--- imach/src/imach.c 2014/08/27 16:26:55 1.157 +++ imach/src/imach.c 2015/12/18 17:32:11 1.216 @@ -1,6 +1,243 @@ -/* $Id: imach.c,v 1.157 2014/08/27 16:26:55 brouard Exp $ +/* $Id: imach.c,v 1.216 2015/12/18 17:32:11 brouard Exp $ $State: Exp $ $Log: imach.c,v $ + Revision 1.216 2015/12/18 17:32:11 brouard + Summary: 0.98r4 Warning and status=-2 + + Version 0.98r4 is now: + - displaying an error when status is -1, date of interview unknown and date of death known; + - permitting a status -2 when the vital status is unknown at a known date of right truncation. + Older changes concerning s=-2, dating from 2005 have been supersed. + + Revision 1.215 2015/12/16 08:52:24 brouard + Summary: 0.98r4 working + + Revision 1.214 2015/12/16 06:57:54 brouard + Summary: temporary not working + + Revision 1.213 2015/12/11 18:22:17 brouard + Summary: 0.98r4 + + Revision 1.212 2015/11/21 12:47:24 brouard + Summary: minor typo + + Revision 1.211 2015/11/21 12:41:11 brouard + Summary: 0.98r3 with some graph of projected cross-sectional + + Author: Nicolas Brouard + + Revision 1.210 2015/11/18 17:41:20 brouard + Summary: Start working on projected prevalences + + Revision 1.209 2015/11/17 22:12:03 brouard + Summary: Adding ftolpl parameter + Author: N Brouard + + We had difficulties to get smoothed confidence intervals. It was due + to the period prevalence which wasn't computed accurately. The inner + parameter ftolpl is now an outer parameter of the .imach parameter + file after estepm. If ftolpl is small 1.e-4 and estepm too, + computation are long. + + Revision 1.208 2015/11/17 14:31:57 brouard + Summary: temporary + + Revision 1.207 2015/10/27 17:36:57 brouard + *** empty log message *** + + Revision 1.206 2015/10/24 07:14:11 brouard + *** empty log message *** + + Revision 1.205 2015/10/23 15:50:53 brouard + Summary: 0.98r3 some clarification for graphs on likelihood contributions + + Revision 1.204 2015/10/01 16:20:26 brouard + Summary: Some new graphs of contribution to likelihood + + Revision 1.203 2015/09/30 17:45:14 brouard + Summary: looking at better estimation of the hessian + + Also a better criteria for convergence to the period prevalence And + therefore adding the number of years needed to converge. (The + prevalence in any alive state shold sum to one + + Revision 1.202 2015/09/22 19:45:16 brouard + Summary: Adding some overall graph on contribution to likelihood. Might change + + Revision 1.201 2015/09/15 17:34:58 brouard + Summary: 0.98r0 + + - Some new graphs like suvival functions + - Some bugs fixed like model=1+age+V2. + + Revision 1.200 2015/09/09 16:53:55 brouard + Summary: Big bug thanks to Flavia + + Even model=1+age+V2. did not work anymore + + Revision 1.199 2015/09/07 14:09:23 brouard + Summary: 0.98q6 changing default small png format for graph to vectorized svg. + + Revision 1.198 2015/09/03 07:14:39 brouard + Summary: 0.98q5 Flavia + + Revision 1.197 2015/09/01 18:24:39 brouard + *** empty log message *** + + Revision 1.196 2015/08/18 23:17:52 brouard + Summary: 0.98q5 + + Revision 1.195 2015/08/18 16:28:39 brouard + Summary: Adding a hack for testing purpose + + After reading the title, ftol and model lines, if the comment line has + a q, starting with #q, the answer at the end of the run is quit. It + permits to run test files in batch with ctest. The former workaround was + $ echo q | imach foo.imach + + Revision 1.194 2015/08/18 13:32:00 brouard + Summary: Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line. + + Revision 1.193 2015/08/04 07:17:42 brouard + Summary: 0.98q4 + + Revision 1.192 2015/07/16 16:49:02 brouard + Summary: Fixing some outputs + + Revision 1.191 2015/07/14 10:00:33 brouard + Summary: Some fixes + + Revision 1.190 2015/05/05 08:51:13 brouard + Summary: Adding digits in output parameters (7 digits instead of 6) + + Fix 1+age+. + + Revision 1.189 2015/04/30 14:45:16 brouard + Summary: 0.98q2 + + Revision 1.188 2015/04/30 08:27:53 brouard + *** empty log message *** + + Revision 1.187 2015/04/29 09:11:15 brouard + *** empty log message *** + + Revision 1.186 2015/04/23 12:01:52 brouard + Summary: V1*age is working now, version 0.98q1 + + Some codes had been disabled in order to simplify and Vn*age was + working in the optimization phase, ie, giving correct MLE parameters, + but, as usual, outputs were not correct and program core dumped. + + Revision 1.185 2015/03/11 13:26:42 brouard + Summary: Inclusion of compile and links command line for Intel Compiler + + Revision 1.184 2015/03/11 11:52:39 brouard + Summary: Back from Windows 8. Intel Compiler + + Revision 1.183 2015/03/10 20:34:32 brouard + Summary: 0.98q0, trying with directest, mnbrak fixed + + We use directest instead of original Powell test; probably no + incidence on the results, but better justifications; + We fixed Numerical Recipes mnbrak routine which was wrong and gave + wrong results. + + Revision 1.182 2015/02/12 08:19:57 brouard + Summary: Trying to keep directest which seems simpler and more general + Author: Nicolas Brouard + + Revision 1.181 2015/02/11 23:22:24 brouard + Summary: Comments on Powell added + + Author: + + Revision 1.180 2015/02/11 17:33:45 brouard + Summary: Finishing move from main to function (hpijx and prevalence_limit) + + Revision 1.179 2015/01/04 09:57:06 brouard + Summary: back to OS/X + + Revision 1.178 2015/01/04 09:35:48 brouard + *** empty log message *** + + Revision 1.177 2015/01/03 18:40:56 brouard + Summary: Still testing ilc32 on OSX + + Revision 1.176 2015/01/03 16:45:04 brouard + *** empty log message *** + + Revision 1.175 2015/01/03 16:33:42 brouard + *** empty log message *** + + Revision 1.174 2015/01/03 16:15:49 brouard + Summary: Still in cross-compilation + + Revision 1.173 2015/01/03 12:06:26 brouard + Summary: trying to detect cross-compilation + + Revision 1.172 2014/12/27 12:07:47 brouard + Summary: Back from Visual Studio and Intel, options for compiling for Windows XP + + Revision 1.171 2014/12/23 13:26:59 brouard + Summary: Back from Visual C + + Still problem with utsname.h on Windows + + Revision 1.170 2014/12/23 11:17:12 brouard + Summary: Cleaning some \%% back to %% + + The escape was mandatory for a specific compiler (which one?), but too many warnings. + + Revision 1.169 2014/12/22 23:08:31 brouard + Summary: 0.98p + + Outputs some informations on compiler used, OS etc. Testing on different platforms. + + Revision 1.168 2014/12/22 15:17:42 brouard + Summary: update + + Revision 1.167 2014/12/22 13:50:56 brouard + Summary: Testing uname and compiler version and if compiled 32 or 64 + + Testing on Linux 64 + + Revision 1.166 2014/12/22 11:40:47 brouard + *** empty log message *** + + Revision 1.165 2014/12/16 11:20:36 brouard + Summary: After compiling on Visual C + + * imach.c (Module): Merging 1.61 to 1.162 + + Revision 1.164 2014/12/16 10:52:11 brouard + Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn + + * imach.c (Module): Merging 1.61 to 1.162 + + Revision 1.163 2014/12/16 10:30:11 brouard + * imach.c (Module): Merging 1.61 to 1.162 + + Revision 1.162 2014/09/25 11:43:39 brouard + Summary: temporary backup 0.99! + + Revision 1.1 2014/09/16 11:06:58 brouard + Summary: With some code (wrong) for nlopt + + Author: + + Revision 1.161 2014/09/15 20:41:41 brouard + Summary: Problem with macro SQR on Intel compiler + + Revision 1.160 2014/09/02 09:24:05 brouard + *** empty log message *** + + Revision 1.159 2014/09/01 10:34:10 brouard + Summary: WIN32 + Author: Brouard + + Revision 1.158 2014/08/27 17:11:51 brouard + *** empty log message *** + Revision 1.157 2014/08/27 16:26:55 brouard Summary: Preparing windows Visual studio version Author: Brouard @@ -468,20 +705,40 @@ end */ +/* #define DEBUG */ +/* #define DEBUGBRENT */ +/* #define DEBUGLINMIN */ +/* #define DEBUGHESS */ +#define DEBUGHESSIJ +/* #define LINMINORIGINAL /\* Don't use loop on scale in linmin (accepting nan)*\/ */ +#define POWELL /* Instead of NLOPT */ +#define POWELLF1F3 /* Skip test */ +/* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */ +/* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */ - - #include #include #include #include + +#ifdef _WIN32 +#include +#include +#include +#else #include +#endif #include #include + +#if defined(__GNUC__) +#include /* Doesn't work on Windows */ +#endif + #include #include -extern int errno; +/* extern int errno; */ /* #ifdef LINUX */ /* #include */ @@ -497,6 +754,14 @@ extern int errno; #include #endif + +#ifdef NLOPT +#include +typedef struct { + double (* function)(double [] ); +} myfunc_data ; +#endif + /* #include */ /* #define _(String) gettext (String) */ @@ -516,12 +781,15 @@ extern int errno; #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */ #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */ #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */ -#define codtabm(h,k) 1 & (h-1) >> (k-1) ; +#define codtabm(h,k) (1 & (h-1) >> (k-1))+1 +/*#define decodtabm(h,k,cptcoveff)= (h <= (1<> (k-1)) & 1) +1 : -1)*/ +#define decodtabm(h,k,cptcoveff) (((h-1) >> (k-1)) & 1) +1 #define MAXN 20000 #define YEARM 12. /**< Number of months per year */ #define AGESUP 130 #define AGEBASE 40 -#define AGEGOMP 10. /**< Minimal age for Gompertz adjustment */ +#define AGEOVERFLOW 1.e20 +#define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */ #ifdef _WIN32 #define DIRSEPARATOR '\\' #define CHARSEPARATOR "\\" @@ -532,15 +800,16 @@ extern int errno; #define ODIRSEPARATOR '\\' #endif -/* $Id: imach.c,v 1.157 2014/08/27 16:26:55 brouard Exp $ */ +/* $Id: imach.c,v 1.216 2015/12/18 17:32:11 brouard Exp $ */ /* $State: Exp $ */ - -char version[]="Imach version 0.98nX, August 2014,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121)"; -char fullversion[]="$Revision: 1.157 $ $Date: 2014/08/27 16:26:55 $"; +#include "version.h" +char version[]=__IMACH_VERSION__; +char copyright[]="October 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015"; +char fullversion[]="$Revision: 1.216 $ $Date: 2015/12/18 17:32:11 $"; char strstart[80]; char optionfilext[10], optionfilefiname[FILENAMELENGTH]; int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings */ -int nvar=0, nforce=0; /* Number of variables, number of forces */ +int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */ /* Number of covariates model=V2+V1+ V3*age+V2*V4 */ int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */ int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */ @@ -566,12 +835,13 @@ int **mw; /* mw[mi][i] is number of the int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */ int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between * wave mi and wave mi+1 is not an exact multiple of stepm. */ +int countcallfunc=0; /* Count the number of calls to func */ double jmean=1; /* Mean space between 2 waves */ double **matprod2(); /* test */ double **oldm, **newm, **savm; /* Working pointers to matrices */ double **oldms, **newms, **savms; /* Fixed working pointers to matrices */ /*FILE *fic ; */ /* Used in readdata only */ -FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop; +FILE *ficpar, *ficparo,*ficres, *ficresp, *ficresphtm, *ficresphtmfr, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop; FILE *ficlog, *ficrespow; int globpr=0; /* Global variable for printing or not */ double fretone; /* Only one call to likelihood */ @@ -601,7 +871,7 @@ char command[FILENAMELENGTH]; int outcmd=0; char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH]; - +char fileresu[FILENAMELENGTH]; /* fileres without r in front */ char filelog[FILENAMELENGTH]; /* Log file */ char filerest[FILENAMELENGTH]; char fileregp[FILENAMELENGTH]; @@ -649,7 +919,12 @@ static double maxarg1,maxarg2; #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a)) #define rint(a) floor(a+0.5) - +/* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */ +#define mytinydouble 1.0e-16 +/* #define DEQUAL(a,b) (fabs((a)-(b)) Tvar[1]= 2 */ +int *Tage; int *Ndum; /** Freq of modality (tricode */ -int **codtab; /**< codtab=imatrix(1,100,1,10); */ +/* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */ int **Tvard, *Tprod, cptcovprod, *Tvaraff; double *lsurv, *lpop, *tpop; @@ -693,7 +975,7 @@ static int split( char *path, char *dirc the name of the file (name), its extension only (ext) and its first part of the name (finame) */ char *ss; /* pointer */ - int l1, l2; /* length counters */ + int l1=0, l2=0; /* length counters */ l1 = strlen(path ); /* length of path */ if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH ); @@ -704,18 +986,22 @@ static int split( char *path, char *dirc printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/ /* get current working directory */ /* extern char* getcwd ( char *buf , int len);*/ - if ( getcwd( dirc, FILENAME_MAX ) == NULL ) { +#ifdef WIN32 + if (_getcwd( dirc, FILENAME_MAX ) == NULL ) { +#else + if (getcwd(dirc, FILENAME_MAX) == NULL) { +#endif return( GLOCK_ERROR_GETCWD ); } /* got dirc from getcwd*/ printf(" DIRC = %s \n",dirc); - } else { /* strip direcotry from path */ + } else { /* strip directory from path */ ss++; /* after this, the filename */ l2 = strlen( ss ); /* length of filename */ if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH ); strcpy( name, ss ); /* save file name */ strncpy( dirc, path, l1 - l2 ); /* now the directory */ - dirc[l1-l2] = 0; /* add zero */ + dirc[l1-l2] = '\0'; /* add zero */ printf(" DIRC2 = %s \n",dirc); } /* We add a separator at the end of dirc if not exists */ @@ -767,14 +1053,57 @@ char *trimbb(char *out, char *in) return s; } +/* char *substrchaine(char *out, char *in, char *chain) */ +/* { */ +/* /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */ +/* char *s, *t; */ +/* t=in;s=out; */ +/* while ((*in != *chain) && (*in != '\0')){ */ +/* *out++ = *in++; */ +/* } */ + +/* /\* *in matches *chain *\/ */ +/* while ((*in++ == *chain++) && (*in != '\0')){ */ +/* printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain); */ +/* } */ +/* in--; chain--; */ +/* while ( (*in != '\0')){ */ +/* printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain); */ +/* *out++ = *in++; */ +/* printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain); */ +/* } */ +/* *out='\0'; */ +/* out=s; */ +/* return out; */ +/* } */ +char *substrchaine(char *out, char *in, char *chain) +{ + /* Substract chain 'chain' from 'in', return and output 'out' */ + /* in="V1+V1*age+age*age+V2", chain="age*age" */ + + char *strloc; + + strcpy (out, in); + strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */ + printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out); + if(strloc != NULL){ + /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */ + memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1); + /* strcpy (strloc, strloc +strlen(chain));*/ + } + printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out); + return out; +} + + char *cutl(char *blocc, char *alocc, char *in, char occ) { - /* cuts string in into blocc and alocc where blocc ends before first occurence of char 'occ' + /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2') - gives blocc="abcdef2ghi" and alocc="j". + gives blocc="abcdef" and alocc="ghi2j". If occ is not found blocc is null and alocc is equal to in. Returns blocc */ - char *s, *t, *bl; + char *s, *t; t=in;s=in; while ((*in != occ) && (*in != '\0')){ *alocc++ = *in++; @@ -797,7 +1126,7 @@ char *cutl(char *blocc, char *alocc, cha } char *cutv(char *blocc, char *alocc, char *in, char occ) { - /* cuts string in into blocc and alocc where blocc ends before last occurence of char 'occ' + /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2') gives blocc="abcdef2ghi" and alocc="j". If occ is not found blocc is null and alocc is equal to in. Returns alocc @@ -858,6 +1187,24 @@ int nbocc(char *s, char occ) /* } */ /* } */ +#ifdef _WIN32 +char * strsep(char **pp, const char *delim) +{ + char *p, *q; + + if ((p = *pp) == NULL) + return 0; + if ((q = strpbrk (p, delim)) != NULL) + { + *pp = q + 1; + *q = '\0'; + } + else + *pp = 0; + return p; +} +#endif + /********************** nrerror ********************/ void nrerror(char error_text[]) @@ -1056,6 +1403,42 @@ char *subdirf3(char fileres[], char *pre strcat(tmpout,fileres); return tmpout; } + +/*************** function subdirfext ***********/ +char *subdirfext(char fileres[], char *preop, char *postop) +{ + + strcpy(tmpout,preop); + strcat(tmpout,fileres); + strcat(tmpout,postop); + return tmpout; +} + +/*************** function subdirfext3 ***********/ +char *subdirfext3(char fileres[], char *preop, char *postop) +{ + + /* Caution optionfilefiname is hidden */ + strcpy(tmpout,optionfilefiname); + strcat(tmpout,"/"); + strcat(tmpout,preop); + strcat(tmpout,fileres); + strcat(tmpout,postop); + return tmpout; +} + +char *asc_diff_time(long time_sec, char ascdiff[]) +{ + long sec_left, days, hours, minutes; + days = (time_sec) / (60*60*24); + sec_left = (time_sec) % (60*60*24); + hours = (sec_left) / (60*60) ; + sec_left = (sec_left) %(60*60); + minutes = (sec_left) /60; + sec_left = (sec_left) % (60); + sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left); + return ascdiff; +} /***************** f1dim *************************/ extern int ncom; @@ -1077,11 +1460,17 @@ double f1dim(double x) /*****************brent *************************/ double brent(double ax, double bx, double cx, double (*f)(double), double tol, double *xmin) -{ +{ + /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is + * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates + * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of + * the minimum is returned as xmin, and the minimum function value is returned as brent , the + * returned function value. + */ int iter; double a,b,d,etemp; - double fu,fv,fw,fx; - double ftemp; + double fu=0,fv,fw,fx; + double ftemp=0.; double p,q,r,tol1,tol2,u,v,w,x,xm; double e=0.0; @@ -1095,7 +1484,7 @@ double brent(double ax, double bx, doubl /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/ printf(".");fflush(stdout); fprintf(ficlog,".");fflush(ficlog); -#ifdef DEBUG +#ifdef DEBUGBRENT 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); 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); /* if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */ @@ -1130,19 +1519,19 @@ double brent(double ax, double bx, doubl if (fu <= fx) { if (u >= x) a=x; else b=x; SHFT(v,w,x,u) - SHFT(fv,fw,fx,fu) - } else { - if (u < x) a=u; else b=u; - if (fu <= fw || w == x) { - v=w; - w=u; - fv=fw; - fw=fu; - } else if (fu <= fv || v == x || v == w) { - v=u; - fv=fu; - } - } + SHFT(fv,fw,fx,fu) + } else { + if (u < x) a=u; else b=u; + if (fu <= fw || w == x) { + v=w; + w=u; + fv=fw; + fw=fu; + } else if (fu <= fv || v == x || v == w) { + v=u; + fv=fu; + } + } } nrerror("Too many iterations in brent"); *xmin=x; @@ -1153,46 +1542,139 @@ double brent(double ax, double bx, doubl void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, double (*func)(double)) -{ +{ /* Given a function func , and given distinct initial points ax and bx , this routine searches in +the downhill direction (defined by the function as evaluated at the initial points) and returns +new points ax , bx , cx that bracket a minimum of the function. Also returned are the function +values at the three points, fa, fb , and fc such that fa > fb and fb < fc. + */ double ulim,u,r,q, dum; double fu; - - *fa=(*func)(*ax); - *fb=(*func)(*bx); + + double scale=10.; + int iterscale=0; + + *fa=(*func)(*ax); /* xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/ + *fb=(*func)(*bx); /* xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */ + + + /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */ + /* printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */ + /* *bx = *ax - (*ax - *bx)/scale; */ + /* *fb=(*func)(*bx); /\* xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */ + /* } */ + if (*fb > *fa) { SHFT(dum,*ax,*bx,dum) - SHFT(dum,*fb,*fa,dum) - } + SHFT(dum,*fb,*fa,dum) + } *cx=(*bx)+GOLD*(*bx-*ax); *fc=(*func)(*cx); - while (*fb > *fc) { +#ifdef DEBUG + printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc); + fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc); +#endif + while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */ r=(*bx-*ax)*(*fb-*fc); q=(*bx-*cx)*(*fb-*fa); u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ - (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); - ulim=(*bx)+GLIMIT*(*cx-*bx); - if ((*bx-u)*(u-*cx) > 0.0) { + (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */ + ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */ + if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */ fu=(*func)(u); - } else if ((*cx-u)*(u-ulim) > 0.0) { +#ifdef DEBUG + /* f(x)=A(x-u)**2+f(u) */ + double A, fparabu; + A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u); + fparabu= *fa - A*(*ax-u)*(*ax-u); + 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); + 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); + /* And thus,it can be that fu > *fc even if fparabu < *fc */ + /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489), + (*cx=10.098840694817, *fc=298946.631474258087), (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */ + /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/ +#endif +#ifdef MNBRAKORIGINAL +#else +/* if (fu > *fc) { */ +/* #ifdef DEBUG */ +/* printf("mnbrak4 fu > fc \n"); */ +/* fprintf(ficlog, "mnbrak4 fu > fc\n"); */ +/* #endif */ +/* /\* 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 *\\/ *\/ */ +/* /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc will exit *\\/ *\/ */ +/* dum=u; /\* Shifting c and u *\/ */ +/* u = *cx; */ +/* *cx = dum; */ +/* dum = fu; */ +/* fu = *fc; */ +/* *fc =dum; */ +/* } else { /\* end *\/ */ +/* #ifdef DEBUG */ +/* printf("mnbrak3 fu < fc \n"); */ +/* fprintf(ficlog, "mnbrak3 fu < fc\n"); */ +/* #endif */ +/* dum=u; /\* Shifting c and u *\/ */ +/* u = *cx; */ +/* *cx = dum; */ +/* dum = fu; */ +/* fu = *fc; */ +/* *fc =dum; */ +/* } */ +#ifdef DEBUG + printf("mnbrak34 fu < or >= fc \n"); + fprintf(ficlog, "mnbrak34 fu < fc\n"); +#endif + dum=u; /* Shifting c and u */ + u = *cx; + *cx = dum; + dum = fu; + fu = *fc; + *fc =dum; +#endif + } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */ +#ifdef DEBUG + printf("mnbrak2 u after c but before ulim\n"); + fprintf(ficlog, "mnbrak2 u after c but before ulim\n"); +#endif fu=(*func)(u); if (fu < *fc) { +#ifdef DEBUG + printf("mnbrak2 u after c but before ulim AND fu < fc\n"); + fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu = 0.0) { + SHFT(*fb,*fc,fu,(*func)(u)) + } + } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */ +#ifdef DEBUG + printf("mnbrak2 u outside ulim (verifying that ulim is beyond c)\n"); + fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n"); +#endif u=ulim; fu=(*func)(u); - } else { + } else { /* u could be left to b (if r > q parabola has a maximum) */ +#ifdef DEBUG + printf("mnbrak2 u could be left to b (if r > q parabola has a maximum)\n"); + fprintf(ficlog, "mnbrak2 u could be left to b (if r > q parabola has a maximum)\n"); +#endif u=(*cx)+GOLD*(*cx-*bx); fu=(*func)(u); - } + } /* end tests */ SHFT(*ax,*bx,*cx,u) - SHFT(*fa,*fb,*fc,fu) - } + SHFT(*fa,*fb,*fc,fu) +#ifdef DEBUG + 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); + 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); +#endif + } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */ } /*************** linmin ************************/ - +/* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and +resets p to where the function func(p) takes on a minimum along the direction xi from p , +and replaces xi by the actual vector displacement that p was moved. Also returns as fret +the value of func at the returned location p . This is actually all accomplished by calling the +routines mnbrak and brent .