1.177     brouard  6137: #endif
1.169     brouard  6138: #endif
1.172     brouard  6139: 
                   6140:    //   void main()
                   6141:    //   {
1.169     brouard  6142: #if defined(_MSC_VER)
1.174     brouard  6143:    if (IsWow64()){
1.191     brouard  6144:           printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
                   6145:           if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
1.174     brouard  6146:    }
                   6147:    else{
1.191     brouard  6148:           printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
                   6149:           if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
1.174     brouard  6150:    }
1.172     brouard  6151:    //     printf("\nPress Enter to continue...");
                   6152:    //     getchar();
                   6153:    //   }
                   6154: 
1.169     brouard  6155: #endif
                   6156:    
1.167     brouard  6157: 
                   6158:  }
1.136     brouard  6159: 
1.180     brouard  6160: int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar){
                   6161:   /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
                   6162:   int i, j, k, i1 ;
                   6163:   double ftolpl = 1.e-10;
                   6164:   double age, agebase, agelim;
                   6165: 
                   6166:     strcpy(filerespl,"pl");
                   6167:     strcat(filerespl,fileres);
                   6168:     if((ficrespl=fopen(filerespl,"w"))==NULL) {
                   6169:       printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6170:       fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
                   6171:     }
                   6172:     printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6173:     fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
                   6174:     pstamp(ficrespl);
                   6175:     fprintf(ficrespl,"# Period (stable) prevalence \n");
                   6176:     fprintf(ficrespl,"#Age ");
                   6177:     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6178:     fprintf(ficrespl,"\n");
                   6179:   
                   6180:     /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
                   6181: 
                   6182:     agebase=ageminpar;
                   6183:     agelim=agemaxpar;
                   6184: 
                   6185:     i1=pow(2,cptcoveff);
                   6186:     if (cptcovn < 1){i1=1;}
                   6187: 
                   6188:     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   6189:     /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
                   6190:       //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
                   6191:        k=k+1;
                   6192:        /* to clean */
1.198     brouard  6193:        //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
1.200   ! brouard  6194:        fprintf(ficrespl,"#******");
        !          6195:        printf("#******");
        !          6196:        fprintf(ficlog,"#******");
1.180     brouard  6197:        for(j=1;j<=cptcoveff;j++) {
1.198     brouard  6198:          fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6199:          printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                   6200:          fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6201:        }
                   6202:        fprintf(ficrespl,"******\n");
                   6203:        printf("******\n");
                   6204:        fprintf(ficlog,"******\n");
                   6205: 
                   6206:        fprintf(ficrespl,"#Age ");
                   6207:        for(j=1;j<=cptcoveff;j++) {
1.200   ! brouard  6208:          fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6209:        }
                   6210:        for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
                   6211:        fprintf(ficrespl,"\n");
                   6212:        
                   6213:        for (age=agebase; age<=agelim; age++){
                   6214:        /* for (age=agebase; age<=agebase; age++){ */
                   6215:          prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
                   6216:          fprintf(ficrespl,"%.0f ",age );
                   6217:          for(j=1;j<=cptcoveff;j++)
1.198     brouard  6218:            fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.180     brouard  6219:          for(i=1; i<=nlstate;i++)
                   6220:            fprintf(ficrespl," %.5f", prlim[i][i]);
                   6221:          fprintf(ficrespl,"\n");
                   6222:        } /* Age */
                   6223:        /* was end of cptcod */
                   6224:     } /* cptcov */
1.184     brouard  6225:        return 0;
1.180     brouard  6226: }
                   6227: 
                   6228: int hPijx(double *p, int bage, int fage){
                   6229:     /*------------- h Pij x at various ages ------------*/
                   6230: 
                   6231:   int stepsize;
                   6232:   int agelim;
                   6233:   int hstepm;
                   6234:   int nhstepm;
                   6235:   int h, i, i1, j, k;
                   6236: 
                   6237:   double agedeb;
                   6238:   double ***p3mat;
                   6239: 
                   6240:     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
                   6241:     if((ficrespij=fopen(filerespij,"w"))==NULL) {
                   6242:       printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6243:       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
                   6244:     }
                   6245:     printf("Computing pij: result on file '%s' \n", filerespij);
                   6246:     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
                   6247:   
                   6248:     stepsize=(int) (stepm+YEARM-1)/YEARM;
                   6249:     /*if (stepm<=24) stepsize=2;*/
                   6250: 
                   6251:     agelim=AGESUP;
                   6252:     hstepm=stepsize*YEARM; /* Every year of age */
                   6253:     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
                   6254: 
                   6255:     /* hstepm=1;   aff par mois*/
                   6256:     pstamp(ficrespij);
                   6257:     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
                   6258:     i1= pow(2,cptcoveff);
1.183     brouard  6259:    /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
                   6260:    /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
                   6261:    /*          k=k+1;  */
                   6262:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   6263:       fprintf(ficrespij,"\n#****** ");
                   6264:       for(j=1;j<=cptcoveff;j++) 
1.198     brouard  6265:        fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.183     brouard  6266:       fprintf(ficrespij,"******\n");
                   6267:       
                   6268:       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
                   6269:        nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
                   6270:        nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
                   6271:        
                   6272:        /*        nhstepm=nhstepm*YEARM; aff par mois*/
1.180     brouard  6273:        
1.183     brouard  6274:        p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6275:        oldm=oldms;savm=savms;
                   6276:        hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
                   6277:        fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
                   6278:        for(i=1; i<=nlstate;i++)
                   6279:          for(j=1; j<=nlstate+ndeath;j++)
                   6280:            fprintf(ficrespij," %1d-%1d",i,j);
                   6281:        fprintf(ficrespij,"\n");
                   6282:        for (h=0; h<=nhstepm; h++){
                   6283:          /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
                   6284:          fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
1.180     brouard  6285:          for(i=1; i<=nlstate;i++)
                   6286:            for(j=1; j<=nlstate+ndeath;j++)
1.183     brouard  6287:              fprintf(ficrespij," %.5f", p3mat[i][j][h]);
1.180     brouard  6288:          fprintf(ficrespij,"\n");
                   6289:        }
1.183     brouard  6290:        free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
                   6291:        fprintf(ficrespij,"\n");
                   6292:       }
1.180     brouard  6293:       /*}*/
                   6294:     }
1.184     brouard  6295:        return 0;
1.180     brouard  6296: }
                   6297: 
                   6298: 
1.136     brouard  6299: /***********************************************/
                   6300: /**************** Main Program *****************/
                   6301: /***********************************************/
                   6302: 
                   6303: int main(int argc, char *argv[])
                   6304: {
                   6305: #ifdef GSL
                   6306:   const gsl_multimin_fminimizer_type *T;
                   6307:   size_t iteri = 0, it;
                   6308:   int rval = GSL_CONTINUE;
                   6309:   int status = GSL_SUCCESS;
                   6310:   double ssval;
                   6311: #endif
                   6312:   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
1.164     brouard  6313:   int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
                   6314: 
                   6315:   int jj, ll, li, lj, lk;
1.136     brouard  6316:   int numlinepar=0; /* Current linenumber of parameter file */
1.197     brouard  6317:   int num_filled;
1.136     brouard  6318:   int itimes;
                   6319:   int NDIM=2;
                   6320:   int vpopbased=0;
                   6321: 
1.164     brouard  6322:   char ca[32], cb[32];
1.136     brouard  6323:   /*  FILE *fichtm; *//* Html File */
                   6324:   /* FILE *ficgp;*/ /*Gnuplot File */
                   6325:   struct stat info;
1.191     brouard  6326:   double agedeb=0.;
1.194     brouard  6327: 
                   6328:   double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
1.136     brouard  6329: 
1.165     brouard  6330:   double fret;
1.191     brouard  6331:   double dum=0.; /* Dummy variable */
1.136     brouard  6332:   double ***p3mat;
                   6333:   double ***mobaverage;
1.164     brouard  6334: 
                   6335:   char line[MAXLINE];
1.197     brouard  6336:   char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
                   6337: 
                   6338:   char model[MAXLINE], modeltemp[MAXLINE];
1.136     brouard  6339:   char pathr[MAXLINE], pathimach[MAXLINE]; 
1.164     brouard  6340:   char *tok, *val; /* pathtot */
1.136     brouard  6341:   int firstobs=1, lastobs=10;
1.195     brouard  6342:   int c,  h , cpt, c2;
1.191     brouard  6343:   int jl=0;
                   6344:   int i1, j1, jk, stepsize=0;
1.194     brouard  6345:   int count=0;
                   6346: 
1.164     brouard  6347:   int *tab; 
1.136     brouard  6348:   int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
                   6349:   int mobilav=0,popforecast=0;
1.191     brouard  6350:   int hstepm=0, nhstepm=0;
1.136     brouard  6351:   int agemortsup;
                   6352:   float  sumlpop=0.;
                   6353:   double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
                   6354:   double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
                   6355: 
1.191     brouard  6356:   double bage=0, fage=110., age, agelim=0., agebase=0.;
1.136     brouard  6357:   double ftolpl=FTOL;
                   6358:   double **prlim;
                   6359:   double ***param; /* Matrix of parameters */
                   6360:   double  *p;
                   6361:   double **matcov; /* Matrix of covariance */
                   6362:   double ***delti3; /* Scale */
                   6363:   double *delti; /* Scale */
                   6364:   double ***eij, ***vareij;
                   6365:   double **varpl; /* Variances of prevalence limits by age */
                   6366:   double *epj, vepp;
1.164     brouard  6367: 
1.136     brouard  6368:   double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
                   6369:   double **ximort;
1.145     brouard  6370:   char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
1.136     brouard  6371:   int *dcwave;
                   6372: 
1.164     brouard  6373:   char z[1]="c";
1.136     brouard  6374: 
                   6375:   /*char  *strt;*/
                   6376:   char strtend[80];
