--- imach/src/imach.c 2002/05/24 13:01:48 1.44 +++ imach/src/imach.c 2010/04/30 18:19:40 1.138 @@ -1,3577 +1,6480 @@ -/* $Id: imach.c,v 1.44 2002/05/24 13:01:48 brouard Exp $ - Interpolated Markov Chain - - Short summary of the programme: - - This program computes Healthy Life Expectancies from - cross-longitudinal data. Cross-longitudinal data consist in: -1- a - first survey ("cross") where individuals from different ages are - interviewed on their health status or degree of disability (in the - case of a health survey which is our main interest) -2- at least a - second wave of interviews ("longitudinal") which measure each change - (if any) in individual health status. Health expectancies are - computed from the time spent in each health state according to a - model. More health states you consider, more time is necessary to reach the - Maximum Likelihood of the parameters involved in the model. The - simplest model is the multinomial logistic model where pij is the - probability to be observed in state j at the second wave - conditional to be observed in state i at the first wave. Therefore - the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where - 'age' is age and 'sex' is a covariate. If you want to have a more - complex model than "constant and age", you should modify the program - where the markup *Covariates have to be included here again* invites - you to do it. More covariates you add, slower the - convergence. - - The advantage of this computer programme, compared to a simple - multinomial logistic model, is clear when the delay between waves is not - identical for each individual. Also, if a individual missed an - intermediate interview, the information is lost, but taken into - account using an interpolation or extrapolation. - - hPijx is the probability to be observed in state i at age x+h - conditional to the observed state i at age x. The delay 'h' can be - split into an exact number (nh*stepm) of unobserved intermediate - states. This elementary transition (by month or quarter trimester, - semester or year) is model as a multinomial logistic. The hPx - matrix is simply the matrix product of nh*stepm elementary matrices - and the contribution of each individual to the likelihood is simply - hPijx. - - Also this programme outputs the covariance matrix of the parameters but also - of the life expectancies. It also computes the prevalence limits. - - Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr). - Institut national d'études démographiques, Paris. - This software have been partly granted by Euro-REVES, a concerted action - from the European Union. - It is copyrighted identically to a GNU software product, ie programme and - software can be distributed freely for non commercial use. Latest version - can be accessed at http://euroreves.ined.fr/imach . - **********************************************************************/ - -#include -#include -#include -#include - -#define MAXLINE 256 -#define GNUPLOTPROGRAM "gnuplot" -/*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/ -#define FILENAMELENGTH 80 -/*#define DEBUG*/ -#define windows -#define GLOCK_ERROR_NOPATH -1 /* empty path */ -#define GLOCK_ERROR_GETCWD -2 /* cannot get cwd */ - -#define MAXPARM 30 /* Maximum number of parameters for the optimization */ -#define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */ - -#define NINTERVMAX 8 -#define NLSTATEMAX 8 /* Maximum number of live states (for func) */ -#define NDEATHMAX 8 /* Maximum number of dead states (for func) */ -#define NCOVMAX 8 /* Maximum number of covariates */ -#define MAXN 20000 -#define YEARM 12. /* Number of months per year */ -#define AGESUP 130 -#define AGEBASE 40 - - -int erreur; /* Error number */ -int nvar; -int cptcovn, cptcovage=0, cptcoveff=0,cptcov; -int npar=NPARMAX; -int nlstate=2; /* Number of live states */ -int ndeath=1; /* Number of dead states */ -int ncovmodel, ncovcol; /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */ -int popbased=0; - -int *wav; /* Number of waves for this individuual 0 is possible */ -int maxwav; /* Maxim number of waves */ -int jmin, jmax; /* min, max spacing between 2 waves */ -int mle, weightopt; -int **mw; /* mw[mi][i] is number of the mi wave for this individual */ -int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */ -double jmean; /* Mean space between 2 waves */ -double **oldm, **newm, **savm; /* Working pointers to matrices */ -double **oldms, **newms, **savms; /* Fixed working pointers to matrices */ -FILE *fic,*ficpar, *ficparo,*ficres, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop; -FILE *ficgp,*ficresprob,*ficpop; -FILE *ficreseij; - char filerese[FILENAMELENGTH]; - FILE *ficresvij; - char fileresv[FILENAMELENGTH]; - FILE *ficresvpl; - char fileresvpl[FILENAMELENGTH]; - -#define NR_END 1 -#define FREE_ARG char* -#define FTOL 1.0e-10 - -#define NRANSI -#define ITMAX 200 - -#define TOL 2.0e-4 - -#define CGOLD 0.3819660 -#define ZEPS 1.0e-10 -#define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); - -#define GOLD 1.618034 -#define GLIMIT 100.0 -#define TINY 1.0e-20 - -static double maxarg1,maxarg2; -#define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2)) -#define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2)) - -#define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a)) -#define rint(a) floor(a+0.5) - -static double sqrarg; -#define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg) -#define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} - -int imx; -int stepm; -/* Stepm, step in month: minimum step interpolation*/ - -int estepm; -/* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/ - -int m,nb; -int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage; -double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint; -double **pmmij, ***probs, ***mobaverage; -double dateintmean=0; - -double *weight; -int **s; /* Status */ -double *agedc, **covar, idx; -int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff; - -double ftol=FTOL; /* Tolerance for computing Max Likelihood */ -double ftolhess; /* Tolerance for computing hessian */ - -/**************** split *************************/ -static int split( char *path, char *dirc, char *name, char *ext, char *finame ) -{ - char *s; /* pointer */ - int l1, l2; /* length counters */ - - l1 = strlen( path ); /* length of path */ - if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH ); -#ifdef windows - s = strrchr( path, '\\' ); /* find last / */ -#else - s = strrchr( path, '/' ); /* find last / */ -#endif - if ( s == NULL ) { /* no directory, so use current */ -#if defined(__bsd__) /* get current working directory */ - extern char *getwd( ); - - if ( getwd( dirc ) == NULL ) { -#else - extern char *getcwd( ); - - if ( getcwd( dirc, FILENAME_MAX ) == NULL ) { -#endif - return( GLOCK_ERROR_GETCWD ); - } - strcpy( name, path ); /* we've got it */ - } else { /* strip direcotry from path */ - s++; /* after this, the filename */ - l2 = strlen( s ); /* length of filename */ - if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH ); - strcpy( name, s ); /* save file name */ - strncpy( dirc, path, l1 - l2 ); /* now the directory */ - dirc[l1-l2] = 0; /* add zero */ - } - l1 = strlen( dirc ); /* length of directory */ -#ifdef windows - if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; } -#else - if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; } -#endif - s = strrchr( name, '.' ); /* find last / */ - s++; - strcpy(ext,s); /* save extension */ - l1= strlen( name); - l2= strlen( s)+1; - strncpy( finame, name, l1-l2); - finame[l1-l2]= 0; - return( 0 ); /* we're done */ -} - - -/******************************************/ - -void replace(char *s, char*t) -{ - int i; - int lg=20; - i=0; - lg=strlen(t); - for(i=0; i<= lg; i++) { - (s[i] = t[i]); - if (t[i]== '\\') s[i]='/'; - } -} - -int nbocc(char *s, char occ) -{ - int i,j=0; - int lg=20; - i=0; - lg=strlen(s); - for(i=0; i<= lg; i++) { - if (s[i] == occ ) j++; - } - return j; -} - -void cutv(char *u,char *v, char*t, char occ) -{ - int i,lg,j,p=0; - i=0; - for(j=0; j<=strlen(t)-1; j++) { - if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; - } - - lg=strlen(t); - for(j=0; j=(p+1))(v[j-p-1] = t[j]); - } -} - -/********************** nrerror ********************/ - -void nrerror(char error_text[]) -{ - fprintf(stderr,"ERREUR ...\n"); - fprintf(stderr,"%s\n",error_text); - exit(1); -} -/*********************** vector *******************/ -double *vector(int nl, int nh) -{ - double *v; - v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double))); - if (!v) nrerror("allocation failure in vector"); - return v-nl+NR_END; -} - -/************************ free vector ******************/ -void free_vector(double*v, int nl, int nh) -{ - free((FREE_ARG)(v+nl-NR_END)); -} - -/************************ivector *******************************/ -int *ivector(long nl,long nh) -{ - int *v; - v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int))); - if (!v) nrerror("allocation failure in ivector"); - return v-nl+NR_END; -} - -/******************free ivector **************************/ -void free_ivector(int *v, long nl, long nh) -{ - free((FREE_ARG)(v+nl-NR_END)); -} - -/******************* imatrix *******************************/ -int **imatrix(long nrl, long nrh, long ncl, long nch) - /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ -{ - long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; - int **m; - - /* allocate pointers to rows */ - m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); - if (!m) nrerror("allocation failure 1 in matrix()"); - m += NR_END; - m -= nrl; - - - /* allocate rows and set pointers to them */ - m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); - if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); - m[nrl] += NR_END; - m[nrl] -= ncl; - - for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; - - /* return pointer to array of pointers to rows */ - return m; -} - -/****************** free_imatrix *************************/ -void free_imatrix(m,nrl,nrh,ncl,nch) - int **m; - long nch,ncl,nrh,nrl; - /* free an int matrix allocated by imatrix() */ -{ - free((FREE_ARG) (m[nrl]+ncl-NR_END)); - free((FREE_ARG) (m+nrl-NR_END)); -} - -/******************* matrix *******************************/ -double **matrix(long nrl, long nrh, long ncl, long nch) -{ - long i, nrow=nrh-nrl+1, ncol=nch-ncl+1; - double **m; - - m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*))); - if (!m) nrerror("allocation failure 1 in matrix()"); - m += NR_END; - m -= nrl; - - m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double))); - if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); - m[nrl] += NR_END; - m[nrl] -= ncl; - - for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol; - return m; -} - -/*************************free matrix ************************/ -void free_matrix(double **m, long nrl, long nrh, long ncl, long nch) -{ - free((FREE_ARG)(m[nrl]+ncl-NR_END)); - free((FREE_ARG)(m+nrl-NR_END)); -} - -/******************* ma3x *******************************/ -double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh) -{ - long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1; - double ***m; - - m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*))); - if (!m) nrerror("allocation failure 1 in matrix()"); - m += NR_END; - m -= nrl; - - m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double))); - if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); - m[nrl] += NR_END; - m[nrl] -= ncl; - - for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol; - - m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double))); - if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()"); - m[nrl][ncl] += NR_END; - m[nrl][ncl] -= nll; - for (j=ncl+1; j<=nch; j++) - m[nrl][j]=m[nrl][j-1]+nlay; - - for (i=nrl+1; i<=nrh; i++) { - m[i][ncl]=m[i-1l][ncl]+ncol*nlay; - for (j=ncl+1; j<=nch; j++) - m[i][j]=m[i][j-1]+nlay; - } - return m; -} - -/*************************free ma3x ************************/ -void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh) -{ - free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END)); - free((FREE_ARG)(m[nrl]+ncl-NR_END)); - free((FREE_ARG)(m+nrl-NR_END)); -} - -/***************** f1dim *************************/ -extern int ncom; -extern double *pcom,*xicom; -extern double (*nrfunc)(double []); - -double f1dim(double x) -{ - int j; - double f; - double *xt; - - xt=vector(1,ncom); - for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; - f=(*nrfunc)(xt); - free_vector(xt,1,ncom); - return f; -} - -/*****************brent *************************/ -double brent(double ax, double bx, double cx, double (*f)(double), double tol, double *xmin) -{ - int iter; - double a,b,d,etemp; - double fu,fv,fw,fx; - double ftemp; - double p,q,r,tol1,tol2,u,v,w,x,xm; - double e=0.0; - - a=(ax < cx ? ax : cx); - b=(ax > cx ? ax : cx); - x=w=v=bx; - fw=fv=fx=(*f)(x); - for (iter=1;iter<=ITMAX;iter++) { - xm=0.5*(a+b); - tol2=2.0*(tol1=tol*fabs(x)+ZEPS); - /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/ - printf(".");fflush(stdout); -#ifdef DEBUG - 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); - /* if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */ -#endif - if (fabs(x-xm) <= (tol2-0.5*(b-a))){ - *xmin=x; - return fx; - } - ftemp=fu; - if (fabs(e) > tol1) { - r=(x-w)*(fx-fv); - q=(x-v)*(fx-fw); - p=(x-v)*q-(x-w)*r; - q=2.0*(q-r); - if (q > 0.0) p = -p; - q=fabs(q); - etemp=e; - e=d; - if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) - d=CGOLD*(e=(x >= xm ? a-x : b-x)); - else { - d=p/q; - u=x+d; - if (u-a < tol2 || b-u < tol2) - d=SIGN(tol1,xm-x); - } - } else { - d=CGOLD*(e=(x >= xm ? a-x : b-x)); - } - u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); - fu=(*f)(u); - 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; - } - } - } - nrerror("Too many iterations in brent"); - *xmin=x; - return fx; -} - -/****************** mnbrak ***********************/ - -void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, - double (*func)(double)) -{ - double ulim,u,r,q, dum; - double fu; - - *fa=(*func)(*ax); - *fb=(*func)(*bx); - if (*fb > *fa) { - SHFT(dum,*ax,*bx,dum) - SHFT(dum,*fb,*fa,dum) - } - *cx=(*bx)+GOLD*(*bx-*ax); - *fc=(*func)(*cx); - while (*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) { - fu=(*func)(u); - } else if ((*cx-u)*(u-ulim) > 0.0) { - fu=(*func)(u); - if (fu < *fc) { - SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) - SHFT(*fb,*fc,fu,(*func)(u)) - } - } else if ((u-ulim)*(ulim-*cx) >= 0.0) { - u=ulim; - fu=(*func)(u); - } else { - u=(*cx)+GOLD*(*cx-*bx); - fu=(*func)(u); - } - SHFT(*ax,*bx,*cx,u) - SHFT(*fa,*fb,*fc,fu) - } -} - -/*************** linmin ************************/ - -int ncom; -double *pcom,*xicom; -double (*nrfunc)(double []); - -void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) -{ - double brent(double ax, double bx, double cx, - double (*f)(double), double tol, double *xmin); - double f1dim(double x); - void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, - double *fc, double (*func)(double)); - int j; - double xx,xmin,bx,ax; - double fx,fb,fa; - - 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]; - } - ax=0.0; - xx=1.0; - mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); - *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); -#ifdef DEBUG - printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin); -#endif - for (j=1;j<=n;j++) { - xi[j] *= xmin; - p[j] += xi[j]; - } - free_vector(xicom,1,n); - free_vector(pcom,1,n); -} - -/*************** powell ************************/ -void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, - double (*func)(double [])) -{ - void linmin(double p[], double xi[], int n, double *fret, - double (*func)(double [])); - int i,ibig,j; - double del,t,*pt,*ptt,*xit; - double fp,fptt; - double *xits; - pt=vector(1,n); - ptt=vector(1,n); - xit=vector(1,n); - xits=vector(1,n); - *fret=(*func)(p); - for (j=1;j<=n;j++) pt[j]=p[j]; - for (*iter=1;;++(*iter)) { - fp=(*fret); - ibig=0; - del=0.0; - printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret); - for (i=1;i<=n;i++) - printf(" %d %.12f",i, p[i]); - printf("\n"); - for (i=1;i<=n;i++) { - for (j=1;j<=n;j++) xit[j]=xi[j][i]; - fptt=(*fret); -#ifdef DEBUG - printf("fret=%lf \n",*fret); -#endif - printf("%d",i);fflush(stdout); - linmin(p,xit,n,fret,func); - if (fabs(fptt-(*fret)) > del) { - del=fabs(fptt-(*fret)); - ibig=i; - } -#ifdef DEBUG - printf("%d %.12e",i,(*fret)); - for (j=1;j<=n;j++) { - xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5); - printf(" x(%d)=%.12e",j,xit[j]); - } - for(j=1;j<=n;j++) - printf(" p=%.12e",p[j]); - printf("\n"); -#endif - } - if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { -#ifdef DEBUG - int k[2],l; - k[0]=1; - k[1]=-1; - printf("Max: %.12e",(*func)(p)); - for (j=1;j<=n;j++) - printf(" %.12e",p[j]); - printf("\n"); - for(l=0;l<=1;l++) { - for (j=1;j<=n;j++) { - ptt[j]=p[j]+(p[j]-pt[j])*k[l]; - printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]); - } - printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p))); - } -#endif - - - free_vector(xit,1,n); - free_vector(xits,1,n); - free_vector(ptt,1,n); - free_vector(pt,1,n); - return; - } - if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); - for (j=1;j<=n;j++) { - 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); - for (j=1;j<=n;j++) { - xi[j][ibig]=xi[j][n]; - xi[j][n]=xit[j]; - } -#ifdef DEBUG - printf("Direction changed last moved %d in place of ibig=%d, new last is the average:\n",n,ibig); - for(j=1;j<=n;j++) - printf(" %.12e",xit[j]); - printf("\n"); -#endif - } - } - } -} - -/**** Prevalence limit ****************/ - -double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, 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 */ - - int i, ii,j,k; - double min, max, maxmin, maxmax,sumnew=0.; - double **matprod2(); - double **out, cov[NCOVMAX], **pmij(); - double **newm; - double agefin, delaymax=50 ; /* Max number of years to converge */ - - 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 */ - for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){ - newm=savm; - /* Covariates have to be included here again */ - cov[2]=agefin; - - for (k=1; k<=cptcovn;k++) { - cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; - /* printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+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++) - cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; - - /*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]);*/ - /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/ - out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); - - 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]; - prlim[i][j]= newm[i][j]/(1-sumnew); - max=FMAX(max,prlim[i][j]); - min=FMIN(min,prlim[i][j]); - } - maxmin=max-min; - maxmax=FMAX(maxmax,maxmin); - } - if(maxmax < ftolpl){ - return prlim; - } - } -} - -/*************** transition probabilities ***************/ - -double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate ) -{ - double s1, s2; - /*double t34;*/ - int i,j,j1, nc, ii, jj; - - for(i=1; i<= nlstate; i++){ - for(j=1; ji s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/ - } - ps[i][j]=s2; - } - } - /*ps[3][2]=1;*/ - - for(i=1; i<= nlstate; i++){ - s1=0; - for(j=1; ji) { - printf(".%d%d",i,j);fflush(stdout); - hess[i][j]=hessij(p,delti,i,j); - hess[j][i]=hess[i][j]; - /*printf(" %lf ",hess[i][j]);*/ - } - } - } - printf("\n"); - - printf("\nInverting the hessian to get the covariance matrix. Wait...\n"); - - a=matrix(1,npar,1,npar); - y=matrix(1,npar,1,npar); - x=vector(1,npar); - indx=ivector(1,npar); - for (i=1;i<=npar;i++) - for (j=1;j<=npar;j++) a[i][j]=hess[i][j]; - ludcmp(a,npar,indx,&pd); - - 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++){ - matcov[i][j]=x[i]; - } - } - - printf("\n#Hessian matrix#\n"); - for (i=1;i<=npar;i++) { - for (j=1;j<=npar;j++) { - printf("%.3e ",hess[i][j]); - } - printf("\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); - - /* 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]); - } - printf("\n"); - } - */ - - 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); - - -} - -/*************** hessian matrix ****************/ -double hessii( double x[], double delta, int theta, double delti[]) -{ - int i; - int l=1, lmax=20; - double k1,k2; - double p2[NPARMAX+1]; - double res; - double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4; - double fx; - int k=0,kmax=10; - double l1; - - fx=func(x); - for (i=1;i<=npar;i++) p2[i]=x[i]; - for(l=0 ; l <=lmax; l++){ - l1=pow(10,l); - delts=delt; - for(k=1 ; k khi/nkhif) || (k2 >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; - } - } - } - delti[theta]=delts; - return res; - -} - -double hessij( double x[], double delti[], int thetai,int thetaj) -{ - int i; - int l=1, l1, lmax=20; - double k1,k2,k3,k4,res,fx; - double p2[NPARMAX+1]; - int k; - - fx=func(x); - for (k=1; k<=2; k++) { - for (i=1;i<=npar;i++) p2[i]=x[i]; - 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; - k2=func(p2)-fx; - - 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; - 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); -#endif - } - return res; -} - -/************** Inverse of matrix **************/ -void ludcmp(double **a, int n, int *indx, double *d) -{ - int i,imax,j,k; - double big,dum,sum,temp; - double *vv; - - vv=vector(1,n); - *d=1.0; - for (i=1;i<=n;i++) { - big=0.0; - for (j=1;j<=n;j++) - if ((temp=fabs(a[i][j])) > big) big=temp; - if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); - vv[i]=1.0/big; - } - for (j=1;j<=n;j++) { - for (i=1;i= big) { - big=dum; - imax=i; - } - } - if (j != imax) { - for (k=1;k<=n;k++) { - dum=a[imax][k]; - a[imax][k]=a[j][k]; - a[j][k]=dum; - } - *d = -(*d); - vv[imax]=vv[j]; - } - indx[j]=imax; - if (a[j][j] == 0.0) a[j][j]=TINY; - if (j != n) { - dum=1.0/(a[j][j]); - for (i=j+1;i<=n;i++) a[i][j] *= dum; - } - } - free_vector(vv,1,n); /* Doesn't work */ -; -} - -void lubksb(double **a, int n, int *indx, double b[]) -{ - int i,ii=0,ip,j; - double sum; - - for (i=1;i<=n;i++) { - ip=indx[i]; - sum=b[ip]; - b[ip]=b[i]; - if (ii) - for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; - else if (sum) ii=i; - b[i]=sum; - } - for (i=n;i>=1;i--) { - sum=b[i]; - for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; - b[i]=sum/a[i][i]; - } -} - -/************ Frequencies ********************/ -void freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2) -{ /* Some frequencies */ - - int i, m, jk, k1,i1, j1, bool, z1,z2,j; - double ***freq; /* Frequencies */ - double *pp; - double pos, k2, dateintsum=0,k2cpt=0; - FILE *ficresp; - char fileresp[FILENAMELENGTH]; - - pp=vector(1,nlstate); - probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX); - strcpy(fileresp,"p"); - strcat(fileresp,fileres); - if((ficresp=fopen(fileresp,"w"))==NULL) { - printf("Problem with prevalence resultfile: %s\n", fileresp); - exit(0); - } - freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3); - j1=0; - - j=cptcoveff; - if (cptcovn<1) {j=1;ncodemax[1]=1;} - - for(k1=1; k1<=j;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ - j1++; - /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]); - scanf("%d", i);*/ - for (i=-1; i<=nlstate+ndeath; i++) - for (jk=-1; jk<=nlstate+ndeath; jk++) - for(m=agemin; m <= agemax+3; m++) - freq[i][jk][m]=0; - - dateintsum=0; - k2cpt=0; - for (i=1; i<=imx; i++) { - 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++){ - k2=anint[m][i]+(mint[m][i]/12.); - if ((k2>=dateprev1) && (k2<=dateprev2)) { - if(agev[m][i]==0) agev[m][i]=agemax+1; - if(agev[m][i]==1) agev[m][i]=agemax+2; - if (m1) && (agev[m][i]< (agemax+3))) { - dateintsum=dateintsum+k2; - k2cpt++; - } - } - } - } - } - - fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); - - 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#"); - } - for(i=1; i<=nlstate;i++) - fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i); - fprintf(ficresp, "\n"); - - for(i=(int)agemin; i <= (int)agemax+3; i++){ - if(i==(int)agemax+3) - printf("Total"); - else - printf("Age %d", i); - for(jk=1; jk <=nlstate ; jk++){ - for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++) - pp[jk] += freq[jk][m][i]; - } - for(jk=1; jk <=nlstate ; jk++){ - for(m=-1, pos=0; m <=0 ; m++) - pos += freq[jk][m][i]; - if(pp[jk]>=1.e-10) - printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]); - else - printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk); - } - - for(jk=1; jk <=nlstate ; jk++){ - for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++) - pp[jk] += freq[jk][m][i]; - } - - for(jk=1,pos=0; jk <=nlstate ; jk++) - pos += pp[jk]; - for(jk=1; jk <=nlstate ; jk++){ - if(pos>=1.e-5) - printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos); - else - printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk); - if( i <= (int) agemax){ - if(pos>=1.e-5){ - fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos); - 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 - fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos); - } - } - - for(jk=-1; jk <=nlstate+ndeath; jk++) - for(m=-1; m <=nlstate+ndeath; m++) - if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]); - if(i <= (int) agemax) - fprintf(ficresp,"\n"); - printf("\n"); - } - } - } - dateintmean=dateintsum/k2cpt; - - fclose(ficresp); - free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3); - free_vector(pp,1,nlstate); - - /* End of Freq */ -} - -/************ Prevalence ********************/ -void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate) -{ /* Some frequencies */ - - int i, m, jk, k1, i1, j1, bool, z1,z2,j; - double ***freq; /* Frequencies */ - double *pp; - double pos, k2; - - pp=vector(1,nlstate); - probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX); - - freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3); - j1=0; - - j=cptcoveff; - if (cptcovn<1) {j=1;ncodemax[1]=1;} - - for(k1=1; k1<=j;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ - j1++; - - for (i=-1; i<=nlstate+ndeath; i++) - for (jk=-1; jk<=nlstate+ndeath; jk++) - for(m=agemin; m <= agemax+3; m++) - freq[i][jk][m]=0; - - for (i=1; i<=imx; i++) { - 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++){ - k2=anint[m][i]+(mint[m][i]/12.); - if ((k2>=dateprev1) && (k2<=dateprev2)) { - if(agev[m][i]==0) agev[m][i]=agemax+1; - if(agev[m][i]==1) agev[m][i]=agemax+2; - if (m0) - freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i]; - else - freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i]; - freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i]; - } - } - } - } - } - for(i=(int)agemin; i <= (int)agemax+3; i++){ - for(jk=1; jk <=nlstate ; jk++){ - for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++) - pp[jk] += freq[jk][m][i]; - } - for(jk=1; jk <=nlstate ; jk++){ - for(m=-1, pos=0; m <=0 ; m++) - pos += freq[jk][m][i]; - } - - for(jk=1; jk <=nlstate ; jk++){ - for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++) - pp[jk] += freq[jk][m][i]; - } - - for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk]; - - for(jk=1; jk <=nlstate ; jk++){ - if( i <= (int) agemax){ - if(pos>=1.e-5){ - probs[i][jk][j1]= pp[jk]/pos; - } - } - } - - } - } - } - - - free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3); - free_vector(pp,1,nlstate); - -} /* End of Freq */ - -/************* Waves Concatenation ***************/ - -void concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int firstpass, int lastpass, int imx, int nlstate, int stepm) -{ - /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i. - Death is a valid wave (if date is known). - mw[mi][i] is the mi (mi=1 to wav[i]) effective wave of individual i - dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i] - and mw[mi+1][i]. dh depends on stepm. - */ - - int i, mi, m; - /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1; - double sum=0., jmean=0.;*/ - - int j, k=0,jk, ju, jl; - double sum=0.; - jmin=1e+5; - jmax=-1; - jmean=0.; - for(i=1; i<=imx; i++){ - mi=0; - m=firstpass; - while(s[m][i] <= nlstate){ - if(s[m][i]>=1) - mw[++mi][i]=m; - if(m >=lastpass) - break; - else - m++; - }/* end while */ - if (s[m][i] > nlstate){ - mi++; /* Death is another wave */ - /* if(mi==0) never been interviewed correctly before death */ - /* Only death is a correct wave */ - mw[mi][i]=m; - } - - wav[i]=mi; - if(mi==0) - printf("Warning, no any valid information for:%d line=%d\n",num[i],i); - } - - for(i=1; i<=imx; i++){ - for(mi=1; mi nlstate) { - if (agedc[i] < 2*AGESUP) { - j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); - if(j==0) j=1; /* Survives at least one month after exam */ - k=k+1; - if (j >= jmax) jmax=j; - if (j <= jmin) jmin=j; - sum=sum+j; - /*if (j<0) printf("j=%d num=%d \n",j,i); */ - } - } - else{ - j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12)); - k=k+1; - if (j >= jmax) jmax=j; - else if (j <= jmin)jmin=j; - /* if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */ - sum=sum+j; - } - jk= j/stepm; - jl= j -jk*stepm; - ju= j -(jk+1)*stepm; - if(jl <= -ju) - dh[mi][i]=jk; - else - dh[mi][i]=jk+1; - if(dh[mi][i]==0) - dh[mi][i]=1; /* At least one step */ - } - } - } - jmean=sum/k; - printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean); - } -/*********** Tricode ****************************/ -void tricode(int *Tvar, int **nbcode, int imx) -{ - int Ndum[20],ij=1, k, j, i; - int cptcode=0; - cptcoveff=0; - - for (k=0; k<19; k++) Ndum[k]=0; - for (k=1; k<=7; k++) ncodemax[k]=0; - - for (j=1; j<=(cptcovn+2*cptcovprod); j++) { - for (i=1; i<=imx; i++) { - ij=(int)(covar[Tvar[j]][i]); - Ndum[ij]++; - /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/ - if (ij > cptcode) cptcode=ij; - } - - for (i=0; i<=cptcode; i++) { - if(Ndum[i]!