*/ int ncom; double *pcom,*xicom; double (*nrfunc)(double []); @@ -1207,45 +1689,111 @@ void linmin(double p[], double xi[], int int j; double xx,xmin,bx,ax; double fx,fb,fa; - + +#ifdef LINMINORIGINAL +#else + double scale=10., axs, xxs; /* Scale added for infinity */ +#endif + ncom=n; pcom=vector(1,n); xicom=vector(1,n); nrfunc=func; for (j=1;j<=n;j++) { pcom[j]=p[j]; - xicom[j]=xi[j]; + xicom[j]=xi[j]; /* Former scale xi[j] of currrent direction i */ } - ax=0.0; - xx=1.0; - mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); - *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); + +#ifdef LINMINORIGINAL + xx=1.; +#else + axs=0.0; + xxs=1.; + do{ + xx= xxs; +#endif + ax=0.; + mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */ + /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */ + /* 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)) */ + /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */ + /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */ + /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */ + /* 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]]*/ +#ifdef LINMINORIGINAL +#else + if (fx != fx){ + xxs=xxs/scale; /* Trying a smaller xx, closer to initial ax=0 */ + printf("|"); + fprintf(ficlog,"|"); +#ifdef DEBUGLINMIN + 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); +#endif + } + }while(fx != fx); +#endif + +#ifdef DEBUGLINMIN + 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); + fprintf(ficlog,"\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n", ax,xx,bx,fa,fx,fb); +#endif + *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/ + /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */ + /* fmin = f(p[j] + xmin * xi[j]) */ + /* P+lambda n in that direction (lambdamin), with TOL between abscisses */ + /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */ #ifdef DEBUG printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin); fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin); #endif +#ifdef DEBUGLINMIN + printf("linmin end "); + fprintf(ficlog,"linmin end "); +#endif for (j=1;j<=n;j++) { +#ifdef LINMINORIGINAL xi[j] *= xmin; - p[j] += xi[j]; +#else +#ifdef DEBUGLINMIN + if(xxs <1.0) + printf(" before xi[%d]=%12.8f", j,xi[j]); +#endif + xi[j] *= xmin*xxs; /* xi rescaled by xmin and number of loops: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */ +#ifdef DEBUGLINMIN + if(xxs <1.0) + 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 ); +#endif +#endif + p[j] += xi[j]; /* Parameters values are updated accordingly */ } +#ifdef DEBUGLINMIN + printf("\n"); + printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p)); + fprintf(ficlog,"Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p)); + for (j=1;j<=n;j++) { + printf(" xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]); + fprintf(ficlog," xi[%d]= %14.10f p[%d]= %12.7f",j,xi[j],j,p[j]); + if(j % ncovmodel == 0){ + printf("\n"); + fprintf(ficlog,"\n"); + } + } +#else +#endif free_vector(xicom,1,n); free_vector(pcom,1,n); } -char *asc_diff_time(long time_sec, char ascdiff[]) -{ - long sec_left, days, hours, minutes; - days = (time_sec) / (60*60*24); - sec_left = (time_sec) % (60*60*24); - hours = (sec_left) / (60*60) ; - sec_left = (sec_left) %(60*60); - minutes = (sec_left) /60; - sec_left = (sec_left) % (60); - sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left); - return ascdiff; -} /*************** powell ************************/ +/* +Minimization of a function func of n variables. Input consists of an initial starting point +p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di- +rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value +such that failure to decrease by more than this amount on one iteration signals doneness. On +output, p is set to the best point found, xi is the then-current direction set, fret is the returned +function value at p , and iter is the number of iterations taken. The routine linmin is used. + */ void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, double (*func)(double [])) { @@ -1253,6 +1801,7 @@ void powell(double p[], double **xi, int double (*func)(double [])); int i,ibig,j; double del,t,*pt,*ptt,*xit; + double directest; double fp,fptt; double *xits; int niterf, itmp; @@ -1263,9 +1812,9 @@ void powell(double p[], double **xi, int xits=vector(1,n); *fret=(*func)(p); for (j=1;j<=n;j++) pt[j]=p[j]; - rcurr_time = time(NULL); + rcurr_time = time(NULL); for (*iter=1;;++(*iter)) { - fp=(*fret); + fp=(*fret); /* From former iteration or initial value */ ibig=0; del=0.0; rlast_time=rcurr_time; @@ -1275,7 +1824,7 @@ void powell(double p[], double **xi, int printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout); fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog); /* fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */ - for (i=1;i<=n;i++) { + for (i=1;i<=n;i++) { printf(" %d %.12f",i, p[i]); fprintf(ficlog," %d %.12lf",i, p[i]); fprintf(ficrespow," %.12lf", p[i]); @@ -1286,17 +1835,15 @@ void powell(double p[], double **xi, int if(*iter <=3){ tml = *localtime(&rcurr_time); strcpy(strcurr,asctime(&tml)); -/* asctime_r(&tm,strcurr); */ rforecast_time=rcurr_time; itmp = strlen(strcurr); if(strcurr[itmp-1]=='\n') /* Windows outputs with a new line */ strcurr[itmp-1]='\0'; - printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time); + printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time); fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time); for(niterf=10;niterf<=30;niterf+=10){ rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time); forecast_time = *localtime(&rforecast_time); -/* asctime_r(&tmf,strfor); */ strcpy(strfor,asctime(&forecast_time)); itmp = strlen(strfor); if(strfor[itmp-1]=='\n') @@ -1305,17 +1852,22 @@ void powell(double p[], double **xi, int 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); } } - for (i=1;i<=n;i++) { - for (j=1;j<=n;j++) xit[j]=xi[j][i]; + for (i=1;i<=n;i++) { /* For each direction i */ + for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */ fptt=(*fret); #ifdef DEBUG - printf("fret=%lf \n",*fret); - fprintf(ficlog,"fret=%lf \n",*fret); + printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret); + fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret); #endif - printf("%d",i);fflush(stdout); + printf("%d",i);fflush(stdout); /* print direction (parameter) i */ fprintf(ficlog,"%d",i);fflush(ficlog); - linmin(p,xit,n,fret,func); - if (fabs(fptt-(*fret)) > del) { + linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/ + /* Outputs are fret(new point p) p is updated and xit rescaled */ + if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */ + /* because that direction will be replaced unless the gain del is small */ + /* in comparison with the 'probable' gain, mu^2, with the last average direction. */ + /* Unless the n directions are conjugate some gain in the determinant may be obtained */ + /* with the new direction. */ del=fabs(fptt-(*fret)); ibig=i; } @@ -1328,14 +1880,29 @@ void powell(double p[], double **xi, int fprintf(ficlog," x(%d)=%.12e",j,xit[j]); } for(j=1;j<=n;j++) { - printf(" p=%.12e",p[j]); - fprintf(ficlog," p=%.12e",p[j]); + printf(" p(%d)=%.12e",j,p[j]); + fprintf(ficlog," p(%d)=%.12e",j,p[j]); } printf("\n"); fprintf(ficlog,"\n"); #endif - } - if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { + } /* end loop on each direction i */ + /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ + /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit */ + /* New value of last point Pn is not computed, P(n-1) */ + if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */ + /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */ + /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */ + /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */ + /* decreased of more than 3.84 */ + /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */ + /* By using V1+V2+V3, the gain should be 7.82, compared with basic 1+age. */ + /* By adding 10 parameters more the gain should be 18.31 */ + + /* Starting the program with initial values given by a former maximization will simply change */ + /* the scales of the directions and the directions, because the are reset to canonical directions */ + /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */ + /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long. */ #ifdef DEBUG int k[2],l; k[0]=1; @@ -1365,22 +1932,82 @@ void powell(double p[], double **xi, int free_vector(ptt,1,n); free_vector(pt,1,n); return; - } + } /* enough precision */ if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); - for (j=1;j<=n;j++) { + for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */ ptt[j]=2.0*p[j]-pt[j]; xit[j]=p[j]-pt[j]; pt[j]=p[j]; } - fptt=(*func)(ptt); - if (fptt < fp) { - t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); - if (t < 0.0) { - linmin(p,xit,n,fret,func); + fptt=(*func)(ptt); /* f_3 */ +#ifdef POWELLF1F3 +#else + if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */ +#endif + /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */ + /* From x1 (P0) distance of x2 is at h and x3 is 2h */ + /* Let f"(x2) be the 2nd derivative equal everywhere. */ + /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */ + /* will reach at f3 = fm + h^2/2 f"m ; f" = (f1 -2f2 +f3 ) / h**2 */ + /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */ + /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */ +#ifdef NRCORIGINAL + t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/ +#else + t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */ + t= t- del*SQR(fp-fptt); +#endif + directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If delta was big enough we change it for a new direction */ +#ifdef DEBUG + 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); + 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); + printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt), + (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt)); + fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt), + (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt)); + 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); + 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); +#endif +#ifdef POWELLORIGINAL + if (t < 0.0) { /* Then we use it for new direction */ +#else + if (directest*t < 0.0) { /* Contradiction between both tests */ + printf("directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del); + printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt); + fprintf(ficlog,"directest= %.12lf (if <0 we include P0 Pn as new direction), t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del); + fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt); + } + if (directest < 0.0) { /* Then we use it for new direction */ +#endif +#ifdef DEBUGLINMIN + printf("Before linmin in direction P%d-P0\n",n); for (j=1;j<=n;j++) { - xi[j][ibig]=xi[j][n]; - xi[j][n]=xit[j]; + printf(" Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]); + fprintf(ficlog," Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]); + if(j % ncovmodel == 0){ + printf("\n"); + fprintf(ficlog,"\n"); + } } +#endif + linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/ +#ifdef DEBUGLINMIN + for (j=1;j<=n;j++) { + printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]); + fprintf(ficlog,"After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]); + if(j % ncovmodel == 0){ + printf("\n"); + fprintf(ficlog,"\n"); + } + } +#endif + for (j=1;j<=n;j++) { + xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */ + xi[j][n]=xit[j]; /* and this nth direction by the by the average p_0 p_n */ + } + printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig); + fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig); + #ifdef DEBUG printf("Direction changed last moved %d in place of ibig=%d, new last is the average:\n",n,ibig); fprintf(ficlog,"Direction changed last moved %d in place of ibig=%d, new last is the average:\n",n,ibig); @@ -1391,45 +2018,77 @@ void powell(double p[], double **xi, int printf("\n"); fprintf(ficlog,"\n"); #endif - } - } - } + } /* end of t or directest negative */ +#ifdef POWELLF1F3 +#else + } /* end if (fptt < fp) */ +#endif + } /* loop iteration */ } /**** Prevalence