1.126     brouard  6377: 
1.164     brouard  6378: 
1.126     brouard  6379: /*   setlocale (LC_ALL, ""); */
                   6380: /*   bindtextdomain (PACKAGE, LOCALEDIR); */
                   6381: /*   textdomain (PACKAGE); */
                   6382: /*   setlocale (LC_CTYPE, ""); */
                   6383: /*   setlocale (LC_MESSAGES, ""); */
                   6384: 
                   6385:   /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
1.157     brouard  6386:   rstart_time = time(NULL);  
                   6387:   /*  (void) gettimeofday(&start_time,&tzp);*/
                   6388:   start_time = *localtime(&rstart_time);
1.126     brouard  6389:   curr_time=start_time;
1.157     brouard  6390:   /*tml = *localtime(&start_time.tm_sec);*/
                   6391:   /* strcpy(strstart,asctime(&tml)); */
                   6392:   strcpy(strstart,asctime(&start_time));
1.126     brouard  6393: 
                   6394: /*  printf("Localtime (at start)=%s",strstart); */
1.157     brouard  6395: /*  tp.tm_sec = tp.tm_sec +86400; */
                   6396: /*  tm = *localtime(&start_time.tm_sec); */
1.126     brouard  6397: /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
                   6398: /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
                   6399: /*   tmg.tm_hour=tmg.tm_hour + 1; */
1.157     brouard  6400: /*   tp.tm_sec = mktime(&tmg); */
1.126     brouard  6401: /*   strt=asctime(&tmg); */
                   6402: /*   printf("Time(after) =%s",strstart);  */
                   6403: /*  (void) time (&time_value);
                   6404: *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
                   6405: *  tm = *localtime(&time_value);
                   6406: *  strstart=asctime(&tm);
                   6407: *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
                   6408: */
                   6409: 
                   6410:   nberr=0; /* Number of errors and warnings */
                   6411:   nbwarn=0;
1.184     brouard  6412: #ifdef WIN32
                   6413:   _getcwd(pathcd, size);
                   6414: #else
1.126     brouard  6415:   getcwd(pathcd, size);
1.184     brouard  6416: #endif
1.191     brouard  6417:   syscompilerinfo(0);
1.196     brouard  6418:   printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
1.126     brouard  6419:   if(argc <=1){
                   6420:     printf("\nEnter the parameter file name: ");
                   6421:     fgets(pathr,FILENAMELENGTH,stdin);
                   6422:     i=strlen(pathr);
                   6423:     if(pathr[i-1]=='\n')
                   6424:       pathr[i-1]='\0';
1.156     brouard  6425:     i=strlen(pathr);
                   6426:     if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
                   6427:       pathr[i-1]='\0';
1.126     brouard  6428:    for (tok = pathr; tok != NULL; ){
                   6429:       printf("Pathr |%s|\n",pathr);
                   6430:       while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
                   6431:       printf("val= |%s| pathr=%s\n",val,pathr);
                   6432:       strcpy (pathtot, val);
                   6433:       if(pathr[0] == '\0') break; /* Dirty */
                   6434:     }
                   6435:   }
                   6436:   else{
                   6437:     strcpy(pathtot,argv[1]);
                   6438:   }
                   6439:   /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
                   6440:   /*cygwin_split_path(pathtot,path,optionfile);
                   6441:     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
                   6442:   /* cutv(path,optionfile,pathtot,'\\');*/
                   6443: 
                   6444:   /* Split argv[0], imach program to get pathimach */
                   6445:   printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
                   6446:   split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6447:   printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
                   6448:  /*   strcpy(pathimach,argv[0]); */
                   6449:   /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
                   6450:   split(pathtot,path,optionfile,optionfilext,optionfilefiname);
                   6451:   printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
1.184     brouard  6452: #ifdef WIN32
                   6453:   _chdir(path); /* Can be a relative path */
                   6454:   if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
                   6455: #else
1.126     brouard  6456:   chdir(path); /* Can be a relative path */
1.184     brouard  6457:   if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
                   6458: #endif
                   6459:   printf("Current directory %s!\n",pathcd);
1.126     brouard  6460:   strcpy(command,"mkdir ");
                   6461:   strcat(command,optionfilefiname);
                   6462:   if((outcmd=system(command)) != 0){
1.169     brouard  6463:     printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
1.126     brouard  6464:     /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
                   6465:     /* fclose(ficlog); */
                   6466: /*     exit(1); */
                   6467:   }
                   6468: /*   if((imk=mkdir(optionfilefiname))<0){ */
                   6469: /*     perror("mkdir"); */
                   6470: /*   } */
                   6471: 
                   6472:   /*-------- arguments in the command line --------*/
                   6473: 
1.186     brouard  6474:   /* Main Log file */
1.126     brouard  6475:   strcat(filelog, optionfilefiname);
                   6476:   strcat(filelog,".log");    /* */
                   6477:   if((ficlog=fopen(filelog,"w"))==NULL)    {
                   6478:     printf("Problem with logfile %s\n",filelog);
                   6479:     goto end;
                   6480:   }
                   6481:   fprintf(ficlog,"Log filename:%s\n",filelog);
1.197     brouard  6482:   fprintf(ficlog,"Version %s %s",version,fullversion);
1.126     brouard  6483:   fprintf(ficlog,"\nEnter the parameter file name: \n");
                   6484:   fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
                   6485:  path=%s \n\
                   6486:  optionfile=%s\n\
                   6487:  optionfilext=%s\n\
1.156     brouard  6488:  optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
1.126     brouard  6489: 
1.197     brouard  6490:   syscompilerinfo(1);
1.167     brouard  6491: 
1.126     brouard  6492:   printf("Local time (at start):%s",strstart);
                   6493:   fprintf(ficlog,"Local time (at start): %s",strstart);
                   6494:   fflush(ficlog);
                   6495: /*   (void) gettimeofday(&curr_time,&tzp); */
1.157     brouard  6496: /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
1.126     brouard  6497: 
                   6498:   /* */
                   6499:   strcpy(fileres,"r");
                   6500:   strcat(fileres, optionfilefiname);
                   6501:   strcat(fileres,".txt");    /* Other files have txt extension */
                   6502: 
1.186     brouard  6503:   /* Main ---------arguments file --------*/
1.126     brouard  6504: 
                   6505:   if((ficpar=fopen(optionfile,"r"))==NULL)    {
1.155     brouard  6506:     printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
                   6507:     fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
1.126     brouard  6508:     fflush(ficlog);
1.149     brouard  6509:     /* goto end; */
                   6510:     exit(70); 
1.126     brouard  6511:   }
                   6512: 
                   6513: 
                   6514: 
                   6515:   strcpy(filereso,"o");
                   6516:   strcat(filereso,fileres);
                   6517:   if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
                   6518:     printf("Problem with Output resultfile: %s\n", filereso);
                   6519:     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
                   6520:     fflush(ficlog);
                   6521:     goto end;
                   6522:   }
                   6523: 
                   6524:   /* Reads comments: lines beginning with '#' */
                   6525:   numlinepar=0;
1.197     brouard  6526: 
                   6527:     /* First parameter line */
                   6528:   while(fgets(line, MAXLINE, ficpar)) {
                   6529:     /* If line starts with a # it is a comment */
                   6530:     if (line[0] == '#') {
                   6531:       numlinepar++;
                   6532:       fputs(line,stdout);
                   6533:       fputs(line,ficparo);
                   6534:       fputs(line,ficlog);
                   6535:       continue;
                   6536:     }else
                   6537:       break;
                   6538:   }
                   6539:   if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                   6540:                        title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
                   6541:     if (num_filled != 5) {
                   6542:       printf("Should be 5 parameters\n");
                   6543:     }
1.126     brouard  6544:     numlinepar++;
1.197     brouard  6545:     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
                   6546:   }
                   6547:   /* Second parameter line */
                   6548:   while(fgets(line, MAXLINE, ficpar)) {
                   6549:     /* If line starts with a # it is a comment */
                   6550:     if (line[0] == '#') {
                   6551:       numlinepar++;
                   6552:       fputs(line,stdout);
                   6553:       fputs(line,ficparo);
                   6554:       fputs(line,ficlog);
                   6555:       continue;
                   6556:     }else
                   6557:       break;
                   6558:   }
                   6559:   if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                   6560:                        &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
                   6561:     if (num_filled != 8) {
                   6562:       printf("Not 8\n");
                   6563:     }
                   6564:     printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
1.126     brouard  6565:   }
                   6566: 
1.197     brouard  6567:   /* Third parameter line */
                   6568:   while(fgets(line, MAXLINE, ficpar)) {
                   6569:     /* If line starts with a # it is a comment */
                   6570:     if (line[0] == '#') {
                   6571:       numlinepar++;
                   6572:       fputs(line,stdout);
                   6573:       fputs(line,ficparo);
                   6574:       fputs(line,ficlog);
                   6575:       continue;
                   6576:     }else
                   6577:       break;
                   6578:   }
                   6579:   if((num_filled=sscanf(line,"model=1+age%[^.\n]\n", model)) !=EOF){
                   6580:     if (num_filled != 1) {
                   6581:       printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6582:       fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
                   6583:       model[0]='\0';
                   6584:       goto end;
                   6585:     }
                   6586:     else{
                   6587:       if (model[0]=='+'){
                   6588:        for(i=1; i<=strlen(model);i++)
                   6589:          modeltemp[i-1]=model[i];
                   6590:       }
                   6591:       strcpy(model,modeltemp); 
                   6592:     }
1.199     brouard  6593:     /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
1.197     brouard  6594:   }
                   6595:   /* 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); */
                   6596:   /* numlinepar=numlinepar+3; /\* In general *\/ */
                   6597:   /* printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); */
1.187     brouard  6598:   if(model[strlen(model)-1]=='.') /* Suppressing leading dot in the model */
                   6599:     model[strlen(model)-1]='\0';
1.197     brouard  6600:   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);
                   6601:   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  6602:   fflush(ficlog);
1.190     brouard  6603:   /* if(model[0]=='#'|| model[0]== '\0'){ */
                   6604:   if(model[0]=='#'){
1.187     brouard  6605:     printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
                   6606:  'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
                   6607:  'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");         \
                   6608:     if(mle != -1){