=0) ncodemax[j]++; - } - ij=1; - - - for (i=1; i<=ncodemax[j]; i++) { - for (k=0; k<=19; k++) { - if (Ndum[k] != 0) { - nbcode[Tvar[j]][ij]=k; - - ij++; - } - if (ij > ncodemax[j]) break; - } - } - } - - for (k=0; k<19; k++) Ndum[k]=0; - - for (i=1; i<=ncovmodel-2; i++) { - ij=Tvar[i]; - Ndum[ij]++; - } - - ij=1; - for (i=1; i<=10; i++) { - if((Ndum[i]!=0) && (i<=ncovcol)){ - Tvaraff[ij]=i; - ij++; - } - } - - cptcoveff=ij-1; -} - -/*********** Health Expectancies ****************/ - -void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov ) - -{ - /* Health expectancies */ - int i, j, nhstepm, hstepm, h, nstepm, k, cptj; - double age, agelim, hf; - double ***p3mat,***varhe; - double **dnewm,**doldm; - double *xp; - double **gp, **gm; - double ***gradg, ***trgradg; - int theta; - - varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage); - xp=vector(1,npar); - dnewm=matrix(1,nlstate*2,1,npar); - doldm=matrix(1,nlstate*2,1,nlstate*2); - - fprintf(ficreseij,"# Health expectancies\n"); - fprintf(ficreseij,"# Age"); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++) - fprintf(ficreseij," %1d-%1d (SE)",i,j); - fprintf(ficreseij,"\n"); - - if(estepm < stepm){ - printf ("Problem %d lower than %d\n",estepm, stepm); - } - else hstepm=estepm; - /* We compute the life expectancy from trapezoids spaced every estepm months - * This is mainly to measure the difference between two models: for example - * if stepm=24 months pijx are given only every 2 years and by summing them - * we are calculating an estimate of the Life Expectancy assuming a linear - * progression inbetween and thus overestimating or underestimating according - * to the curvature of the survival function. If, for the same date, we - * estimate the model with stepm=1 month, we can keep estepm to 24 months - * to compare the new estimate of Life expectancy with the same linear - * hypothesis. A more precise result, taking into account a more precise - * curvature will be obtained if estepm is as small as stepm. */ - - /* 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 hpijx to understand the reason of that which relies in memory size - and note for a fixed period like estepm months */ - /* 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 only each two years of age and if - you sum them up and add 1 year (area under the trapezoids) you won't get the same - results. So we changed our mind and took the option of the best precision. - */ - hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ - - agelim=AGESUP; - for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ - /* nhstepm age range expressed in number of stepm */ - nstepm=(int) rint((agelim-age)*YEARM/stepm); - /* Typically if 20 years nstepm = 20*12/6=40 stepm */ - /* if (stepm >= YEARM) hstepm=1;*/ - nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2); - gp=matrix(0,nhstepm,1,nlstate*2); - gm=matrix(0,nhstepm,1,nlstate*2); - - /* Computed by stepm unit matrices, product of hstepm matrices, stored - in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */ - hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij); - - - hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ - - /* Computing Variances of health expectancies */ - - for(theta=1; theta <=npar; theta++){ - for(i=1; i<=npar; i++){ - xp[i] = x[i] + (i==theta ?delti[theta]:0); - } - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - - cptj=0; - for(j=1; j<= nlstate; j++){ - for(i=1; i<=nlstate; i++){ - cptj=cptj+1; - for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){ - gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.; - } - } - } - - - for(i=1; i<=npar; i++) - xp[i] = x[i] - (i==theta ?delti[theta]:0); - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij); - - cptj=0; - for(j=1; j<= nlstate; j++){ - for(i=1;i<=nlstate;i++){ - cptj=cptj+1; - for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){ - gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.; - } - } - } - - - - for(j=1; j<= nlstate*2; j++) - for(h=0; h<=nhstepm-1; h++){ - gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta]; - } - - } - -/* End theta */ - - trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar); - - for(h=0; h<=nhstepm-1; h++) - for(j=1; j<=nlstate*2;j++) - for(theta=1; theta <=npar; theta++) - trgradg[h][j][theta]=gradg[h][theta][j]; - - - for(i=1;i<=nlstate*2;i++) - for(j=1;j<=nlstate*2;j++) - varhe[i][j][(int)age] =0.; - - printf("%d|",(int)age);fflush(stdout); - for(h=0;h<=nhstepm-1;h++){ - for(k=0;k<=nhstepm-1;k++){ - matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]); - for(i=1;i<=nlstate*2;i++) - for(j=1;j<=nlstate*2;j++) - varhe[i][j][(int)age] += doldm[i][j]*hf*hf; - } - } - - - /* Computing expectancies */ - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++) - for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){ - eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf; - -/* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/ - - } - - fprintf(ficreseij,"%3.0f",age ); - cptj=0; - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++){ - cptj++; - fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) ); - } - fprintf(ficreseij,"\n"); - - free_matrix(gm,0,nhstepm,1,nlstate*2); - free_matrix(gp,0,nhstepm,1,nlstate*2); - free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2); - free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar); - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } - free_vector(xp,1,npar); - free_matrix(dnewm,1,nlstate*2,1,npar); - free_matrix(doldm,1,nlstate*2,1,nlstate*2); - free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage); -} - -/************ Variance ******************/ -void varevsij(char fileres[], 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) -{ - /* Variance of health expectancies */ - /* 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, h, nstepm ; - int k, cptcode; - double *xp; - double **gp, **gm; - double ***gradg, ***trgradg; - double ***p3mat; - double age,agelim, hf; - int theta; - - fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n# (weighted average of eij where weights are the stable prevalence in health states i\n"); - fprintf(ficresvij,"# Age"); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++) - fprintf(ficresvij," Cov(e%1d, e%1d)",i,j); - fprintf(ficresvij,"\n"); - - xp=vector(1,npar); - dnewm=matrix(1,nlstate,1,npar); - doldm=matrix(1,nlstate,1,nlstate); - - if(estepm < stepm){ - printf ("Problem %d lower than %d\n",estepm, stepm); - } - else hstepm=estepm; - /* 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 hpijx to understand the reason of that which relies in memory size - and note for a fixed period like k years */ - /* 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 only each two years of age and if - you sum them up and add 1 year (area under the trapezoids) you won't get the same - results. So we changed our mind and took the option of the best precision. - */ - hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ - agelim = AGESUP; - for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ - nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ - nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - gradg=ma3x(0,nhstepm,1,npar,1,nlstate); - gp=matrix(0,nhstepm,1,nlstate); - gm=matrix(0,nhstepm,1,nlstate); - - for(theta=1; theta <=npar; theta++){ - for(i=1; i<=npar; i++){ /* Computes gradient */ - 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); - - if (popbased==1) { - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][ij]; - } - - 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]; - } - } - - for(i=1; i<=npar; i++) /* Computes gradient */ - 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); - - if (popbased==1) { - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][ij]; - } - - for(j=1; j<= nlstate; j++){ - for(h=0; h<=nhstepm; h++){ - for(i=1, gm[h][j]=0.;i<=nlstate;i++) - gm[h][j] += prlim[i][i]*p3mat[i][j][h]; - } - } - - for(j=1; j<= nlstate; j++) - for(h=0; h<=nhstepm; h++){ - gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta]; - } - } /* End theta */ - - trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); - - for(h=0; h<=nhstepm; h++) - for(j=1; j<=nlstate;j++) - for(theta=1; theta <=npar; theta++) - trgradg[h][j][theta]=gradg[h][theta][j]; - - hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ - for(i=1;i<=nlstate;i++) - for(j=1;j<=nlstate;j++) - vareij[i][j][(int)age] =0.; - - for(h=0;h<=nhstepm;h++){ - for(k=0;k<=nhstepm;k++){ - matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]); - for(i=1;i<=nlstate;i++) - for(j=1;j<=nlstate;j++) - vareij[i][j][(int)age] += doldm[i][j]*hf*hf; - } - } - - fprintf(ficresvij,"%.0f ",age ); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate;j++){ - fprintf(ficresvij," %.4f", vareij[i][j][(int)age]); - } - fprintf(ficresvij,"\n"); - free_matrix(gp,0,nhstepm,1,nlstate); - free_matrix(gm,0,nhstepm,1,nlstate); - free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate); - free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar); - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } /* End age */ - - free_vector(xp,1,npar); - free_matrix(doldm,1,nlstate,1,npar); - free_matrix(dnewm,1,nlstate,1,nlstate); - -} - -/************ 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) -{ - /* Variance of prevalence limit */ - /* 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 age,agelim; - int theta; - - fprintf(ficresvpl,"# Standard deviation of prevalence's limit\n"); - fprintf(ficresvpl,"# Age"); - for(i=1; i<=nlstate;i++) - fprintf(ficresvpl," %1d-%1d",i,i); - fprintf(ficresvpl,"\n"); - - xp=vector(1,npar); - dnewm=matrix(1,nlstate,1,npar); - doldm=matrix(1,nlstate,1,nlstate); - - hstepm=1*YEARM; /* Every year of age */ - hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ - agelim = AGESUP; - for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ - nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ - if (stepm >= YEARM) hstepm=1; - nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ - gradg=matrix(1,npar,1,nlstate); - gp=vector(1,nlstate); - gm=vector(1,nlstate); - - for(theta=1; theta <=npar; theta++){ - 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++) - gp[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++) - gm[i] = prlim[i][i]; - - for(i=1;i<=nlstate;i++) - gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; - } /* End theta */ - - trgradg =matrix(1,nlstate,1,npar); - - for(j=1; j<=nlstate;j++) - for(theta=1; theta <=npar; theta++) - trgradg[j][theta]=gradg[theta][j]; - - for(i=1;i<=nlstate;i++) - varpl[i][(int)age] =0.; - 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 */ - - fprintf(ficresvpl,"%.0f ",age ); - for(i=1; i<=nlstate;i++) - fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age])); - fprintf(ficresvpl,"\n"); - free_vector(gp,1,nlstate); - free_vector(gm,1,nlstate); - free_matrix(gradg,1,npar,1,nlstate); - free_matrix(trgradg,1,nlstate,1,npar); - } /* End age */ - - free_vector(xp,1,npar); - free_matrix(doldm,1,nlstate,1,npar); - free_matrix(dnewm,1,nlstate,1,nlstate); - -} - -/************ Variance of one-step probabilities ******************/ -void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax) -{ - int i, j, i1, k1, j1, z1; - int k=0, cptcode; - double **dnewm,**doldm; - double *xp; - double *gp, *gm; - double **gradg, **trgradg; - double age,agelim, cov[NCOVMAX]; - int theta; - char fileresprob[FILENAMELENGTH]; - - strcpy(fileresprob,"prob"); - strcat(fileresprob,fileres); - if((ficresprob=fopen(fileresprob,"w"))==NULL) { - printf("Problem with resultfile: %s\n", fileresprob); - } - printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob); - -fprintf(ficresprob,"#One-step probabilities and standard deviation in parentheses\n"); - fprintf(ficresprob,"# Age"); - for(i=1; i<=nlstate;i++) - for(j=1; j<=(nlstate+ndeath);j++) - fprintf(ficresprob," p%1d-%1d (SE)",i,j); - - - fprintf(ficresprob,"\n"); - - - xp=vector(1,npar); - dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); - doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath)); - - cov[1]=1; - j=cptcoveff; - if (cptcovn<1) {j=1;ncodemax[1]=1;} - j1=0; - for(k1=1; k1<=1;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ - 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]]); - fprintf(ficresprob, "**********\n#"); - } - - for (age=bage; age<=fage; age ++){ - cov[2]=age; - for (k=1; k<=cptcovn;k++) { - cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]]; - - } - for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[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]]]; - - gradg=matrix(1,npar,1,9); - trgradg=matrix(1,9,1,npar); - gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath)); - gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath)); - - for(theta=1; theta <=npar; theta++){ - for(i=1; i<=npar; i++) - xp[i] = x[i] + (i==theta ?delti[theta]:0); - - pmij(pmmij,cov,ncovmodel,xp,nlstate); - - k=0; - for(i=1; i<= (nlstate+ndeath); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - gp[k]=pmmij[i][j]; - } - } - - for(i=1; i<=npar; i++) - xp[i] = x[i] - (i==theta ?delti[theta]:0); - - pmij(pmmij,cov,ncovmodel,xp,nlstate); - k=0; - for(i=1; i<=(nlstate+ndeath); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - gm[k]=pmmij[i][j]; - } - } - - for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++) - gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta]; - } - - for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++) - for(theta=1; theta <=npar; theta++) - trgradg[j][theta]=gradg[theta][j]; - - matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg); - - pmij(pmmij,cov,ncovmodel,x,nlstate); - - k=0; - for(i=1; i<=(nlstate+ndeath); i++){ - for(j=1; j<=(nlstate+ndeath);j++){ - k=k+1; - gm[k]=pmmij[i][j]; - } - } - - /*printf("\n%d ",(int)age); - for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){ - printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); - }*/ - - fprintf(ficresprob,"\n%d ",(int)age); - - for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++) - fprintf(ficresprob,"%.3e (%.3e) ",gm[i],sqrt(doldm[i][i])); - - } - } - free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath)); - free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath)); - free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); - free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); - } - free_vector(xp,1,npar); - fclose(ficresprob); - -} - -/******************* Printing html file ***********/ -void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \ - int lastpass, int stepm, int weightopt, char model[],\ - int imx,int jmin, int jmax, double jmeanint,char optionfile[], \ - char optionfilehtm[],char rfileres[], char optionfilegnuplot[],\ - char version[], int popforecast, int estepm ,/* \ */ - double jprev1, double mprev1,double anprev1, \ - double jprev2, double mprev2,double anprev2){ - int jj1, k1, i1, cpt; - FILE *fichtm; - /*char optionfilehtm[FILENAMELENGTH];*/ - - strcpy(optionfilehtm,optionfile); - strcat(optionfilehtm,".htm"); - if((fichtm=fopen(optionfilehtm,"w"))==NULL) { - printf("Problem with %s \n",optionfilehtm), exit(0); - } - - fprintf(fichtm," %s
\n -Title=%s
Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s
\n -\n -Total number of observations=%d
\n -Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf
\n -
-
  • Parameter files
    \n - - Copy of the parameter file: o%s
    \n - - Gnuplot file name: %s
\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,optionfilegnuplot,optionfilegnuplot); - - fprintf(fichtm,"
  • Result files (first order: no variance)
    \n - - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): p%s
    \n - - Estimated transition probabilities over %d (stepm) months: pij%s
    \n - - Stable prevalence in each health state: pl%s
    \n - - Life expectancies by age and initial health status (estepm=%2d months): - e%s
    \n
  • ", \ - jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres); - - fprintf(fichtm,"\n
  • Result files (second order: variances)
    \n - - Parameter file with estimated parameters and covariance matrix: %s
    \n - - Variance of one-step probabilities: prob%s
    \n - - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): v%s
    \n - - Health expectancies with their variances (no covariance): t%s
    \n - - Standard deviation of stable prevalences: vpl%s
    \n",rfileres,rfileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres); - - if(popforecast==1) fprintf(fichtm,"\n - - Prevalences forecasting: f%s
    \n - - Population forecasting (if popforecast=1): pop%s
    \n -
    ",fileres,fileres,fileres,fileres); - else - fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)

  • \n",popforecast, stepm, model); -fprintf(fichtm,"
  • Graphs
  • "); - - m=cptcoveff; - if (cptcovn < 1) {m=1;ncodemax[1]=1;} - - jj1=0; - for(k1=1; k1<=m;k1++){ - for(i1=1; i1<=ncodemax[k1];i1++){ - jj1++; - if (cptcovn > 0) { - fprintf(fichtm,"


    ************ Results for covariates"); - for (cpt=1; cpt<=cptcoveff;cpt++) - fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]); - fprintf(fichtm," ************\n
    "); - } - /* Pij */ - fprintf(fichtm,"
    - Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before: pe%s%d1.png
    -",strtok(optionfile, "."),jj1,stepm,strtok(optionfile, "."),jj1); - /* Quasi-incidences */ - fprintf(fichtm,"
    - Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: pe%s%d2.png
    -",strtok(optionfile, "."),jj1,stepm,strtok(optionfile, "."),jj1); - /* Stable prevalence in each health state */ - for(cpt=1; cpt- Stable prevalence in each health state : p%s%d%d.png
    -",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1); - } - for(cpt=1; cpt<=nlstate;cpt++) { - fprintf(fichtm,"
    - Observed and stationary prevalence (with confident -interval) in state (%d): v%s%d%d.png
    -",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1); - } - for(cpt=1; cpt<=nlstate;cpt++) { - fprintf(fichtm,"\n
    - Health life expectancies by age and initial health state (%d): exp%s%d%d.png
    -",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1); - } - fprintf(fichtm,"\n
    - Total life expectancy by age and -health expectancies in states (1) and (2): e%s%d.png
    -",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1); -fprintf(fichtm,"\n"); - } - } -fclose(fichtm); -} - -/******************* Gnuplot file **************/ -void printinggnuplot(char fileres[],char optionfilefiname[],char optionfile[],char optionfilegnuplot[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){ - - int m,cpt,k1,i,k,j,jk,k2,k3,ij,l; - int ng; - strcpy(optionfilegnuplot,optionfilefiname); - strcat(optionfilegnuplot,".gp.txt"); - if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) { - printf("Problem with file %s",optionfilegnuplot); - } - -#ifdef windows - fprintf(ficgp,"cd \"%s\" \n",pathc); -#endif -m=pow(2,cptcoveff); - - /* 1eme*/ - for (cpt=1; cpt<= nlstate ; cpt ++) { - for (k1=1; k1<= m ; k1 ++) { - -#ifdef windows - fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1); - fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,fileres,k1-1,k1-1); -#endif -#ifdef unix -fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1); -fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres); -#endif - -for (i=1; i<= nlstate ; i ++) { - if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1); - for (i=1; i<= nlstate ; i ++) { - if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1); - for (i=1; i<= nlstate ; i ++) { - if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1)); -#ifdef unix -fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n"); -#endif - } - } - /*2 eme*/ - - for (k1=1; k1<= m ; k1 ++) { - fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1); - fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage); - - for (i=1; i<= nlstate+1 ; i ++) { - k=2*i; - fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1); - for (j=1; j<= nlstate+1 ; j ++) { - if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,"); - else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1); - fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1); - for (j=1; j<= nlstate+1 ; j ++) { - if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - fprintf(ficgp,"\" t\"\" w l 0,"); - fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1); - for (j=1; j<= nlstate+1 ; j ++) { - if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); - else fprintf(ficgp," \%%*lf (\%%*lf)"); -} - if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0"); - else fprintf(ficgp,"\" t\"\" w l 0,"); - } - } - - /*3eme*/ - - for (k1=1; k1<= m ; k1 ++) { - for (cpt=1; cpt<= nlstate ; cpt ++) { - k=2+nlstate*(2*cpt-2); - fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1); - fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt); - /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1); - for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) "); -fprintf(ficgp,"\" t \"e%d1\" w l",cpt); -fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1); - for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) "); -fprintf(ficgp,"\" t \"e%d1\" w l",cpt); - -*/ - for (i=1; i< nlstate ; i ++) { - fprintf(ficgp," ,\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+2*i,cpt,i+1); - - } - } - } - - /* CV preval stat */ - for (k1=1; k1<= m ; k1 ++) { - for (cpt=1; cpt=(ageminpar-((int)calagedate %12)/12.); agedeb--){ - nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); - nhstepm = nhstepm/hstepm; - - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - oldm=oldms;savm=savms; - hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); - - for (h=0; h<=nhstepm; h++){ - if (h==(int) (calagedate+YEARM*cpt)) { - fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm); - } - for(j=1; j<=nlstate+ndeath;j++) { - kk1=0.;kk2=0; - for(i=1; i<=nlstate;i++) { - if (mobilav==1) - kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; - else { - kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; - } - - } - if (h==(int)(calagedate+12*cpt)){ - fprintf(ficresf," %.3f", kk1); - - } - } - } - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } - } - } - } - - if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - - fclose(ficresf); -} -/************** Forecasting ******************/ -populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){ - - int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; - int *popage; - double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; - double *popeffectif,*popcount; - double ***p3mat,***tabpop,***tabpopprev; - char filerespop[FILENAMELENGTH]; - - tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - agelim=AGESUP; - calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; - - prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate); - - - strcpy(filerespop,"pop"); - strcat(filerespop,fileres); - if((ficrespop=fopen(filerespop,"w"))==NULL) { - printf("Problem with forecast resultfile: %s\n", filerespop); - } - printf("Computing forecasting: result on file '%s' \n", filerespop); - - if (cptcoveff==0) ncodemax[cptcoveff]=1; - - if (mobilav==1) { - mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - movingaverage(agedeb, fage, ageminpar, mobaverage); - } - - stepsize=(int) (stepm+YEARM-1)/YEARM; - if (stepm<=12) stepsize=1; - - agelim=AGESUP; - - hstepm=1; - hstepm=hstepm/stepm; - - if (popforecast==1) { - if((ficpop=fopen(popfile,"r"))==NULL) { - printf("Problem with population file : %s\n",popfile);exit(0); - } - popage=ivector(0,AGESUP); - popeffectif=vector(0,AGESUP); - popcount=vector(0,AGESUP); - - i=1; - while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; - - imx=i; - for (i=1; i=(ageminpar-((int)calagedate %12)/12.); agedeb--){ - nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); - nhstepm = nhstepm/hstepm; - - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - oldm=oldms;savm=savms; - hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); - - for (h=0; h<=nhstepm; h++){ - if (h==(int) (calagedate+YEARM*cpt)) { - fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); - } - for(j=1; j<=nlstate+ndeath;j++) { - kk1=0.;kk2=0; - for(i=1; i<=nlstate;i++) { - if (mobilav==1) - kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; - else { - kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; - } - } - if (h==(int)(calagedate+12*cpt)){ - tabpop[(int)(agedeb)][j][cptcod]=kk1; - /*fprintf(ficrespop," %.3f", kk1); - if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/ - } - } - for(i=1; i<=nlstate;i++){ - kk1=0.; - for(j=1; j<=nlstate;j++){ - kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; - } - tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)]; - } - - if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++) - fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); - } - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } - } - - /******/ - - for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { - fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt); - for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){ - nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); - nhstepm = nhstepm/hstepm; - - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - oldm=oldms;savm=savms; - hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); - for (h=0; h<=nhstepm; h++){ - if (h==(int) (calagedate+YEARM*cpt)) { - fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); - } - for(j=1; j<=nlstate+ndeath;j++) { - kk1=0.;kk2=0; - for(i=1; i<=nlstate;i++) { - kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod]; - } - if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1); - } - } - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - } - } - } - } - - if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - - if (popforecast==1) { - free_ivector(popage,0,AGESUP); - free_vector(popeffectif,0,AGESUP); - free_vector(popcount,0,AGESUP); - } - free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); - fclose(ficrespop); -} - -/***********************************************/ -/**************** Main Program *****************/ -/***********************************************/ - -int main(int argc, char *argv[]) -{ - - int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod; - double agedeb, agefin,hf; - double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20; - - double fret; - double **xi,tmp,delta; - - double dum; /* Dummy variable */ - double ***p3mat; - int *indx; - char line[MAXLINE], linepar[MAXLINE]; - char title[MAXLINE]; - char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH], filerespl[FILENAMELENGTH]; - char optionfilext[10], optionfilefiname[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilegnuplot[FILENAMELENGTH], plotcmd[FILENAMELENGTH]; - - char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH]; - - char filerest[FILENAMELENGTH]; - char fileregp[FILENAMELENGTH]; - char popfile[FILENAMELENGTH]; - char path[80],pathc[80],pathcd[80],pathtot[80],model[20]; - int firstobs=1, lastobs=10; - int sdeb, sfin; /* Status at beginning and end */ - int c, h , cpt,l; - int ju,jl, mi; - int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij; - int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab; - int mobilav=0,popforecast=0; - int hstepm, nhstepm; - double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate; - - double bage, fage, age, agelim, agebase; - double ftolpl=FTOL; - double **prlim; - double *severity; - double ***param; /* Matrix of parameters */ - double *p; - double **matcov; /* Matrix of covariance */ - double ***delti3; /* Scale */ - double *delti; /* Scale */ - double ***eij, ***vareij; - double **varpl; /* Variances of prevalence limits by age */ - double *epj, vepp; - double