limit (stable or period prevalence) ****************/ -double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij) +double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij) { /* Computes the prevalence limit in each live state at age x by left multiplying the unit - matrix by transitions matrix until convergence is reached */ + matrix by transitions matrix until convergence is reached with precision ftolpl */ + /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1 = Wx-n Px-n ... Px-2 Px-1 I */ + /* Wx is row vector: population in state 1, population in state 2, population dead */ + /* or prevalence in state 1, prevalence in state 2, 0 */ + /* newm is the matrix after multiplications, its rows are identical at a factor */ + /* Initial matrix pimij */ + /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */ + /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */ + /* 0, 0 , 1} */ + /* + * and after some iteration: */ + /* {0.45504275246439968, 0.42731458730878791, 0.11764266022681241, */ + /* 0.45201005341706885, 0.42865420071559901, 0.11933574586733192, */ + /* 0, 0 , 1} */ + /* And prevalence by suppressing the deaths are close to identical rows in prlim: */ + /* {0.51571254859325999, 0.4842874514067399, */ + /* 0.51326036147820708, 0.48673963852179264} */ + /* If we start from prlim again, prlim tends to a constant matrix */ int i, ii,j,k; - double min, max, maxmin, maxmax,sumnew=0.; + double *min, *max, *meandiff, maxmax,sumnew=0.; /* double **matprod2(); */ /* test */ double **out, cov[NCOVMAX+1], **pmij(); double **newm; - double agefin, delaymax=50 ; /* Max number of years to converge */ + double agefin, delaymax=200. ; /* 100 Max number of years to converge */ + int ncvloop=0; + + min=vector(1,nlstate); + max=vector(1,nlstate); + meandiff=vector(1,nlstate); for (ii=1;ii<=nlstate+ndeath;ii++) for (j=1;j<=nlstate+ndeath;j++){ oldm[ii][j]=(ii==j ? 1.0 : 0.0); } - - cov[1]=1.; - - /* Even if hstepm = 1, at least one multiplication by the unit matrix */ + + cov[1]=1.; + + /* Even if hstepm = 1, at least one multiplication by the unit matrix */ + /* Start at agefin= age, computes the matrix of passage and loops decreasing agefin until convergence is reached */ for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){ + ncvloop++; newm=savm; /* Covariates have to be included here again */ cov[2]=agefin; - + if(nagesqr==1) + cov[3]= agefin*agefin;; for (k=1; k<=cptcovn;k++) { - cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; - /*printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtab[%d][Tvar[%d]]=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], ij, k, codtab[ij][Tvar[k]]);*/ - } - /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */ - /* for (k=1; k<=cptcovprod;k++) /\* Useless *\/ */ - /* cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; */ + /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */ + cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)]; + /* 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])]); */ + } + /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */ + /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */ + for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2]; + for (k=1; k<=cptcovprod;k++) /* Useless */ + /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */ + cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)]; /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/ /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/ @@ -1440,25 +2099,46 @@ double **prevalim(double **prlim, int nl savm=oldm; oldm=newm; - maxmax=0.; - for(j=1;j<=nlstate;j++){ - min=1.; - max=0.; - for(i=1; i<=nlstate; i++) { - sumnew=0; - for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k]; + + for(j=1; j<=nlstate; j++){ + max[j]=0.; + min[j]=1.; + } + for(i=1;i<=nlstate;i++){ + sumnew=0; + for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k]; + for(j=1; j<=nlstate; j++){ prlim[i][j]= newm[i][j]/(1-sumnew); - /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/ - max=FMAX(max,prlim[i][j]); - min=FMIN(min,prlim[i][j]); + max[j]=FMAX(max[j],prlim[i][j]); + min[j]=FMIN(min[j],prlim[i][j]); } - maxmin=max-min; - maxmax=FMAX(maxmax,maxmin); } + + maxmax=0.; + for(j=1; j<=nlstate; j++){ + meandiff[j]=(max[j]-min[j])/(max[j]+min[j])*2.; /* mean difference for each column */ + maxmax=FMAX(maxmax,meandiff[j]); + /* printf(" age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, j, meandiff[j],(int)agefin, j, max[j], j, min[j],maxmax); */ + } /* j loop */ + *ncvyear= (int)age- (int)agefin; + /* printf("maxmax=%lf maxmin=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, maxmin, ncvloop, (int)age, (int)agefin, *ncvyear); */ if(maxmax < ftolpl){ + /* printf("maxmax=%lf ncvloop=%ld, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */ + free_vector(min,1,nlstate); + free_vector(max,1,nlstate); + free_vector(meandiff,1,nlstate); return prlim; } - } + } /* age loop */ + /* After some age loop it doesn't converge */ + printf("Warning: the stable prevalence at age %d did not converge with the required precision (%g > ftolpl=%g) within %.0f years. Try to lower 'ftolpl'. \n\ +Earliest age to start was %d-%d=%d, ncvloop=%d, ncvyear=%d\n", (int)age, maxmax, ftolpl, delaymax, (int)age, (int)delaymax, (int)agefin, ncvloop, *ncvyear); + /* Try to lower 'ftol', for example from 1.e-8 to 6.e-9.\n", ftolpl, (int)age, (int)delaymax, (int)agefin, ncvloop, (int)age-(int)agefin); */ + free_vector(min,1,nlstate); + free_vector(max,1,nlstate); + free_vector(meandiff,1,nlstate); + + return prlim; /* should not reach here */ } /*************** transition probabilities ***************/ @@ -1480,7 +2160,7 @@ double **pmij(double **ps, double *cov, */ double s1, lnpijopii; /*double t34;*/ - int i,j,j1, nc, ii, jj; + int i,j, nc, ii, jj; for(i=1; i<= nlstate; i++){ for(j=1; jfunction)(xt); /* p xt[1]@8 is fine */ + /* fret=(*func)(xt); /\* p xt[1]@8 is fine *\/ */ + printf("Function = %.12lf ",fret); + for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); + printf("\n"); + free_vector(xt,1,n); + return fret; +} +#endif /*************** log-likelihood *************/ double func( double *x) @@ -1634,12 +2342,16 @@ double func( double *x) int s1, s2; double bbh, survp; long ipmx; + double agexact; /*extern weight */ /* We are differentiating ll according to initial status */ /* for (i=1;i<=npar;i++) printf("%f ", x[i]);*/ /*for(i=1;i(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */ @@ -1751,11 +2482,15 @@ double func( double *x) ipmx +=1; sw += weight[i]; ll[s[mw[mi][i]][i]] += 2*weight[i]*lli; + /* if (lli < log(mytinydouble)){ */ + /* 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); */ + /* 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]); */ + /* } */ } /* end of wave */ } /* end of individual */ } else if(mle==2){ for (i=1,ipmx=0, sw=0.; i<=imx; i++){ - for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i]; + for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; for(mi=1; mi<= wav[i]-1; mi++){ for (ii=1;ii<=nlstate+ndeath;ii++) for (j=1;j<=nlstate+ndeath;j++){ @@ -1764,9 +2499,12 @@ double func( double *x) } for(d=0; d<=dh[mi][i]; d++){ newm=savm; - cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + agexact=agev[mw[mi][i]][i]+d*stepm/YEARM; + cov[2]=agexact; + if(nagesqr==1) + cov[3]= agexact*agexact; for (kk=1; kk<=cptcovage;kk++) { - cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; } out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); @@ -1785,7 +2523,7 @@ double func( double *x) } /* end of individual */ } else if(mle==3){ /* exponential inter-extrapolation */ for (i=1,ipmx=0, sw=0.; i<=imx; i++){ - for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i]; + for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; for(mi=1; mi<= wav[i]-1; mi++){ for (ii=1;ii<=nlstate+ndeath;ii++) for (j=1;j<=nlstate+ndeath;j++){ @@ -1794,9 +2532,12 @@ double func( double *x) } for(d=0; d nlstate){ lli=log(out[s1][s2] - savm[s1][s2]); + } else if ( s2==-1 ) { /* alive */ + for (j=1,survp=0. ; j<=nlstate; j++) + survp += out[s1][j]; + lli= log(survp); }else{ lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */ } @@ -1850,7 +2598,7 @@ double func( double *x) } /* end of individual */ }else{ /* ml=5 no inter-extrapolation no jackson =0.8a */ for (i=1,ipmx=0, sw=0.; i<=imx; i++){ - for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i]; + for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i]; for(mi=1; mi<= wav[i]-1; mi++){ for (ii=1;ii<=nlstate+ndeath;ii++) for (j=1;j<=nlstate+ndeath;j++){ @@ -1859,9 +2607,12 @@ double func( double *x) } for(d=0; d nlstate && (mle <5) ){ /* Jackson */ lli=log(out[s1][s2] - savm[s1][s2]); - } else if (s2==-2) { + } else if ( s2==-1 ) { /* alive */ for (j=1,survp=0. ; j<=nlstate; j++) survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; lli= log(survp); @@ -1959,9 +2725,9 @@ double funcone( double *x) ll[s[mw[mi][i]][i]] += 2*weight[i]*lli; /*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]); */ if(globpr){ - fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\ + fprintf(ficresilk,"%9ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %11.6f %8.4f %8.3f\ %11.6f %11.6f %11.6f ", \ - num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i], + num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw, 2*weight[i]*lli,out[s1][s2],savm[s1][s2]); for(k=1,llt=0.,l=0.; k<=nlstate; k++){ llt +=ll[k]*gipmx/gsw; @@ -1993,14 +2759,14 @@ void likelione(FILE *ficres,double p[], int k; if(*globpri !=0){ /* Just counts and sums, no printings */ - strcpy(fileresilk,"ilk"); - strcat(fileresilk,fileres); + strcpy(fileresilk,"ILK_"); + strcat(fileresilk,fileresu); if((ficresilk=fopen(fileresilk,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresilk); fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk); } - 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"); - fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav "); + fprintf(ficresilk, "#individual(line's_record) count ageb ageend s1 s2 wave# effective_wave# number_of_matrices_product pij weight weight/gpw -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n"); + fprintf(ficresilk, "#num_i ageb agend i s1 s2 mi mw dh likeli weight %%weight 2wlli out sav "); /* i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */ for(k=1; k<=nlstate; k++) fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k); @@ -2010,9 +2776,23 @@ void likelione(FILE *ficres,double p[], *fretone=(*funcone)(p); if(*globpri !=0){ fclose(ficresilk); - fprintf(fichtm,"\n
File of contributions to the likelihood: %s
\n",subdirf(fileresilk),subdirf(fileresilk)); - fflush(fichtm); - } + if (mle ==0) + fprintf(fichtm,"\n
File of contributions to the likelihood computed with initial parameters and mle = %d.",mle); + else if(mle >=1) + fprintf(fichtm,"\n
File of contributions to the likelihood computed with optimized parameters mle = %d.",mle); + fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: %s
\n",subdirf(fileresilk),subdirf(fileresilk)); + + + for (k=1; k<= nlstate ; k++) { + fprintf(fichtm,"
- Probability p%dj by origin %d and destination j. Dot's sizes are related to corresponding weight: %s-p%dj.png
\ +",k,k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k,subdirf2(optionfilefiname,"ILK_"),k); + } + fprintf(fichtm,"
- The function drawn is -2Log(L) in Log scale: by state of origin %s-ori.png
\ +",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_")); + fprintf(fichtm,"
- and by state of destination %s-dest.png