                   6609:       printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
                   6610:       exit(1);
                   6611:     }
                   6612:   }
1.126     brouard  6613:   while((c=getc(ficpar))=='#' && c!= EOF){
                   6614:     ungetc(c,ficpar);
                   6615:     fgets(line, MAXLINE, ficpar);
                   6616:     numlinepar++;
1.195     brouard  6617:     if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
                   6618:       z[0]=line[1];
                   6619:     }
                   6620:     /* printf("****line [1] = %c \n",line[1]); */
1.141     brouard  6621:     fputs(line, stdout);
                   6622:     //puts(line);
1.126     brouard  6623:     fputs(line,ficparo);
                   6624:     fputs(line,ficlog);
                   6625:   }
                   6626:   ungetc(c,ficpar);
                   6627: 
                   6628:    
1.145     brouard  6629:   covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
1.136     brouard  6630:   cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
                   6631:   /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
                   6632:      v1+v2*age+v2*v3 makes cptcovn = 3
                   6633:   */
                   6634:   if (strlen(model)>1) 
1.187     brouard  6635:     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  6636:   else
1.187     brouard  6637:     ncovmodel=2; /* Constant and age */
1.133     brouard  6638:   nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
                   6639:   npar= nforce*ncovmodel; /* Number of parameters like aij*/
1.131     brouard  6640:   if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
                   6641:     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);
                   6642:     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);
                   6643:     fflush(stdout);
                   6644:     fclose (ficlog);
                   6645:     goto end;
                   6646:   }
1.126     brouard  6647:   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6648:   delti=delti3[1][1];
                   6649:   /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
                   6650:   if(mle==-1){ /* Print a wizard for help writing covariance matrix */
                   6651:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.191     brouard  6652:     printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
                   6653:     fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  6654:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   6655:     fclose (ficparo);
                   6656:     fclose (ficlog);
                   6657:     goto end;
                   6658:     exit(0);
                   6659:   }
1.186     brouard  6660:   else if(mle==-3) { /* Main Wizard */
1.126     brouard  6661:     prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
1.192     brouard  6662:     printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
                   6663:     fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
1.126     brouard  6664:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6665:     matcov=matrix(1,npar,1,npar);
                   6666:   }
                   6667:   else{
1.145     brouard  6668:     /* Read guessed parameters */
1.126     brouard  6669:     /* Reads comments: lines beginning with '#' */
                   6670:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6671:       ungetc(c,ficpar);
                   6672:       fgets(line, MAXLINE, ficpar);
                   6673:       numlinepar++;
1.141     brouard  6674:       fputs(line,stdout);
1.126     brouard  6675:       fputs(line,ficparo);
                   6676:       fputs(line,ficlog);
                   6677:     }
                   6678:     ungetc(c,ficpar);
                   6679:     
                   6680:     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
                   6681:     for(i=1; i <=nlstate; i++){
                   6682:       j=0;
                   6683:       for(jj=1; jj <=nlstate+ndeath; jj++){
                   6684:        if(jj==i) continue;
                   6685:        j++;
                   6686:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.193     brouard  6687:        if ((i1 != i) || (j1 != jj)){
1.126     brouard  6688:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
                   6689: It might be a problem of design; if ncovcol and the model are correct\n \
                   6690: run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
                   6691:          exit(1);
                   6692:        }
                   6693:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6694:        if(mle==1)
1.193     brouard  6695:          printf("%1d%1d",i,jj);
                   6696:        fprintf(ficlog,"%1d%1d",i,jj);
1.126     brouard  6697:        for(k=1; k<=ncovmodel;k++){
                   6698:          fscanf(ficpar," %lf",&param[i][j][k]);
                   6699:          if(mle==1){
                   6700:            printf(" %lf",param[i][j][k]);
                   6701:            fprintf(ficlog," %lf",param[i][j][k]);
                   6702:          }
                   6703:          else
                   6704:            fprintf(ficlog," %lf",param[i][j][k]);
                   6705:          fprintf(ficparo," %lf",param[i][j][k]);
                   6706:        }
                   6707:        fscanf(ficpar,"\n");
                   6708:        numlinepar++;
                   6709:        if(mle==1)
                   6710:          printf("\n");
                   6711:        fprintf(ficlog,"\n");
                   6712:        fprintf(ficparo,"\n");
                   6713:       }
                   6714:     }  
                   6715:     fflush(ficlog);
                   6716: 
1.145     brouard  6717:     /* Reads scales values */
1.126     brouard  6718:     p=param[1][1];
                   6719:     
                   6720:     /* Reads comments: lines beginning with '#' */
                   6721:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6722:       ungetc(c,ficpar);
                   6723:       fgets(line, MAXLINE, ficpar);
                   6724:       numlinepar++;
1.141     brouard  6725:       fputs(line,stdout);
1.126     brouard  6726:       fputs(line,ficparo);
                   6727:       fputs(line,ficlog);
                   6728:     }
                   6729:     ungetc(c,ficpar);
                   6730: 
                   6731:     for(i=1; i <=nlstate; i++){
                   6732:       for(j=1; j <=nlstate+ndeath-1; j++){
                   6733:        fscanf(ficpar,"%1d%1d",&i1,&j1);
1.164     brouard  6734:        if ( (i1-i) * (j1-j) != 0){
1.126     brouard  6735:          printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
                   6736:          exit(1);
                   6737:        }
                   6738:        printf("%1d%1d",i,j);
                   6739:        fprintf(ficparo,"%1d%1d",i1,j1);
                   6740:        fprintf(ficlog,"%1d%1d",i1,j1);
                   6741:        for(k=1; k<=ncovmodel;k++){
                   6742:          fscanf(ficpar,"%le",&delti3[i][j][k]);
                   6743:          printf(" %le",delti3[i][j][k]);
                   6744:          fprintf(ficparo," %le",delti3[i][j][k]);
                   6745:          fprintf(ficlog," %le",delti3[i][j][k]);
                   6746:        }
                   6747:        fscanf(ficpar,"\n");
                   6748:        numlinepar++;
                   6749:        printf("\n");
                   6750:        fprintf(ficparo,"\n");
                   6751:        fprintf(ficlog,"\n");
                   6752:       }
                   6753:     }
                   6754:     fflush(ficlog);
                   6755: 
1.145     brouard  6756:     /* Reads covariance matrix */
1.126     brouard  6757:     delti=delti3[1][1];
                   6758: 
                   6759: 
                   6760:     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
                   6761:   
                   6762:     /* Reads comments: lines beginning with '#' */
                   6763:     while((c=getc(ficpar))=='#' && c!= EOF){
                   6764:       ungetc(c,ficpar);
                   6765:       fgets(line, MAXLINE, ficpar);
                   6766:       numlinepar++;
1.141     brouard  6767:       fputs(line,stdout);
1.126     brouard  6768:       fputs(line,ficparo);
                   6769:       fputs(line,ficlog);
                   6770:     }
                   6771:     ungetc(c,ficpar);
                   6772:   
                   6773:     matcov=matrix(1,npar,1,npar);
1.131     brouard  6774:     for(i=1; i <=npar; i++)
                   6775:       for(j=1; j <=npar; j++) matcov[i][j]=0.;
                   6776:       
1.194     brouard  6777:     /* Scans npar lines */
1.126     brouard  6778:     for(i=1; i <=npar; i++){
1.194     brouard  6779:       count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
                   6780:       if(count != 3){
                   6781:        printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   6782: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   6783: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   6784:        fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
                   6785: This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
                   6786: Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
                   6787:        exit(1);
                   6788:       }else
1.126     brouard  6789:       if(mle==1)
1.194     brouard  6790:        printf("%1d%1d%1d",i1,j1,jk);
                   6791:       fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
                   6792:       fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
1.126     brouard  6793:       for(j=1; j <=i; j++){
                   6794:        fscanf(ficpar," %le",&matcov[i][j]);
                   6795:        if(mle==1){
                   6796:          printf(" %.5le",matcov[i][j]);
                   6797:        }
                   6798:        fprintf(ficlog," %.5le",matcov[i][j]);
                   6799:        fprintf(ficparo," %.5le",matcov[i][j]);
                   6800:       }
                   6801:       fscanf(ficpar,"\n");
                   6802:       numlinepar++;
                   6803:       if(mle==1)
                   6804:        printf("\n");
                   6805:       fprintf(ficlog,"\n");
                   6806:       fprintf(ficparo,"\n");
                   6807:     }
1.194     brouard  6808:     /* End of read covariance matrix npar lines */
1.126     brouard  6809:     for(i=1; i <=npar; i++)
                   6810:       for(j=i+1;j<=npar;j++)
                   6811:        matcov[i][j]=matcov[j][i];
                   6812:     
                   6813:     if(mle==1)
                   6814:       printf("\n");
                   6815:     fprintf(ficlog,"\n");
                   6816:     
                   6817:     fflush(ficlog);
                   6818:     
                   6819:     /*-------- Rewriting parameter file ----------*/
                   6820:     strcpy(rfileres,"r");    /* "Rparameterfile */
                   6821:     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
                   6822:     strcat(rfileres,".");    /* */
                   6823:     strcat(rfileres,optionfilext);    /* Other files have txt extension */
                   6824:     if((ficres =fopen(rfileres,"w"))==NULL) {
                   6825:       printf("Problem writing new parameter file: %s\n", fileres);goto end;
                   6826:       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
                   6827:     }
                   6828:     fprintf(ficres,"#%s\n",version);
                   6829:   }    /* End of mle != -3 */
                   6830: 
1.186     brouard  6831:   /*  Main data
                   6832:    */
1.126     brouard  6833:   n= lastobs;
                   6834:   num=lvector(1,n);
                   6835:   moisnais=vector(1,n);
                   6836:   annais=vector(1,n);
                   6837:   moisdc=vector(1,n);
                   6838:   andc=vector(1,n);
                   6839:   agedc=vector(1,n);
                   6840:   cod=ivector(1,n);
                   6841:   weight=vector(1,n);
                   6842:   for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
                   6843:   mint=matrix(1,maxwav,1,n);
                   6844:   anint=matrix(1,maxwav,1,n);
1.131     brouard  6845:   s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
1.126     brouard  6846:   tab=ivector(1,NCOVMAX);
1.144     brouard  6847:   ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.192     brouard  6848:   ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