kk1, kk2; - double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2; - - - char version[80]="Imach version 0.8e, May 2002, INED-EUROREVES "; - char *alph[]={"a","a","b","c","d","e"}, str[4]; - - - char z[1]="c", occ; -#include -#include - char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80]; - - /* long total_usecs; - struct timeval start_time, end_time; - - gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */ - getcwd(pathcd, size); - - printf("\n%s",version); - if(argc <=1){ - printf("\nEnter the parameter file name: "); - scanf("%s",pathtot); - } - else{ - strcpy(pathtot,argv[1]); - } - /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/ - /*cygwin_split_path(pathtot,path,optionfile); - printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/ - /* cutv(path,optionfile,pathtot,'\\');*/ - - split(pathtot,path,optionfile,optionfilext,optionfilefiname); - printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname); - chdir(path); - replace(pathc,path); - -/*-------- arguments in the command line --------*/ - - strcpy(fileres,"r"); - strcat(fileres, optionfilefiname); - strcat(fileres,".txt"); /* Other files have txt extension */ - - /*---------arguments file --------*/ - - if((ficpar=fopen(optionfile,"r"))==NULL) { - printf("Problem with optionfile %s\n",optionfile); - goto end; - } - - strcpy(filereso,"o"); - strcat(filereso,fileres); - if((ficparo=fopen(filereso,"w"))==NULL) { - printf("Problem with Output resultfile: %s\n", filereso);goto end; - } - - /* Reads comments: lines beginning with '#' */ - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); - printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); - fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model); -while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - - covar=matrix(0,NCOVMAX,1,n); - cptcovn=0; - if (strlen(model)>1) cptcovn=nbocc(model,'+')+1; - - ncovmodel=2+cptcovn; - nvar=ncovmodel-1; /* Suppressing age as a basic covariate */ - - /* Read guess parameters */ - /* Reads comments: lines beginning with '#' */ - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); - for(i=1; i <=nlstate; i++) - for(j=1; j <=nlstate+ndeath-1; j++){ - fscanf(ficpar,"%1d%1d",&i1,&j1); - fprintf(ficparo,"%1d%1d",i1,j1); - printf("%1d%1d",i,j); - for(k=1; k<=ncovmodel;k++){ - fscanf(ficpar," %lf",¶m[i][j][k]); - printf(" %lf",param[i][j][k]); - fprintf(ficparo," %lf",param[i][j][k]); - } - fscanf(ficpar,"\n"); - printf("\n"); - fprintf(ficparo,"\n"); - } - - npar= (nlstate+ndeath-1)*nlstate*ncovmodel; - - p=param[1][1]; - - /* Reads comments: lines beginning with '#' */ - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); - delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */ - for(i=1; i <=nlstate; i++){ - for(j=1; j <=nlstate+ndeath-1; j++){ - fscanf(ficpar,"%1d%1d",&i1,&j1); - printf("%1d%1d",i,j); - fprintf(ficparo,"%1d%1d",i1,j1); - for(k=1; k<=ncovmodel;k++){ - fscanf(ficpar,"%le",&delti3[i][j][k]); - printf(" %le",delti3[i][j][k]); - fprintf(ficparo," %le",delti3[i][j][k]); - } - fscanf(ficpar,"\n"); - printf("\n"); - fprintf(ficparo,"\n"); - } - } - delti=delti3[1][1]; - - /* Reads comments: lines beginning with '#' */ - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - matcov=matrix(1,npar,1,npar); - for(i=1; i <=npar; i++){ - fscanf(ficpar,"%s",&str); - printf("%s",str); - fprintf(ficparo,"%s",str); - for(j=1; j <=i; j++){ - fscanf(ficpar," %le",&matcov[i][j]); - printf(" %.5le",matcov[i][j]); - fprintf(ficparo," %.5le",matcov[i][j]); - } - fscanf(ficpar,"\n"); - printf("\n"); - fprintf(ficparo,"\n"); - } - for(i=1; i <=npar; i++) - for(j=i+1;j<=npar;j++) - matcov[i][j]=matcov[j][i]; - - printf("\n"); - - - /*-------- Rewriting paramater file ----------*/ - strcpy(rfileres,"r"); /* "Rparameterfile */ - strcat(rfileres,optionfilefiname); /* Parameter file first name*/ - strcat(rfileres,"."); /* */ - strcat(rfileres,optionfilext); /* Other files have txt extension */ - if((ficres =fopen(rfileres,"w"))==NULL) { - printf("Problem writing new parameter file: %s\n", fileres);goto end; - } - fprintf(ficres,"#%s\n",version); - - /*-------- data file ----------*/ - if((fic=fopen(datafile,"r"))==NULL) { - printf("Problem with datafile: %s\n", datafile);goto end; - } - - n= lastobs; - severity = vector(1,maxwav); - outcome=imatrix(1,maxwav+1,1,n); - num=ivector(1,n); - moisnais=vector(1,n); - annais=vector(1,n); - moisdc=vector(1,n); - andc=vector(1,n); - agedc=vector(1,n); - cod=ivector(1,n); - weight=vector(1,n); - for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */ - mint=matrix(1,maxwav,1,n); - anint=matrix(1,maxwav,1,n); - s=imatrix(1,maxwav+1,1,n); - adl=imatrix(1,maxwav+1,1,n); - tab=ivector(1,NCOVMAX); - ncodemax=ivector(1,8); - - i=1; - while (fgets(line, MAXLINE, fic) != NULL) { - if ((i >= firstobs) && (i <=lastobs)) { - - for (j=maxwav;j>=1;j--){ - cutv(stra, strb,line,' '); s[j][i]=atoi(strb); - strcpy(line,stra); - cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra); - cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra); - } - - cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra); - cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra); - - cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra); - cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra); - - cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra); - for (j=ncovcol;j>=1;j--){ - cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra); - } - num[i]=atol(stra); - - /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){ - printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]), (mint[2][i]), (anint[2][i]), (s[2][i]), (mint[3][i]), (anint[3][i]), (s[3][i]), (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/ - - i=i+1; - } - } - /* printf("ii=%d", ij); - scanf("%d",i);*/ - imx=i-1; /* Number of individuals */ - - /* for (i=1; i<=imx; i++){ - if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3; - if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3; - if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3; - }*/ - /* for (i=1; i<=imx; i++){ - if (s[4][i]==9) s[4][i]=-1; - printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]), (mint[2][i]), (anint[2][i]), (s[2][i]), (mint[3][i]), (anint[3][i]), (s[3][i]), (mint[4][i]), (anint[4][i]), (s[4][i]));}*/ - - - /* Calculation of the number of parameter from char model*/ - Tvar=ivector(1,15); - Tprod=ivector(1,15); - Tvaraff=ivector(1,15); - Tvard=imatrix(1,15,1,2); - Tage=ivector(1,15); - - if (strlen(model) >1){ - j=0, j1=0, k1=1, k2=1; - j=nbocc(model,'+'); - j1=nbocc(model,'*'); - cptcovn=j+1; - cptcovprod=j1; - - strcpy(modelsav,model); - if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){ - printf("Error. Non available option model=%s ",model); - goto end; - } - - for(i=(j+1); i>=1;i--){ - cutv(stra,strb,modelsav,'+'); - if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); - /* printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/ - /*scanf("%d",i);*/ - if (strchr(strb,'*')) { - cutv(strd,strc,strb,'*'); - if (strcmp(strc,"age")==0) { - cptcovprod--; - cutv(strb,stre,strd,'V'); - Tvar[i]=atoi(stre); - cptcovage++; - Tage[cptcovage]=i; - /*printf("stre=%s ", stre);*/ - } - else if (strcmp(strd,"age")==0) { - cptcovprod--; - cutv(strb,stre,strc,'V'); - Tvar[i]=atoi(stre); - cptcovage++; - Tage[cptcovage]=i; - } - else { - cutv(strb,stre,strc,'V'); - Tvar[i]=ncovcol+k1; - cutv(strb,strc,strd,'V'); - Tprod[k1]=i; - Tvard[k1][1]=atoi(strc); - Tvard[k1][2]=atoi(stre); - Tvar[cptcovn+k2]=Tvard[k1][1]; - Tvar[cptcovn+k2+1]=Tvard[k1][2]; - for (k=1; k<=lastobs;k++) - covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k]; - k1++; - k2=k2+2; - } - } - else { - /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/ - /* scanf("%d",i);*/ - cutv(strd,strc,strb,'V'); - Tvar[i]=atoi(strc); - } - strcpy(modelsav,stra); - /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav); - scanf("%d",i);*/ - } -} - - /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]); - printf("cptcovprod=%d ", cptcovprod); - scanf("%d ",i);*/ - fclose(fic); - - /* if(mle==1){*/ - if (weightopt != 1) { /* Maximisation without weights*/ - for(i=1;i<=n;i++) weight[i]=1.0; - } - /*-calculation of age at interview from date of interview and age at death -*/ - agev=matrix(1,maxwav,1,imx); - - for (i=1; i<=imx; i++) { - for(m=2; (m<= maxwav); m++) { - if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){ - anint[m][i]=9999; - s[m][i]=-1; - } - if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1; - } - } - - for (i=1; i<=imx; i++) { - agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]); - for(m=1; (m<= maxwav); m++){ - if(s[m][i] >0){ - if (s[m][i] >= nlstate+1) { - if(agedc[i]>0) - if(moisdc[i]!=99 && andc[i]!=9999) - agev[m][i]=agedc[i]; - /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/ - else { - if (andc[i]!=9999){ - printf("Warning negative age at death: %d line:%d\n",num[i],i); - agev[m][i]=-1; - } - } - } - else if(s[m][i] !=9){ /* Should no more exist */ - agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]); - if(mint[m][i]==99 || anint[m][i]==9999) - agev[m][i]=1; - else if(agev[m][i] agemax){ - agemax=agev[m][i]; - /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/ - } - /*agev[m][i]=anint[m][i]-annais[i];*/ - /* agev[m][i] = age[i]+2*m;*/ - } - else { /* =9 */ - agev[m][i]=1; - s[m][i]=-1; - } - } - else /*= 0 Unknown */ - agev[m][i]=1; - } - - } - for (i=1; i<=imx; i++) { - for(m=1; (m<= maxwav); m++){ - if (s[m][i] > (nlstate+ndeath)) { - printf("Error: Wrong value in nlstate or ndeath\n"); - goto end; - } - } - } - -printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); - - free_vector(severity,1,maxwav); - free_imatrix(outcome,1,maxwav+1,1,n); - free_vector(moisnais,1,n); - free_vector(annais,1,n); - /* free_matrix(mint,1,maxwav,1,n); - free_matrix(anint,1,maxwav,1,n);*/ - free_vector(moisdc,1,n); - free_vector(andc,1,n); - - - wav=ivector(1,imx); - dh=imatrix(1,lastpass-firstpass+1,1,imx); - mw=imatrix(1,lastpass-firstpass+1,1,imx); - - /* Concatenates waves */ - concatwav(wav, dh, mw, s, agedc, agev, firstpass, lastpass, imx, nlstate, stepm); - - - Tcode=ivector(1,100); - nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); - ncodemax[1]=1; - if (cptcovn > 0) tricode(Tvar,nbcode,imx); - - codtab=imatrix(1,100,1,10); - h=0; - m=pow(2,cptcoveff); - - for(k=1;k<=cptcoveff; k++){ - for(i=1; i <=(m/pow(2,k));i++){ - for(j=1; j <= ncodemax[k]; j++){ - for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){ - h++; - if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j; - /* printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/ - } - } - } - } - /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); - codtab[1][2]=1;codtab[2][2]=2; */ - /* for(i=1; i <=m ;i++){ - for(k=1; k <=cptcovn; k++){ - printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); - } - printf("\n"); - } - scanf("%d",i);*/ - - /* Calculates basic frequencies. Computes observed prevalence at single age - and prints on file fileres'p'. */ - - - - pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */ - - /* For Powell, parameters are in a vector p[] starting at p[1] - so we point p on param[1][1] so that p[1] maps on param[1][1][1] */ - p=param[1][1]; /* *(*(*(param +1)+1)+0) */ - - if(mle==1){ - mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func); - } - - /*--------- results files --------------*/ - fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model); - - - jk=1; - fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); - printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); - for(i=1,jk=1; i <=nlstate; i++){ - for(k=1; k <=(nlstate+ndeath); k++){ - if (k != i) - { - printf("%d%d ",i,k); - fprintf(ficres,"%1d%1d ",i,k); - for(j=1; j <=ncovmodel; j++){ - printf("%f ",p[jk]); - fprintf(ficres,"%f ",p[jk]); - jk++; - } - printf("\n"); - fprintf(ficres,"\n"); - } - } - } - if(mle==1){ - /* Computing hessian and covariance matrix */ - ftolhess=ftol; /* Usually correct */ - hesscov(matcov, p, npar, delti, ftolhess, func); - } - fprintf(ficres,"# Scales (for hessian or gradient estimation)\n"); - printf("# Scales (for hessian or gradient estimation)\n"); - for(i=1,jk=1; i <=nlstate; i++){ - for(j=1; j <=nlstate+ndeath; j++){ - if (j!=i) { - fprintf(ficres,"%1d%1d",i,j); - printf("%1d%1d",i,j); - for(k=1; k<=ncovmodel;k++){ - printf(" %.5e",delti[jk]); - fprintf(ficres," %.5e",delti[jk]); - jk++; - } - printf("\n"); - fprintf(ficres,"\n"); - } - } - } - - k=1; - fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n# ...\n# 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n"); - printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n# ...\n# 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n"); - for(i=1;i<=npar;i++){ - /* if (k>nlstate) k=1; - i1=(i-1)/(ncovmodel*nlstate)+1; - fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]); - printf("%s%d%d",alph[k],i1,tab[i]);*/ - fprintf(ficres,"%3d",i); - printf("%3d",i); - for(j=1; j<=i;j++){ - fprintf(ficres," %.5e",matcov[i][j]); - printf(" %.5e",matcov[i][j]); - } - fprintf(ficres,"\n"); - printf("\n"); - k++; - } - - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - estepm=0; - fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); - if (estepm==0 || estepm < stepm) estepm=stepm; - if (fage <= 2) { - bage = ageminpar; - fage = agemaxpar; - } - - fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n"); - fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm); - fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm); - - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2); - fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); - fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); - - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - - dateprev1=anprev1+mprev1/12.+jprev1/365.; - dateprev2=anprev2+mprev2/12.+jprev2/365.; - - fscanf(ficpar,"pop_based=%d\n",&popbased); - fprintf(ficparo,"pop_based=%d\n",popbased); - fprintf(ficres,"pop_based=%d\n",popbased); - - while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mov_average=%d\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilav); -fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav); -fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav); - - -while((c=getc(ficpar))=='#' && c!= EOF){ - ungetc(c,ficpar); - fgets(line, MAXLINE, ficpar); - puts(line); - fputs(line,ficparo); - } - ungetc(c,ficpar); - - fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1); - fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1); - fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1); - - freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); - -/*------------ gnuplot -------------*/ - printinggnuplot(fileres,optionfilefiname,optionfile,optionfilegnuplot, ageminpar,agemaxpar,fage, pathc,p); - -/*------------ free_vector -------------*/ - chdir(path); - - free_ivector(wav,1,imx); - free_imatrix(dh,1,lastpass-firstpass+1,1,imx); - free_imatrix(mw,1,lastpass-firstpass+1,1,imx); - free_ivector(num,1,n); - free_vector(agedc,1,n); - /*free_matrix(covar,1,NCOVMAX,1,n);*/ - fclose(ficparo); - fclose(ficres); - -/*--------- index.htm --------*/ - - printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,optionfile,optionfilehtm,rfileres,optionfilegnuplot,version,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2); - - - /*--------------- Prevalence limit --------------*/ - - strcpy(filerespl,"pl"); - strcat(filerespl,fileres); - if((ficrespl=fopen(filerespl,"w"))==NULL) { - printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end; - } - printf("Computing prevalence limit: result on file '%s' \n", filerespl); - fprintf(ficrespl,"#Prevalence limit\n"); - fprintf(ficrespl,"#Age "); - for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i); - fprintf(ficrespl,"\n"); - - prlim=matrix(1,nlstate,1,nlstate); - pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ - oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */ - k=0; - agebase=ageminpar; - agelim=agemaxpar; - ftolpl=1.e-10; - i1=cptcoveff; - if (cptcovn < 1){i1=1;} - - for(cptcov=1;cptcov<=i1;cptcov++){ - for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ - k=k+1; - /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/ - fprintf(ficrespl,"\n#******"); - for(j=1;j<=cptcoveff;j++) - fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficrespl,"******\n"); - - for (age=agebase; age<=agelim; age++){ - prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); - fprintf(ficrespl,"%.0f",age ); - for(i=1; i<=nlstate;i++) - fprintf(ficrespl," %.5f", prlim[i][i]); - fprintf(ficrespl,"\n"); - } - } - } - fclose(ficrespl); - - /*------------- h Pij x at various ages ------------*/ - - strcpy(filerespij,"pij"); strcat(filerespij,fileres); - if((ficrespij=fopen(filerespij,"w"))==NULL) { - printf("Problem with Pij resultfile: %s\n", filerespij);goto end; - } - printf("Computing pij: result on file '%s' \n", filerespij); - - stepsize=(int) (stepm+YEARM-1)/YEARM; - /*if (stepm<=24) stepsize=2;*/ - - agelim=AGESUP; - hstepm=stepsize*YEARM; /* Every year of age */ - hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ - - k=0; - for(cptcov=1;cptcov<=i1;cptcov++){ - for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ - k=k+1; - fprintf(ficrespij,"\n#****** "); - for(j=1;j<=cptcoveff;j++) - fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficrespij,"******\n"); - - for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */ - nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ - nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ - p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - oldm=oldms;savm=savms; - hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); - fprintf(ficrespij,"# Age"); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate+ndeath;j++) - fprintf(ficrespij," %1d-%1d",i,j); - fprintf(ficrespij,"\n"); - for (h=0; h<=nhstepm; h++){ - fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm ); - for(i=1; i<=nlstate;i++) - for(j=1; j<=nlstate+ndeath;j++) - fprintf(ficrespij," %.5f", p3mat[i][j][h]); - fprintf(ficrespij,"\n"); - } - free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); - fprintf(ficrespij,"\n"); - } - } - } - - varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax); - - fclose(ficrespij); - - - /*---------- Forecasting ------------------*/ - if((stepm == 1) && (strcmp(model,".")==0)){ - prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1); - if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1); - } - else{ - erreur=108; - printf("Warning %d!! You can only forecast the prevalences if the optimization\n has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); - } - - - /*---------- Health expectancies and variances ------------*/ - - strcpy(filerest,"t"); - strcat(filerest,fileres); - if((ficrest=fopen(filerest,"w"))==NULL) { - printf("Problem with total LE resultfile: %s\n", filerest);goto end; - } - printf("Computing Total LEs with variances: file '%s' \n", filerest); - - - strcpy(filerese,"e"); - strcat(filerese,fileres); - if((ficreseij=fopen(filerese,"w"))==NULL) { - printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0); - } - printf("Computing Health Expectancies: result on file '%s' \n", filerese); - - strcpy(fileresv,"v"); - strcat(fileresv,fileres); - if((ficresvij=fopen(fileresv,"w"))==NULL) { - printf("Problem with variance resultfile: %s\n", fileresv);exit(0); - } - printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv); - calagedate=-1; -prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate); - - k=0; - for(cptcov=1;cptcov<=i1;cptcov++){ - for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ - k=k+1; - fprintf(ficrest,"\n#****** "); - for(j=1;j<=cptcoveff;j++) - fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficrest,"******\n"); - - fprintf(ficreseij,"\n#****** "); - for(j=1;j<=cptcoveff;j++) - fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficreseij,"******\n"); - - fprintf(ficresvij,"\n#****** "); - for(j=1;j<=cptcoveff;j++) - fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficresvij,"******\n"); - - eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage); - oldm=oldms;savm=savms; - evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov); - - vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage); - oldm=oldms;savm=savms; - varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm); - - - - fprintf(ficrest,"#Total LEs with variances: e.. (std) "); - for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i); - fprintf(ficrest,"\n"); - - epj=vector(1,nlstate+1); - for(age=bage; age <=fage ;age++){ - prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); - if (popbased==1) { - for(i=1; i<=nlstate;i++) - prlim[i][i]=probs[(int)age][i][k]; - } - - fprintf(ficrest," %4.0f",age); - for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){ - for(i=1, epj[j]=0.;i <=nlstate;i++) { - epj[j] += prlim[i][i]*eij[i][j][(int)age]; - /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/ - } - epj[nlstate+1] +=epj[j]; - } - - for(i=1, vepp=0.;i <=nlstate;i++) - for(j=1;j <=nlstate;j++) - vepp += vareij[i][j][(int)age]; - fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp)); - for(j=1;j <=nlstate;j++){ - fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age])); - } - fprintf(ficrest,"\n"); - } - } - } -free_matrix(mint,1,maxwav,1,n); - free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n); - free_vector(weight,1,n); - fclose(ficreseij); - fclose(ficresvij); - fclose(ficrest); - fclose(ficpar); - free_vector(epj,1,nlstate+1); - - /*------- Variance limit prevalence------*/ - - strcpy(fileresvpl,"vpl"); - strcat(fileresvpl,fileres); - if((ficresvpl=fopen(fileresvpl,"w"))==NULL) { - printf("Problem with variance prev lim resultfile: %s\n", fileresvpl); - exit(0); - } - printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl); - - k=0; - for(cptcov=1;cptcov<=i1;cptcov++){ - for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ - k=k+1; - fprintf(ficresvpl,"\n#****** "); - for(j=1;j<=cptcoveff;j++) - fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); - fprintf(ficresvpl,"******\n"); - - varpl=matrix(1,nlstate,(int) bage, (int) fage); - oldm=oldms;savm=savms; - varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k); - } - } - - fclose(ficresvpl); - - /*---------- End : free ----------------*/ - free_matrix(varpl,1,nlstate,(int) bage, (int)fage); - - free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage); - free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage); - - - free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath); - free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath); - free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath); - free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath); - - free_matrix(matcov,1,npar,1,npar); - free_vector(delti,1,npar); - free_matrix(agev,1,maxwav,1,imx); - free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); - - if(erreur >0) - printf("End of Imach with error or warning %d\n",erreur); - else printf("End of Imach\n"); - /* gettimeofday(&end_time, (struct timezone*)0);*/ /* after time */ - - /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/ - /*printf("Total time was %d uSec.\n", total_usecs);*/ - /*------ End -----------*/ - - - end: -#ifdef windows - /* chdir(pathcd);*/ -#endif - /*system("wgnuplot graph.plt");*/ - /*system("../gp37mgw/wgnuplot graph.plt");*/ - /*system("cd ../gp37mgw");*/ - /* system("..\\gp37mgw\\wgnuplot graph.plt");*/ - strcpy(plotcmd,GNUPLOTPROGRAM); - strcat(plotcmd," "); - strcat(plotcmd,optionfilegnuplot); - system(plotcmd); - -#ifdef windows - while (z[0] != 'q') { - /* chdir(path); */ - printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: "); - scanf("%s",z); - if (z[0] == 'c') system("./imach"); - else if (z[0] == 'e') system(optionfilehtm); - else if (z[0] == 'g') system(plotcmd); - else if (z[0] == 'q') exit(0); - } -#endif -} - - +/* $Id: imach.c,v 1.138 2010/04/30 18:19:40 brouard Exp $ + $State: Exp $ + $Log: imach.c,v $ + Revision 1.138 2010/04/30 18:19:40 brouard + *** empty log message *** + + Revision 1.137 2010/04/29 18:11:38 brouard + (Module): Checking covariates for more complex models + than V1+V2. A lot of change to be done. Unstable. + + Revision 1.136 2010/04/26 20:30:53 brouard + (Module): merging some libgsl code. Fixing computation + of likelione (using inter/intrapolation if mle = 0) in order to + get same likelihood as if mle=1. + Some cleaning of code and comments added. + + Revision 1.135 2009/10/29 15:33:14 brouard + (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code. + + Revision 1.134 2009/10/29 13:18:53 brouard + (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code. + + Revision 1.133 2009/07/06 10:21:25 brouard + just nforces + + Revision 1.132 2009/07/06 08:22:05 brouard + Many tings + + Revision 1.131 2009/06/20 16:22:47 brouard + Some dimensions resccaled + + Revision 1.130 2009/05/26 06:44:34 brouard + (Module): Max Covariate is now set to 20 instead of 8. A + lot of cleaning with variables initialized to 0. Trying to make + V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better. + + Revision 1.129 2007/08/31 13:49:27 lievre + Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting + + Revision 1.128 2006/06/30 13:02:05 brouard + (Module): Clarifications on computing e.j + + Revision 1.127 2006/04/28 18:11:50 brouard + (Module): Yes the sum of survivors was wrong since + imach-114 because nhstepm was no more computed in the age + loop. Now we define nhstepma in the age loop. + (Module): In order to speed up (in case of numerous covariates) we + compute health expectancies (without variances) in a first step + and then all the health expectancies with variances or standard + deviation (needs data from the Hessian matrices) which slows the + computation. + In the future we should be able to stop the program is only health + expectancies and graph are needed without standard deviations. + + Revision 1.126 2006/04/28 17:23:28 brouard + (Module): Yes the sum of survivors was wrong since + imach-114 because nhstepm was no more computed in the age + loop. Now we define nhstepma in the age loop. + Version 0.98h + + Revision 1.125 2006/04/04 15:20:31 lievre + Errors in calculation of health expectancies. Age was not initialized. + Forecasting file added. + + Revision 1.124 2006/03/22 17:13:53 lievre + Parameters are printed with %lf instead of %f (more numbers after the comma). + The log-likelihood is printed in the log file + + Revision 1.123 2006/03/20 10:52:43 brouard + * imach.c (Module): changed, corresponds to .htm file + name. <head> headers where missing. + + * imach.c (Module): Weights can have a decimal point as for + English (a comma might work with a correct LC_NUMERIC environment, + otherwise the weight is truncated). + Modification of warning when the covariates values are not 0 or + 1. + Version 0.98g + + Revision 1.122 2006/03/20 09:45:41 brouard + (Module): Weights can have a decimal point as for + English (a comma might work with a correct LC_NUMERIC environment, + otherwise the weight is truncated). + Modification of warning when the covariates values are not 0 or + 1. + Version 0.98g + + Revision 1.121 2006/03/16 17:45:01 lievre + * imach.c (Module): Comments concerning covariates added + + * imach.c (Module): refinements in the computation of lli if + status=-2 in order to have more reliable computation if stepm is + not 1 month. Version 0.98f + + Revision 1.120 2006/03/16 15:10:38 lievre + (Module): refinements in the computation of lli if + status=-2 in order to have more reliable computation if stepm is + not 1 month. Version 0.98f + + Revision 1.119 2006/03/15 17:42:26 brouard + (Module): Bug if status = -2, the loglikelihood was + computed as likelihood omitting the logarithm. Version O.98e + + Revision 1.118 2006/03/14 18:20:07 brouard + (Module): varevsij Comments added explaining the second + table of variances if popbased=1 . + (Module): Covariances of eij, ekl added, graphs fixed, new html link. + (Module): Function pstamp added + (Module): Version 0.98d + + Revision 1.117 2006/03/14 17:16:22 brouard + (Module): varevsij Comments added explaining the second + table of variances if popbased=1 . + (Module): Covariances of eij, ekl added, graphs fixed, new html link. + (Module): Function pstamp added + (Module): Version 0.98d + + Revision 1.116 2006/03/06 10:29:27 brouard + (Module): Variance-covariance wrong links and + varian-covariance of ej. is needed (Saito). + + Revision 1.115 2006/02/27 12:17:45 brouard + (Module): One freematrix added in mlikeli! 