\ +",subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_"),subdirf2(optionfilefiname,"ILK_")); + fflush(fichtm); + } return; } @@ -2021,17 +2801,29 @@ void likelione(FILE *ficres,double p[], void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double [])) { - int i,j, iter; + int i,j, iter=0; double **xi; double fret; double fretone; /* Only one call to likelihood */ /* char filerespow[FILENAMELENGTH];*/ + +#ifdef NLOPT + int creturn; + nlopt_opt opt; + /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */ + double *lb; + double minf; /* the minimum objective value, upon return */ + double * p1; /* Shifted parameters from 0 instead of 1 */ + myfunc_data dinst, *d = &dinst; +#endif + + xi=matrix(1,npar,1,npar); for (i=1;i<=npar;i++) for (j=1;j<=npar;j++) xi[i][j]=(i==j ? 1.0 : 0.0); printf("Powell\n"); fprintf(ficlog,"Powell\n"); - strcpy(filerespow,"pow"); + strcpy(filerespow,"POW_"); strcat(filerespow,fileres); if((ficrespow=fopen(filerespow,"w"))==NULL) { printf("Problem with resultfile: %s\n", filerespow); @@ -2042,37 +2834,64 @@ void mlikeli(FILE *ficres,double p[], in for(j=1;j<=nlstate+ndeath;j++) if(j!=i)fprintf(ficrespow," p%1d%1d",i,j); fprintf(ficrespow,"\n"); - +#ifdef POWELL powell(p,xi,npar,ftol,&iter,&fret,func); +#endif +#ifdef NLOPT +#ifdef NEWUOA + opt = nlopt_create(NLOPT_LN_NEWUOA,npar); +#else + opt = nlopt_create(NLOPT_LN_BOBYQA,npar); +#endif + lb=vector(0,npar-1); + for (i=0;ifunction = func; + printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d)); + nlopt_set_min_objective(opt, myfunc, d); + nlopt_set_xtol_rel(opt, ftol); + if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) { + printf("nlopt failed! %d\n",creturn); + } + else { + printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT); + printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf); + iter=1; /* not equal */ + } + nlopt_destroy(opt); +#endif free_matrix(xi,1,npar,1,npar); fclose(ficrespow); - printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p)); - fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p)); - fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p)); + printf("\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p)); + fprintf(ficlog,"\n#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p)); + fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p)); } /**** Computes Hessian and covariance matrix ***/ -void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double [])) +void hesscov(double **matcov, double **hess, double p[], int npar, double delti[], double ftolhess, double (*func)(double [])) { double **a,**y,*x,pd; - double **hess; - int i, j,jk; + /* double **hess; */ + int i, j; int *indx; double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar); - double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar); + double hessij(double p[], double **hess, double delti[], int i, int j,double (*func)(double []),int npar); void lubksb(double **a, int npar, int *indx, double b[]) ; void ludcmp(double **a, int npar, int *indx, double *d) ; double gompertz(double p[]); - hess=matrix(1,npar,1,npar); + /* hess=matrix(1,npar,1,npar); */ printf("\nCalculation of the hessian matrix. Wait...\n"); fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n"); for (i=1;i<=npar;i++){ - printf("%d",i);fflush(stdout); - fprintf(ficlog,"%d",i);fflush(ficlog); + printf("%d-",i);fflush(stdout); + fprintf(ficlog,"%d-",i);fflush(ficlog); hess[i][i]=hessii(p,ftolhess,i,delti,func,npar); @@ -2083,9 +2902,9 @@ void hesscov(double **matcov, double p[] for (i=1;i<=npar;i++) { for (j=1;j<=npar;j++) { if (j>i) { - printf(".%d%d",i,j);fflush(stdout); - fprintf(ficlog,".%d%d",i,j);fflush(ficlog); - hess[i][j]=hessij(p,delti,i,j,func,npar); + printf(".%d-%d",i,j);fflush(stdout); + fprintf(ficlog,".%d-%d",i,j);fflush(ficlog); + hess[i][j]=hessij(p,hess, delti,i,j,func,npar); hess[j][i]=hess[i][j]; /*printf(" %lf ",hess[i][j]);*/ @@ -2119,53 +2938,78 @@ void hesscov(double **matcov, double p[] fprintf(ficlog,"\n#Hessian matrix#\n"); for (i=1;i<=npar;i++) { for (j=1;j<=npar;j++) { - printf("%.3e ",hess[i][j]); - fprintf(ficlog,"%.3e ",hess[i][j]); + printf("%.6e ",hess[i][j]); + fprintf(ficlog,"%.6e ",hess[i][j]); } printf("\n"); fprintf(ficlog,"\n"); } + /* printf("\n#Covariance matrix#\n"); */ + /* fprintf(ficlog,"\n#Covariance matrix#\n"); */ + /* for (i=1;i<=npar;i++) { */ + /* for (j=1;j<=npar;j++) { */ + /* printf("%.6e ",matcov[i][j]); */ + /* fprintf(ficlog,"%.6e ",matcov[i][j]); */ + /* } */ + /* printf("\n"); */ + /* fprintf(ficlog,"\n"); */ + /* } */ + /* Recompute Inverse */ - for (i=1;i<=npar;i++) - for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; - ludcmp(a,npar,indx,&pd); + /* for (i=1;i<=npar;i++) */ + /* for (j=1;j<=npar;j++) a[i][j]=matcov[i][j]; */ + /* ludcmp(a,npar,indx,&pd); */ + + /* printf("\n#Hessian matrix recomputed#\n"); */ + + /* for (j=1;j<=npar;j++) { */ + /* for (i=1;i<=npar;i++) x[i]=0; */ + /* x[j]=1; */ + /* lubksb(a,npar,indx,x); */ + /* for (i=1;i<=npar;i++){ */ + /* y[i][j]=x[i]; */ + /* printf("%.3e ",y[i][j]); */ + /* fprintf(ficlog,"%.3e ",y[i][j]); */ + /* } */ + /* printf("\n"); */ + /* fprintf(ficlog,"\n"); */ + /* } */ - /* printf("\n#Hessian matrix recomputed#\n"); + /* Verifying the inverse matrix */ +#ifdef DEBUGHESS + y=matprod2(y,hess,1,npar,1,npar,1,npar,matcov); + + printf("\n#Verification: multiplying the matrix of covariance by the Hessian matrix, should be unity:#\n"); + fprintf(ficlog,"\n#Verification: multiplying the matrix of covariance by the Hessian matrix. Should be unity:#\n"); for (j=1;j<=npar;j++) { - for (i=1;i<=npar;i++) x[i]=0; - x[j]=1; - lubksb(a,npar,indx,x); for (i=1;i<=npar;i++){ - y[i][j]=x[i]; - printf("%.3e ",y[i][j]); - fprintf(ficlog,"%.3e ",y[i][j]); + printf("%.2f ",y[i][j]); + fprintf(ficlog,"%.2f ",y[i][j]); } printf("\n"); fprintf(ficlog,"\n"); } - */ +#endif free_matrix(a,1,npar,1,npar); free_matrix(y,1,npar,1,npar); free_vector(x,1,npar); free_ivector(indx,1,npar); - free_matrix(hess,1,npar,1,npar); + /* free_matrix(hess,1,npar,1,npar); */ } /*************** hessian matrix ****************/ double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar) -{ +{ /* Around values of x, computes the function func and returns the scales delti and hessian */ int i; int l=1, lmax=20; - double k1,k2; + double k1,k2, res, fx; double p2[MAXPARM+1]; /* identical to x */ - double res; double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; - double fx; int k=0,kmax=10; double l1; @@ -2181,9 +3025,9 @@ double hessii(double x[], double delta, p2[theta]=x[theta]-delt; k2=func(p2)-fx; /*res= (k1-2.0*fx+k2)/delt/delt; */ - res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */ + res= (k1+k2)/delt/delt/2.; /* Divided by 2 because L and not 2*L */ -#ifdef DEBUGHESS +#ifdef DEBUGHESSII 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); 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); #endif @@ -2192,53 +3036,130 @@ double hessii(double x[], double delta, k=kmax; } else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */ - k=kmax; l=lmax*10.; + k=kmax; l=lmax*10; } else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ delts=delt; } - } + } /* End loop k */ } delti[theta]=delts; return res; } -double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) +double hessij( double x[], double **hess, double delti[], int thetai,int thetaj,double (*func)(double []),int npar) { int i; - int l=1, l1, lmax=20; + int l=1, lmax=20; double k1,k2,k3,k4,res,fx; double p2[MAXPARM+1]; - int k; + int k, kmax=1; + double v1, v2, cv12, lc1, lc2; + int firstime=0; + fx=func(x); - for (k=1; k<=2; k++) { + for (k=1; k<=kmax; k=k+10) { for (i=1;i<=npar;i++) p2[i]=x[i]; - p2[thetai]=x[thetai]+delti[thetai]/k; - p2[thetaj]=x[thetaj]+delti[thetaj]/k; + p2[thetai]=x[thetai]+delti[thetai]*k; + p2[thetaj]=x[thetaj]+delti[thetaj]*k; k1=func(p2)-fx; - p2[thetai]=x[thetai]+delti[thetai]/k; - p2[thetaj]=x[thetaj]-delti[thetaj]/k; + p2[thetai]=x[thetai]+delti[thetai]*k; + p2[thetaj]=x[thetaj]-delti[thetaj]*k; k2=func(p2)-fx; - p2[thetai]=x[thetai]-delti[thetai]/k; - p2[thetaj]=x[thetaj]+delti[thetaj]/k; + p2[thetai]=x[thetai]-delti[thetai]*k; + p2[thetaj]=x[thetaj]+delti[thetaj]*k; k3=func(p2)-fx; - p2[thetai]=x[thetai]-delti[thetai]/k; - p2[thetaj]=x[thetaj]-delti[thetaj]/k; + p2[thetai]=x[thetai]-delti[thetai]*k; + p2[thetaj]=x[thetaj]-delti[thetaj]*k; k4=func(p2)-fx; - res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */ -#ifdef DEBUG - 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); - 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); + res=(k1-k2-k3+k4)/4.0/delti[thetai]/k/delti[thetaj]/k/2.; /* Because of L not 2*L */ + if(k1*k2*k3*k4 <0.){ + firstime=1; + kmax=kmax+10; + } + if(kmax >=10 || firstime ==1){ + printf("Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol); + fprintf(ficlog,"Warning: directions %d-%d, you are not estimating the Hessian at the exact maximum likelihood; increase ftol=%.2e\n",thetai,thetaj, ftol); + 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); + 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); + } +#ifdef DEBUGHESSIJ + v1=hess[thetai][thetai]; + v2=hess[thetaj][thetaj]; + cv12=res; + /* Computing eigen value of Hessian matrix */ + lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.; + lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.; + if ((lc2 <0) || (lc1 <0) ){ + printf("Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj); + fprintf(ficlog, "Warning: sub Hessian matrix '%d%d' does not have positive eigen values \n",thetai,thetaj); + 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); + 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); + } #endif } return res; } + /* Not done yet: Was supposed to fix if not exactly at the maximum */ +/* double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) */ +/* { */ +/* int i; */ +/* int l=1, lmax=20; */ +/* double k1,k2,k3,k4,res,fx; */ +/* double p2[MAXPARM+1]; */ +/* double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4; */ +/* int k=0,kmax=10; */ +/* double l1; */ + +/* fx=func(x); */ +/* for(l=0 ; l <=lmax; l++){ /\* Enlarging the zone around the Maximum *\/ */ +/* l1=pow(10,l); */ +/* delts=delt; */ +/* for(k=1 ; k khi/nkhif) || (k2 >khi/nkhif) || (k4 >khi/nkhif) || (k4 >khi/nkhif)){ /\* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. *\/ */ +/* k=kmax; l=lmax*10; */ +/* } */ +/* else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ */ +/* delts=delt; */ +/* } */ +/* } /\* End loop k *\/ */ +/* } */ +/* delti[theta]=delts; */ +/* return res; */ +/* } */ + + /************** Inverse of matrix **************/ void ludcmp(double **a, int n, int *indx, double *d) { @@ -2315,29 +3236,65 @@ void lubksb(double **a, int n, int *indx void pstamp(FILE *fichier) { - fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,fullversion,strstart); + fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart); } /************ Frequencies ********************/ -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[]) +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[],\ + int firstpass, int lastpass, int stepm, int weightopt, char model[]) { /* Some frequencies */ - int i, m, jk, k1,i1, j1, bool, z1,j; + int i, m, jk, j1, bool, z1,j; + int mi; /* Effective wave */ int first; double ***freq; /* Frequencies */ double *pp, **prop; double pos,posprop, k2, dateintsum=0,k2cpt=0; - char fileresp[FILENAMELENGTH]; - + char fileresp[FILENAMELENGTH], fileresphtm[FILENAMELENGTH], fileresphtmfr[FILENAMELENGTH]; + double agebegin, ageend; + pp=vector(1,nlstate); prop=matrix(1,nlstate,iagemin,iagemax+3); - strcpy(fileresp,"p"); - strcat(fileresp,fileres); + strcpy(fileresp,"P_"); + strcat(fileresp,fileresu); + /*strcat(fileresphtm,fileresu);*/ if((ficresp=fopen(fileresp,"w"))==NULL) { printf("Problem with prevalence resultfile: %s\n", fileresp); fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp); exit(0); } + + strcpy(fileresphtm,subdirfext(optionfilefiname,"PHTM_",".htm")); + if((ficresphtm=fopen(fileresphtm,"w"))==NULL) { + printf("Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno)); + fprintf(ficlog,"Problem with prevalence HTM resultfile '%s' with errno='%s'\n",fileresphtm,strerror(errno)); + fflush(ficlog); + exit(70); + } + else{ + fprintf(ficresphtm,"\nIMaCh PHTM_ %s\n %s
%s \ +
\n\ +Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s
\n",\ + fileresphtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model); + } + fprintf(ficresphtm,"Current page is file %s
\n\n