1.126     brouard  6849: 
1.136     brouard  6850:   /* Reads data from file datafile */
                   6851:   if (readdata(datafile, firstobs, lastobs, &imx)==1)
                   6852:     goto end;
                   6853: 
                   6854:   /* Calculation of the number of parameters from char model */
1.137     brouard  6855:     /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
                   6856:        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
                   6857:        k=3 V4 Tvar[k=3]= 4 (from V4)
                   6858:        k=2 V1 Tvar[k=2]= 1 (from V1)
                   6859:        k=1 Tvar[1]=2 (from V2)
                   6860:     */
                   6861:   Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
                   6862:   /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
                   6863:       For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
                   6864:       Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
                   6865:   */
                   6866:   /* For model-covariate k tells which data-covariate to use but
                   6867:     because this model-covariate is a construction we invent a new column
                   6868:     ncovcol + k1
                   6869:     If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
                   6870:     Tvar[3=V1*V4]=4+1 etc */
1.145     brouard  6871:   Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
1.137     brouard  6872:   /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
                   6873:      if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
                   6874:   */
1.145     brouard  6875:   Tvaraff=ivector(1,NCOVMAX); /* Unclear */
                   6876:   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  6877:                            * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                   6878:                            * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
1.145     brouard  6879:   Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
1.137     brouard  6880:                         4 covariates (3 plus signs)
                   6881:                         Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                   6882:                      */  
1.136     brouard  6883: 
1.186     brouard  6884: /* Main decodemodel */
                   6885: 
1.187     brouard  6886: 
1.136     brouard  6887:   if(decodemodel(model, lastobs) == 1)
                   6888:     goto end;
                   6889: 
1.137     brouard  6890:   if((double)(lastobs-imx)/(double)imx > 1.10){
                   6891:     nbwarn++;
                   6892:     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); 
                   6893:     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); 
                   6894:   }
1.136     brouard  6895:     /*  if(mle==1){*/
1.137     brouard  6896:   if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
                   6897:     for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
1.136     brouard  6898:   }
                   6899: 
                   6900:     /*-calculation of age at interview from date of interview and age at death -*/
                   6901:   agev=matrix(1,maxwav,1,imx);
                   6902: 
                   6903:   if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
                   6904:     goto end;
                   6905: 
1.126     brouard  6906: 
1.136     brouard  6907:   agegomp=(int)agemin;
                   6908:   free_vector(moisnais,1,n);
                   6909:   free_vector(annais,1,n);
1.126     brouard  6910:   /* free_matrix(mint,1,maxwav,1,n);
                   6911:      free_matrix(anint,1,maxwav,1,n);*/
                   6912:   free_vector(moisdc,1,n);
                   6913:   free_vector(andc,1,n);
1.145     brouard  6914:   /* */
                   6915:   
1.126     brouard  6916:   wav=ivector(1,imx);
                   6917:   dh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6918:   bh=imatrix(1,lastpass-firstpass+1,1,imx);
                   6919:   mw=imatrix(1,lastpass-firstpass+1,1,imx);
                   6920:    
                   6921:   /* Concatenates waves */
                   6922:   concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
1.145     brouard  6923:   /* */
                   6924:  
1.126     brouard  6925:   /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
                   6926: 
                   6927:   nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
                   6928:   ncodemax[1]=1;
1.145     brouard  6929:   Ndum =ivector(-1,NCOVMAX);  
1.187     brouard  6930:   if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
1.145     brouard  6931:     tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
1.186     brouard  6932:   /* Nbcode gives the value of the lth modality of jth covariate, in
                   6933:      V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
                   6934:   /* 1 to ncodemax[j] is the maximum value of this jth covariate */
1.145     brouard  6935: 
1.200   ! brouard  6936:   /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
1.198     brouard  6937:   /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
1.186     brouard  6938:   /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
1.145     brouard  6939:   h=0;
                   6940: 
                   6941: 
                   6942:   /*if (cptcovn > 0) */
1.126     brouard  6943:       
1.145     brouard  6944:  
1.126     brouard  6945:   m=pow(2,cptcoveff);
                   6946:  
1.144     brouard  6947:          /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
1.186     brouard  6948:           * For k=4 covariates, h goes from 1 to 2**k
                   6949:           * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
                   6950:           *     h\k   1     2     3     4
1.143     brouard  6951:           *______________________________  
                   6952:           *     1 i=1 1 i=1 1 i=1 1 i=1 1
                   6953:           *     2     2     1     1     1
                   6954:           *     3 i=2 1     2     1     1
                   6955:           *     4     2     2     1     1
                   6956:           *     5 i=3 1 i=2 1     2     1
                   6957:           *     6     2     1     2     1
                   6958:           *     7 i=4 1     2     2     1
                   6959:           *     8     2     2     2     1
1.197     brouard  6960:           *     9 i=5 1 i=3 1 i=2 1     2
                   6961:           *    10     2     1     1     2
                   6962:           *    11 i=6 1     2     1     2
                   6963:           *    12     2     2     1     2
                   6964:           *    13 i=7 1 i=4 1     2     2    
                   6965:           *    14     2     1     2     2
                   6966:           *    15 i=8 1     2     2     2
                   6967:           *    16     2     2     2     2
1.143     brouard  6968:           */
1.197     brouard  6969:   for(h=1; h <=100 ;h++){ 
                   6970:     /* printf("h=%2d ", h); */
1.200   ! brouard  6971:      /* for(k=1; k <=10; k++){ */
1.197     brouard  6972:        /* printf("k=%d %d ",k,codtabm(h,k)); */
1.200   ! brouard  6973:      /*   codtab[h][k]=codtabm(h,k); */
        !          6974:      /* } */
1.197     brouard  6975:      /* printf("\n"); */
                   6976:   }
                   6977:   /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
                   6978:   /*   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 *\/  */
                   6979:   /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
                   6980:   /*   for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
                   6981:   /*     h++; */
                   6982:   /*     if (h>m)  */
                   6983:   /*       h=1; */
                   6984:   /*     codtab[h][k]=j; */
                   6985:   /*     /\* codtab[12][3]=1; *\/ */
                   6986:   /*     /\*codtab[h][Tvar[k]]=j;*\/ */
                   6987:   /*     /\* 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]]); *\/ */
                   6988:   /*   }  */
                   6989:   /*     } */
                   6990:   /*   } */
                   6991:   /* }  */
1.126     brouard  6992:   /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
                   6993:      codtab[1][2]=1;codtab[2][2]=2; */
1.197     brouard  6994:   /* for(i=1; i <=m ;i++){  */
                   6995:   /*    for(k=1; k <=cptcovn; k++){ */
                   6996:   /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
                   6997:   /*    } */
                   6998:   /*    printf("\n"); */
                   6999:   /* } */
                   7000:   /*   scanf("%d",i);*/
1.145     brouard  7001: 
                   7002:  free_ivector(Ndum,-1,NCOVMAX);
                   7003: 
                   7004: 
1.126     brouard  7005:     
1.186     brouard  7006:   /* Initialisation of ----------- gnuplot -------------*/
1.126     brouard  7007:   strcpy(optionfilegnuplot,optionfilefiname);
                   7008:   if(mle==-3)
                   7009:     strcat(optionfilegnuplot,"-mort");
                   7010:   strcat(optionfilegnuplot,".gp");
                   7011: 
                   7012:   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
                   7013:     printf("Problem with file %s",optionfilegnuplot);
                   7014:   }
                   7015:   else{
                   7016:     fprintf(ficgp,"\n# %s\n", version); 
                   7017:     fprintf(ficgp,"# %s\n", optionfilegnuplot); 
1.141     brouard  7018:     //fprintf(ficgp,"set missing 'NaNq'\n");
                   7019:     fprintf(ficgp,"set datafile missing 'NaNq'\n");
1.126     brouard  7020:   }
                   7021:   /*  fclose(ficgp);*/
1.186     brouard  7022: 
                   7023: 
                   7024:   /* Initialisation of --------- index.htm --------*/
1.126     brouard  7025: 
                   7026:   strcpy(optionfilehtm,optionfilefiname); /* Main html file */
                   7027:   if(mle==-3)
                   7028:     strcat(optionfilehtm,"-mort");
                   7029:   strcat(optionfilehtm,".htm");
                   7030:   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
1.131     brouard  7031:     printf("Problem with %s \n",optionfilehtm);
                   7032:     exit(0);
1.126     brouard  7033:   }
                   7034: 
                   7035:   strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
                   7036:   strcat(optionfilehtmcov,"-cov.htm");
                   7037:   if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
                   7038:     printf("Problem with %s \n",optionfilehtmcov), exit(0);
                   7039:   }
                   7040:   else{
                   7041:   fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7042: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7043: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
                   7044:          optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
                   7045:   }
                   7046: 
                   7047:   fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
                   7048: <hr size=\"2\" color=\"#EC5E5E\"> \n\
                   7049: Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
                   7050: \n\
                   7051: <hr  size=\"2\" color=\"#EC5E5E\">\
                   7052:  <ul><li><h4>Parameter files</h4>\n\
                   7053:  - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
                   7054:  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
                   7055:  - Log file of the run: <a href=\"%s\">%s</a><br>\n\
                   7056:  - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
                   7057:  - Date and time at start: %s</ul>\n",\
                   7058:          optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
                   7059:          optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
                   7060:          fileres,fileres,\
                   7061:          filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
                   7062:   fflush(fichtm);
                   7063: 
                   7064:   strcpy(pathr,path);
                   7065:   strcat(pathr,optionfilefiname);
1.184     brouard  7066: #ifdef WIN32
                   7067:   _chdir(optionfilefiname); /* Move to directory named optionfile */
                   7068: #else
1.126     brouard  7069:   chdir(optionfilefiname); /* Move to directory named optionfile */
1.184     brouard  7070: #endif