0.98c + + Revision 1.114 2006/02/26 12:57:58 brouard + (Module): Some improvements in processing parameter + filename with strsep. + + Revision 1.113 2006/02/24 14:20:24 brouard + (Module): Memory leaks checks with valgrind and: + datafile was not closed, some imatrix were not freed and on matrix + allocation too. + + Revision 1.112 2006/01/30 09:55:26 brouard + (Module): Back to gnuplot.exe instead of wgnuplot.exe + + Revision 1.111 2006/01/25 20:38:18 brouard + (Module): Lots of cleaning and bugs added (Gompertz) + (Module): Comments can be added in data file. Missing date values + can be a simple dot '.'. + + Revision 1.110 2006/01/25 00:51:50 brouard + (Module): Lots of cleaning and bugs added (Gompertz) + + Revision 1.109 2006/01/24 19:37:15 brouard + (Module): Comments (lines starting with a #) are allowed in data. + + Revision 1.108 2006/01/19 18:05:42 lievre + Gnuplot problem appeared... + To be fixed + + Revision 1.107 2006/01/19 16:20:37 brouard + Test existence of gnuplot in imach path + + Revision 1.106 2006/01/19 13:24:36 brouard + Some cleaning and links added in html output + + Revision 1.105 2006/01/05 20:23:19 lievre + *** empty log message *** + + Revision 1.104 2005/09/30 16:11:43 lievre + (Module): sump fixed, loop imx fixed, and simplifications. + (Module): If the status is missing at the last wave but we know + that the person is alive, then we can code his/her status as -2 + (instead of missing=-1 in earlier versions) and his/her + contributions to the likelihood is 1 - Prob of dying from last + health status (= 1-p13= p11+p12 in the easiest case of somebody in + the healthy state at last known wave). Version is 0.98 + + Revision 1.103 2005/09/30 15:54:49 lievre + (Module): sump fixed, loop imx fixed, and simplifications. + + Revision 1.102 2004/09/15 17:31:30 brouard + Add the possibility to read data file including tab characters. + + Revision 1.101 2004/09/15 10:38:38 brouard + Fix on curr_time + + Revision 1.100 2004/07/12 18:29:06 brouard + Add version for Mac OS X. Just define UNIX in Makefile + + Revision 1.99 2004/06/05 08:57:40 brouard + *** empty log message *** + + Revision 1.98 2004/05/16 15:05:56 brouard + New version 0.97 . First attempt to estimate force of mortality + directly from the data i.e. without the need of knowing the health + state at each age, but using a Gompertz model: log u =a + b*age . + This is the basic analysis of mortality and should be done before any + other analysis, in order to test if the mortality estimated from the + cross-longitudinal survey is different from the mortality estimated + from other sources like vital statistic data. + + The same imach parameter file can be used but the option for mle should be -3. + + Agnès, who wrote this part of the code, tried to keep most of the + former routines in order to include the new code within the former code. + + The output is very simple: only an estimate of the intercept and of + the slope with 95% confident intervals. + + Current limitations: + A) Even if you enter covariates, i.e. with the + model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates. + B) There is no computation of Life Expectancy nor Life Table. + + Revision 1.97 2004/02/20 13:25:42 lievre + Version 0.96d. Population forecasting command line is (temporarily) + suppressed. + + Revision 1.96 2003/07/15 15:38:55 brouard + * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is + rewritten within the same printf. Workaround: many printfs. + + Revision 1.95 2003/07/08 07:54:34 brouard + * imach.c (Repository): + (Repository): Using imachwizard code to output a more meaningful covariance + matrix (cov(a12,c31) instead of numbers. + + Revision 1.94 2003/06/27 13:00:02 brouard + Just cleaning + + Revision 1.93 2003/06/25 16:33:55 brouard + (Module): On windows (cygwin) function asctime_r doesn't + exist so I changed back to asctime which exists. + (Module): Version 0.96b + + Revision 1.92 2003/06/25 16:30:45 brouard + (Module): On windows (cygwin) function asctime_r doesn't + exist so I changed back to asctime which exists. + + Revision 1.91 2003/06/25 15:30:29 brouard + * imach.c (Repository): Duplicated warning errors corrected. + (Repository): Elapsed time after each iteration is now output. It + helps to forecast when convergence will be reached. Elapsed time + is stamped in powell. We created a new html file for the graphs + concerning matrix of covariance. It has extension -cov.htm. + + Revision 1.90 2003/06/24 12:34:15 brouard + (Module): Some bugs corrected for windows. Also, when + mle=-1 a template is output in file "or"mypar.txt with the design + of the covariance matrix to be input. + + Revision 1.89 2003/06/24 12:30:52 brouard + (Module): Some bugs corrected for windows. Also, when + mle=-1 a template is output in file "or"mypar.txt with the design + of the covariance matrix to be input. + + Revision 1.88 2003/06/23 17:54:56 brouard + * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things. + + Revision 1.87 2003/06/18 12:26:01 brouard + Version 0.96 + + Revision 1.86 2003/06/17 20:04:08 brouard + (Module): Change position of html and gnuplot routines and added + routine fileappend. + + Revision 1.85 2003/06/17 13:12:43 brouard + * imach.c (Repository): Check when date of death was earlier that + current date of interview. It may happen when the death was just + prior to the death. In this case, dh was negative and likelihood + was wrong (infinity). We still send an "Error" but patch by + assuming that the date of death was just one stepm after the + interview. + (Repository): Because some people have very long ID (first column) + we changed int to long in num[] and we added a new lvector for + memory allocation. But we also truncated to 8 characters (left + truncation) + (Repository): No more line truncation errors. + + Revision 1.84 2003/06/13 21:44:43 brouard + * imach.c (Repository): Replace "freqsummary" at a correct + place. It differs from routine "prevalence" which may be called + many times. Probs is memory consuming and must be used with + parcimony. + Version 0.95a3 (should output exactly the same maximization than 0.8a2) + + Revision 1.83 2003/06/10 13:39:11 lievre + *** empty log message *** + + Revision 1.82 2003/06/05 15:57:20 brouard + Add log in imach.c and fullversion number is now printed. + +*/ +/* + Interpolated Markov Chain + + Short summary of the programme: + + This program computes Healthy Life Expectancies from + cross-longitudinal data. Cross-longitudinal data consist in: -1- a + first survey ("cross") where individuals from different ages are + interviewed on their health status or degree of disability (in the + case of a health survey which is our main interest) -2- at least a + second wave of interviews ("longitudinal") which measure each change + (if any) in individual health status. Health expectancies are + computed from the time spent in each health state according to a + model. More health states you consider, more time is necessary to reach the + Maximum Likelihood of the parameters involved in the model. The + simplest model is the multinomial logistic model where pij is the + probability to be observed in state j at the second wave + conditional to be observed in state i at the first wave. Therefore + the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where + 'age' is age and 'sex' is a covariate. If you want to have a more + complex model than "constant and age", you should modify the program + where the markup *Covariates have to be included here again* invites + you to do it. More covariates you add, slower the + convergence. + + The advantage of this computer programme, compared to a simple + multinomial logistic model, is clear when the delay between waves is not + identical for each individual. Also, if a individual missed an + intermediate interview, the information is lost, but taken into + account using an interpolation or extrapolation. + + hPijx is the probability to be observed in state i at age x+h + conditional to the observed state i at age x. The delay 'h' can be + split into an exact number (nh*stepm) of unobserved intermediate + states. This elementary transition (by month, quarter, + semester or year) is modelled as a multinomial logistic. The hPx + matrix is simply the matrix product of nh*stepm elementary matrices + and the contribution of each individual to the likelihood is simply + hPijx. + + Also this programme outputs the covariance matrix of the parameters but also + of the life expectancies. It also computes the period (stable) prevalence. + + Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr). + Institut national d'études démographiques, Paris. + This software have been partly granted by Euro-REVES, a concerted action + from the European Union. + It is copyrighted identically to a GNU software product, ie programme and + software can be distributed freely for non commercial use. Latest version + can be accessed at http://euroreves.ined.fr/imach . + + Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach + or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so + + **********************************************************************/ +/* + main + read parameterfile + read datafile + concatwav + freqsummary + if (mle >= 1) + mlikeli + print results files + if mle==1 + computes hessian + read end of parameter file: agemin, agemax, bage, fage, estepm + begin-prev-date,... + open gnuplot file + open html file + period (stable) prevalence + for age prevalim() + h Pij x + variance of p varprob + forecasting if prevfcast==1 prevforecast call prevalence() + health expectancies + Variance-covariance of DFLE + prevalence() + movingaverage() + varevsij() + if popbased==1 varevsij(,popbased) + total life expectancies + Variance of period (stable) prevalence + end +*/ + + + + +#include <math.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <unistd.h> + +#include <limits.h> +#include <sys/types.h> +#include <sys/stat.h> +#include <errno.h> +extern int errno; + +/* #include <sys/time.h> */ +#include <time.h> +#include "timeval.h" + +#ifdef GSL +#include <gsl/gsl_errno.h> +#include <gsl/gsl_multimin.h> +#endif + +/* #include <libintl.h> */ +/* #define _(String) gettext (String) */ + +#define MAXLINE 256 + +#define GNUPLOTPROGRAM "gnuplot" +/*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/ +#define FILENAMELENGTH 132 + +#define GLOCK_ERROR_NOPATH -1 /* empty path */ +#define GLOCK_ERROR_GETCWD -2 /* cannot get cwd */ + +#define MAXPARM 128 /* Maximum number of parameters for the optimization */ +#define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */ + +#define NINTERVMAX 8 +#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 */ +#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 */ +#ifdef UNIX +#define DIRSEPARATOR '/' +#define CHARSEPARATOR "/" +#define ODIRSEPARATOR '\\' +#else +#define DIRSEPARATOR '\\' +#define CHARSEPARATOR "\\" +#define ODIRSEPARATOR '/' +#endif + +/* $Id: imach.c,v 1.138 2010/04/30 18:19:40 brouard Exp $ */ +/* $State: Exp $ */ + +char version[]="Imach version 0.98m, April 2010, INED-EUROREVES-Institut de longevite "; +char fullversion[]="$Revision: 1.138 $ $Date: 2010/04/30 18:19:40 $"; +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 cptcovn=0, cptcovage=0, cptcoveff=0,cptcov=0; /* Number of covariates, of covariates with '*age' */ +int npar=NPARMAX; +int nlstate=2; /* Number of live states */ +int ndeath=1; /* Number of dead states */ +int ncovmodel=0, ncovcol=0; /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */ +int popbased=0; + +int *wav; /* Number of waves for this individuual 0 is possible */ +int maxwav=0; /* Maxim number of waves */ +int jmin=0, jmax=0; /* min, max spacing between 2 waves */ +int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ +int gipmx=0, gsw=0; /* Global variables on the number of contributions + to the likelihood and the sum of weights (done by funcone)*/ +int mle=1, weightopt=0; +int **mw; /* mw[mi][i] is number of the mi wave for this individual */ +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. */ +double jmean=1; /* Mean space between 2 waves */ +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 *ficlog, *ficrespow; +int globpr=0; /* Global variable for printing or not */ +double fretone; /* Only one call to likelihood */ +long ipmx=0; /* Number of contributions */ +double sw; /* Sum of weights */ +char filerespow[FILENAMELENGTH]; +char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */ +FILE *ficresilk; +FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor; +FILE *ficresprobmorprev; +FILE *fichtm, *fichtmcov; /* Html File */ +FILE *ficreseij; +char filerese[FILENAMELENGTH]; +FILE *ficresstdeij; +char fileresstde[FILENAMELENGTH]; +FILE *ficrescveij; +char filerescve[FILENAMELENGTH]; +FILE *ficresvij; +char fileresv[FILENAMELENGTH]; +FILE *ficresvpl; +char fileresvpl[FILENAMELENGTH]; +char title[MAXLINE]; +char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH], filerespl[FILENAMELENGTH]; +char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH]; +char tmpout[FILENAMELENGTH], tmpout2[FILENAMELENGTH]; +char command[FILENAMELENGTH]; +int outcmd=0; + +char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH]; + +char filelog[FILENAMELENGTH]; /* Log file */ +char filerest[FILENAMELENGTH]; +char fileregp[FILENAMELENGTH]; +char popfile[FILENAMELENGTH]; + +char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ; + +struct timeval start_time, end_time, curr_time, last_time, forecast_time; +struct timezone tzp; +extern int gettimeofday(); +struct tm tmg, tm, tmf, *gmtime(), *localtime(); +long time_value; +extern long time(); +char strcurr[80], strfor[80]; + +char *endptr; +long lval; +double dval; + +#define NR_END 1 +#define FREE_ARG char* +#define FTOL 1.0e-10 + +#define NRANSI +#define ITMAX 200 + +#define TOL 2.0e-4 + +#define CGOLD 0.3819660 +#define ZEPS 1.0e-10 +#define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); + +#define GOLD 1.618034 +#define GLIMIT 100.0 +#define TINY 1.0e-20 + +static double maxarg1,maxarg2; +#define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2)) +#define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2)) + +#define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a)) +#define rint(a) floor(a+0.5) + +static double sqrarg; +#define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg) +#define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} +int agegomp= AGEGOMP; + +int imx; +int stepm=1; +/* Stepm, step in month: minimum step interpolation*/ + +int estepm; +/* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/ + +int m,nb; +long *num; +int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage,*cens; +double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint; +double **pmmij, ***probs; +double *ageexmed,*agecens; +double dateintmean=0; + +double *weight; +int **s; /* Status */ +double *agedc, **covar, idx; +int **nbcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff; +double *lsurv, *lpop, *tpop; + +double ftol=FTOL; /* Tolerance for computing Max Likelihood */ +double ftolhess; /* Tolerance for computing hessian */ + +/**************** split *************************/ +static int split( char *path, char *dirc, char *name, char *ext, char *finame ) +{ + /* From a file name with (full) path (either Unix or Windows) we extract the directory (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 */ + + l1 = strlen(path ); /* length of path */ + if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH ); + ss= strrchr( path, DIRSEPARATOR ); /* find last / */ + if ( ss == NULL ) { /* no directory, so determine current directory */ + strcpy( name, path ); /* we got the fullname name because no directory */ + /*if(strrchr(path, ODIRSEPARATOR )==NULL) + 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 ) { + return( GLOCK_ERROR_GETCWD ); + } + /* got dirc from getcwd*/ + printf(" DIRC = %s \n",dirc); + } else { /* strip direcotry 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 */ + printf(" DIRC2 = %s \n",dirc); + } + /* We add a separator at the end of dirc if not exists */ + l1 = strlen( dirc ); /* length of directory */ + if( dirc[l1-1] != DIRSEPARATOR ){ + dirc[l1] = DIRSEPARATOR; + dirc[l1+1] = 0; + printf(" DIRC3 = %s \n",dirc); + } + ss = strrchr( name, '.' ); /* find last / */ + if (ss >0){ + ss++; + strcpy(ext,ss); /* save extension */ + l1= strlen( name); + l2= strlen(ss)+1; + strncpy( finame, name, l1-l2); + finame[l1-l2]= 0; + } + + return( 0 ); /* we're done */ +} + + +/******************************************/ + +void replace_back_to_slash(char *s, char*t) +{ + int i; + int lg=0; + i=0; + lg=strlen(t); + for(i=0; i<= lg; i++) { + (s[i] = t[i]); + if (t[i]== '\\') s[i]='/'; + } +} + +char *trimbb(char *out, char *in) +{ /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */ + char *s; + s=out; + while (*in != '\0'){ + while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/ + in++; + } + *out++ = *in++; + } + *out='\0'; + return s; +} + +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' + 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 + */ + char *s, *t; + t=in;s=in; + while (*in != '\0'){ + while( *in == occ){ + *blocc++ = *in++; + s=in; + } + *blocc++ = *in++; + } + if (s == t) /* occ not found */ + *(blocc-(in-s))='\0'; + else + *(blocc-(in-s)-1)='\0'; + in=s; + while ( *in != '\0'){ + *alocc++ = *in++; + } + + *alocc='\0'; + return s; +} + +int nbocc(char *s, char occ) +{ + int i,j=0; + int lg=20; + i=0; + lg=strlen(s); + for(i=0; i<= lg; i++) { + if (s[i] == occ ) j++; + } + return j; +} + +/* void cutv(char *u,char *v, char*t, char occ) */ +/* { */ +/* /\* cuts string t into u and v where u ends before last occurence of char 'occ' */ +/* and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */ +/* gives u="abcdef2ghi" and v="j" *\/ */ +/* int i,lg,j,p=0; */ +/* i=0; */ +/* lg=strlen(t); */ +/* for(j=0; j<=lg-1; j++) { */ +/* if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */ +/* } */ + +/* for(j=0; j<p; j++) { */ +/* (u[j] = t[j]); */ +/* } */ +/* u[p]='\0'; */ + +/* for(j=0; j<= lg; j++) { */ +/* if (j>=(p+1))(v[j-p-1] = t[j]); */ +/* } */ +/* } */ + +/********************** nrerror ********************/ + +void nrerror(char error_text[]) +{ + fprintf(stderr,"ERREUR ...\n"); + fprintf(stderr,"%s\n",error_text); + exit(EXIT_FAILURE); +} +/*********************** vector *******************/ +double *vector(int nl, int nh) +{ + double *v; + v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double))); + if (!v) nrerror("allocation failure in vector"); + return v-nl+NR_END; +} + +/************************ free vector ******************/ +void free_vector(double*v, int nl, int nh) +{ + free((FREE_ARG)(v+nl-NR_END)); +} + +/************************ivector *******************************/ +int *ivector(long nl,long nh) +{ + int *v; + v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int))); + if (!v) nrerror("allocation failure in ivector"); + return v-nl+NR_END; +} + +/******************free ivector **************************/ +void free_ivector(int *v, long nl, long nh) +{ + free((FREE_ARG)(v+nl-NR_END)); +} + +/************************lvector *******************************/ +long *lvector(long nl,long nh) +{ + long *v; + v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long))); + if (!v) nrerror("allocation failure in ivector"); + return v-nl+NR_END; +} + +/******************free lvector **************************/ +void free_lvector(long *v, long nl, long nh) +{ + free((FREE_ARG)(v+nl-NR_END)); +} + +/******************* imatrix *******************************/ +int **imatrix(long nrl, long nrh, long ncl, long nch) + /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ +{ + long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; + int **m; + + /* allocate pointers to rows */ + m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); + if (!m) nrerror("allocation failure 1 in matrix()"); + m += NR_END; + m -= nrl; + + + /* allocate rows and set pointers to them */ + m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); + if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); + m[nrl] += NR_END; + m[nrl] -= ncl; + + for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; + + /* return pointer to array of pointers to rows */ + return m; +} + +/****************** free_imatrix *************************/ +void free_imatrix(m,nrl,nrh,ncl,nch) + int **m; + long nch,ncl,nrh,nrl; + /* free an int matrix allocated by imatrix() */ +{ + free((FREE_ARG) (m[nrl]+ncl-NR_END)); + free((FREE_ARG) (m+nrl-NR_END)); +} + +/******************* matrix *******************************/ +double **matrix(long nrl, long nrh, long ncl, long nch) +{ + long i, nrow=nrh-nrl+1, ncol=nch-ncl+1; + double **m; + + m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*))); + if (!m) nrerror("allocation failure 1 in matrix()"); + m += NR_END; + m -= nrl; + + m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double))); + if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); + m[nrl] += NR_END; + m[nrl] -= ncl; + + for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol; + return m; + /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) + */ +} + +/*************************free matrix ************************/ +void free_matrix(double **m, long nrl, long nrh, long ncl, long nch) +{ + free((FREE_ARG)(m[nrl]+ncl-NR_END)); + free((FREE_ARG)(m+nrl-NR_END)); +} + +/******************* ma3x *******************************/ +double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh) +{ + long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1; + double ***m; + + m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*))); + if (!m) nrerror("allocation failure 1 in matrix()"); + m += NR_END; + m -= nrl; + + m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double))); + if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); + m[nrl] += NR_END; + m[nrl] -= ncl; + + for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol; + + m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double))); + if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()"); + m[nrl][ncl] += NR_END; + m[nrl][ncl] -= nll; + for (j=ncl+1; j<=nch; j++) + m[nrl][j]=m[nrl][j-1]+nlay; + + for (i=nrl+1; i<=nrh; i++) { + m[i][ncl]=m[i-1l][ncl]+ncol*nlay; + for (j=ncl+1; j<=nch; j++) + m[i][j]=m[i][j-1]+nlay; + } + return m; + /* gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1]) + &(m[i][j][k]) <=> *((*(m+i) + j)+k) + */ +} + +/*************************free ma3x ************************/ +void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh) +{ + free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END)); + free((FREE_ARG)(m[nrl]+ncl-NR_END)); + free((FREE_ARG)(m+nrl-NR_END)); +} + +/*************** function subdirf ***********/ +char *subdirf(char fileres[]) +{ + /* Caution optionfilefiname is hidden */ + strcpy(tmpout,optionfilefiname); + strcat(tmpout,"/"); /* Add to the right */ + strcat(tmpout,fileres); + return tmpout; +} + +/*************** function subdirf2 ***********/ +char *subdirf2(char fileres[], char *preop) +{ + + /* Caution optionfilefiname is hidden */ + strcpy(tmpout,optionfilefiname); + strcat(tmpout,"/"); + strcat(tmpout,preop); + strcat(tmpout,fileres); + return tmpout; +} + +/*************** function subdirf3 ***********/ +char *subdirf3(char fileres[], char *preop, char *preop2) +{ + + /* Caution optionfilefiname is hidden */ + strcpy(tmpout,optionfilefiname); + strcat(tmpout,"/"); + strcat(tmpout,preop); + strcat(tmpout,preop2); + strcat(tmpout,fileres); + return tmpout; +} + +/***************** f1dim *************************/ +extern int ncom; +extern double *pcom,*xicom; +extern double (*nrfunc)(double []); + +double f1dim(double x) +{ + int j; + double f; + double *xt; + + xt=vector(1,ncom); + for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; + f=(*nrfunc)(xt); + free_vector(xt,1,ncom); + return f; +} + +/*****************brent *************************/ +double brent(double ax, double bx, double cx, double (*f)(double), double tol, double *xmin) +{ + int iter; + double a,b,d,etemp; + double fu,fv,fw,fx; + double ftemp; + double p,q,r,tol1,tol2,u,v,w,x,xm; + double e=0.0; + + a=(ax < cx ? ax : cx); + b=(ax > cx ? ax : cx); + x=w=v=bx; + fw=fv=fx=(*f)(x); + for (iter=1;iter<=ITMAX;iter++) { + xm=0.5*(a+b); + tol2=2.0*(tol1=tol*fabs(x)+ZEPS); + /* if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/ + printf(".");fflush(stdout); + fprintf(ficlog,".");fflush(ficlog); +#ifdef DEBUG + 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)))) { */ +#endif + if (fabs(x-xm) <= (tol2-0.5*(b-a))){ + *xmin=x; + return fx; + } + ftemp=fu; + if (fabs(e) > tol1) { + r=(x-w)*(fx-fv); + q=(x-v)*(fx-fw); + p=(x-v)*q-(x-w)*r; + q=2.0*(q-r); + if (q > 0.0) p = -p; + q=fabs(q); + etemp=e; + e=d; + if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) + d=CGOLD*(e=(x >= xm ? a-x : b-x)); + else { + d=p/q; + u=x+d; + if (u-a < tol2 || b-u < tol2) + d=SIGN(tol1,xm-x); + } + } else { + d=CGOLD*(e=(x >= xm ? a-x : b-x)); + } + u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); + fu=(*f)(u); + 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; + } + } + } + nrerror("Too many iterations in brent"); + *xmin=x; + return fx; +} + +/****************** mnbrak ***********************/ + +void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, + double (*func)(double)) +{ + double ulim,u,r,q, dum; + double fu; + + *fa=(*func)(*ax); + *fb=(*func)(*bx); + if (*fb > *fa) { + SHFT(dum,*ax,*bx,dum) + SHFT(dum,*fb,*fa,dum) + } + *cx=(*bx)+GOLD*(*bx-*ax); + *fc=(*func)(*cx); + while (*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) { + fu=(*func)(u); + } else if ((*cx-u)*(u-ulim) > 0.0) { + fu=(*func)(u); + if (fu < *fc) { + SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) + SHFT(*fb,*fc,fu,(*func)(u)) + } + } else if ((u-ulim)*(ulim-*cx) >= 0.0) { + u=ulim; + fu=(*func)(u); + } else { + u=(*cx)+GOLD*(*cx-*bx); + fu=(*func)(u); + } + SHFT(*ax,*bx,*cx,u) + SHFT(*fa,*fb,*fc,fu) + } +} + +/*************** linmin ************************/ + +int ncom; +double *pcom,*xicom; +double (*nrfunc)(double []); + +void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) +{ + double brent(double ax, double bx, double cx, + double (*f)(double), double tol, double *xmin); + double f1dim(double x); + void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, + double *fc, double (*func)(double)); + int j; + double xx,xmin,bx,ax; + double fx,fb,fa; + + 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]; + } + ax=0.0; + xx=1.0; + mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); + *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); +#ifdef DEBUG + printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin); + fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin); +#endif + for (j=1;j<=n;j++) { + xi[j] *= xmin; + p[j] += xi[j]; + } + 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,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left); + return ascdiff; +} + +/*************** powell ************************/ +void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, + double (*func)(double [])) +{ + void linmin(double p[], double xi[], int n, double *fret, + double (*func)(double [])); + int i,ibig,j; + double del,t,*pt,*ptt,*xit; + double fp,fptt; + double *xits; + int niterf, itmp; + + pt=vector(1,n); + ptt=vector(1,n); + xit=vector(1,n); + xits=vector(1,n); + *fret=(*func)(p); + for (j=1;j<=n;j++) pt[j]=p[j]; + for (*iter=1;;++(*iter)) { + fp=(*fret); + ibig=0; + del=0.0; + last_time=curr_time; + (void) gettimeofday(&curr_time,&tzp); + printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout); + fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec); fflush(ficlog); +/* fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec); */ + for (i=1;i<=n;i++) { + printf(" %d %.12f",i, p[i]); + fprintf(ficlog," %d %.12lf",i, p[i]); + fprintf(ficrespow," %.12lf", p[i]); + } + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficrespow,"\n");fflush(ficrespow); + if(*iter <=3){ + tm = *localtime(&curr_time.tv_sec); + strcpy(strcurr,asctime(&tm)); +/* asctime_r(&tm,strcurr); */ + forecast_time=curr_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,curr_time.tv_sec-last_time.tv_sec); + fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec); + for(niterf=10;niterf<=30;niterf+=10){ + forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec); + tmf = *localtime(&forecast_time.tv_sec); +/* asctime_r(&tmf,strfor); */ + strcpy(strfor,asctime(&tmf)); + itmp = strlen(strfor); + if(strfor[itmp-1]=='\n') + strfor[itmp-1]='\0'; + printf(" - if your program needs %d iterations to converge, convergence will be \n reached in %s i.e.