Frequencies and prevalence by age at begin of transition

\n",fileresphtm, fileresphtm); + + strcpy(fileresphtmfr,subdirfext(optionfilefiname,"PHTMFR_",".htm")); + if((ficresphtmfr=fopen(fileresphtmfr,"w"))==NULL) { + printf("Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno)); + fprintf(ficlog,"Problem with frequency table HTM resultfile '%s' with errno='%s'\n",fileresphtmfr,strerror(errno)); + fflush(ficlog); + exit(70); + } + else{ + fprintf(ficresphtmfr,"\nIMaCh PHTM_Frequency table %s\n %s
%s \ +
\n\ +Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=1+age+%s
\n",\ + fileresphtmfr,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model); + } + fprintf(ficresphtmfr,"Current page is file %s
\n\n

Frequencies of all effective transitions by age at begin of transition

Unknown status is -1
\n",fileresphtmfr, fileresphtmfr); + freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3); j1=0; @@ -2346,11 +3303,7 @@ void freqsummary(char fileres[], int ia first=1; - /* for(k1=1; k1<=j ; k1++){ /* Loop on covariates */ - /* for(i1=1; i1<=ncodemax[k1];i1++){ /* Now it is 2 */ - /* j1++; -*/ - for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){ + for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){ /* Loop on covariates combination */ /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]); scanf("%d", i);*/ for (i=-5; i<=nlstate+ndeath; i++) @@ -2364,63 +3317,110 @@ void freqsummary(char fileres[], int ia dateintsum=0; k2cpt=0; - for (i=1; i<=imx; i++) { + for (i=1; i<=imx; i++) { /* For each individual i */ bool=1; - if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */ + if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */ for (z1=1; z1<=cptcoveff; z1++) - if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]){ + if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){ /* Tests if the value of each of the covariates of i is equal to filter j1 */ bool=0; - /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtab[%d][%d]=%d, nbcode[Tvaraff][codtab[%d][%d]=%d, j1=%d\n", - bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtab[j1][z1], - j1,z1,nbcode[Tvaraff[z1]][codtab[j1][z1]],j1);*/ - /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtab[7][3]=1 and nbcde[3][?]=1*/ + /* 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", + bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1), + j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/ + /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/ } - } - + } /* cptcovn > 0 */ + if (bool==1){ - for(m=firstpass; m<=lastpass; m++){ - k2=anint[m][i]+(mint[m][i]/12.); - /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/ - if(agev[m][i]==0) agev[m][i]=iagemax+1; - if(agev[m][i]==1) agev[m][i]=iagemax+2; - if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i]; + /* for(m=firstpass; m<=lastpass; m++){ */ + for(mi=1; mi=firstpass && m <=lastpass){ + k2=anint[m][i]+(mint[m][i]/12.); + /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/ + if(agev[m][i]==0) agev[m][i]=iagemax+1; /* All ages equal to 0 are in iagemax+1 */ + if(agev[m][i]==1) agev[m][i]=iagemax+2; /* All ages equal to 1 are in iagemax+2 */ + if (s[m][i]>0 && s[m][i]<=nlstate) /* If status at wave m is known and a live state */ + prop[s[m][i]][(int)agev[m][i]] += weight[i]; /* At age of beginning of transition, where status is known */ if (m1) && (agev[m][i]< (iagemax+3))) { - dateintsum=dateintsum+k2; - k2cpt++; + /* if(s[m][i]==4 && s[m+1][i]==4) */ + /* printf(" num=%ld m=%d, i=%d s1=%d s2=%d agev at m=%d\n", num[i], m, i,s[m][i],s[m+1][i], (int)agev[m][i]); */ + if(s[m][i]==-1) + printf(" num=%ld m=%d, i=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[i], m, i,s[m][i],s[m+1][i], (int)agev[m][i],agebegin, ageend, (int)((agebegin+ageend)/2.)); + freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i]; /* At age of beginning of transition, where status is known */ + /* freq[s[m][i]][s[m+1][i]][(int)((agebegin+ageend)/2.)] += weight[i]; */ + freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i]; /* Total is in iagemax+3 *//* At age of beginning of transition, where status is known */ } - /*}*/ - } - } - } /* end i */ + } + if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3)) && (anint[m][i]!=9999) && (mint[m][i]!=99)) { + dateintsum=dateintsum+k2; + k2cpt++; + /* printf("i=%ld dateintmean = %lf dateintsum=%lf k2cpt=%lf k2=%lf\n",i, dateintsum/k2cpt, dateintsum,k2cpt, k2); */ + } + /*}*/ + } /* end m */ + } /* end bool */ + } /* end i = 1 to imx */ /* fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/ pstamp(ficresp); if (cptcovn>0) { fprintf(ficresp, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficresp, "**********\n#"); + fprintf(ficresphtm, "\n

********** Variable "); + fprintf(ficresphtmfr, "\n

********** Variable "); + for (z1=1; z1<=cptcoveff; z1++){ + fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); + fprintf(ficresphtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); + fprintf(ficresphtmfr, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); + } + fprintf(ficresp, "**********\n#"); + fprintf(ficresphtm, "**********