                   7071:          
1.126     brouard  7072:   
                   7073:   /* Calculates basic frequencies. Computes observed prevalence at single age
                   7074:      and prints on file fileres'p'. */
                   7075:   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
                   7076: 
                   7077:   fprintf(fichtm,"\n");
                   7078:   fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
                   7079: Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
                   7080: Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
                   7081:          imx,agemin,agemax,jmin,jmax,jmean);
                   7082:   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7083:     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7084:     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7085:     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
                   7086:     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
                   7087:     
                   7088:    
                   7089:   /* For Powell, parameters are in a vector p[] starting at p[1]
                   7090:      so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
                   7091:   p=param[1][1]; /* *(*(*(param +1)+1)+0) */
                   7092: 
                   7093:   globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
1.186     brouard  7094:   /* For mortality only */
1.126     brouard  7095:   if (mle==-3){
1.136     brouard  7096:     ximort=matrix(1,NDIM,1,NDIM); 
1.186     brouard  7097:     /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
1.126     brouard  7098:     cens=ivector(1,n);
                   7099:     ageexmed=vector(1,n);
                   7100:     agecens=vector(1,n);
                   7101:     dcwave=ivector(1,n);
                   7102:  
                   7103:     for (i=1; i<=imx; i++){
                   7104:       dcwave[i]=-1;
                   7105:       for (m=firstpass; m<=lastpass; m++)
                   7106:        if (s[m][i]>nlstate) {
                   7107:          dcwave[i]=m;
                   7108:          /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
                   7109:          break;
                   7110:        }
                   7111:     }
                   7112: 
                   7113:     for (i=1; i<=imx; i++) {
                   7114:       if (wav[i]>0){
                   7115:        ageexmed[i]=agev[mw[1][i]][i];
                   7116:        j=wav[i];
                   7117:        agecens[i]=1.; 
                   7118: 
                   7119:        if (ageexmed[i]> 1 && wav[i] > 0){
                   7120:          agecens[i]=agev[mw[j][i]][i];
                   7121:          cens[i]= 1;
                   7122:        }else if (ageexmed[i]< 1) 
                   7123:          cens[i]= -1;
                   7124:        if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
                   7125:          cens[i]=0 ;
                   7126:       }
                   7127:       else cens[i]=-1;
                   7128:     }
                   7129:     
                   7130:     for (i=1;i<=NDIM;i++) {
                   7131:       for (j=1;j<=NDIM;j++)
                   7132:        ximort[i][j]=(i == j ? 1.0 : 0.0);
                   7133:     }
                   7134:     
1.145     brouard  7135:     /*p[1]=0.0268; p[NDIM]=0.083;*/
1.126     brouard  7136:     /*printf("%lf %lf", p[1], p[2]);*/
                   7137:     
                   7138:     
1.136     brouard  7139: #ifdef GSL
                   7140:     printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
1.162     brouard  7141: #else
1.126     brouard  7142:     printf("Powell\n");  fprintf(ficlog,"Powell\n");
1.136     brouard  7143: #endif
1.126     brouard  7144:     strcpy(filerespow,"pow-mort"); 
                   7145:     strcat(filerespow,fileres);
                   7146:     if((ficrespow=fopen(filerespow,"w"))==NULL) {
                   7147:       printf("Problem with resultfile: %s\n", filerespow);
                   7148:       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
                   7149:     }
1.136     brouard  7150: #ifdef GSL
                   7151:     fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
1.162     brouard  7152: #else
1.126     brouard  7153:     fprintf(ficrespow,"# Powell\n# iter -2*LL");
1.136     brouard  7154: #endif
1.126     brouard  7155:     /*  for (i=1;i<=nlstate;i++)
                   7156:        for(j=1;j<=nlstate+ndeath;j++)
                   7157:        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
                   7158:     */
                   7159:     fprintf(ficrespow,"\n");
1.136     brouard  7160: #ifdef GSL
                   7161:     /* gsl starts here */ 
                   7162:     T = gsl_multimin_fminimizer_nmsimplex;
                   7163:     gsl_multimin_fminimizer *sfm = NULL;
                   7164:     gsl_vector *ss, *x;
                   7165:     gsl_multimin_function minex_func;
                   7166: 
                   7167:     /* Initial vertex size vector */
                   7168:     ss = gsl_vector_alloc (NDIM);
                   7169:     
                   7170:     if (ss == NULL){
                   7171:       GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
                   7172:     }
                   7173:     /* Set all step sizes to 1 */
                   7174:     gsl_vector_set_all (ss, 0.001);
                   7175: 
                   7176:     /* Starting point */
1.126     brouard  7177:     
1.136     brouard  7178:     x = gsl_vector_alloc (NDIM);
                   7179:     
                   7180:     if (x == NULL){
                   7181:       gsl_vector_free(ss);
                   7182:       GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
                   7183:     }
                   7184:   
                   7185:     /* Initialize method and iterate */
                   7186:     /*     p[1]=0.0268; p[NDIM]=0.083; */
1.186     brouard  7187:     /*     gsl_vector_set(x, 0, 0.0268); */
                   7188:     /*     gsl_vector_set(x, 1, 0.083); */
1.136     brouard  7189:     gsl_vector_set(x, 0, p[1]);
                   7190:     gsl_vector_set(x, 1, p[2]);
                   7191: 
                   7192:     minex_func.f = &gompertz_f;
                   7193:     minex_func.n = NDIM;
                   7194:     minex_func.params = (void *)&p; /* ??? */
                   7195:     
                   7196:     sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
                   7197:     gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
                   7198:     
                   7199:     printf("Iterations beginning .....\n\n");
                   7200:     printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
                   7201: 
                   7202:     iteri=0;
                   7203:     while (rval == GSL_CONTINUE){
                   7204:       iteri++;
                   7205:       status = gsl_multimin_fminimizer_iterate(sfm);
                   7206:       
                   7207:       if (status) printf("error: %s\n", gsl_strerror (status));
                   7208:       fflush(0);
                   7209:       
                   7210:       if (status) 
                   7211:         break;
                   7212:       
                   7213:       rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
                   7214:       ssval = gsl_multimin_fminimizer_size (sfm);
                   7215:       
                   7216:       if (rval == GSL_SUCCESS)
                   7217:         printf ("converged to a local maximum at\n");
                   7218:       
                   7219:       printf("%5d ", iteri);
                   7220:       for (it = 0; it < NDIM; it++){
                   7221:        printf ("%10.5f ", gsl_vector_get (sfm->x, it));
                   7222:       }
                   7223:       printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
                   7224:     }
                   7225:     
                   7226:     printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
                   7227:     
                   7228:     gsl_vector_free(x); /* initial values */
                   7229:     gsl_vector_free(ss); /* inital step size */
                   7230:     for (it=0; it<NDIM; it++){
                   7231:       p[it+1]=gsl_vector_get(sfm->x,it);
                   7232:       fprintf(ficrespow," %.12lf", p[it]);
                   7233:     }
                   7234:     gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
                   7235: #endif
                   7236: #ifdef POWELL
                   7237:      powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
                   7238: #endif  
1.126     brouard  7239:     fclose(ficrespow);
                   7240:     
                   7241:     hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
                   7242: 
                   7243:     for(i=1; i <=NDIM; i++)
                   7244:       for(j=i+1;j<=NDIM;j++)
                   7245:        matcov[i][j]=matcov[j][i];
                   7246:     
                   7247:     printf("\nCovariance matrix\n ");
                   7248:     for(i=1; i <=NDIM; i++) {
                   7249:       for(j=1;j<=NDIM;j++){ 
                   7250:        printf("%f ",matcov[i][j]);
                   7251:       }
                   7252:       printf("\n ");
                   7253:     }
                   7254:     
                   7255:     printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
1.193     brouard  7256:     for (i=1;i<=NDIM;i++) {
1.126     brouard  7257:       printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
1.193     brouard  7258:       fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
                   7259:     }
1.126     brouard  7260:     lsurv=vector(1,AGESUP);
                   7261:     lpop=vector(1,AGESUP);
                   7262:     tpop=vector(1,AGESUP);
                   7263:     lsurv[agegomp]=100000;
                   7264:     
                   7265:     for (k=agegomp;k<=AGESUP;k++) {
                   7266:       agemortsup=k;
                   7267:       if (p[1]*exp(p[2]*(k-agegomp))>1) break;
                   7268:     }
                   7269:     
                   7270:     for (k=agegomp;k<agemortsup;k++)
                   7271:       lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
                   7272:     
                   7273:     for (k=agegomp;k<agemortsup;k++){
                   7274:       lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
                   7275:       sumlpop=sumlpop+lpop[k];
                   7276:     }
                   7277:     
                   7278:     tpop[agegomp]=sumlpop;
                   7279:     for (k=agegomp;k<(agemortsup-3);k++){
                   7280:       /*  tpop[k+1]=2;*/
                   7281:       tpop[k+1]=tpop[k]-lpop[k];
                   7282:     }
                   7283:     
                   7284:     
                   7285:     printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
                   7286:     for (k=agegomp;k<(agemortsup-2);k++) 
                   7287:       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]);
                   7288:     
                   7289:     
                   7290:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7291:     if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
                   7292:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7293: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7294: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7295:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7296: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7297: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7298:     }else
                   7299:       printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7300:     printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                   7301:                     stepm, weightopt,\
                   7302:                     model,imx,p,matcov,agemortsup);
                   7303:     
                   7304:     free_vector(lsurv,1,AGESUP);
                   7305:     free_vector(lpop,1,AGESUP);
                   7306:     free_vector(tpop,1,AGESUP);
1.136     brouard  7307: #ifdef GSL
                   7308:     free_ivector(cens,1,n);
                   7309:     free_vector(agecens,1,n);
                   7310:     free_ivector(dcwave,1,n);
                   7311:     free_matrix(ximort,1,NDIM,1,NDIM);
                   7312: #endif
1.186     brouard  7313:   } /* Endof if mle==-3 mortality only */