\n on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr); + 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(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr); + } + } + for (i=1;i<=n;i++) { + for (j=1;j<=n;j++) xit[j]=xi[j][i]; + fptt=(*fret); +#ifdef DEBUG + printf("fret=%lf \n",*fret); + fprintf(ficlog,"fret=%lf \n",*fret); +#endif + printf("%d",i);fflush(stdout); + fprintf(ficlog,"%d",i);fflush(ficlog); + linmin(p,xit,n,fret,func); + if (fabs(fptt-(*fret)) > del) { + del=fabs(fptt-(*fret)); + ibig=i; + } +#ifdef DEBUG + printf("%d %.12e",i,(*fret)); + fprintf(ficlog,"%d %.12e",i,(*fret)); + for (j=1;j<=n;j++) { + xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5); + printf(" x(%d)=%.12e",j,xit[j]); + 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("\n"); + fprintf(ficlog,"\n"); +#endif + } + if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { +#ifdef DEBUG + int k[2],l; + k[0]=1; + k[1]=-1; + printf("Max: %.12e",(*func)(p)); + fprintf(ficlog,"Max: %.12e",(*func)(p)); + for (j=1;j<=n;j++) { + printf(" %.12e",p[j]); + fprintf(ficlog," %.12e",p[j]); + } + printf("\n"); + fprintf(ficlog,"\n"); + for(l=0;l<=1;l++) { + for (j=1;j<=n;j++) { + ptt[j]=p[j]+(p[j]-pt[j])*k[l]; + printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]); + fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]); + } + printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p))); + fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p))); + } +#endif + + + free_vector(xit,1,n); + free_vector(xits,1,n); + free_vector(ptt,1,n); + free_vector(pt,1,n); + return; + } + if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); + for (j=1;j<=n;j++) { + 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); + for (j=1;j<=n;j++) { + xi[j][ibig]=xi[j][n]; + xi[j][n]=xit[j]; + } +#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); + for(j=1;j<=n;j++){ + printf(" %.12e",xit[j]); + fprintf(ficlog," %.12e",xit[j]); + } + printf("\n"); + fprintf(ficlog,"\n"); +#endif + } + } + } +} + +/**** Prevalence limit (stable or period prevalence) ****************/ + +double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, 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 */ + + int i, ii,j,k; + double min, max, maxmin, maxmax,sumnew=0.; + double **matprod2(); + double **out, cov[NCOVMAX+1], **pmij(); + double **newm; + double agefin, delaymax=50 ; /* Max number of years to converge */ + + 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 */ + for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){ + newm=savm; + /* Covariates have to be included here again */ + cov[2]=agefin; + + for (k=1; k<=cptcovn;k++) { + cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; + /* printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+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++) + cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]] * nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; + + /*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]);*/ + /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/ + out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); + + 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]; + prlim[i][j]= newm[i][j]/(1-sumnew); + max=FMAX(max,prlim[i][j]); + min=FMIN(min,prlim[i][j]); + } + maxmin=max-min; + maxmax=FMAX(maxmax,maxmin); + } + if(maxmax < ftolpl){ + return prlim; + } + } +} + +/*************** transition probabilities ***************/ + +double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate ) +{ + /* According to parameters values stored in x and the covariate's values stored in cov, + computes the probability to be observed in state j being in state i by appying the + model to the ncovmodel covariates (including constant and age). + lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc] + and, according on how parameters are entered, the position of the coefficient xij(nc) of the + ncth covariate in the global vector x is given by the formula: + j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel + j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel + Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation, + sums on j different of i to get 1-pii/pii, deduces pii, and then all pij. + Outputs ps[i][j] the probability to be observed in j being in j according to + the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij] + */ + double s1, lnpijopii; + /*double t34;*/ + int i,j,j1, nc, ii, jj; + + for(i=1; i<= nlstate; i++){ + for(j=1; j<i;j++){ + for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){ + /*lnpijopii += param[i][j][nc]*cov[nc];*/ + lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc]; +/* printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */ + } + ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */ +/* printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */ + } + for(j=i+1; j<=nlstate+ndeath;j++){ + for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){ + /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/ + lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc]; +/* printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */ + } + ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */ + } + } + + for(i=1; i<= nlstate; i++){ + s1=0; + for(j=1; j<i; j++){ + s1+=exp(ps[i][j]); /* In fact sums pij/pii */ + /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */ + } + for(j=i+1; j<=nlstate+ndeath; j++){ + s1+=exp(ps[i][j]); /* In fact sums pij/pii */ + /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */ + } + /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */ + ps[i][i]=1./(s1+1.); + /* Computing other pijs */ + for(j=1; j<i; j++) + ps[i][j]= exp(ps[i][j])*ps[i][i]; + for(j=i+1; j<=nlstate+ndeath; j++) + ps[i][j]= exp(ps[i][j])*ps[i][i]; + /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */ + } /* end i */ + + for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){ + for(jj=1; jj<= nlstate+ndeath; jj++){ + ps[ii][jj]=0; + ps[ii][ii]=1; + } + } + + +/* for(ii=1; ii<= nlstate+ndeath; ii++){ */ +/* for(jj=1; jj<= nlstate+ndeath; jj++){ */ +/* printf("ddd %lf ",ps[ii][jj]); */ +/* } */ +/* printf("\n "); */ +/* } */ +/* printf("\n ");printf("%lf ",cov[2]); */ + /* + for(i=1; i<= npar; i++) printf("%f ",x[i]); + goto end;*/ + return ps; +} + +/**************** Product of 2 matrices ******************/ + +double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b) +{ + /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times + b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */ + /* in, b, out are matrice of pointers which should have been initialized + before: only the contents of out is modified. The function returns + a pointer to pointers identical to out */ + long i, j, k; + for(i=nrl; i<= nrh; i++) + for(k=ncolol; k<=ncoloh; k++) + for(j=ncl,out[i][k]=0.; j<=nch; j++) + out[i][k] +=in[i][j]*b[j][k]; + + return out; +} + + +/************* Higher Matrix Product ***************/ + +double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij ) +{ + /* Computes the transition matrix starting at age 'age' over + 'nhstepm*hstepm*stepm' months (i.e. until + age (in years) age+nhstepm*hstepm*stepm/12) by multiplying + nhstepm*hstepm matrices. + Output is stored in matrix po[i][j][h] for h every 'hstepm' step + (typically every 2 years instead of every month which is too big + for the memory). + Model is determined by parameters x and covariates have to be + included manually here. + + */ + + int i, j, d, h, k; + double **out, cov[NCOVMAX+1]; + double **newm; + + /* Hstepm could be zero and should return the unit matrix */ + for (i=1;i<=nlstate+ndeath;i++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[i][j]=(i==j ? 1.0 : 0.0); + po[i][j][0]=(i==j ? 1.0 : 0.0); + } + /* Even if hstepm = 1, at least one multiplication by the unit matrix */ + for(h=1; h <=nhstepm; h++){ + for(d=1; d <=hstepm; d++){ + newm=savm; + /* Covariates have to be included here again */ + cov[1]=1.; + cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM; + for (k=1; k<=cptcovn;k++) + cov[2+k]=nbcode[Tvar[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++) + cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]]; + + + /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/ + /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/ + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, + pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } + for(i=1; i<=nlstate+ndeath; i++) + for(j=1;j<=nlstate+ndeath;j++) { + po[i][j][h]=newm[i][j]; + /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/ + } + /*printf("h=%d ",h);*/ + } /* end h */ +/* printf("\n H=%d \n",h); */ + return po; +} + + +/*************** log-likelihood *************/ +double func( double *x) +{ + int i, ii, j, k, mi, d, kk; + double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1]; + double **out; + double sw; /* Sum of weights */ + double lli; /* Individual log likelihood */ + int s1, s2; + double bbh, survp; + long ipmx; + /*extern weight */ + /* We are differentiating ll according to initial status */ + /* for (i=1;i<=npar;i++) printf("%f ", x[i]);*/ + /*for(i=1;i<imx;i++) + printf(" %d\n",s[4][i]); + */ + cov[1]=1.; + + for(k=1; k<=nlstate; k++) ll[k]=0.; + + if(mle==1){ + for (i=1,ipmx=0, sw=0.; i<=imx; i++){ + /* Computes the values of the ncovmodel covariates of the model + depending if the covariates are fixed or variying (age dependent) and stores them in cov[] + Then computes with function pmij which return a matrix p[i][j] giving the elementary probability + to be observed in j being in i according to the model. + */ + for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i]; + /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] + is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] + has been calculated etc */ + for(mi=1; mi<= wav[i]-1; mi++){ + for (ii=1;ii<=nlstate+ndeath;ii++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; /* Tage[kk] gives the data-covariate associated with age */ + } + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */ + /* But now since version 0.9 we anticipate for bias at large stepm. + * If stepm is larger than one month (smallest stepm) and if the exact delay + * (in months) between two waves is not a multiple of stepm, we rounded to + * the nearest (and in case of equal distance, to the lowest) interval but now + * we keep into memory the bias bh[mi][i] and also the previous matrix product + * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the + * probability in order to take into account the bias as a fraction of the way + * from savm to out if bh is negative or even beyond if bh is positive. bh varies + * -stepm/2 to stepm/2 . + * For stepm=1 the results are the same as for previous versions of Imach. + * For stepm > 1 the results are less biased than in previous versions. + */ + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + bbh=(double)bh[mi][i]/(double)stepm; + /* bias bh is positive if real duration + * is higher than the multiple of stepm and negative otherwise. + */ + /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/ + if( s2 > nlstate){ + /* i.e. if s2 is a death state and if the date of death is known + then the contribution to the likelihood is the probability to + die between last step unit time and current step unit time, + which is also equal to probability to die before dh + minus probability to die before dh-stepm . + In version up to 0.92 likelihood was computed + as if date of death was unknown. Death was treated as any other + health state: the date of the interview describes the actual state + and not the date of a change in health state. The former idea was + to consider that at each interview the state was recorded + (healthy, disable or death) and IMaCh was corrected; but when we + introduced the exact date of death then we should have modified + the contribution of an exact death to the likelihood. This new + contribution is smaller and very dependent of the step unit + stepm. It is no more the probability to die between last interview + and month of death but the probability to survive from last + interview up to one month before death multiplied by the + probability to die within a month. Thanks to Chris + Jackson for correcting this bug. Former versions increased + mortality artificially. The bad side is that we add another loop + which slows down the processing. The difference can be up to 10% + lower mortality. + */ + lli=log(out[s1][s2] - savm[s1][s2]); + + + } else if (s2==-2) { + for (j=1,survp=0. ; j<=nlstate; j++) + survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; + /*survp += out[s1][j]; */ + lli= log(survp); + } + + else if (s2==-4) { + for (j=3,survp=0. ; j<=nlstate; j++) + survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; + lli= log(survp); + } + + else if (s2==-5) { + for (j=1,survp=0. ; j<=2; j++) + survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; + lli= log(survp); + } + + else{ + lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */ + /* lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */ + } + /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/ + /*if(lli ==000.0)*/ + /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */ + ipmx +=1; + sw += weight[i]; + ll[s[mw[mi][i]][i]] += 2*weight[i]*lli; + } /* 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(mi=1; mi<= wav[i]-1; mi++){ + for (ii=1;ii<=nlstate+ndeath;ii++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<=dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + } + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + bbh=(double)bh[mi][i]/(double)stepm; + lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */ + ipmx +=1; + sw += weight[i]; + ll[s[mw[mi][i]][i]] += 2*weight[i]*lli; + } /* end of wave */ + } /* 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(mi=1; mi<= wav[i]-1; mi++){ + for (ii=1;ii<=nlstate+ndeath;ii++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + } + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + bbh=(double)bh[mi][i]/(double)stepm; + lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */ + ipmx +=1; + sw += weight[i]; + ll[s[mw[mi][i]][i]] += 2*weight[i]*lli; + } /* end of wave */ + } /* end of individual */ + }else if (mle==4){ /* ml=4 no 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(mi=1; mi<= wav[i]-1; mi++){ + for (ii=1;ii<=nlstate+ndeath;ii++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + } + + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + if( s2 > nlstate){ + lli=log(out[s1][s2] - savm[s1][s2]); + }else{ + lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */ + } + ipmx +=1; + sw += weight[i]; + 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]); */ + } /* end of wave */ + } /* 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(mi=1; mi<= wav[i]-1; mi++){ + for (ii=1;ii<=nlstate+ndeath;ii++) + for (j=1;j<=nlstate+ndeath;j++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + } + + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */ + ipmx +=1; + sw += weight[i]; + 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]);*/ + } /* end of wave */ + } /* end of individual */ + } /* End of if */ + for(k=1,l=0.; k<=nlstate; k++) l += ll[k]; + /* printf("l1=%f l2=%f ",ll[1],ll[2]); */ + l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */ + return -l; +} + +/*************** log-likelihood *************/ +double funcone( double *x) +{ + /* Same as likeli but slower because of a lot of printf and if */ + int i, ii, j, k, mi, d, kk; + double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1]; + double **out; + double lli; /* Individual log likelihood */ + double llt; + int s1, s2; + double bbh, survp; + /*extern weight */ + /* We are differentiating ll according to initial status */ + /* for (i=1;i<=npar;i++) printf("%f ", x[i]);*/ + /*for(i=1;i<imx;i++) + printf(" %d\n",s[4][i]); + */ + cov[1]=1.; + + for(k=1; k<=nlstate; k++) ll[k]=0.; + + for (i=1,ipmx=0, sw=0.; i<=imx; i++){ + for (k=1; k<=cptcovn;k++) cov[2+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++){ + oldm[ii][j]=(ii==j ? 1.0 : 0.0); + savm[ii][j]=(ii==j ? 1.0 : 0.0); + } + for(d=0; d<dh[mi][i]; d++){ + newm=savm; + cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM; + for (kk=1; kk<=cptcovage;kk++) { + cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2]; + } + out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, + 1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); + savm=oldm; + oldm=newm; + } /* end mult */ + + s1=s[mw[mi][i]][i]; + s2=s[mw[mi+1][i]][i]; + bbh=(double)bh[mi][i]/(double)stepm; + /* bias is positive if real duration + * is higher than the multiple of stepm and negative otherwise. + */ + if( s2 > nlstate && (mle <5) ){ /* Jackson */ + lli=log(out[s1][s2] - savm[s1][s2]); + } else if (s2==-2) { + for (j=1,survp=0. ; j<=nlstate; j++) + survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j]; + lli= log(survp); + }else if (mle==1){ + lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */ + } else if(mle==2){ + lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */ + } else if(mle==3){ /* exponential inter-extrapolation */ + lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */ + } else if (mle==4){ /* mle=4 no inter-extrapolation */ + lli=log(out[s1][s2]); /* Original formula */ + } else{ /* mle=0 back to 1 */ + lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */ + /*lli=log(out[s1][s2]); */ /* Original formula */ + } /* End of if */ + ipmx +=1; + sw += weight[i]; + 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,"%9d %6d %2d %2d %1d %1d %3d %11.6f %8.4f\ + %11.6f %11.6f %11.6f ", \ + num[i],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,llt=0.,l=0.; k<=nlstate; k++){ + llt +=ll[k]*gipmx/gsw; + fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw); + } + fprintf(ficresilk," %10.6f\n", -llt); + } + } /* end of wave */ + } /* end of individual */ + for(k=1,l=0.; k<=nlstate; k++) l += ll[k]; + /* printf("l1=%f l2=%f ",ll[1],ll[2]); */ + l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */ + if(globpr==0){ /* First time we count the contributions and weights */ + gipmx=ipmx; + gsw=sw; + } + return -l; +} + + +/*************** function likelione ***********/ +void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double [])) +{ + /* This routine should help understanding what is done with + the selection of individuals/waves and + to check the exact contribution to the likelihood. + Plotting could be done. + */ + int k; + + if(*globpri !=0){ /* Just counts and sums, no printings */ + strcpy(fileresilk,"ilk"); + strcat(fileresilk,fileres); + 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 "); + /* 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); + fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n"); + } + + *fretone=(*funcone)(p); + if(*globpri !=0){ + fclose(ficresilk); + fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk)); + fflush(fichtm); + } + return; +} + + +/*********** Maximum Likelihood Estimation ***************/ + +void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double [])) +{ + int i,j, iter; + double **xi; + double fret; + double fretone; /* Only one call to likelihood */ + /* char filerespow[FILENAMELENGTH];*/ + 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"); + strcat(filerespow,fileres); + if((ficrespow=fopen(filerespow,"w"))==NULL) { + printf("Problem with resultfile: %s\n", filerespow); + fprintf(ficlog,"Problem with resultfile: %s\n", filerespow); + } + fprintf(ficrespow,"# Powell\n# iter -2*LL"); + for (i=1;i<=nlstate;i++) + for(j=1;j<=nlstate+ndeath;j++) + if(j!=i)fprintf(ficrespow," p%1d%1d",i,j); + fprintf(ficrespow,"\n"); + + powell(p,xi,npar,ftol,&iter,&fret,func); + + 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)); + +} + +/**** Computes Hessian and covariance matrix ***/ +void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double [])) +{ + double **a,**y,*x,pd; + double **hess; + int i, j,jk; + 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); + 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); + + 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); + + hess[i][i]=hessii(p,ftolhess,i,delti,func,npar); + + /* printf(" %f ",p[i]); + printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/ + } + + 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); + + hess[j][i]=hess[i][j]; + /*printf(" %lf ",hess[i][j]);*/ + } + } + } + printf("\n"); + fprintf(ficlog,"\n"); + + printf("\nInverting the hessian to get the covariance matrix. Wait...\n"); + fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n"); + + a=matrix(1,npar,1,npar); + y=matrix(1,npar,1,npar); + x=vector(1,npar); + indx=ivector(1,npar); + for (i=1;i<=npar;i++) + for (j=1;j<=npar;j++) a[i][j]=hess[i][j]; + ludcmp(a,npar,indx,&pd); + + 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++){ + matcov[i][j]=x[i]; + } + } + + printf("\n#Hessian matrix#\n"); + 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("\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); + + /* 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"); + } + */ + + 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); + + +} + +/*************** hessian matrix ****************/ +double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar) +{ + int i; + int l=1, lmax=20; + double k1,k2; + 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; + + fx=func(x); + for (i=1;i<=npar;i++) p2[i]=x[i]; + for(l=0 ; l <=lmax; l++){ + l1=pow(10,l); + delts=delt; + for(k=1 ; k <kmax; k=k+1){ + delt = delta*(l1*k); + p2[theta]=x[theta] +delt; + k1=func(p2)-fx; + 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 */ + +#ifdef DEBUGHESS + 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 + /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */ + if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){ + 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.; + } + else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ + delts=delt; + } + } + } + delti[theta]=delts; + return res; + +} + +double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar) +{ + int i; + int l=1, l1, lmax=20; + double k1,k2,k3,k4,res,fx; + double p2[MAXPARM+1]; + int k; + + fx=func(x); + for (k=1; k<=2; k++) { + for (i=1;i<=npar;i++) p2[i]=x[i]; + 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; + k2=func(p2)-fx; + + 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; + 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); +#endif + } + return res; +} + +/************** Inverse of matrix **************/ +void ludcmp(double **a, int n, int *indx, double *d) +{ + int i,imax,j,k; + double big,dum,sum,temp; + double *vv; + + vv=vector(1,n); + *d=1.0; + for (i=1;i<=n;i++) { + big=0.0; + for (j=1;j<=n;j++) + if ((temp=fabs(a[i][j])) > big) big=temp; + if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); + vv[i]=1.0/big; + } + for (j=1;j<=n;j++) { + for (i=1;i<j;i++) { + sum=a[i][j]; + for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; + a[i][j]=sum; + } + big=0.0; + for (i=j;i<=n;i++) { + sum=a[i][j]; + for (k=1;k<j;k++) + sum -= a[i][k]*a[k][j]; + a[i][j]=sum; + if ( (dum=vv[i]*fabs(sum)) >= big) { + big=dum; + imax=i; + } + } + if (j != imax) { + for (k=1;k<=n;k++) { + dum=a[imax][k]; + a[imax][k]=a[j][k]; + a[j][k]=dum; + } + *d = -(*d); + vv[imax]=vv[j]; + } + indx[j]=imax; + if (a[j][j] == 0.0) a[j][j]=TINY; + if (j != n) { + dum=1.0/(a[j][j]); + for (i=j+1;i<=n;i++) a[i][j] *= dum; + } + } + free_vector(vv,1,n); /* Doesn't work */ +; +} + +void lubksb(double **a, int n, int *indx, double b[]) +{ + int i,ii=0,ip,j; + double sum; + + for (i=1;i<=n;i++) { + ip=indx[i]; + sum=b[ip]; + b[ip]=b[i]; + if (ii) + for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; + else if (sum) ii=i; + b[i]=sum; + } + for (i=n;i>=1;i--) { + sum=b[i]; + for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; + b[i]=sum/a[i][i]; + } +} + +void pstamp(FILE *fichier) +{ + fprintf(fichier,"# %s.%s\n#%s\n#%s\n# %s", optionfilefiname,optionfilext,version,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[]) +{ /* Some frequencies */ + + int i, m, jk, k1,i1, j1, bool, z1,j; + int first; + double ***freq; /* Frequencies */ + double *pp, **prop; + double pos,posprop, k2, dateintsum=0,k2cpt=0; + char fileresp[FILENAMELENGTH]; + + pp=vector(1,nlstate); + prop=matrix(1,nlstate,iagemin,iagemax+3); + strcpy(fileresp,"p"); + strcat(fileresp,fileres); + 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); + } + freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3); + j1=0; + + j=cptcoveff; + if (cptcovn<1) {j=1;ncodemax[1]=1;} + + first=1; + + for(k1=1; k1<=j;k1++){ + for(i1=1; i1<=ncodemax[k1];i1++){ + j1++; + /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]); + scanf("%d", i);*/ + for (i=-5; i<=nlstate+ndeath; i++) + for (jk=-5; jk<=nlstate+ndeath; jk++) + for(m=iagemin; m <= iagemax+3; m++) + freq[i][jk][m]=0; + + for (i=1; i<=nlstate; i++) + for(m=iagemin; m <= iagemax+3; m++) + prop[i][m]=0; + + dateintsum=0; + k2cpt=0; + for (i=1; i<=imx; i++) { + 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++){ + 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]; + if (m<lastpass) { + freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i]; + freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i]; + } + + if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) { + dateintsum=dateintsum+k2; + k2cpt++; + } + /*}*/ + } + } + } + + /* 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#"); + } + for(i=1; i<=nlstate;i++) + fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i); + fprintf(ficresp, "\n"); + + for(i=iagemin; i <= iagemax+3; i++){ + if(i==iagemax+3){ + fprintf(ficlog,"Total"); + }else{ + if(first==1){ + first=0; + printf("See log file for details...\n"); + } + fprintf(ficlog,"Age %d", i); + } + for(jk=1; jk <=nlstate ; jk++){ + for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++) + pp[jk] += freq[jk][m][i]; + } + for(jk=1; jk <=nlstate ; jk++){ + for(m=-1, pos=0; m <=0 ; m++) + pos += freq[jk][m][i]; + if(pp[jk]>=1.e-10){ + if(first==1){ + printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]); + } + fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]); + }else{ + if(first==1) + printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk); + fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk); + } + } + + for(jk=1; jk <=nlstate ; jk++){ + for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++) + pp[jk] += freq[jk][m][i]; + } + for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){ + pos += pp[jk]; + posprop += prop[jk][i]; + } + for(jk=1; jk <=nlstate ; jk++){ + if(pos>=1.e-5){ + if(first==1) + printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos); + fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos); + }else{ + if(first==1) + printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk); + fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk); + } + if( i <= iagemax){ + if(pos>=1.e-5){ + fprintf(ficresp," %d %.5f %.0f %.0f",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 + fprintf(ficresp," %d NaNq %.0f %.0f",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]); + fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]); + } + if(i <= iagemax) + fprintf(ficresp,"\n"); + if(first==1) + printf("Others in log...