\n"); + fprintf(ficresphtmfr, "**********\n"); fprintf(ficlog, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); - fprintf(ficlog, "**********\n#"); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); + fprintf(ficlog, "**********\n"); } - for(i=1; i<=nlstate;i++) + fprintf(ficresphtm,""); + for(i=1; i<=nlstate;i++) { fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i); + fprintf(ficresphtm, "",i,i); + } fprintf(ficresp, "\n"); + fprintf(ficresphtm, "\n"); + + /* Header of frequency table by age */ + fprintf(ficresphtmfr,"
AgePrev(%d)N(%d)N
"); + fprintf(ficresphtmfr," "); + for(jk=-1; jk <=nlstate+ndeath; jk++){ + for(m=-1; m <=nlstate+ndeath; m++){ + if(jk!=0 && m!=0) + fprintf(ficresphtmfr," ",jk,m); + } + } + fprintf(ficresphtmfr, "\n"); + /* For each age */ for(i=iagemin; i <= iagemax+3; i++){ - if(i==iagemax+3){ + fprintf(ficresphtm,""); + if(i==iagemax+1){ + fprintf(ficlog,"1"); + fprintf(ficresphtmfr," "); + }else if(i==iagemax+2){ + fprintf(ficlog,"0"); + fprintf(ficresphtmfr," "); + }else if(i==iagemax+3){ fprintf(ficlog,"Total"); + fprintf(ficresphtmfr," "); }else{ if(first==1){ first=0; printf("See log file for details...\n"); } + fprintf(ficresphtmfr," ",i); fprintf(ficlog,"Age %d", i); } for(jk=1; jk <=nlstate ; jk++){ @@ -2463,32 +3463,47 @@ void freqsummary(char fileres[], int ia if( i <= iagemax){ if(pos>=1.e-5){ fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop); + fprintf(ficresphtm,"",i,prop[jk][i]/posprop, prop[jk][i],posprop); /*probs[i][jk][j1]= pp[jk]/pos;*/ /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/ } - else + else{ fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop); + fprintf(ficresphtm,"",i, prop[jk][i],posprop); + } } } - for(jk=-1; jk <=nlstate+ndeath; jk++) - for(m=-1; m <=nlstate+ndeath; m++) - if(freq[jk][m][i] !=0 ) { - if(first==1) - printf(" %d%d=%.0f",jk,m,freq[jk][m][i]); + for(jk=-1; jk <=nlstate+ndeath; jk++){ + for(m=-1; m <=nlstate+ndeath; m++){ + if(freq[jk][m][i] !=0 ) { /* minimizing output */ + if(first==1){ + printf(" %d%d=%.0f",jk,m,freq[jk][m][i]); + } fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]); } - if(i <= iagemax) + if(jk!=0 && m!=0) + fprintf(ficresphtmfr," ",freq[jk][m][i]); + } + } + fprintf(ficresphtmfr,"\n "); + if(i <= iagemax){ fprintf(ficresp,"\n"); + fprintf(ficresphtm,"\n"); + } if(first==1) printf("Others in log...\n"); fprintf(ficlog,"\n"); - } + } /* end loop i */ + fprintf(ficresphtm,"
Age%d%d
0
Unknown
Total
%d%d%.5f%.0f%.0f%dNaNq%.0f%.0f%.0f
\n"); + fprintf(ficresphtmfr,"\n"); /*}*/ - } + } /* end j1 */ dateintmean=dateintsum/k2cpt; fclose(ficresp); + fclose(ficresphtm); + fclose(ficresphtmfr); free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3); free_vector(pp,1,nlstate); free_matrix(prop,1,nlstate,iagemin, iagemax+3); @@ -2503,10 +3518,13 @@ void prevalence(double ***probs, double We still use firstpass and lastpass as another selection. */ - int i, m, jk, k1, i1, j1, bool, z1,j; - double ***freq; /* Frequencies */ - double *pp, **prop; - double pos,posprop; + int i, m, jk, j1, bool, z1,j; + int mi; /* Effective wave */ + int iage; + double agebegin, ageend; + + double **prop; + double posprop; double y2; /* in fractional years */ int iagemin, iagemax; int first; /** to stop verbosity which is redirected to log file */ @@ -2523,54 +3541,57 @@ void prevalence(double ***probs, double first=1; for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){ - /*for(i1=1; i1<=ncodemax[k1];i1++){ - j1++;*/ - - for (i=1; i<=nlstate; i++) - for(m=iagemin; m <= iagemax+3; m++) - prop[i][m]=0.0; - - for (i=1; i<=imx; i++) { /* Each individual */ - bool=1; - if (cptcovn>0) { - for (z1=1; z1<=cptcoveff; z1++) - if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) - bool=0; - } - if (bool==1) { - for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/ + for (i=1; i<=nlstate; i++) + for(iage=iagemin; iage <= iagemax+3; iage++) + prop[i][iage]=0.0; + + for (i=1; i<=imx; i++) { /* Each individual */ + bool=1; + if (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */ + for (z1=1; z1<=cptcoveff; z1++) + if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) + bool=0; + } + if (bool==1) { + /* for(m=firstpass; m<=lastpass; m++){/\* Other selection (we can limit to certain interviews*\/ */ + for(mi=1; mi=firstpass && m <=lastpass){ y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */ if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */ if(agev[m][i]==0) agev[m][i]=iagemax+1; if(agev[m][i]==1) agev[m][i]=iagemax+2; if((int)agev[m][i] iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); - if (s[m][i]>0 && s[m][i]<=nlstate) { + if (s[m][i]>0 && s[m][i]<=nlstate) { /*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]]);*/ - prop[s[m][i]][(int)agev[m][i]] += weight[i]; - prop[s[m][i]][iagemax+3] += weight[i]; - } - } + prop[s[m][i]][(int)agev[m][i]] += weight[i];/* At age of beginning of transition, where status is known */ + prop[s[m][i]][iagemax+3] += weight[i]; + } /* end valid statuses */ + } /* end selection of dates */ } /* end selection of waves */ - } - } - for(i=iagemin; i <= iagemax+3; i++){ - for(jk=1,posprop=0; jk <=nlstate ; jk++) { - posprop += prop[jk][i]; - } - - for(jk=1; jk <=nlstate ; jk++){ - if( i <= iagemax){ - if(posprop>=1.e-5){ - probs[i][jk][j1]= prop[jk][i]/posprop; - } else{ - if(first==1){ - first=0; - 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]); - } + } /* end effective waves */ + } /* end bool */ + } + for(i=iagemin; i <= iagemax+3; i++){ + for(jk=1,posprop=0; jk <=nlstate ; jk++) { + posprop += prop[jk][i]; + } + + for(jk=1; jk <=nlstate ; jk++){ + if( i <= iagemax){ + if(posprop>=1.e-5){ + probs[i][jk][j1]= prop[jk][i]/posprop; + } else{ + if(first==1){ + first=0; + 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]); } - } - }/* end jk */ - }/* end i */ + } + } + }/* end jk */ + }/* end i */ /*} *//* end i1 */ } /* end j1 */ @@ -2593,31 +3614,61 @@ void concatwav(int wav[], int **dh, int int i, mi, m; /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1; double sum=0., jmean=0.;*/ - int first; + int first, firstwo; int j, k=0,jk, ju, jl; double sum=0.; first=0; - jmin=1e+5; + firstwo=0; + jmin=100000; jmax=-1; jmean=0.; - for(i=1; i<=imx; i++){ + for(i=1; i<=imx; i++){ /* For simple cases and if state is death */ mi=0; m=firstpass; - while(s[m][i] <= nlstate){ - if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5) + while(s[m][i] <= nlstate){ /* a live state */ + if(s[m][i]>=1 || s[m][i]==-4 || s[m][i]==-5){ /* Since 0.98r4 if status=-2 vital status is really unknown, wave should be skipped */ mw[++mi][i]=m; - if(m >=lastpass) + } + if(m >=lastpass){ + if(s[m][i]==-1 && (int) andc[i] == 9999 && (int)anint[m][i] != 9999){ + printf("Information! Unknown health status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m); + fprintf(ficlog,"Information! Unknown status for individual %ld line=%d occurred at last wave %d at known date %d/%d. Please, check if your unknown date of death %d/%d means a live state %d at wave %d. This case(%d)/wave(%d) contributes to the likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], (int) moisdc[i], (int) andc[i], s[m][i], m, i, m); + mw[++mi][i]=m; + } + if(s[m][i]==-2){ /* Vital status is really unknown */ + nbwarn++; + if((int)anint[m][i] == 9999){ /* Has the vital status really been verified? */ + printf("Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m); + fprintf(ficlog,"Warning! Vital status for individual %ld (line=%d) at last wave %d interviewed at date %d/%d is unknown %d. Please, check if the vital status and the date of death %d/%d are really unknown. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,lastpass,(int)mint[m][i],(int)anint[m][i], s[m][i], (int) moisdc[i], (int) andc[i], i, m); + } + break; + } break; + } else m++; }/* end while */ - if (s[m][i] > nlstate){ + + /* After last pass */ + if (s[m][i] > nlstate){ /* In a death state */ mi++; /* Death is another wave */ /* if(mi==0) never been interviewed correctly before death */ /* Only death is a correct wave */ mw[mi][i]=m; + }else if ((int) andc[i] != 9999) { /* Status is either death or negative. A death occured after lastpass, we can't take it into account because of potential bias */ + /* m++; */ + /* mi++; */ + /* s[m][i]=nlstate+1; /\* We are setting the status to the last of non live state *\/ */ + /* mw[mi][i]=m; */ + nberr++; + if(firstwo==0){ + printf("Error! Death for individual %ld line=%d occurred %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m ); + fprintf(ficlog,"Error! Death for individual %ld line=%d occurred %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m ); + firstwo=1; + }else if(firstwo==1){ + fprintf(ficlog,"Error! Death for individual %ld line=%d occurred %d/%d after last wave %d interviewed at %d/%d. Potential bias if other individuals are still alive at this date but ignored. This case (%d)/wave (%d) is skipped, no contribution to likelihood.\nOthers in log file only\n",num[i],i,(int) moisdc[i], (int) andc[i], lastpass,(int)mint[m][i],(int)anint[m][i], i,m ); + } } - wav[i]=mi; if(mi==0){ nbwarn++; @@ -2630,7 +3681,9 @@ void concatwav(int wav[], int **dh, int } } /* end mi==0 */ } /* End individuals */ + /* wav and mw are no more changed */ + for(i=1; i<=imx; i++){ for(mi=1; mi ncodemax[j]) break; - } /* end of loop on */ - } /* end of loop on modality */ + ij=0; /* ij is similar to i but can jump over null modalities */ + 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*/ + if (Ndum[i] == 0) { /* If nobody responded to this modality k */ + break; + } + ij++; + 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.*/ + cptcode = ij; /* New max modality for covar j */ + } /* end of loop on modality i=-1 to 1 or more */ + + /* for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */ + /* /\*recode from 0 *\/ */ + /* k is a modality. If we have model=V1+V1*sex */ + /* then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */ + /* But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */ + /* } */ + /* /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */ + /* if (ij > ncodemax[j]) { */ + /* printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */ + /* fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */ + /* break; */ + /* } */ + /* } /\* end of loop on modality k *\/ */ } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/ for (k=-1; k< maxncov; k++) Ndum[k]=0; - for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and age */ + for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ - Ndum[ij]++; + Ndum[ij]++; /* Might be supersed V1 + V1*age */ } - ij=1; + ij=0; for (i=0; i<= maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */ /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/ if((Ndum[i]!=0) && (i<=ncovcol)){ + ij++; /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/ Tvaraff[ij]=i; /*For printing (unclear) */ - ij++; - }else - Tvaraff[ij]=0; + }else{ + /* Tvaraff[ij]=0; */ + } } - ij--; + /* ij--; */ cptcoveff=ij; /*Number of total covariates*/ } @@ -2837,7 +3911,7 @@ void evsij(double ***eij, double x[], in { /* Health expectancies, no variances */ - int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2; + int i, j, nhstepm, hstepm, h, nstepm; int nhstepma, nstepma; /* Decreasing with age */ double age, agelim, hf; double ***p3mat; @@ -3151,15 +4225,18 @@ void cvevsij(double ***eij, double x[], } /************ Variance ******************/ -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[]) + void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[]) { /* Variance of health expectancies */ /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/ /* double **newm;*/ + /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/ + + int movingaverage(); double **dnewm,**doldm; double **dnewmp,**doldmp; int i, j, nhstepm, hstepm, h, nstepm ; - int k, cptcode; + int k; double *xp; double **gp, **gm; /* for var eij */ double ***gradg, ***trgradg; /*for var eij */ @@ -3177,11 +4254,11 @@ void varevsij(char optionfilefiname[], d if(popbased==1){ if(mobilav!=0) - strcpy(digitp,"-populbased-mobilav-"); - else strcpy(digitp,"-populbased-nomobil-"); + strcpy(digitp,"-POPULBASED-MOBILAV_"); + else strcpy(digitp,"-POPULBASED-NOMOBIL_"); } else - strcpy(digitp,"-stablbased-"); + strcpy(digitp,"-STABLBASED_"); if (mobilav!=0) { mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); @@ -3191,18 +4268,17 @@ void varevsij(char optionfilefiname[], d } } - strcpy(fileresprobmorprev,"prmorprev"); + strcpy(fileresprobmorprev,"PRMORPREV-"); sprintf(digit,"%-d",ij); /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/ strcat(fileresprobmorprev,digit); /* Tvar to be done */ strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */ - strcat(fileresprobmorprev,fileres); + strcat(fileresprobmorprev,fileresu); if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresprobmorprev); fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev); } printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev); - fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev); pstamp(ficresprobmorprev); 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); @@ -3213,8 +4289,10 @@ void varevsij(char optionfilefiname[], d fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j); } fprintf(ficresprobmorprev,"\n"); + fprintf(ficgp,"\n# Routine varevsij"); - /* fprintf(fichtm, "#Local time at start: %s", strstart);*/ + fprintf(ficgp,"\nunset title \n"); +/* fprintf(fichtm, "#Local time at start: %s", strstart);*/ fprintf(fichtm,"\n

  • Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)