                   7314:   /* Standard maximisation */
1.126     brouard  7315:   else{ /* For mle >=1 */
1.132     brouard  7316:     globpr=0;/* debug */
1.186     brouard  7317:     /* Computes likelihood for initial parameters */
1.132     brouard  7318:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
1.126     brouard  7319:     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7320:     for (k=1; k<=npar;k++)
                   7321:       printf(" %d %8.5f",k,p[k]);
                   7322:     printf("\n");
1.186     brouard  7323:     globpr=1; /* again, to print the contributions */
1.126     brouard  7324:     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
                   7325:     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
                   7326:     for (k=1; k<=npar;k++)
                   7327:       printf(" %d %8.5f",k,p[k]);
                   7328:     printf("\n");
1.186     brouard  7329:     if(mle>=1){ /* Could be 1 or 2, Real Maximisation */
1.126     brouard  7330:       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
                   7331:     }
                   7332:     
                   7333:     /*--------- results files --------------*/
1.192     brouard  7334:     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  7335:     
                   7336:     
                   7337:     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7338:     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7339:     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
                   7340:     for(i=1,jk=1; i <=nlstate; i++){
                   7341:       for(k=1; k <=(nlstate+ndeath); k++){
                   7342:        if (k != i) {
                   7343:          printf("%d%d ",i,k);
                   7344:          fprintf(ficlog,"%d%d ",i,k);
                   7345:          fprintf(ficres,"%1d%1d ",i,k);
                   7346:          for(j=1; j <=ncovmodel; j++){
1.190     brouard  7347:            printf("%12.7f ",p[jk]);
                   7348:            fprintf(ficlog,"%12.7f ",p[jk]);
                   7349:            fprintf(ficres,"%12.7f ",p[jk]);
1.126     brouard  7350:            jk++; 
                   7351:          }
                   7352:          printf("\n");
                   7353:          fprintf(ficlog,"\n");
                   7354:          fprintf(ficres,"\n");
                   7355:        }
                   7356:       }
                   7357:     }
                   7358:     if(mle!=0){
                   7359:       /* Computing hessian and covariance matrix */
                   7360:       ftolhess=ftol; /* Usually correct */
                   7361:       hesscov(matcov, p, npar, delti, ftolhess, func);
                   7362:     }
1.197     brouard  7363:     printf("Parameters and 95%% confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W .\n But be careful that parameters are highly correlated because incidence of disability is highly correlated to incidence of recovery.\n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
                   7364:     fprintf(ficlog, "Parameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n  It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
1.193     brouard  7365:     for(i=1,jk=1; i <=nlstate; i++){
                   7366:       for(k=1; k <=(nlstate+ndeath); k++){
                   7367:        if (k != i) {
                   7368:          printf("%d%d ",i,k);
                   7369:          fprintf(ficlog,"%d%d ",i,k);
                   7370:          for(j=1; j <=ncovmodel; j++){
1.197     brouard  7371:            printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
                   7372:            fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
1.193     brouard  7373:            jk++; 
                   7374:          }
                   7375:          printf("\n");
                   7376:          fprintf(ficlog,"\n");
                   7377:        }
                   7378:       }
                   7379:     }
                   7380: 
1.126     brouard  7381:     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
                   7382:     printf("# Scales (for hessian or gradient estimation)\n");
                   7383:     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
                   7384:     for(i=1,jk=1; i <=nlstate; i++){
                   7385:       for(j=1; j <=nlstate+ndeath; j++){
                   7386:        if (j!=i) {
                   7387:          fprintf(ficres,"%1d%1d",i,j);
                   7388:          printf("%1d%1d",i,j);
                   7389:          fprintf(ficlog,"%1d%1d",i,j);
                   7390:          for(k=1; k<=ncovmodel;k++){
                   7391:            printf(" %.5e",delti[jk]);
                   7392:            fprintf(ficlog," %.5e",delti[jk]);
                   7393:            fprintf(ficres," %.5e",delti[jk]);
                   7394:            jk++;
                   7395:          }
                   7396:          printf("\n");
                   7397:          fprintf(ficlog,"\n");
                   7398:          fprintf(ficres,"\n");
                   7399:        }
                   7400:       }
                   7401:     }
                   7402:     
                   7403:     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");
                   7404:     if(mle>=1)
                   7405:       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");
                   7406:     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");
                   7407:     /* # 121 Var(a12)\n\ */
                   7408:     /* # 122 Cov(b12,a12) Var(b12)\n\ */
                   7409:     /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
                   7410:     /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
                   7411:     /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
                   7412:     /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
                   7413:     /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
                   7414:     /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
                   7415:     
                   7416:     
                   7417:     /* Just to have a covariance matrix which will be more understandable
                   7418:        even is we still don't want to manage dictionary of variables
                   7419:     */
                   7420:     for(itimes=1;itimes<=2;itimes++){
                   7421:       jj=0;
                   7422:       for(i=1; i <=nlstate; i++){
                   7423:        for(j=1; j <=nlstate+ndeath; j++){
                   7424:          if(j==i) continue;
                   7425:          for(k=1; k<=ncovmodel;k++){
                   7426:            jj++;
                   7427:            ca[0]= k+'a'-1;ca[1]='\0';
                   7428:            if(itimes==1){
                   7429:              if(mle>=1)
                   7430:                printf("#%1d%1d%d",i,j,k);
                   7431:              fprintf(ficlog,"#%1d%1d%d",i,j,k);
                   7432:              fprintf(ficres,"#%1d%1d%d",i,j,k);
                   7433:            }else{
                   7434:              if(mle>=1)
                   7435:                printf("%1d%1d%d",i,j,k);
                   7436:              fprintf(ficlog,"%1d%1d%d",i,j,k);
                   7437:              fprintf(ficres,"%1d%1d%d",i,j,k);
                   7438:            }
                   7439:            ll=0;
                   7440:            for(li=1;li <=nlstate; li++){
                   7441:              for(lj=1;lj <=nlstate+ndeath; lj++){
                   7442:                if(lj==li) continue;
                   7443:                for(lk=1;lk<=ncovmodel;lk++){
                   7444:                  ll++;
                   7445:                  if(ll<=jj){
                   7446:                    cb[0]= lk +'a'-1;cb[1]='\0';
                   7447:                    if(ll<jj){
                   7448:                      if(itimes==1){
                   7449:                        if(mle>=1)
                   7450:                          printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7451:                        fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7452:                        fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                   7453:                      }else{
                   7454:                        if(mle>=1)
                   7455:                          printf(" %.5e",matcov[jj][ll]); 
                   7456:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7457:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7458:                      }
                   7459:                    }else{
                   7460:                      if(itimes==1){
                   7461:                        if(mle>=1)
                   7462:                          printf(" Var(%s%1d%1d)",ca,i,j);
                   7463:                        fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                   7464:                        fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                   7465:                      }else{
                   7466:                        if(mle>=1)
                   7467:                          printf(" %.5e",matcov[jj][ll]); 
                   7468:                        fprintf(ficlog," %.5e",matcov[jj][ll]); 
                   7469:                        fprintf(ficres," %.5e",matcov[jj][ll]); 
                   7470:                      }
                   7471:                    }
                   7472:                  }
                   7473:                } /* end lk */
                   7474:              } /* end lj */
                   7475:            } /* end li */
                   7476:            if(mle>=1)
                   7477:              printf("\n");
                   7478:            fprintf(ficlog,"\n");
                   7479:            fprintf(ficres,"\n");
                   7480:            numlinepar++;
                   7481:          } /* end k*/
                   7482:        } /*end j */
                   7483:       } /* end i */
                   7484:     } /* end itimes */
                   7485:     
                   7486:     fflush(ficlog);
                   7487:     fflush(ficres);
                   7488:     
                   7489:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7490:       ungetc(c,ficpar);
                   7491:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7492:       fputs(line,stdout);
1.126     brouard  7493:       fputs(line,ficparo);
                   7494:     }
                   7495:     ungetc(c,ficpar);
                   7496:     
                   7497:     estepm=0;
                   7498:     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
                   7499:     if (estepm==0 || estepm < stepm) estepm=stepm;
                   7500:     if (fage <= 2) {
                   7501:       bage = ageminpar;
                   7502:       fage = agemaxpar;
                   7503:     }
                   7504:     
                   7505:     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
                   7506:     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
                   7507:     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
1.186     brouard  7508: 
                   7509:     /* Other stuffs, more or less useful */    
1.126     brouard  7510:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7511:       ungetc(c,ficpar);
                   7512:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7513:       fputs(line,stdout);
1.126     brouard  7514:       fputs(line,ficparo);
                   7515:     }
                   7516:     ungetc(c,ficpar);
                   7517:     
                   7518:     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);
                   7519:     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);
                   7520:     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);
                   7521:     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
                   7522:     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);
                   7523:     
                   7524:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7525:       ungetc(c,ficpar);
                   7526:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7527:       fputs(line,stdout);
1.126     brouard  7528:       fputs(line,ficparo);
                   7529:     }
                   7530:     ungetc(c,ficpar);
                   7531:     
                   7532:     
                   7533:     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