\n"); + fprintf(ficlog,"\n"); + } + } + } + dateintmean=dateintsum/k2cpt; + + fclose(ficresp); + 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); + /* End of Freq */ +} + +/************ Prevalence ********************/ +void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass) +{ + /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people + in each health status at the date of interview (if between dateprev1 and dateprev2). + 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; + double y2; /* in fractional years */ + int iagemin, iagemax; + + iagemin= (int) agemin; + iagemax= (int) agemax; + /*pp=vector(1,nlstate);*/ + prop=matrix(1,nlstate,iagemin,iagemax+3); + /* freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/ + j1=0; + + j=cptcoveff; + if (cptcovn<1) {j=1;ncodemax[1]=1;} + + for(k1=1; k1<=j;k1++){ + 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*/ + 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] <iagemin || (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(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]; + } + } + } /* 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 + printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\n",jk,i,j1,probs[i][jk][j1]); + } + }/* end jk */ + }/* end i */ + } /* end i1 */ + } /* end k1 */ + + /* free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/ + /*free_vector(pp,1,nlstate);*/ + free_matrix(prop,1,nlstate, iagemin,iagemax+3); +} /* End of prevalence */ + +/************* Waves Concatenation ***************/ + +void concatwav(int wav[], int **dh, int **bh, int **mw, int **s, double *agedc, double **agev, int firstpass, int lastpass, int imx, int nlstate, int stepm) +{ + /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i. + Death is a valid wave (if date is known). + mw[mi][i] is the mi (mi=1 to wav[i]) effective wave of individual i + dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i] + and mw[mi+1][i]. dh depends on stepm. + */ + + int i, mi, m; + /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1; + double sum=0., jmean=0.;*/ + int first; + int j, k=0,jk, ju, jl; + double sum=0.; + first=0; + jmin=1e+5; + jmax=-1; + jmean=0.; + for(i=1; i<=imx; i++){ + 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) + mw[++mi][i]=m; + if(m >=lastpass) + break; + else + m++; + }/* end while */ + if (s[m][i] > nlstate){ + mi++; /* Death is another wave */ + /* if(mi==0) never been interviewed correctly before death */ + /* Only death is a correct wave */ + mw[mi][i]=m; + } + + wav[i]=mi; + if(mi==0){ + nbwarn++; + if(first==0){ + printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i); + first=1; + } + if(first==1){ + fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i); + } + } /* end mi==0 */ + } /* End individuals */ + + for(i=1; i<=imx; i++){ + for(mi=1; mi<wav[i];mi++){ + if (stepm <=0) + dh[mi][i]=1; + else{ + if (s[mw[mi+1][i]][i] > nlstate) { /* A death */ + if (agedc[i] < 2*AGESUP) { + j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); + if(j==0) j=1; /* Survives at least one month after exam */ + else if(j<0){ + nberr++; + printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); + j=1; /* Temporary Dangerous patch */ + printf(" We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm); + fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); + fprintf(ficlog," We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm); + } + k=k+1; + if (j >= jmax){ + jmax=j; + ijmax=i; + } + if (j <= jmin){ + jmin=j; + ijmin=i; + } + sum=sum+j; + /*if (j<0) printf("j=%d num=%d \n",j,i);*/ + /* printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/ + } + } + else{ + j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12)); +/* if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */ + + k=k+1; + if (j >= jmax) { + jmax=j; + ijmax=i; + } + else if (j <= jmin){ + jmin=j; + ijmin=i; + } + /* if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */ + /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/ + if(j<0){ + nberr++; + printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); + fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); + } + sum=sum+j; + } + jk= j/stepm; + jl= j -jk*stepm; + ju= j -(jk+1)*stepm; + if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */ + if(jl==0){ + dh[mi][i]=jk; + bh[mi][i]=0; + }else{ /* We want a negative bias in order to only have interpolation ie + * to avoid the price of an extra matrix product in likelihood */ + dh[mi][i]=jk+1; + bh[mi][i]=ju; + } + }else{ + if(jl <= -ju){ + dh[mi][i]=jk; + bh[mi][i]=jl; /* bias is positive if real duration + * is higher than the multiple of stepm and negative otherwise. + */ + } + else{ + dh[mi][i]=jk+1; + bh[mi][i]=ju; + } + if(dh[mi][i]==0){ + dh[mi][i]=1; /* At least one step */ + bh[mi][i]=ju; /* At least one step */ + /* printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/ + } + } /* end if mle */ + } + } /* end wave */ + } + jmean=sum/k; + printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean); + fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean); + } + +/*********** Tricode ****************************/ +void tricode(int *Tvar, int **nbcode, int imx) +{ + /* Uses cptcovn+2*cptcovprod as the number of covariates */ + /* Tvar[i]=atoi(stre); /* find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 */ + + int Ndum[20],ij=1, k=0, j=0, i=0, maxncov=NCOVMAX; + int modmaxcovj=0; /* Modality max of covariates j */ + cptcoveff=0; + + for (k=0; k<maxncov; k++) Ndum[k]=0; + for (k=1; k<=7; k++) ncodemax[k]=0; /* Horrible constant again */ + + for (j=1; j<=(cptcovn+2*cptcovprod); j++) { /* For each covariate j */ + for (i=1; i<=imx; i++) { /*reads the data file to get the maximum value of the + modality of this covariate Vj*/ + ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Finds for covariate j, n=Tvar[j] of Vn . ij is the + modality of the nth covariate of individual i. */ + Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/ + /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/ + if (ij > modmaxcovj) modmaxcovj=ij; + /* getting the maximum value of the modality of the covariate + (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and + female is 1, then modmaxcovj=1.*/ + } + /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */ + for (i=0; i<=modmaxcovj; i++) { /* i=-1 ? 0 and 1*//* For each modality of model-cov j */ + if( Ndum[i] != 0 ) + ncodemax[j]++; + /* Number of modalities of the j th covariate. In fact + ncodemax[j]=2 (dichotom. variables only) but it could be more for + historical reasons */ + } /* Ndum[-1] number of undefined modalities */ + + /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */ + ij=1; + for (i=1; i<=ncodemax[j]; i++) { /* i= 1 to 2 for dichotomous */ + for (k=0; k<= modmaxcovj; k++) { /* k=-1 ? NCOVMAX*//* maxncov or modmaxcovj */ + if (Ndum[k] != 0) { /* If at least one individual responded to this modality k */ + nbcode[Tvar[j]][ij]=k; /* stores the modality in an array nbcode. + 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; */ + ij++; + } + if (ij > ncodemax[j]) break; + } /* end of loop on */ + } /* end of loop on modality */ + } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/ + + for (k=0; k< maxncov; k++) Ndum[k]=0; + + for (i=1; i<=ncovmodel-2; i++) { /* -2, cste and 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]++; + } + + ij=1; + for (i=1; i<= maxncov; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */ + if((Ndum[i]!=0) && (i<=ncovcol)){ + Tvaraff[ij]=i; /*For printing */ + ij++; + } + } + ij--; + cptcoveff=ij; /*Number of simple covariates*/ +} + +/*********** Health Expectancies ****************/ + +void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] ) + +{ + /* Health expectancies, no variances */ + int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2; + int nhstepma, nstepma; /* Decreasing with age */ + double age, agelim, hf; + double ***p3mat; + double eip; + + pstamp(ficreseij); + fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n"); + fprintf(ficreseij,"# Age"); + for(i=1; i<=nlstate;i++){ + for(j=1; j<=nlstate;j++){ + fprintf(ficreseij," e%1d%1d ",i,j); + } + fprintf(ficreseij," e%1d. ",i); + } + fprintf(ficreseij,"\n"); + + + if(estepm < stepm){ + printf ("Problem %d lower than %d\n",estepm, stepm); + } + else hstepm=estepm; + /* We compute the life expectancy from trapezoids spaced every estepm months + * This is mainly to measure the difference between two models: for example + * if stepm=24 months pijx are given only every 2 years and by summing them + * we are calculating an estimate of the Life Expectancy assuming a linear + * progression in between and thus overestimating or underestimating according + * to the curvature of the survival function. If, for the same date, we + * estimate the model with stepm=1 month, we can keep estepm to 24 months + * to compare the new estimate of Life expectancy with the same linear + * hypothesis. A more precise result, taking into account a more precise + * curvature will be obtained if estepm is as small as stepm. */ + + /* 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 hpijx to understand the reason of that which relies in memory size + and note for a fixed period like estepm months */ + /* 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 only each two years of age and if + you sum them up and add 1 year (area under the trapezoids) you won't get the same + results. So we changed our mind and took the option of the best precision. + */ + hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ + + agelim=AGESUP; + /* If stepm=6 months */ + /* Computed by stepm unit matrices, product of hstepm matrices, stored + in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */ + +/* nhstepm age range expressed in number of stepm */ + nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */ + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + + for (age=bage; age<=fage; age ++){ + nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */ + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */ + + /* If stepm=6 months */ + /* Computed by stepm unit matrices, product of hstepma matrices, stored + in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */ + + hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij); + + hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ + + printf("%d|",(int)age);fflush(stdout); + fprintf(ficlog,"%d|",(int)age);fflush(ficlog); + + /* Computing expectancies */ + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++) + for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){ + eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf; + + /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/ + + } + + fprintf(ficreseij,"%3.0f",age ); + for(i=1; i<=nlstate;i++){ + eip=0; + for(j=1; j<=nlstate;j++){ + eip +=eij[i][j][(int)age]; + fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] ); + } + fprintf(ficreseij,"%9.4f", eip ); + } + fprintf(ficreseij,"\n"); + + } + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + printf("\n"); + fprintf(ficlog,"\n"); + +} + +void cvevsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[] ) + +{ + /* Covariances of health expectancies eij and of total life expectancies according + to initial status i, ei. . + */ + int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji; + int nhstepma, nstepma; /* Decreasing with age */ + double age, agelim, hf; + double ***p3matp, ***p3matm, ***varhe; + double **dnewm,**doldm; + double *xp, *xm; + double **gp, **gm; + double ***gradg, ***trgradg; + int theta; + + double eip, vip; + + varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage); + xp=vector(1,npar); + xm=vector(1,npar); + dnewm=matrix(1,nlstate*nlstate,1,npar); + doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate); + + pstamp(ficresstdeij); + fprintf(ficresstdeij,"# Health expectancies with standard errors\n"); + fprintf(ficresstdeij,"# Age"); + for(i=1; i<=nlstate;i++){ + for(j=1; j<=nlstate;j++) + fprintf(ficresstdeij," e%1d%1d (SE)",i,j); + fprintf(ficresstdeij," e%1d. ",i); + } + fprintf(ficresstdeij,"\n"); + + pstamp(ficrescveij); + fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n"); + fprintf(ficrescveij,"# Age"); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++){ + cptj= (j-1)*nlstate+i; + for(i2=1; i2<=nlstate;i2++) + for(j2=1; j2<=nlstate;j2++){ + cptj2= (j2-1)*nlstate+i2; + if(cptj2 <= cptj) + fprintf(ficrescveij," %1d%1d,%1d%1d",i,j,i2,j2); + } + } + fprintf(ficrescveij,"\n"); + + if(estepm < stepm){ + printf ("Problem %d lower than %d\n",estepm, stepm); + } + else hstepm=estepm; + /* We compute the life expectancy from trapezoids spaced every estepm months + * This is mainly to measure the difference between two models: for example + * if stepm=24 months pijx are given only every 2 years and by summing them + * we are calculating an estimate of the Life Expectancy assuming a linear + * progression in between and thus overestimating or underestimating according + * to the curvature of the survival function. If, for the same date, we + * estimate the model with stepm=1 month, we can keep estepm to 24 months + * to compare the new estimate of Life expectancy with the same linear + * hypothesis. A more precise result, taking into account a more precise + * curvature will be obtained if estepm is as small as stepm. */ + + /* 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 hpijx to understand the reason of that which relies in memory size + and note for a fixed period like estepm months */ + /* 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 only each two years of age and if + you sum them up and add 1 year (area under the trapezoids) you won't get the same + results. So we changed our mind and took the option of the best precision. + */ + hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ + + /* If stepm=6 months */ + /* nhstepm age range expressed in number of stepm */ + agelim=AGESUP; + nstepm=(int) rint((agelim-bage)*YEARM/stepm); + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ + + p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate); + trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar); + gp=matrix(0,nhstepm,1,nlstate*nlstate); + gm=matrix(0,nhstepm,1,nlstate*nlstate); + + for (age=bage; age<=fage; age ++){ + nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */ + /* Typically if 20 years nstepm = 20*12/6=40 stepm */ + /* if (stepm >= YEARM) hstepm=1;*/ + nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */ + + /* If stepm=6 months */ + /* Computed by stepm unit matrices, product of hstepma matrices, stored + in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */ + + hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ + + /* Computing Variances of health expectancies */ + /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to + decrease memory allocation */ + for(theta=1; theta <=npar; theta++){ + for(i=1; i<=npar; i++){ + xp[i] = x[i] + (i==theta ?delti[theta]:0); + xm[i] = x[i] - (i==theta ?delti[theta]:0); + } + hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij); + hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij); + + for(j=1; j<= nlstate; j++){ + for(i=1; i<=nlstate; i++){ + for(h=0; h<=nhstepm-1; h++){ + gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.; + gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.; + } + } + } + + for(ij=1; ij<= nlstate*nlstate; ij++) + for(h=0; h<=nhstepm-1; h++){ + gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta]; + } + }/* End theta */ + + + for(h=0; h<=nhstepm-1; h++) + for(j=1; j<=nlstate*nlstate;j++) + for(theta=1; theta <=npar; theta++) + trgradg[h][j][theta]=gradg[h][theta][j]; + + + for(ij=1;ij<=nlstate*nlstate;ij++) + for(ji=1;ji<=nlstate*nlstate;ji++) + varhe[ij][ji][(int)age] =0.; + + printf("%d|",(int)age);fflush(stdout); + fprintf(ficlog,"%d|",(int)age);fflush(ficlog); + for(h=0;h<=nhstepm-1;h++){ + for(k=0;k<=nhstepm-1;k++){ + matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]); + for(ij=1;ij<=nlstate*nlstate;ij++) + for(ji=1;ji<=nlstate*nlstate;ji++) + varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf; + } + } + + /* Computing expectancies */ + hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++) + for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){ + eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf; + + /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/ + + } + + fprintf(ficresstdeij,"%3.0f",age ); + for(i=1; i<=nlstate;i++){ + eip=0.; + vip=0.; + for(j=1; j<=nlstate;j++){ + eip += eij[i][j][(int)age]; + for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */ + vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age]; + fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) ); + } + fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip)); + } + fprintf(ficresstdeij,"\n"); + + fprintf(ficrescveij,"%3.0f",age ); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++){ + cptj= (j-1)*nlstate+i; + for(i2=1; i2<=nlstate;i2++) + for(j2=1; j2<=nlstate;j2++){ + cptj2= (j2-1)*nlstate+i2; + if(cptj2 <= cptj) + fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]); + } + } + fprintf(ficrescveij,"\n"); + + } + free_matrix(gm,0,nhstepm,1,nlstate*nlstate); + free_matrix(gp,0,nhstepm,1,nlstate*nlstate); + free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate); + free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar); + free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + printf("\n"); + fprintf(ficlog,"\n"); + + free_vector(xm,1,npar); + free_vector(xp,1,npar); + free_matrix(dnewm,1,nlstate*nlstate,1,npar); + free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate); + free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage); +} + +/************ 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[]) +{ + /* Variance of health expectancies */ + /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/ + /* double **newm;*/ + double **dnewm,**doldm; + double **dnewmp,**doldmp; + int i, j, nhstepm, hstepm, h, nstepm ; + int k, cptcode; + double *xp; + double **gp, **gm; /* for var eij */ + double ***gradg, ***trgradg; /*for var eij */ + double **gradgp, **trgradgp; /* for var p point j */ + double *gpp, *gmp; /* for var p point j */ + double **varppt; /* for var p point j nlstate to nlstate+ndeath */ + double ***p3mat; + double age,agelim, hf; + double ***mobaverage; + int theta; + char digit[4]; + char digitp[25]; + + char fileresprobmorprev[FILENAMELENGTH]; + + if(popbased==1){ + if(mobilav!=0) + strcpy(digitp,"-populbased-mobilav-"); + else strcpy(digitp,"-populbased-nomobil-"); + } + else + strcpy(digitp,"-stablbased-"); + + if (mobilav!=0) { + mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ + fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); + printf(" Error in movingaverage mobilav=%d\n",mobilav); + } + } + + 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); + 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); + fprintf(ficresprobmorprev,"# Age cov=%-d",ij); + for(j=nlstate+1; j<=(nlstate+ndeath);j++){ + fprintf(ficresprobmorprev," p.%-d SE",j); + for(i=1; i<=nlstate;i++) + 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(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n"); + fprintf(fichtm,"\n<br>%s <br>\n",digitp); +/* } */ + varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + pstamp(ficresvij); + fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n# (weighted average of eij where weights are "); + if(popbased==1) + fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav); + else + fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n"); + fprintf(ficresvij,"# Age"); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++) + fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j); + fprintf(ficresvij,"\n"); + + xp=vector(1,npar); + dnewm=matrix(1,nlstate,1,npar); + doldm=matrix(1,nlstate,1,nlstate); + dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar); + doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + + gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath); + gpp=vector(nlstate+1,nlstate+ndeath); + gmp=vector(nlstate+1,nlstate+ndeath); + trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/ + + if(estepm < stepm){ + printf ("Problem %d lower than %d\n",estepm, stepm); + } + else hstepm=estepm; + /* 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 + 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 + results. So we changed our mind and took the option of the best precision. + */ + hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ + agelim = AGESUP; + for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ + nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ + nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */ + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + gradg=ma3x(0,nhstepm,1,npar,1,nlstate); + gp=matrix(0,nhstepm,1,nlstate); + gm=matrix(0,nhstepm,1,nlstate); + + + for(theta=1; theta <=npar; theta++){ + 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); + + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][ij]; + } + } + + 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 + computed over hstepm matrices product = hstepm*stepm months) + as a weighted average of prlim. + */ + for(j=nlstate+1;j<=nlstate+ndeath;j++){ + for(i=1,gpp[j]=0.; i<= nlstate; i++) + gpp[j] += prlim[i][i]*p3mat[i][j][1]; + } + /* end probability of death */ + + 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); + + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][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++) + gm[h][j] += prlim[i][i]*p3mat[i][j][h]; + } + } + /* This for computing probability of death (h=1 means + computed over hstepm matrices product = hstepm*stepm months) + as a weighted average of prlim. + */ + 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]; + } + /* end probability of death */ + + for(j=1; j<= nlstate; j++) /* vareij */ + for(h=0; h<=nhstepm; h++){ + gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta]; + } + + for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */ + gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta]; + } + + } /* End theta */ + + trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */ + + for(h=0; h<=nhstepm; h++) /* veij */ + for(j=1; j<=nlstate;j++) + for(theta=1; theta <=npar; theta++) + trgradg[h][j][theta]=gradg[h][theta][j]; + + for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */ + for(theta=1; theta <=npar; theta++) + trgradgp[j][theta]=gradgp[theta][j]; + + + hf=hstepm*stepm/YEARM; /* Duration of hstepm expressed in year unit. */ + for(i=1;i<=nlstate;i++) + for(j=1;j<=nlstate;j++) + vareij[i][j][(int)age] =0.; + + for(h=0;h<=nhstepm;h++){ + for(k=0;k<=nhstepm;k++){ + matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]); + for(i=1;i<=nlstate;i++) + for(j=1;j<=nlstate;j++) + vareij[i][j][(int)age] += doldm[i][j]*hf*hf; + } + } + + /* pptj */ + matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov); + matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp); + for(j=nlstate+1;j<=nlstate+ndeath;j++) + for(i=nlstate+1;i<=nlstate+ndeath;i++) + 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); + + if (popbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][ij]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][ij]; + } + } + + /* This for computing probability of death (h=1 means + computed over hstepm (estepm) matrices product = hstepm*stepm months) + as a weighted average of prlim. + */ + 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]; + } + /* end probability of death */ + + fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij); + for(j=nlstate+1; j<=(nlstate+ndeath);j++){ + fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j])); + for(i=1; i<=nlstate;i++){ + fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]); + } + } + fprintf(ficresprobmorprev,"\n"); + + fprintf(ficresvij,"%.0f ",age ); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate;j++){ + fprintf(ficresvij," %.4f", vareij[i][j][(int)age]); + } + fprintf(ficresvij,"\n"); + free_matrix(gp,0,nhstepm,1,nlstate); + free_matrix(gm,0,nhstepm,1,nlstate); + free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate); + free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar); + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + } /* End age */ + free_vector(gpp,nlstate+1,nlstate+ndeath); + 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;set size 0.65, 0.65"); + /* 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,"\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 1 ",subdirf(fileresprobmorprev)); + fprintf(ficgp,"\n replot \"%s\" u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev)); + fprintf(ficgp,"\n replot \"%s\" u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev)); + fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev)); + fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit); + /* fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit); +*/ +/* 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); + + free_vector(xp,1,npar); + free_matrix(doldm,1,nlstate,1,nlstate); + free_matrix(dnewm,1,nlstate,1,npar); + free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar); + free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath); + if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + fclose(ficresprobmorprev); + fflush(ficgp); + fflush(fichtm); +} /* 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[]) +{ + /* Variance of prevalence limit */ + /* 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 age,agelim; + int theta; + + pstamp(ficresvpl); + fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n"); + fprintf(ficresvpl,"# Age"); + for(i=1; i<=nlstate;i++) + fprintf(ficresvpl," %1d-%1d",i,i); + fprintf(ficresvpl,"\n"); + + xp=vector(1,npar); + dnewm=matrix(1,nlstate,1,npar); + doldm=matrix(1,nlstate,1,nlstate); + + hstepm=1*YEARM; /* Every year of age */ + hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ + agelim = AGESUP; + for (age=bage; age<=fage; age ++){ /* If stepm=6 months */ + nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ + if (stepm >= YEARM) hstepm=1; + nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ + gradg=matrix(1,npar,1,nlstate); + gp=vector(1,nlstate); + gm=vector(1,nlstate); + + for(theta=1; theta <=npar; theta++){ + 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++) + gp[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++) + gm[i] = prlim[i][i]; + + for(i=1;i<=nlstate;i++) + gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; + } /* End theta */ + + trgradg =matrix(1,nlstate,1,npar); + + for(j=1; j<=nlstate;j++) + for(theta=1; theta <=npar; theta++) + trgradg[j][theta]=gradg[theta][j]; + + for(i=1;i<=nlstate;i++) + varpl[i][(int)age] =0.; + 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 */ + + fprintf(ficresvpl,"%.0f ",age ); + for(i=1; i<=nlstate;i++) + fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age])); + fprintf(ficresvpl,"\n"); + free_vector(gp,1,nlstate); + free_vector(gm,1,nlstate); + free_matrix(gradg,1,npar,1,nlstate); + free_matrix(trgradg,1,nlstate,1,npar); + } /* End age */ + + free_vector(xp,1,npar); + free_matrix(doldm,1,nlstate,1,npar); + free_matrix(dnewm,1,nlstate,1,nlstate); + +} + +/************ 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 k2, l2, j1, z1; + int k=0,l, cptcode; + int first=1, first1; + double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp; + double **dnewm,**doldm; + double *xp; + double *gp, *gm; + double **gradg, **trgradg; + double **mu; + double age,agelim, cov[NCOVMAX]; + double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */ + int theta; + char fileresprob[FILENAMELENGTH]; + char fileresprobcov[FILENAMELENGTH]; + char fileresprobcor[FILENAMELENGTH]; + + double ***varpij; + + 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); + 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); + if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) { + printf("Problem with resultfile: %s\n", fileresprobcor); + fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor); + } + printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob); + fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob); + printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov); + fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov); + printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor); + fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor); + pstamp(ficresprob); + fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n"); + fprintf(ficresprob,"# Age"); + pstamp(ficresprobcov); + fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n"); + fprintf(ficresprobcov,"# Age"); + pstamp(ficresprobcor); + fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n"); + fprintf(ficresprobcor,"# Age"); + + + for(i=1; i<=nlstate;i++) + for(j=1; j<=(nlstate+ndeath);j++){ + fprintf(ficresprob," p%1d-%1d (SE)",i,j); + fprintf(ficresprobcov," p%1d-%1d ",i,j); + fprintf(ficresprobcor," p%1d-%1d ",i,j); + } + /* fprintf(ficresprob,"\n"); + fprintf(ficresprobcov,"\n"); + fprintf(ficresprobcor,"\n"); + */ + xp=vector(1,npar); + dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar); + doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath)); + mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage); + varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage); + first=1; + fprintf(ficgp,"\n# Routine varprob"); + fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n"); + fprintf(fichtm,"\n"); + + fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of pairs of step probabilities (drawings)</a></h4></li>\n",optionfilehtmcov); + fprintf(fichtmcov,"\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n\ + file %s<br>\n",optionfilehtmcov); + fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\ +and drawn. It helps understanding how is the covariance between two incidences.\ + They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n"); + fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \ +It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \ +would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \ +standard deviations wide on each axis. <br>\ + Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\ + and made the appropriate rotation to look at the uncorrelated principal directions.