    • \n"); fprintf(fichtm,"\n
    %s
    \n",digitp); /* } */ @@ -3249,9 +4327,9 @@ void varevsij(char optionfilefiname[], d /* For example we decided to compute the life expectancy with the smallest unit */ /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. nhstepm is the number of hstepm from age to agelim - nstepm is the number of stepm from age to agelin. - Look at function hpijx to understand why (it is linked to memory size questions) */ - /* We decided (b) to get a life expectancy respecting the most precise curvature of the + nstepm is the number of stepm from age to agelim. + Look at function hpijx to understand why because of memory size limitations, + we decided (b) to get a life expectancy respecting the most precise curvature of the survival function given by stepm (the optimization length). Unfortunately it means that if the survival funtion is printed every two years of age and if you sum them up and add 1 year (area under the trapezoids) you won't get the same @@ -3272,8 +4350,8 @@ void varevsij(char optionfilefiname[], d for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/ xp[i] = x[i] + (i==theta ?delti[theta]:0); } - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); + + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij); if (popbased==1) { if(mobilav ==0){ @@ -3285,13 +4363,14 @@ void varevsij(char optionfilefiname[], d } } + hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); /* Returns p3mat[i][j][h] for h=1 to nhstepm */ for(j=1; j<= nlstate; j++){ for(h=0; h<=nhstepm; h++){ for(i=1, gp[h][j]=0.;i<=nlstate;i++) gp[h][j] += prlim[i][i]*p3mat[i][j][h]; } } - /* This for computing probability of death (h=1 means + /* Next for computing probability of death (h=1 means computed over hstepm matrices product = hstepm*stepm months) as a weighted average of prlim. */ @@ -3303,8 +4382,8 @@ void varevsij(char optionfilefiname[], d for(i=1; i<=npar; i++) /* Computes gradient x - delta */ xp[i] = x[i] - (i==theta ?delti[theta]:0); - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); + + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp, ij); if (popbased==1) { if(mobilav ==0){ @@ -3316,6 +4395,8 @@ void varevsij(char optionfilefiname[], d } } + hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); + for(j=1; j<= nlstate; j++){ /* Sum of wi * eij = e.j */ for(h=0; h<=nhstepm; h++){ for(i=1, gm[h][j]=0.;i<=nlstate;i++) @@ -3378,8 +4459,8 @@ void varevsij(char optionfilefiname[], d varppt[j][i]=doldmp[j][i]; /* end ppptj */ /* x centered again */ - hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij); - prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij); + + prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ncvyearp,ij); if (popbased==1) { if(mobilav ==0){ @@ -3395,6 +4476,7 @@ void varevsij(char optionfilefiname[], d computed over hstepm (estepm) matrices product = hstepm*stepm months) as a weighted average of prlim. */ + hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij); for(j=nlstate+1;j<=nlstate+ndeath;j++){ for(i=1,gmp[j]=0.;i<= nlstate; i++) gmp[j] += prlim[i][i]*p3mat[i][j][1]; @@ -3426,21 +4508,23 @@ void varevsij(char optionfilefiname[], d free_vector(gmp,nlstate+1,nlstate+ndeath); free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath); free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ - fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); + /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */ + fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480"); /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */ fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";"); + fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); /* fprintf(ficgp,"\n plot \"%s\" u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */ /* fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */ /* fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */ fprintf(ficgp,"\n plot \"%s\" u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev)); - fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)) t \"95\%% interval\" w l lt 2 ",subdirf(fileresprobmorprev)); + fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev)); fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev)); fprintf(fichtm,"\n
    File (multiple files are possible if covariates are present): %s\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev)); - fprintf(fichtm,"\n
    Probability is computed over estepm=%d months.

    \n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit); - /* fprintf(fichtm,"\n
    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

    \n", stepm,YEARM,digitp,digit); + fprintf(fichtm,"\n
    Probability is computed over estepm=%d months.

    \n", estepm,subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); + /* fprintf(fichtm,"\n
    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

    \n", stepm,YEARM,digitp,digit); */ -/* fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */ - fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit); +/* fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */ + fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"VARMUPTJGR-",digitp),digit); free_vector(xp,1,npar); free_matrix(doldm,1,nlstate,1,nlstate); @@ -3455,17 +4539,17 @@ void varevsij(char optionfilefiname[], d } /* end varevsij */ /************ Variance of prevlim ******************/ -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[]) + 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 *ncvyearp, int ij, char strstart[]) { - /* Variance of prevalence limit */ + /* Variance of prevalence limit for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/ /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/ - double **newm; + double **dnewm,**doldm; int i, j, nhstepm, hstepm; - int k, cptcode; double *xp; double *gp, *gm; double **gradg, **trgradg; + double **mgm, **mgp; double age,agelim; int theta; @@ -3488,6 +4572,8 @@ void varprevlim(char fileres[], double * if (stepm >= YEARM) hstepm=1; nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ gradg=matrix(1,npar,1,nlstate); + mgp=matrix(1,npar,1,nlstate); + mgm=matrix(1,npar,1,nlstate); gp=vector(1,nlstate); gm=vector(1,nlstate); @@ -3495,18 +4581,27 @@ void varprevlim(char fileres[], double * for(i=1; i<=npar; i++){ /* Computes gradient */ xp[i] = x[i] + (i==theta ?delti[theta]:0); } - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - for(i=1;i<=nlstate;i++) + if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij); + else + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij); + for(i=1;i<=nlstate;i++){ gp[i] = prlim[i][i]; - + mgp[theta][i] = prlim[i][i]; + } for(i=1; i<=npar; i++) /* Computes gradient */ xp[i] = x[i] - (i==theta ?delti[theta]:0); - prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij); - for(i=1;i<=nlstate;i++) + if((int)age==79 ||(int)age== 80 ||(int)age== 81 ) + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij); + else + prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij); + for(i=1;i<=nlstate;i++){ gm[i] = prlim[i][i]; - + mgm[theta][i] = prlim[i][i]; + } for(i=1;i<=nlstate;i++) gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; + /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */ } /* End theta */ trgradg =matrix(1,nlstate,1,npar); @@ -3514,11 +4609,34 @@ void varprevlim(char fileres[], double * for(j=1; j<=nlstate;j++) for(theta=1; theta <=npar; theta++) trgradg[j][theta]=gradg[theta][j]; + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\nmgm mgp %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf(" %d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\n gradg %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf("%d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf("%d %lf ",theta,gradg[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ for(i=1;i<=nlstate;i++) varpl[i][(int)age] =0.; + if((int)age==79 ||(int)age== 80 ||(int)age== 81){ matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov); matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg); + }else{ + matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg); + } for(i=1;i<=nlstate;i++) varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */ @@ -3528,6 +4646,8 @@ void varprevlim(char fileres[], double * fprintf(ficresvpl,"\n"); free_vector(gp,1,nlstate); free_vector(gm,1,nlstate); + free_matrix(mgm,1,npar,1,nlstate); + free_matrix(mgp,1,npar,1,nlstate); free_matrix(gradg,1,npar,1,nlstate); free_matrix(trgradg,1,nlstate,1,npar); } /* End age */ @@ -3541,9 +4661,9 @@ void varprevlim(char fileres[], double * /************ Variance of one-step probabilities ******************/ 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[]) { - int i, j=0, i1, k1, l1, t, tj; + int i, j=0, k1, l1, tj; int k2, l2, j1, z1; - int k=0,l, cptcode; + int k=0, l; int first=1, first1, first2; double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp; double **dnewm,**doldm; @@ -3551,7 +4671,7 @@ void varprob(char optionfilefiname[], do double *gp, *gm; double **gradg, **trgradg; double **mu; - double age,agelim, cov[NCOVMAX+1]; + double age, cov[NCOVMAX+1]; double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */ int theta; char fileresprob[FILENAMELENGTH]; @@ -3559,20 +4679,20 @@ void varprob(char optionfilefiname[], do char fileresprobcor[FILENAMELENGTH]; double ***varpij; - strcpy(fileresprob,"prob"); + strcpy(fileresprob,"PROB_"); strcat(fileresprob,fileres); if((ficresprob=fopen(fileresprob,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresprob); fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob); } - strcpy(fileresprobcov,"probcov"); - strcat(fileresprobcov,fileres); + strcpy(fileresprobcov,"PROBCOV_"); + strcat(fileresprobcov,fileresu); if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresprobcov); fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov); } - strcpy(fileresprobcor,"probcor"); - strcat(fileresprobcor,fileres); + strcpy(fileresprobcor,"PROBCOR_"); + strcat(fileresprobcor,fileresu); if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresprobcor); fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor); @@ -3614,10 +4734,9 @@ void varprob(char optionfilefiname[], do fprintf(fichtm,"\n

  • Computing and drawing one step probabilities with their confidence intervals

    • \n"); fprintf(fichtm,"\n"); - fprintf(fichtm,"\n

  • Matrix of variance-covariance of pairs of step probabilities (drawings)

    • \n",optionfilehtmcov); - fprintf(fichtmcov,"\n

    Matrix of variance-covariance of pairs of step probabilities

    \n\ - file %s
    \n",optionfilehtmcov); - fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (pij, pkl) are estimated\ + fprintf(fichtm,"\n

  • Matrix of variance-covariance of one-step probabilities (drawings)

    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.
    • \n",optionfilehtmcov); + fprintf(fichtmcov,"Current page is file %s
    \n\n

    Matrix of variance-covariance of pairs of step probabilities

    \n",optionfilehtmcov, optionfilehtmcov); + fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (pij, pkl) are estimated \ and drawn. It helps understanding how is the covariance between two incidences.\ They are expressed in year-1 in order to be less dependent of stepm.
    \n"); fprintf(fichtmcov,"\n
    Contour plot corresponding to x'cov-1x = 4 (where x is the column vector (pij,pkl)) are drawn. \ @@ -3638,23 +4757,23 @@ To be simple, these graphs help to under /*j1++;*/ if (cptcovn>0) { fprintf(ficresprob, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); fprintf(ficresprob, "**********\n#\n"); fprintf(ficresprobcov, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); fprintf(ficresprobcov, "**********\n#\n"); fprintf(ficgp, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); fprintf(ficgp, "**********\n#\n"); fprintf(fichtmcov, "\n
    ********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); fprintf(fichtmcov, "**********\n
    "); fprintf(ficresprobcor, "\n#********** Variable "); - for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]); fprintf(ficresprobcor, "**********\n#"); } @@ -3664,17 +4783,21 @@ To be simple, these graphs help to under gm=vector(1,(nlstate)*(nlstate+ndeath)); for (age=bage; age<=fage; age ++){ cov[2]=age; + if(nagesqr==1) + cov[3]= age*age; for (k=1; k<=cptcovn;k++) { - cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];/* j1 1 2 3 4 + cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)]; + /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4 * 1 1 1 1 1 * 2 2 1 1 1 * 3 1 2 1 1 */ /* nbcode[1][1]=0 nbcode[1][2]=1;*/ } - for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; + /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */ + for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2]; for (k=1; k<=cptcovprod;k++) - cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; + cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)]; for(theta=1; theta <=npar; theta++){ @@ -3822,17 +4945,18 @@ To be simple, these graphs help to under /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */ if(first==1){ first=0; + fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n"); fprintf(ficgp,"\nset parametric;unset label"); 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); - fprintf(ficgp,"\nset ter png small size 320, 240"); + fprintf(ficgp,"\nset ter svg size 640, 480"); fprintf(fichtmcov,"\n
    Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year-1\ - :\ -%s%d%1d%1d-%1d%1d.png, ",k1,l1,k2,l2,\ - subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\ - subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); - fprintf(fichtmcov,"\n
    ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); + :\ +%s_%d%1d%1d-%1d%1d.svg, ",k1,l1,k2,l2,\ + subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2,\ + subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2); + fprintf(fichtmcov,"\n
    ",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2); fprintf(fichtmcov,"\n
    Correlation at age %d (%.3f),",(int) age, c12); - fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); + fprintf(ficgp,"\nset out \"%s_%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2); fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2); fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2); 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",\ @@ -3849,13 +4973,13 @@ To be simple, these graphs help to under }/* if first */ } /* age mod 5 */ } /* end loop age */ - fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); + fprintf(ficgp,"\nset out;\nset out \"%s_%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"VARPIJGR_"), j1,k1,l1,k2,l2); first=1; } /*l12 */ } /* k12 */ } /*l1 */ }/* k1 */ - /* } /* loop covariates */ + /* } */ /* loop covariates */ } free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage); free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage); @@ -3871,33 +4995,38 @@ To be simple, these graphs help to under /******************* Printing html file ***********/ -void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \ +void printinghtml(char fileresu[], char title[], char datafile[], int firstpass, \ int lastpass, int stepm, int weightopt, char model[],\ int imx,int jmin, int jmax, double jmeanint,char rfileres[],\ - int popforecast, int estepm ,\ - double jprev1, double mprev1,double anprev1, \ - double jprev2, double mprev2,double anprev2){ + int popforecast, int prevfcast, int estepm , \ + double jprev1, double mprev1,double anprev1, double dateprev1, \ + double jprev2, double mprev2,double anprev2, double dateprev2){ int jj1, k1, i1, cpt; fprintf(fichtm,""); - fprintf(fichtm,"