                   7534:     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
                   7535:     
                   7536:     fscanf(ficpar,"pop_based=%d\n",&popbased);
1.193     brouard  7537:     fprintf(ficlog,"pop_based=%d\n",popbased);
1.126     brouard  7538:     fprintf(ficparo,"pop_based=%d\n",popbased);   
                   7539:     fprintf(ficres,"pop_based=%d\n",popbased);   
                   7540:     
                   7541:     while((c=getc(ficpar))=='#' && c!= EOF){
                   7542:       ungetc(c,ficpar);
                   7543:       fgets(line, MAXLINE, ficpar);
1.141     brouard  7544:       fputs(line,stdout);
1.126     brouard  7545:       fputs(line,ficparo);
                   7546:     }
                   7547:     ungetc(c,ficpar);
                   7548:     
                   7549:     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);
                   7550:     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);
                   7551:     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);
                   7552:     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);
                   7553:     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);
                   7554:     /* day and month of proj2 are not used but only year anproj2.*/
                   7555:     
                   7556:     
                   7557:     
1.145     brouard  7558:      /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
                   7559:     /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
1.126     brouard  7560:     
                   7561:     replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
1.194     brouard  7562:     if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
                   7563:        printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7564: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7565: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7566:        fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
                   7567: This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
                   7568: Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
                   7569:     }else
                   7570:       printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
1.126     brouard  7571:     
                   7572:     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                   7573:                 model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                   7574:                 jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
                   7575:       
                   7576:    /*------------ free_vector  -------------*/
                   7577:    /*  chdir(path); */
                   7578:  
                   7579:     free_ivector(wav,1,imx);
                   7580:     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
                   7581:     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
                   7582:     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
                   7583:     free_lvector(num,1,n);
                   7584:     free_vector(agedc,1,n);
                   7585:     /*free_matrix(covar,0,NCOVMAX,1,n);*/
                   7586:     /*free_matrix(covar,1,NCOVMAX,1,n);*/
                   7587:     fclose(ficparo);
                   7588:     fclose(ficres);
                   7589: 
                   7590: 
1.186     brouard  7591:     /* Other results (useful)*/
                   7592: 
                   7593: 
1.126     brouard  7594:     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
1.180     brouard  7595:     /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
                   7596:     prlim=matrix(1,nlstate,1,nlstate);
                   7597:     prevalence_limit(p, prlim,  ageminpar, agemaxpar);
1.126     brouard  7598:     fclose(ficrespl);
                   7599: 
1.145     brouard  7600: #ifdef FREEEXIT2
                   7601: #include "freeexit2.h"
                   7602: #endif
                   7603: 
1.126     brouard  7604:     /*------------- h Pij x at various ages ------------*/
1.180     brouard  7605:     /*#include "hpijx.h"*/
                   7606:     hPijx(p, bage, fage);
1.145     brouard  7607:     fclose(ficrespij);
1.126     brouard  7608: 
1.145     brouard  7609:   /*-------------- Variance of one-step probabilities---*/
                   7610:     k=1;
1.126     brouard  7611:     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
                   7612: 
                   7613: 
                   7614:     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7615:     for(i=1;i<=AGESUP;i++)
                   7616:       for(j=1;j<=NCOVMAX;j++)
                   7617:        for(k=1;k<=NCOVMAX;k++)
                   7618:          probs[i][j][k]=0.;
                   7619: 
                   7620:     /*---------- Forecasting ------------------*/
                   7621:     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
                   7622:     if(prevfcast==1){
                   7623:       /*    if(stepm ==1){*/
                   7624:       prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
                   7625:       /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
                   7626:       /*      }  */
                   7627:       /*      else{ */
                   7628:       /*        erreur=108; */
                   7629:       /*        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); */
                   7630:       /*        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); */
                   7631:       /*      } */
                   7632:     }
1.186     brouard  7633:  
                   7634:     /* ------ Other prevalence ratios------------ */
1.126     brouard  7635: 
1.127     brouard  7636:     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
                   7637: 
                   7638:     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
                   7639:     /*  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",\
                   7640:        ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
                   7641:     */
1.126     brouard  7642: 
1.127     brouard  7643:     if (mobilav!=0) {
                   7644:       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7645:       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
                   7646:        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                   7647:        printf(" Error in movingaverage mobilav=%d\n",mobilav);
                   7648:       }
1.126     brouard  7649:     }
                   7650: 
                   7651: 
1.127     brouard  7652:     /*---------- Health expectancies, no variances ------------*/
                   7653: 
1.126     brouard  7654:     strcpy(filerese,"e");
                   7655:     strcat(filerese,fileres);
                   7656:     if((ficreseij=fopen(filerese,"w"))==NULL) {
                   7657:       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7658:       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
                   7659:     }
                   7660:     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
                   7661:     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
1.145     brouard  7662:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7663:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7664:           
                   7665:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
1.127     brouard  7666:        fprintf(ficreseij,"\n#****** ");
                   7667:        for(j=1;j<=cptcoveff;j++) {
1.200   ! brouard  7668:          fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.127     brouard  7669:        }
                   7670:        fprintf(ficreseij,"******\n");
                   7671: 
                   7672:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7673:        oldm=oldms;savm=savms;
                   7674:        evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
                   7675:       
                   7676:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7677:       /*}*/
1.127     brouard  7678:     }
                   7679:     fclose(ficreseij);
                   7680: 
                   7681: 
                   7682:     /*---------- Health expectancies and variances ------------*/
                   7683: 
                   7684: 
                   7685:     strcpy(filerest,"t");
                   7686:     strcat(filerest,fileres);
                   7687:     if((ficrest=fopen(filerest,"w"))==NULL) {
                   7688:       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
                   7689:       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
                   7690:     }
                   7691:     printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7692:     fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
                   7693: 
1.126     brouard  7694: 
                   7695:     strcpy(fileresstde,"stde");
                   7696:     strcat(fileresstde,fileres);
                   7697:     if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
                   7698:       printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7699:       fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
                   7700:     }
                   7701:     printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7702:     fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
                   7703: 
                   7704:     strcpy(filerescve,"cve");
                   7705:     strcat(filerescve,fileres);
                   7706:     if((ficrescveij=fopen(filerescve,"w"))==NULL) {
                   7707:       printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7708:       fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
                   7709:     }
                   7710:     printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7711:     fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
                   7712: 
                   7713:     strcpy(fileresv,"v");
                   7714:     strcat(fileresv,fileres);
                   7715:     if((ficresvij=fopen(fileresv,"w"))==NULL) {
                   7716:       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7717:       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
                   7718:     }
                   7719:     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7720:     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
                   7721: 
1.145     brouard  7722:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7723:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7724:           
                   7725:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7726:        fprintf(ficrest,"\n#****** ");
1.126     brouard  7727:        for(j=1;j<=cptcoveff;j++) 
1.200   ! brouard  7728:          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7729:        fprintf(ficrest,"******\n");
                   7730: 
                   7731:        fprintf(ficresstdeij,"\n#****** ");
                   7732:        fprintf(ficrescveij,"\n#****** ");
                   7733:        for(j=1;j<=cptcoveff;j++) {
1.200   ! brouard  7734:          fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
        !          7735:          fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7736:        }
                   7737:        fprintf(ficresstdeij,"******\n");
                   7738:        fprintf(ficrescveij,"******\n");
                   7739: 
                   7740:        fprintf(ficresvij,"\n#****** ");
                   7741:        for(j=1;j<=cptcoveff;j++) 
1.200   ! brouard  7742:          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7743:        fprintf(ficresvij,"******\n");
                   7744: 
                   7745:        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7746:        oldm=oldms;savm=savms;
1.127     brouard  7747:        cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
1.145     brouard  7748:        /*
                   7749:         */
                   7750:        /* goto endfree; */
1.126     brouard  7751:  
                   7752:        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
                   7753:        pstamp(ficrest);
1.145     brouard  7754: 
                   7755: 
1.128     brouard  7756:        for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
1.199     brouard  7757:          oldm=oldms;savm=savms; /* ZZ Segmentation fault */
1.161     brouard  7758:          cptcod= 0; /* To be deleted */
                   7759:          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  7760:          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  7761:          if(vpopbased==1)