<br>\ +To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n"); + + cov[1]=1; + tj=cptcoveff; + if (cptcovn<1) {tj=1;ncodemax[1]=1;} + j1=0; + for(t=1; t<=tj;t++){ + for(i1=1; i1<=ncodemax[t];i1++){ + 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]]); + 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]]); + 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]]); + fprintf(ficgp, "**********\n#\n"); + + + fprintf(fichtmcov, "\n<hr size=\"2\" color=\"#EC5E5E\">********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">"); + + fprintf(ficresprobcor, "\n#********** Variable "); + for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]); + fprintf(ficresprobcor, "**********\n#"); + } + + for (age=bage; age<=fage; age ++){ + cov[2]=age; + for (k=1; k<=cptcovn;k++) { + cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]]; + } + for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[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]]]; + + gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath)); + trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar); + gp=vector(1,(nlstate)*(nlstate+ndeath)); + gm=vector(1,(nlstate)*(nlstate+ndeath)); + + for(theta=1; theta <=npar; theta++){ + for(i=1; i<=npar; i++) + xp[i] = x[i] + (i==theta ?delti[theta]:(double)0); + + pmij(pmmij,cov,ncovmodel,xp,nlstate); + + k=0; + for(i=1; i<= (nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + gp[k]=pmmij[i][j]; + } + } + + for(i=1; i<=npar; i++) + xp[i] = x[i] - (i==theta ?delti[theta]:(double)0); + + pmij(pmmij,cov,ncovmodel,xp,nlstate); + k=0; + for(i=1; i<=(nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + gm[k]=pmmij[i][j]; + } + } + + for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) + gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta]; + } + + for(j=1; j<=(nlstate)*(nlstate+ndeath);j++) + for(theta=1; theta <=npar; theta++) + trgradg[j][theta]=gradg[theta][j]; + + matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); + matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg); + free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath)); + free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath)); + free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); + free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar); + + pmij(pmmij,cov,ncovmodel,x,nlstate); + + k=0; + for(i=1; i<=(nlstate); i++){ + for(j=1; j<=(nlstate+ndeath);j++){ + k=k+1; + mu[k][(int) age]=pmmij[i][j]; + } + } + for(i=1;i<=(nlstate)*(nlstate+ndeath);i++) + for(j=1;j<=(nlstate)*(nlstate+ndeath);j++) + varpij[i][j][(int)age] = doldm[i][j]; + + /*printf("\n%d ",(int)age); + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ + printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); + fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i])); + }*/ + + fprintf(ficresprob,"\n%d ",(int)age); + fprintf(ficresprobcov,"\n%d ",(int)age); + fprintf(ficresprobcor,"\n%d ",(int)age); + + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++) + fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age])); + for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){ + fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]); + fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]); + } + i=0; + for (k=1; k<=(nlstate);k++){ + for (l=1; l<=(nlstate+ndeath);l++){ + i=i++; + fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l); + fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l); + for (j=1; j<=i;j++){ + fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]); + fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age])); + } + } + }/* end of loop for state */ + } /* end of loop for age */ + + /* Confidence intervalle of pij */ + /* + fprintf(ficgp,"\nunset parametric;unset label"); + fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\""); + fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65"); + fprintf(fichtm,"\n<br>Probability with confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname); + fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname); + fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname); + fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob); + */ + + /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/ + first1=1; + for (k2=1; k2<=(nlstate);k2++){ + for (l2=1; l2<=(nlstate+ndeath);l2++){ + if(l2==k2) continue; + j=(k2-1)*(nlstate+ndeath)+l2; + for (k1=1; k1<=(nlstate);k1++){ + for (l1=1; l1<=(nlstate+ndeath);l1++){ + if(l1==k1) continue; + i=(k1-1)*(nlstate+ndeath)+l1; + if(i<=j) continue; + for (age=bage; age<=fage; age ++){ + if ((int)age %5==0){ + v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM; + v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM; + cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM; + mu1=mu[i][(int) age]/stepm*YEARM ; + mu2=mu[j][(int) age]/stepm*YEARM; + c12=cv12/sqrt(v1*v2); + /* Computing eigen value of matrix of covariance */ + 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("Error: One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Continuing by making them positive: WRONG RESULTS.\n", lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor); + fprintf(ficlog,"Error: One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e\n", lc1, lc2, v1, v2, cv12);fflush(ficlog); + lc1=fabs(lc1); + lc2=fabs(lc2); + } + + /* Eigen vectors */ + v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12)); + /*v21=sqrt(1.-v11*v11); *//* error */ + v21=(lc1-v1)/cv12*v11; + v12=-v21; + v22=v11; + tnalp=v21/v11; + if(first1==1){ + first1=0; + printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp); + } + fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp); + /*printf(fignu*/ + /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */ + /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */ + if(first==1){ + first=0; + 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\nset size 0.65,0.65"); + fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\ + :<a href=\"%s%d%1d%1d-%1d%1d.png\">\ +%s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\ + subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\ + subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); + fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2); + fprintf(fichtmcov,"\n<br> 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 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",\ + mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\ + mu2,std,v21,sqrt(lc1),v22,sqrt(lc2)); + }else{ + first=0; + fprintf(fichtmcov," %d (%.3f),",(int) age, c12); + fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2); + fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2); + fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\ + mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\ + mu2,std,v21,sqrt(lc1),v22,sqrt(lc2)); + }/* 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); + first=1; + } /*l12 */ + } /* k12 */ + } /*l1 */ + }/* k1 */ + } /* 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); + free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath)); + free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar); + free_vector(xp,1,npar); + fclose(ficresprob); + fclose(ficresprobcov); + fclose(ficresprobcor); + fflush(ficgp); + fflush(fichtmcov); +} + + +/******************* Printing html file ***********/ +void printinghtml(char fileres[], 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 jj1, k1, i1, cpt; + + fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \ + <li><a href='#secondorder'>Result files (second order (variance)</a>\n \ +</ul>"); + fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \ + - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ", + jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p")); + fprintf(fichtm,"\ + - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ", + stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij")); + fprintf(fichtm,"\ + - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n", + subdirf2(fileres,"pl"),subdirf2(fileres,"pl")); + fprintf(fichtm,"\ + - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \ + <a href=\"%s\">%s</a> <br>\n", + estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e")); + fprintf(fichtm,"\ + - Population projections by age and states: \ + <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f")); + +fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>"); + + m=cptcoveff; + if (cptcovn < 1) {m=1;ncodemax[1]=1;} + + jj1=0; + for(k1=1; k1<=m;k1++){ + for(i1=1; i1<=ncodemax[k1];i1++){ + jj1++; + if (cptcovn > 0) { + fprintf(fichtm,"<hr size=\"2\" color=\"#EC5E5E\">************ Results for covariates"); + for (cpt=1; cpt<=cptcoveff;cpt++) + fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]); + fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">"); + } + /* Pij */ + fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d1.png\">%s%d1.png</a><br> \ +<img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); + /* Quasi-incidences */ + fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\ + before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d2.png\">%s%d2.png</a><br> \ +<img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); + /* Period (stable) prevalence in each health state */ + for(cpt=1; cpt<nlstate;cpt++){ + fprintf(fichtm,"<br>- Period (stable) prevalence in each health state : <a href=\"%s%d%d.png\">%s%d%d.png</a><br> \ +<img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1); + } + for(cpt=1; cpt<=nlstate;cpt++) { + fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies : <a href=\"%s%d%d.png\">%s%d%d.png</a> <br> \ +<img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1); + } + } /* end i1 */ + }/* End k1 */ + fprintf(fichtm,"</ul>"); + + + fprintf(fichtm,"\ +\n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\ + - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n", rfileres,rfileres); + + fprintf(fichtm," - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n", + subdirf2(fileres,"prob"),subdirf2(fileres,"prob")); + fprintf(fichtm,"\ + - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n", + subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov")); + + fprintf(fichtm,"\ + - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n", + subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor")); + fprintf(fichtm,"\ + - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \ + <a href=\"%s\">%s</a> <br>\n</li>", + estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve")); + fprintf(fichtm,"\ + - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \ + <a href=\"%s\">%s</a> <br>\n</li>", + estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde")); + fprintf(fichtm,"\ + - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n", + estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v")); + fprintf(fichtm,"\ + - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n", + estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t")); + fprintf(fichtm,"\ + - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\ + subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl")); + +/* if(popforecast==1) fprintf(fichtm,"\n */ +/* - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */ +/* - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */ +/* <br>",fileres,fileres,fileres,fileres); */ +/* else */ +/* fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */ + fflush(fichtm); + fprintf(fichtm," <ul><li><b>Graphs</b></li><p>"); + + m=cptcoveff; + if (cptcovn < 1) {m=1;ncodemax[1]=1;} + + jj1=0; + for(k1=1; k1<=m;k1++){ + for(i1=1; i1<=ncodemax[k1];i1++){ + jj1++; + if (cptcovn > 0) { + fprintf(fichtm,"<hr size=\"2\" color=\"#EC5E5E\">************ Results for covariates"); + for (cpt=1; cpt<=cptcoveff;cpt++) + fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]); + fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">"); + } + for(cpt=1; cpt<=nlstate;cpt++) { + fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \ +prevalence (with 95%% confidence interval) in state (%d): %s%d%d.png <br>\ +<img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1); + } + fprintf(fichtm,"\n<br>- Total life expectancy by age and \ +health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \ +true period expectancies (those weighted with period prevalences are also\ + drawn in addition to the population based expectancies computed using\ + observed and cahotic prevalences: %s%d.png<br>\ +<img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1); + } /* end i1 */ + }/* End k1 */ + fprintf(fichtm,"</ul>"); + fflush(fichtm); +} + +/******************* Gnuplot file **************/ +void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){ + + char dirfileres[132],optfileres[132]; + int m0,cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0; + int ng=0; +/* if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */ +/* printf("Problem with file %s",optionfilegnuplot); */ +/* fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */ +/* } */ + + /*#ifdef windows */ + fprintf(ficgp,"cd \"%s\" \n",pathc); + /*#endif */ + m=pow(2,cptcoveff); + + strcpy(dirfileres,optionfilefiname); + strcpy(optfileres,"vpl"); + /* 1eme*/ + for (cpt=1; cpt<= nlstate ; cpt ++) { + for (k1=1; k1<= m ; k1 ++) { + fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1); + fprintf(ficgp,"\n#set out \"v%s%d%d.png\" \n",optionfilefiname,cpt,k1); + fprintf(ficgp,"set xlabel \"Age\" \n\ +set ylabel \"Probability\" \n\ +set ter png small\n\ +set size 0.65,0.65\n\ +plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1); + + for (i=1; i<= nlstate ; i ++) { + if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); + for (i=1; i<= nlstate ; i ++) { + if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); + for (i=1; i<= nlstate ; i ++) { + if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1)); + } + } + /*2 eme*/ + + for (k1=1; k1<= m ; k1 ++) { + fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1); + fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage); + + for (i=1; i<= nlstate+1 ; i ++) { + k=2*i; + fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1); + for (j=1; j<= nlstate+1 ; j ++) { + if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,"); + else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1); + fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1); + for (j=1; j<= nlstate+1 ; j ++) { + if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + fprintf(ficgp,"\" t\"\" w l 0,"); + fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1); + for (j=1; j<= nlstate+1 ; j ++) { + if (j==i) fprintf(ficgp," \%%lf (\%%lf)"); + else fprintf(ficgp," \%%*lf (\%%*lf)"); + } + if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0"); + else fprintf(ficgp,"\" t\"\" w l 0,"); + } + } + + /*3eme*/ + + for (k1=1; k1<= m ; k1 ++) { + for (cpt=1; cpt<= nlstate ; cpt ++) { + /* k=2+nlstate*(2*cpt-2); */ + k=2+(nlstate+1)*(cpt-1); + fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1); + fprintf(ficgp,"set ter png small\n\ +set size 0.65,0.65\n\ +plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt); + /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1); + for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) "); + fprintf(ficgp,"\" t \"e%d1\" w l",cpt); + fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1); + for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) "); + fprintf(ficgp,"\" t \"e%d1\" w l",cpt); + + */ + for (i=1; i< nlstate ; i ++) { + fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1); + /* fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/ + + } + fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt); + } + } + + /* CV preval stable (period) */ + for (k1=1; k1<= m ; k1 ++) { + for (cpt=1; cpt<=nlstate ; cpt ++) { + k=3; + fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1); + fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\ +set ter png small\nset size 0.65,0.65\n\ +unset log y\n\ +plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1); + + for (i=1; i< nlstate ; i ++) + fprintf(ficgp,"+$%d",k+i+1); + fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1); + + l=3+(nlstate+ndeath)*cpt; + fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1); + for (i=1; i< nlstate ; i ++) { + l=3+(nlstate+ndeath)*cpt; + fprintf(ficgp,"+$%d",l+i+1); + } + fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1); + } + } + + /* proba elementaires */ + for(i=1,jk=1; i <=nlstate; i++){ + for(k=1; k <=(nlstate+ndeath); k++){ + if (k != i) { + for(j=1; j <=ncovmodel; j++){ + fprintf(ficgp,"p%d=%f ",jk,p[jk]); + jk++; + fprintf(ficgp,"\n"); + } + } + } + } + + for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/ + for(jk=1; jk <=m; jk++) { + fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); + if (ng==2) + fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n"); + else + fprintf(ficgp,"\nset title \"Probability\"\n"); + fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot [%.f:%.f] ",ageminpar,agemaxpar); + i=1; + for(k2=1; k2<=nlstate; k2++) { + k3=i; + for(k=1; k<=(nlstate+ndeath); k++) { + if (k != k2){ + if(ng==2) + fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1); + else + fprintf(ficgp," exp(p%d+p%d*x",i,i+1); + ij=1; + for(j=3; j <=ncovmodel; j++) { + if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { + fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); + ij++; + } + else + fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]); + } + fprintf(ficgp,")/(1"); + + for(k1=1; k1 <=nlstate; k1++){ + fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1); + ij=1; + for(j=3; j <=ncovmodel; j++){ + if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) { + fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]); + ij++; + } + else + fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]); + } + fprintf(ficgp,")"); + } + fprintf(ficgp,") t \"p%d%d\" ", k2,k); + if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,","); + i=i+ncovmodel; + } + } /* end k */ + } /* end k2 */ + } /* end jk */ + } /* end ng */ + fflush(ficgp); +} /* end gnuplot */ + + +/*************** Moving average **************/ +int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){ + + int i, cpt, cptcod; + int modcovmax =1; + int mobilavrange, mob; + double age; + + modcovmax=2*cptcoveff;/* Max number of modalities. We suppose + a covariate has 2 modalities */ + if (cptcovn<1) modcovmax=1; /* At least 1 pass */ + + if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){ + if(mobilav==1) mobilavrange=5; /* default */ + else mobilavrange=mobilav; + for (age=bage; age<=fage; age++) + for (i=1; i<=nlstate;i++) + for (cptcod=1;cptcod<=modcovmax;cptcod++) + mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod]; + /* We keep the original values on the extreme ages bage, fage and for + fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2 + we use a 5 terms etc. until the borders are no more concerned. + */ + for (mob=3;mob <=mobilavrange;mob=mob+2){ + for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){ + for (i=1; i<=nlstate;i++){ + for (cptcod=1;cptcod<=modcovmax;cptcod++){ + mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod]; + for (cpt=1;cpt<=(mob-1)/2;cpt++){ + mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod]; + mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod]; + } + mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob; + } + } + }/* end age */ + }/* end mob */ + }else return -1; + return 0; +}/* End movingaverage */ + + +/************** Forecasting ******************/ +prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){ + /* proj1, year, month, day of starting projection + agemin, agemax range of age + dateprev1 dateprev2 range of dates during which prevalence is computed + anproj2 year of en of projection (same day and month as proj1). + */ + int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1; + int *popage; + double agec; /* generic age */ + double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean; + double *popeffectif,*popcount; + double ***p3mat; + double ***mobaverage; + char fileresf[FILENAMELENGTH]; + + agelim=AGESUP; + prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); + + strcpy(fileresf,"f"); + strcat(fileresf,fileres); + if((ficresf=fopen(fileresf,"w"))==NULL) { + printf("Problem with forecast resultfile: %s\n", fileresf); + fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf); + } + printf("Computing forecasting: result on file '%s' \n", fileresf); + fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf); + + if (cptcoveff==0) ncodemax[cptcoveff]=1; + + if (mobilav!=0) { + mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ + fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); + printf(" Error in movingaverage mobilav=%d\n",mobilav); + } + } + + stepsize=(int) (stepm+YEARM-1)/YEARM; + if (stepm<=12) stepsize=1; + if(estepm < stepm){ + printf ("Problem %d lower than %d\n",estepm, stepm); + } + else hstepm=estepm; + + hstepm=hstepm/stepm; + yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp and + fractional in yp1 */ + anprojmean=yp; + yp2=modf((yp1*12),&yp); + mprojmean=yp; + yp1=modf((yp2*30.5),&yp); + jprojmean=yp; + if(jprojmean==0) jprojmean=1; + if(mprojmean==0) jprojmean=1; + + i1=cptcoveff; + if (cptcovn < 1){i1=1;} + + fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); + + fprintf(ficresf,"#****** Routine prevforecast **\n"); + +/* if (h==(int)(YEARM*yearp)){ */ + for(cptcov=1, k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ + k=k+1; + fprintf(ficresf,"\n#******"); + for(j=1;j<=cptcoveff;j++) { + fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + } + fprintf(ficresf,"******\n"); + fprintf(ficresf,"# Covariate valuofcovar yearproj age"); + for(j=1; j<=nlstate+ndeath;j++){ + for(i=1; i<=nlstate;i++) + fprintf(ficresf," p%d%d",i,j); + fprintf(ficresf," p.%d",j); + } + for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { + fprintf(ficresf,"\n"); + fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp); + + for (agec=fage; agec>=(ageminpar-1); agec--){ + nhstepm=(int) rint((agelim-agec)*YEARM/stepm); + nhstepm = nhstepm/hstepm; + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + oldm=oldms;savm=savms; + hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k); + + for (h=0; h<=nhstepm; h++){ + if (h*hstepm/YEARM*stepm ==yearp) { + fprintf(ficresf,"\n"); + for(j=1;j<=cptcoveff;j++) + fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm); + } + for(j=1; j<=nlstate+ndeath;j++) { + ppij=0.; + for(i=1; i<=nlstate;i++) { + if (mobilav==1) + ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod]; + else { + ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod]; + } + if (h*hstepm/YEARM*stepm== yearp) { + fprintf(ficresf," %.3f", p3mat[i][j][h]); + } + } /* end i */ + if (h*hstepm/YEARM*stepm==yearp) { + fprintf(ficresf," %.3f", ppij); + } + }/* end j */ + } /* end h */ + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + } /* end agec */ + } /* end yearp */ + } /* end cptcod */ + } /* end cptcov */ + + if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + + fclose(ficresf); +} + +/************** Forecasting *****not tested NB*************/ +populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){ + + int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h; + int *popage; + double calagedatem, agelim, kk1, kk2; + double *popeffectif,*popcount; + double ***p3mat,***tabpop,***tabpopprev; + double ***mobaverage; + char filerespop[FILENAMELENGTH]; + + tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + agelim=AGESUP; + calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM; + + prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); + + + strcpy(filerespop,"pop"); + strcat(filerespop,fileres); + if((ficrespop=fopen(filerespop,"w"))==NULL) { + printf("Problem with forecast resultfile: %s\n", filerespop); + fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop); + } + printf("Computing forecasting: result on file '%s' \n", filerespop); + fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop); + + if (cptcoveff==0) ncodemax[cptcoveff]=1; + + if (mobilav!=0) { + mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){ + fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); + printf(" Error in movingaverage mobilav=%d\n",mobilav); + } + } + + stepsize=(int) (stepm+YEARM-1)/YEARM; + if (stepm<=12) stepsize=1; + + agelim=AGESUP; + + hstepm=1; + hstepm=hstepm/stepm; + + if (popforecast==1) { + if((ficpop=fopen(popfile,"r"))==NULL) { + printf("Problem with population file : %s\n",popfile);exit(0); + fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0); + } + popage=ivector(0,AGESUP); + popeffectif=vector(0,AGESUP); + popcount=vector(0,AGESUP); + + i=1; + while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1; + + imx=i; + for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i]; + } + + for(cptcov=1,k=0;cptcov<=i2;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){ + k=k+1; + fprintf(ficrespop,"\n#******"); + for(j=1;j<=cptcoveff;j++) { + fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + } + fprintf(ficrespop,"******\n"); + fprintf(ficrespop,"# Age"); + for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j); + if (popforecast==1) fprintf(ficrespop," [Population]"); + + for (cpt=0; cpt<=0;cpt++) { + fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt); + + for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ + nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); + nhstepm = nhstepm/hstepm; + + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + oldm=oldms;savm=savms; + hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); + + for (h=0; h<=nhstepm; h++){ + if (h==(int) (calagedatem+YEARM*cpt)) { + fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); + } + for(j=1; j<=nlstate+ndeath;j++) { + kk1=0.;kk2=0; + for(i=1; i<=nlstate;i++) { + if (mobilav==1) + kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod]; + else { + kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod]; + } + } + if (h==(int)(calagedatem+12*cpt)){ + tabpop[(int)(agedeb)][j][cptcod]=kk1; + /*fprintf(ficrespop," %.3f", kk1); + if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/ + } + } + for(i=1; i<=nlstate;i++){ + kk1=0.; + for(j=1; j<=nlstate;j++){ + kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; + } + tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)]; + } + + if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) + fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]); + } + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + } + } + + /******/ + + for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { + fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt); + for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ + nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); + nhstepm = nhstepm/hstepm; + + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + oldm=oldms;savm=savms; + hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); + for (h=0; h<=nhstepm; h++){ + if (h==(int) (calagedatem+YEARM*cpt)) { + fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm); + } + for(j=1; j<=nlstate+ndeath;j++) { + kk1=0.;kk2=0; + for(i=1; i<=nlstate;i++) { + kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod]; + } + if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1); + } + } + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + } + } + } + } + + if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + + if (popforecast==1) { + free_ivector(popage,0,AGESUP); + free_vector(popeffectif,0,AGESUP); + free_vector(popcount,0,AGESUP); + } + free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + fclose(ficrespop); +} /* End of popforecast */ + +int fileappend(FILE *fichier, char *optionfich) +{ + if((fichier=fopen(optionfich,"a"))==NULL) { + printf("Problem with file: %s\n", optionfich); + fprintf(ficlog,"Problem with file: %s\n", optionfich); + return (0); + } + fflush(fichier); + return (1); +} + + +/**************** function prwizard **********************/ +void prwizard(int ncovmodel, int nlstate, int ndeath, char model[], FILE *ficparo) +{ + + /* Wizard to print covariance matrix template */ + + char ca[32], cb[32], cc[32]; + int i,j, k, l, li, lj, lk, ll, jj, npar, itimes; + int numlinepar; + + printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); + fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); + for(i=1; i <=nlstate; i++){ + jj=0; + for(j=1; j <=nlstate+ndeath; j++){ + if(j==i) continue; + jj++; + /*ca[0]= k+'a'-1;ca[1]='\0';*/ + printf("%1d%1d",i,j); + fprintf(ficparo,"%1d%1d",i,j); + for(k=1; k<=ncovmodel;k++){ + /* printf(" %lf",param[i][j][k]); */ + /* fprintf(ficparo," %lf",param[i][j][k]); */ + printf(" 0."); + fprintf(ficparo," 0."); + } + printf("\n"); + fprintf(ficparo,"\n"); + } + } + printf("# Scales (for hessian or gradient estimation)\n"); + fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n"); + npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ + for(i=1; i <=nlstate; i++){ + jj=0; + for(j=1; j <=nlstate+ndeath; j++){ + if(j==i) continue; + jj++; + fprintf(ficparo,"%1d%1d",i,j); + printf("%1d%1d",i,j); + fflush(stdout); + for(k=1; k<=ncovmodel;k++){ + /* printf(" %le",delti3[i][j][k]); */ + /* fprintf(ficparo," %le",delti3[i][j][k]); */ + printf(" 0."); + fprintf(ficparo," 0."); + } + numlinepar++; + printf("\n"); + fprintf(ficparo,"\n"); + } + } + printf("# Covariance matrix\n"); +/* # 121 Var(a12)\n\ */ +/* # 122 Cov(b12,a12) Var(b12)\n\ */ +/* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */ +/* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */ +/* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */ +/* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */ +/* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */ +/* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */ + fflush(stdout); + fprintf(ficparo,"# Covariance matrix\n"); + /* # 121 Var(a12)\n\ */ + /* # 122 Cov(b12,a12) Var(b12)\n\ */ + /* # ...