                   7762:            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);
                   7763:          else
                   7764:            fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
                   7765:          fprintf(ficrest,"# Age e.. (std) ");
                   7766:          for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
                   7767:          fprintf(ficrest,"\n");
1.199     brouard  7768:          /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
1.128     brouard  7769:          epj=vector(1,nlstate+1);
                   7770:          for(age=bage; age <=fage ;age++){
1.199     brouard  7771:            prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); /*ZZ Is it the correct prevalim */
1.128     brouard  7772:            if (vpopbased==1) {
                   7773:              if(mobilav ==0){
                   7774:                for(i=1; i<=nlstate;i++)
                   7775:                  prlim[i][i]=probs[(int)age][i][k];
                   7776:              }else{ /* mobilav */ 
                   7777:                for(i=1; i<=nlstate;i++)
                   7778:                  prlim[i][i]=mobaverage[(int)age][i][k];
                   7779:              }
1.126     brouard  7780:            }
                   7781:        
1.128     brouard  7782:            fprintf(ficrest," %4.0f",age);
1.199     brouard  7783:            /* printf(" age %4.0f ",age); */
1.128     brouard  7784:            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                   7785:              for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   7786:                epj[j] += prlim[i][i]*eij[i][j][(int)age];
1.199     brouard  7787:                /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   7788:                /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
1.128     brouard  7789:              }
                   7790:              epj[nlstate+1] +=epj[j];
1.126     brouard  7791:            }
1.199     brouard  7792:            /* printf(" age %4.0f \n",age); */
1.126     brouard  7793: 
1.128     brouard  7794:            for(i=1, vepp=0.;i <=nlstate;i++)
                   7795:              for(j=1;j <=nlstate;j++)
                   7796:                vepp += vareij[i][j][(int)age];
                   7797:            fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
                   7798:            for(j=1;j <=nlstate;j++){
                   7799:              fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
                   7800:            }
                   7801:            fprintf(ficrest,"\n");
1.126     brouard  7802:          }
                   7803:        }
                   7804:        free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7805:        free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
                   7806:        free_vector(epj,1,nlstate+1);
1.145     brouard  7807:       /*}*/
1.126     brouard  7808:     }
                   7809:     free_vector(weight,1,n);
1.145     brouard  7810:     free_imatrix(Tvard,1,NCOVMAX,1,2);
1.126     brouard  7811:     free_imatrix(s,1,maxwav+1,1,n);
                   7812:     free_matrix(anint,1,maxwav,1,n); 
                   7813:     free_matrix(mint,1,maxwav,1,n);
                   7814:     free_ivector(cod,1,n);
                   7815:     free_ivector(tab,1,NCOVMAX);
                   7816:     fclose(ficresstdeij);
                   7817:     fclose(ficrescveij);
                   7818:     fclose(ficresvij);
                   7819:     fclose(ficrest);
                   7820:     fclose(ficpar);
                   7821:   
                   7822:     /*------- Variance of period (stable) prevalence------*/   
                   7823: 
                   7824:     strcpy(fileresvpl,"vpl");
                   7825:     strcat(fileresvpl,fileres);
                   7826:     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
                   7827:       printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
                   7828:       exit(0);
                   7829:     }
                   7830:     printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
                   7831: 
1.145     brouard  7832:     /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
                   7833:       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
                   7834:           
                   7835:     for (k=1; k <= (int) pow(2,cptcoveff); k++){
                   7836:        fprintf(ficresvpl,"\n#****** ");
1.126     brouard  7837:        for(j=1;j<=cptcoveff;j++) 
1.200   ! brouard  7838:          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
1.126     brouard  7839:        fprintf(ficresvpl,"******\n");
                   7840:       
                   7841:        varpl=matrix(1,nlstate,(int) bage, (int) fage);
                   7842:        oldm=oldms;savm=savms;
                   7843:        varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
                   7844:        free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
1.145     brouard  7845:       /*}*/
1.126     brouard  7846:     }
                   7847: 
                   7848:     fclose(ficresvpl);
                   7849: 
                   7850:     /*---------- End : free ----------------*/
                   7851:     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7852:     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
                   7853:   }  /* mle==-3 arrives here for freeing */
1.164     brouard  7854:  /* endfree:*/
1.141     brouard  7855:     free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
1.126     brouard  7856:     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
                   7857:     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7858:     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7859:     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
                   7860:     free_matrix(covar,0,NCOVMAX,1,n);
                   7861:     free_matrix(matcov,1,npar,1,npar);
                   7862:     /*free_vector(delti,1,npar);*/
                   7863:     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
                   7864:     free_matrix(agev,1,maxwav,1,imx);
                   7865:     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
                   7866: 
1.145     brouard  7867:     free_ivector(ncodemax,1,NCOVMAX);
1.192     brouard  7868:     free_ivector(ncodemaxwundef,1,NCOVMAX);
1.145     brouard  7869:     free_ivector(Tvar,1,NCOVMAX);
                   7870:     free_ivector(Tprod,1,NCOVMAX);
                   7871:     free_ivector(Tvaraff,1,NCOVMAX);
                   7872:     free_ivector(Tage,1,NCOVMAX);
1.126     brouard  7873: 
                   7874:     free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
1.200   ! brouard  7875:     /* free_imatrix(codtab,1,100,1,10); */
1.126     brouard  7876:   fflush(fichtm);
                   7877:   fflush(ficgp);
                   7878:   
                   7879: 
                   7880:   if((nberr >0) || (nbwarn>0)){
                   7881:     printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
                   7882:     fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
                   7883:   }else{
                   7884:     printf("End of Imach\n");
                   7885:     fprintf(ficlog,"End of Imach\n");
                   7886:   }
                   7887:   printf("See log file on %s\n",filelog);
                   7888:   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
1.157     brouard  7889:   /*(void) gettimeofday(&end_time,&tzp);*/
                   7890:   rend_time = time(NULL);  
                   7891:   end_time = *localtime(&rend_time);
                   7892:   /* tml = *localtime(&end_time.tm_sec); */
                   7893:   strcpy(strtend,asctime(&end_time));
1.126     brouard  7894:   printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
                   7895:   fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
1.157     brouard  7896:   printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
1.126     brouard  7897: 
1.157     brouard  7898:   printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
                   7899:   fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
                   7900:   fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
1.126     brouard  7901:   /*  printf("Total time was %d uSec.\n", total_usecs);*/
                   7902: /*   if(fileappend(fichtm,optionfilehtm)){ */
                   7903:   fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7904:   fclose(fichtm);
                   7905:   fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
                   7906:   fclose(fichtmcov);
                   7907:   fclose(ficgp);
                   7908:   fclose(ficlog);
                   7909:   /*------ End -----------*/
                   7910: 
                   7911: 
                   7912:    printf("Before Current directory %s!\n",pathcd);
1.184     brouard  7913: #ifdef WIN32
                   7914:    if (_chdir(pathcd) != 0)
                   7915:           printf("Can't move to directory %s!\n",path);
                   7916:    if(_getcwd(pathcd,MAXLINE) > 0)
                   7917: #else
1.126     brouard  7918:    if(chdir(pathcd) != 0)
1.184     brouard  7919:           printf("Can't move to directory %s!\n", path);
                   7920:    if (getcwd(pathcd, MAXLINE) > 0)
                   7921: #endif 
1.126     brouard  7922:     printf("Current directory %s!\n",pathcd);
                   7923:   /*strcat(plotcmd,CHARSEPARATOR);*/
                   7924:   sprintf(plotcmd,"gnuplot");
1.157     brouard  7925: #ifdef _WIN32
1.126     brouard  7926:   sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
                   7927: #endif
                   7928:   if(!stat(plotcmd,&info)){
1.158     brouard  7929:     printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7930:     if(!stat(getenv("GNUPLOTBIN"),&info)){
1.158     brouard  7931:       printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
1.126     brouard  7932:     }else
                   7933:       strcpy(pplotcmd,plotcmd);
1.157     brouard  7934: #ifdef __unix
1.126     brouard  7935:     strcpy(plotcmd,GNUPLOTPROGRAM);
                   7936:     if(!stat(plotcmd,&info)){
1.158     brouard  7937:       printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7938:     }else
                   7939:       strcpy(pplotcmd,plotcmd);
                   7940: #endif
                   7941:   }else
                   7942:     strcpy(pplotcmd,plotcmd);
                   7943:   
                   7944:   sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
1.158     brouard  7945:   printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
1.126     brouard  7946: 
                   7947:   if((outcmd=system(plotcmd)) != 0){
1.158     brouard  7948:     printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
1.154     brouard  7949:     printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
1.152     brouard  7950:     sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
1.150     brouard  7951:     if((outcmd=system(plotcmd)) != 0)
1.153     brouard  7952:       printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
1.126     brouard  7953:   }
1.158     brouard  7954:   printf(" Successful, please wait...");
1.126     brouard  7955:   while (z[0] != 'q') {
                   7956:     /* chdir(path); */
1.154     brouard  7957:     printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
1.126     brouard  7958:     scanf("%s",z);
                   7959: /*     if (z[0] == 'c') system("./imach"); */
                   7960:     if (z[0] == 'e') {
1.158     brouard  7961: #ifdef __APPLE__
1.152     brouard  7962:       sprintf(pplotcmd, "open %s", optionfilehtm);
1.157     brouard  7963: #elif __linux
                   7964:       sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
1.153     brouard  7965: #else
1.152     brouard  7966:       sprintf(pplotcmd, "%s", optionfilehtm);
1.153     brouard  7967: #endif
                   7968:       printf("Starting browser with: %s",pplotcmd);fflush(stdout);
                   7969:       system(pplotcmd);
1.126     brouard  7970:     }
                   7971:     else if (z[0] == 'g') system(plotcmd);
                   7972:     else if (z[0] == 'q') exit(0);
                   7973:   }
                   7974:   end:
                   7975:   while (z[0] != 'q') {
1.195     brouard  7976:     printf("\nType  q for exiting: "); fflush(stdout);
1.126     brouard  7977:     scanf("%s",z);
                   7978:   }
                   7979: }

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