\n\ */ + /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */ + + for(itimes=1;itimes<=2;itimes++){ + jj=0; + for(i=1; i <=nlstate; i++){ + for(j=1; j <=nlstate+ndeath; j++){ + if(j==i) continue; + for(k=1; k<=ncovmodel;k++){ + jj++; + ca[0]= k+'a'-1;ca[1]='\0'; + if(itimes==1){ + printf("#%1d%1d%d",i,j,k); + fprintf(ficparo,"#%1d%1d%d",i,j,k); + }else{ + printf("%1d%1d%d",i,j,k); + fprintf(ficparo,"%1d%1d%d",i,j,k); + /* printf(" %.5le",matcov[i][j]); */ + } + ll=0; + for(li=1;li <=nlstate; li++){ + for(lj=1;lj <=nlstate+ndeath; lj++){ + if(lj==li) continue; + for(lk=1;lk<=ncovmodel;lk++){ + ll++; + if(ll<=jj){ + cb[0]= lk +'a'-1;cb[1]='\0'; + if(ll<jj){ + if(itimes==1){ + printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj); + fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj); + }else{ + printf(" 0."); + fprintf(ficparo," 0."); + } + }else{ + if(itimes==1){ + printf(" Var(%s%1d%1d)",ca,i,j); + fprintf(ficparo," Var(%s%1d%1d)",ca,i,j); + }else{ + printf(" 0."); + fprintf(ficparo," 0."); + } + } + } + } /* end lk */ + } /* end lj */ + } /* end li */ + printf("\n"); + fprintf(ficparo,"\n"); + numlinepar++; + } /* end k*/ + } /*end j */ + } /* end i */ + } /* end itimes */ + +} /* end of prwizard */ +/******************* Gompertz Likelihood ******************************/ +double gompertz(double x[]) +{ + double A,B,L=0.0,sump=0.,num=0.; + int i,n=0; /* n is the size of the sample */ + + for (i=0;i<=imx-1 ; i++) { + sump=sump+weight[i]; + /* sump=sump+1;*/ + num=num+1; + } + + + /* for (i=0; i<=imx; i++) + if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/ + + for (i=1;i<=imx ; i++) + { + if (cens[i] == 1 && wav[i]>1) + A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp))); + + if (cens[i] == 0 && wav[i]>1) + A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp))) + +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM); + + /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */ + if (wav[i] > 1 ) { /* ??? */ + L=L+A*weight[i]; + /* printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/ + } + } + + /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/ + + return -2*L*num/sump; +} + +#ifdef GSL +/******************* Gompertz_f Likelihood ******************************/ +double gompertz_f(const gsl_vector *v, void *params) +{ + double A,B,LL=0.0,sump=0.,num=0.; + double *x= (double *) v->data; + int i,n=0; /* n is the size of the sample */ + + for (i=0;i<=imx-1 ; i++) { + sump=sump+weight[i]; + /* sump=sump+1;*/ + num=num+1; + } + + + /* for (i=0; i<=imx; i++) + if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/ + printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]); + for (i=1;i<=imx ; i++) + { + if (cens[i] == 1 && wav[i]>1) + A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp))); + + if (cens[i] == 0 && wav[i]>1) + A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp))) + +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM); + + /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */ + if (wav[i] > 1 ) { /* ??? */ + LL=LL+A*weight[i]; + /* printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/ + } + } + + /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/ + printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump); + + return -2*LL*num/sump; +} +#endif + +/******************* Printing html file ***********/ +void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \ + int lastpass, int stepm, int weightopt, char model[],\ + int imx, double p[],double **matcov,double agemortsup){ + int i,k; + + fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>"); + fprintf(fichtm," mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp); + for (i=1;i<=2;i++) + fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i])); + fprintf(fichtm,"<br><br><img src=\"graphmort.png\">"); + fprintf(fichtm,"</ul>"); + +fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>"); + + fprintf(fichtm,"\nAge l<inf>x</inf> q<inf>x</inf> d(x,x+1) L<inf>x</inf> T<inf>x</inf> e<infx</inf><br>"); + + for (k=agegomp;k<(agemortsup-2);k++) + fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf<br>\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]); + + + fflush(fichtm); +} + +/******************* Gnuplot file **************/ +void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){ + + char dirfileres[132],optfileres[132]; + int m,cpt,k1,i,k,j,jk,k2,k3,ij,l; + int ng; + + + /*#ifdef windows */ + fprintf(ficgp,"cd \"%s\" \n",pathc); + /*#endif */ + + + strcpy(dirfileres,optionfilefiname); + strcpy(optfileres,"vpl"); + fprintf(ficgp,"set out \"graphmort.png\"\n "); + fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); + fprintf(ficgp, "set ter png small\n set log y\n"); + fprintf(ficgp, "set size 0.65,0.65\n"); + fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp); + +} + +int readdata(char datafile[], int firstobs, int lastobs, int *imax) +{ + + /*-------- data file ----------*/ + FILE *fic; + char dummy[]=" "; + int i, j, n; + int linei, month, year,iout; + char line[MAXLINE], linetmp[MAXLINE]; + char stra[80], strb[80]; + char *stratrunc; + int lstra; + + + if((fic=fopen(datafile,"r"))==NULL) { + printf("Problem while opening datafile: %s\n", datafile);return 1; + fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);return 1; + } + + i=1; + linei=0; + while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) { + linei=linei+1; + for(j=strlen(line); j>=0;j--){ /* Untabifies line */ + if(line[j] == '\t') + line[j] = ' '; + } + for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){ + ; + }; + line[j+1]=0; /* Trims blanks at end of line */ + if(line[0]=='#'){ + fprintf(ficlog,"Comment line\n%s\n",line); + printf("Comment line\n%s\n",line); + continue; + } + trimbb(linetmp,line); /* Trims multiple blanks in line */ + for (j=0; line[j]!='\0';j++){ + line[j]=linetmp[j]; + } + + + for (j=maxwav;j>=1;j--){ + cutv(stra, strb, line, ' '); + if(strb[0]=='.') { /* Missing status */ + lval=-1; + }else{ + errno=0; + lval=strtol(strb,&endptr,10); + /* if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/ + if( strb[0]=='\0' || (*endptr != '\0')){ + printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong. Exiting.\n", strb, linei,i,line,j,maxwav); + fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong. Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog); + return 1; + } + } + s[j][i]=lval; + + strcpy(line,stra); + cutv(stra, strb,line,' '); + if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){ + } + else if(iout=sscanf(strb,"%s.") != 0){ + month=99; + year=9999; + }else{ + printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d. Exiting.\n",strb, linei,i, line,j); + fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d. Exiting.\n",strb, linei,i, line,j);fflush(ficlog); + return 1; + } + anint[j][i]= (double) year; + mint[j][i]= (double)month; + strcpy(line,stra); + } /* ENd Waves */ + + cutv(stra, strb,line,' '); + if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){ + } + else if(iout=sscanf(strb,"%s.",dummy) != 0){ + month=99; + year=9999; + }else{ + printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of death (mm/yyyy or .). Exiting.\n",strb, linei,i,line); + fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of death (mm/yyyy or .). Exiting.\n",strb, linei,i,line);fflush(ficlog); + return 1; + } + andc[i]=(double) year; + moisdc[i]=(double) month; + strcpy(line,stra); + + cutv(stra, strb,line,' '); + if(iout=sscanf(strb,"%d/%d",&month, &year) != 0){ + } + else if(iout=sscanf(strb,"%s.") != 0){ + month=99; + year=9999; + }else{ + printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .). Exiting.\n",strb, linei,i,line); + fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .). Exiting.\n",strb, linei,i,line);fflush(ficlog); + return 1; + } + if (year==9999) { + printf("Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line); + fprintf(ficlog,"Error reading data around '%s' at line number %ld for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog); + return 1; + + } + annais[i]=(double)(year); + moisnais[i]=(double)(month); + strcpy(line,stra); + + cutv(stra, strb,line,' '); + errno=0; + dval=strtod(strb,&endptr); + if( strb[0]=='\0' || (*endptr != '\0')){ + printf("Error reading data around '%f' at line number %ld, \"%s\" for individual %d\nShould be a weight. Exiting.\n",dval, i,line,linei); + fprintf(ficlog,"Error reading data around '%f' at line number %ld, \"%s\" for individual %d\nShould be a weight. Exiting.\n",dval, i,line,linei); + fflush(ficlog); + return 1; + } + weight[i]=dval; + strcpy(line,stra); + + for (j=ncovcol;j>=1;j--){ + cutv(stra, strb,line,' '); + if(strb[0]=='.') { /* Missing status */ + lval=-1; + }else{ + errno=0; + lval=strtol(strb,&endptr,10); + if( strb[0]=='\0' || (*endptr != '\0')){ + printf("Error reading data around '%d' at line number %ld for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative). Exiting.\n",lval, linei,i, line); + fprintf(ficlog,"Error reading data around '%d' at line number %ld for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative). Exiting.\n",lval, linei,i, line);fflush(ficlog); + return 1; + } + } + if(lval <-1 || lval >1){ + printf("Error reading data around '%d' at line number %ld for individual %d, '%s'\n \ + Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \ + for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \ + For example, for multinomial values like 1, 2 and 3,\n \ + build V1=0 V2=0 for the reference value (1),\n \ + V1=1 V2=0 for (2) \n \ + and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \ + output of IMaCh is often meaningless.\n \ + Exiting.\n",lval,linei, i,line,j); + fprintf(ficlog,"Error reading data around '%d' at line number %ld for individual %d, '%s'\n \ + Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \ + for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \ + For example, for multinomial values like 1, 2 and 3,\n \ + build V1=0 V2=0 for the reference value (1),\n \ + V1=1 V2=0 for (2) \n \ + and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \ + output of IMaCh is often meaningless.\n \ + Exiting.\n",lval,linei, i,line,j);fflush(ficlog); + return 1; + } + covar[j][i]=(double)(lval); + strcpy(line,stra); + } + lstra=strlen(stra); + + if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */ + stratrunc = &(stra[lstra-9]); + num[i]=atol(stratrunc); + } + else + num[i]=atol(stra); + /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){ + printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]), (mint[2][i]), (anint[2][i]), (s[2][i]), (mint[3][i]), (anint[3][i]), (s[3][i]), (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/ + + i=i+1; + } /* End loop reading data */ + + *imax=i-1; /* Number of individuals */ + fclose(fic); + + return (0); + endread: + printf("Exiting readdata: "); + fclose(fic); + return (1); + + + +} + +int decodemodel ( char model[], int lastobs) +{ + int i, j, k; + int i1, j1, k1, k2; + char modelsav[80]; + char stra[80], strb[80], strc[80], strd[80],stre[80]; + + if (strlen(model) >1){ /* If there is at least 1 covariate */ + j=0, j1=0, k1=1, k2=1; + j=nbocc(model,'+'); /* j=Number of '+' */ + j1=nbocc(model,'*'); /* j1=Number of '*' */ + cptcovn=j+1; /* Number of covariates V1+V2*age+V3 =>(2 plus signs) + 1=3 + but the covariates which are product must be computed and stored. */ + cptcovprod=j1; /*Number of products V1*V2 +v3*age = 2 */ + + strcpy(modelsav,model); + if (strstr(model,"AGE") !=0){ + printf("Error. AGE must be in lower case 'age' model=%s ",model); + fprintf(ficlog,"Error. AGE must be in lower case model=%s ",model);fflush(ficlog); + return 1; + } + + /* This loop fills the array Tvar from the string 'model'.*/ + /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */ + /* modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 */ + /* k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */ + /* k=3 V4 Tvar[k=3]= 4 (from V4) */ + /* k=2 V1 Tvar[k=2]= 1 (from V1) */ + /* k=1 Tvar[1]=2 (from V2) */ + /* k=5 Tvar[5] */ + /* for (k=1; k<=cptcovn;k++) { */ + /* cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]]; */ + /* } */ + /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */ + for(k=cptcovn; k>=1;k--){ + cutv(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' + modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 + */ + if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */ + /* printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/ + /*scanf("%d",i);*/ + if (strchr(strb,'*')) { /* Model includes a product V2+V1+V4+V3*age strb=V3*age */ + cutv(strd,strc,strb,'*'); /* strd*strc Vm*Vn: strb=V3*age strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */ + if (strcmp(strc,"age")==0) { /* Vn*age */ + cptcovprod--; + cutv(strb,stre,strd,'V'); /* stre="V3" */ + Tvar[k]=atoi(stre); /* V2+V1+V4+V3*age Tvar[4]=2 ; V1+V2*age Tvar[2]=2 */ + cptcovage++; /* Sums the number of covariates which include age as a product */ + Tage[cptcovage]=k; /* Tage[1] = 4 */ + /*printf("stre=%s ", stre);*/ + } else if (strcmp(strd,"age")==0) { /* or age*Vn */ + cptcovprod--; + cutv(strb,stre,strc,'V'); + Tvar[k]=atoi(stre); + cptcovage++; + Tage[cptcovage]=k; + } else { /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2 strb=V3*V2*/ + /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */ + cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/ + Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but + because this model-covariate is a construction we invent a new column + ncovcol + k1 + If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2 + Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */ + cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */ + Tprod[k1]=k; /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2 */ + Tvard[k1][1]=atoi(strc); /* m 1 for V1*/ + Tvard[k1][2]=atoi(stre); /* n 4 for V4*/ + Tvar[cptcovn+k2]=Tvard[k1][1]; /* Tvar[(cptcovn=4+k2=1)=5]= 1 (V1) */ + Tvar[cptcovn+k2+1]=Tvard[k1][2]; /* Tvar[(cptcovn=4+(k2=1)+1)=6]= 4 (V4) */ + for (i=1; i<=lastobs;i++){ + /* Computes the new covariate which is a product of + covar[n][i]* covar[m][i] and stores it at ncovol+k1 */ + covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i]; + } + k1++; + k2=k2+2; + } /* End age is not in the model */ + } /* End if model includes a product */ + else { /* no more sum */ + /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/ + /* scanf("%d",i);*/ + cutv(strd,strc,strb,'V'); + Tvar[k]=atoi(strc); + } + strcpy(modelsav,stra); /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ + /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav); + scanf("%d",i);*/ + } /* end of loop + */ + } /* end model */ + + /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products. + If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/ + + /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]); + printf("cptcovprod=%d ", cptcovprod); + fprintf(ficlog,"cptcovprod=%d ", cptcovprod); + + scanf("%d ",i);*/ + + + return (0); /* with covar[new additional covariate if product] and Tage if age */ + endread: + printf("Exiting decodemodel: "); + return (1); +} + +calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn ) +{ + int i, m; + + for (i=1; i<=imx; i++) { + for(m=2; (m<= maxwav); m++) { + if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){ + anint[m][i]=9999; + s[m][i]=-1; + } + if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){ + *nberr++; + printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i); + fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i); + s[m][i]=-1; + } + if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){ + *nberr++; + printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); + fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); + s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */ + } + } + } + + for (i=1; i<=imx; i++) { + agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]); + for(m=firstpass; (m<= lastpass); m++){ + if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){ + if (s[m][i] >= nlstate+1) { + if(agedc[i]>0) + if((int)moisdc[i]!=99 && (int)andc[i]!=9999) + agev[m][i]=agedc[i]; + /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/ + else { + if ((int)andc[i]!=9999){ + nbwarn++; + printf("Warning negative age at death: %ld line:%d\n",num[i],i); + fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i); + agev[m][i]=-1; + } + } + } + else if(s[m][i] !=9){ /* Standard case, age in fractional + years but with the precision of a month */ + agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]); + if((int)mint[m][i]==99 || (int)anint[m][i]==9999) + agev[m][i]=1; + else if(agev[m][i] < *agemin){ + *agemin=agev[m][i]; + printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin); + } + else if(agev[m][i] >*agemax){ + *agemax=agev[m][i]; + /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/ + } + /*agev[m][i]=anint[m][i]-annais[i];*/ + /* agev[m][i] = age[i]+2*m;*/ + } + else { /* =9 */ + agev[m][i]=1; + s[m][i]=-1; + } + } + else /*= 0 Unknown */ + agev[m][i]=1; + } + + } + for (i=1; i<=imx; i++) { + for(m=firstpass; (m<=lastpass); m++){ + if (s[m][i] > (nlstate+ndeath)) { + *nberr++; + printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath); + fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath); + return 1; + } + } + } + + /*for (i=1; i<=imx; i++){ + for (m=firstpass; (m<lastpass); m++){ + printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]); +} + +}*/ + + + printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); + fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); + + return (0); + endread: + printf("Exiting calandcheckages: "); + return (1); +} + + +/***********************************************/ +/**************** Main Program *****************/ +/***********************************************/ + +int main(int argc, char *argv[]) +{ +#ifdef GSL + const gsl_multimin_fminimizer_type *T; + size_t iteri = 0, it; + int rval = GSL_CONTINUE; + int status = GSL_SUCCESS; + double ssval; +#endif + int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav); + int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod; + int linei, month, year,iout; + int jj, ll, li, lj, lk, imk; + int numlinepar=0; /* Current linenumber of parameter file */ + int itimes; + int NDIM=2; + int vpopbased=0; + + char ca[32], cb[32], cc[32]; + /* FILE *fichtm; *//* Html File */ + /* FILE *ficgp;*/ /*Gnuplot File */ + struct stat info; + double agedeb, agefin,hf; + double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20; + + double fret; + double **xi,tmp,delta; + + double dum; /* Dummy variable */ + double ***p3mat; + double ***mobaverage; + int *indx; + char line[MAXLINE], linepar[MAXLINE]; + char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE]; + char pathr[MAXLINE], pathimach[MAXLINE]; + char **bp, *tok, *val; /* pathtot */ + int firstobs=1, lastobs=10; + int sdeb, sfin; /* Status at beginning and end */ + int c, h , cpt,l; + int ju,jl, mi; + int i1,j1, jk,aa,bb, stepsize, ij; + int jnais,jdc,jint4,jint1,jint2,jint3,*tab; + int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */ + int mobilav=0,popforecast=0; + int hstepm, nhstepm; + int agemortsup; + float sumlpop=0.; + double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000; + double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000; + + double bage, fage, age, agelim, agebase; + double ftolpl=FTOL; + double **prlim; + double ***param; /* Matrix of parameters */ + double *p; + double **matcov; /* Matrix of covariance */ + double ***delti3; /* Scale */ + double *delti; /* Scale */ + double ***eij, ***vareij; + double **varpl; /* Variances of prevalence limits by age */ + double *epj, vepp; + double kk1, kk2; + double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000; + double **ximort; + char *alph[]={"a","a","b","c","d","e"}, str[4]; + int *dcwave; + + char z[1]="c", occ; + + /*char *strt;*/ + char strtend[80]; + + long total_usecs; + +/* setlocale (LC_ALL, ""); */ +/* bindtextdomain (PACKAGE, LOCALEDIR); */ +/* textdomain (PACKAGE); */ +/* setlocale (LC_CTYPE, ""); */ +/* setlocale (LC_MESSAGES, ""); */ + + /* gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */ + (void) gettimeofday(&start_time,&tzp); + curr_time=start_time; + tm = *localtime(&start_time.tv_sec); + tmg = *gmtime(&start_time.tv_sec); + strcpy(strstart,asctime(&tm)); + +/* printf("Localtime (at start)=%s",strstart); */ +/* tp.tv_sec = tp.tv_sec +86400; */ +/* tm = *localtime(&start_time.tv_sec); */ +/* tmg.tm_year=tmg.tm_year +dsign*dyear; */ +/* tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */ +/* tmg.tm_hour=tmg.tm_hour + 1; */ +/* tp.tv_sec = mktime(&tmg); */ +/* strt=asctime(&tmg); */ +/* printf("Time(after) =%s",strstart); */ +/* (void) time (&time_value); +* printf("time=%d,t-=%d\n",time_value,time_value-86400); +* tm = *localtime(&time_value); +* strstart=asctime(&tm); +* printf("tim_value=%d,asctime=%s\n",time_value,strstart); +*/ + + nberr=0; /* Number of errors and warnings */ + nbwarn=0; + getcwd(pathcd, size); + + printf("\n%s\n%s",version,fullversion); + if(argc <=1){ + printf("\nEnter the parameter file name: "); + fgets(pathr,FILENAMELENGTH,stdin); + i=strlen(pathr); + if(pathr[i-1]=='\n') + pathr[i-1]='\0'; + for (tok = pathr; tok != NULL; ){ + printf("Pathr |%s|\n",pathr); + while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0'); + printf("val= |%s| pathr=%s\n",val,pathr); + strcpy (pathtot, val); + if(pathr[0] == '\0') break; /* Dirty */ + } + } + else{ + strcpy(pathtot,argv[1]); + } + /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/ + /*cygwin_split_path(pathtot,path,optionfile); + printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/ + /* cutv(path,optionfile,pathtot,'\\');*/ + + /* Split argv[0], imach program to get pathimach */ + printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]); + split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname); + printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname); + /* strcpy(pathimach,argv[0]); */ + /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */ + split(pathtot,path,optionfile,optionfilext,optionfilefiname); + printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname); + chdir(path); /* Can be a relative path */ + if(getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */ + printf("Current directory %s!\n",pathcd); + strcpy(command,"mkdir "); + strcat(command,optionfilefiname); + if((outcmd=system(command)) != 0){ + printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd); + /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */ + /* fclose(ficlog); */ +/* exit(1); */ + } +/* if((imk=mkdir(optionfilefiname))<0){ */ +/* perror("mkdir"); */ +/* } */ + + /*-------- arguments in the command line --------*/ + + /* Log file */ + strcat(filelog, optionfilefiname); + strcat(filelog,".log"); /* */ + if((ficlog=fopen(filelog,"w"))==NULL) { + printf("Problem with logfile %s\n",filelog); + goto end; + } + fprintf(ficlog,"Log filename:%s\n",filelog); + fprintf(ficlog,"\n%s\n%s",version,fullversion); + fprintf(ficlog,"\nEnter the parameter file name: \n"); + fprintf(ficlog,"pathimach=%s\npathtot=%s\n\ + path=%s \n\ + optionfile=%s\n\ + optionfilext=%s\n\ + optionfilefiname=%s\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname); + + printf("Local time (at start):%s",strstart); + fprintf(ficlog,"Local time (at start): %s",strstart); + fflush(ficlog); +/* (void) gettimeofday(&curr_time,&tzp); */ +/* printf("Elapsed time %d\n", asc_diff_time(curr_time.tv_sec-start_time.tv_sec,tmpout)); */ + + /* */ + strcpy(fileres,"r"); + strcat(fileres, optionfilefiname); + strcat(fileres,".txt"); /* Other files have txt extension */ + + /*---------arguments file --------*/ + + if((ficpar=fopen(optionfile,"r"))==NULL) { + printf("Problem with optionfile %s\n",optionfile); + fprintf(ficlog,"Problem with optionfile %s\n",optionfile); + fflush(ficlog); + goto end; + } + + + + strcpy(filereso,"o"); + strcat(filereso,fileres); + if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */ + printf("Problem with Output resultfile: %s\n", filereso); + fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso); + fflush(ficlog); + goto end; + } + + /* Reads comments: lines beginning with '#' */ + numlinepar=0; + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + numlinepar++; + puts(line); + fputs(line,ficparo); + fputs(line,ficlog); + } + ungetc(c,ficpar); + + fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); + numlinepar++; + printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); + fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model); + fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model); + fflush(ficlog); + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + numlinepar++; + puts(line); + fputs(line,ficparo); + fputs(line,ficlog); + } + ungetc(c,ficpar); + + + covar=matrix(0,NCOVMAX,1,n); + cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/ + /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5 + v1+v2*age+v2*v3 makes cptcovn = 3 + */ + if (strlen(model)>1) + cptcovn=nbocc(model,'+')+1; + /* ncovprod */ + ncovmodel=2+cptcovn; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7*/ + nvar=ncovmodel-1; /* Suppressing age as a basic covariate */ + nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */ + npar= nforce*ncovmodel; /* Number of parameters like aij*/ + if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){ + printf("Too complex model for current IMaCh: npar=(nlstate+ndeath-1)*nlstate*ncovmodel=%d >= %d(MAXPARM) or nlstate=%d >= %d(NLSTATEMAX) or ndeath=%d >= %d(NDEATHMAX) or ncovmodel=(k+age+#of+signs)=%d(NCOVMAX) >= %d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX); + fprintf(ficlog,"Too complex model for current IMaCh: %d >=%d(MAXPARM) or %d >=%d(NLSTATEMAX) or %d >=%d(NDEATHMAX) or %d(NCOVMAX) >=%d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX); + fflush(stdout); + fclose (ficlog); + goto end; + } + delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); + delti=delti3[1][1]; + /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/ + if(mle==-1){ /* Print a wizard for help writing covariance matrix */ + prwizard(ncovmodel, nlstate, ndeath, model, ficparo); + printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso); + fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso); + free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); + fclose (ficparo); + fclose (ficlog); + goto end; + exit(0); + } + else if(mle==-3) { + prwizard(ncovmodel, nlstate, ndeath, model, ficparo); + printf(" You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso); + fprintf(ficlog," You choose mle=-3, look at file %s for a template of covariance matrix \n",filereso); + param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); + matcov=matrix(1,npar,1,npar); + } + else{ + /* Read guess parameters */ + /* Reads comments: lines beginning with '#' */ + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + numlinepar++; + puts(line); + fputs(line,ficparo); + fputs(line,ficlog); + } + ungetc(c,ficpar); + + param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); + for(i=1; i <=nlstate; i++){ + j=0; + for(jj=1; jj <=nlstate+ndeath; jj++){ + if(jj==i) continue; + j++; + fscanf(ficpar,"%1d%1d",&i1,&j1); + if ((i1 != i) && (j1 != j)){ + printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \ +It might be a problem of design; if ncovcol and the model are correct\n \ +run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1); + exit(1); + } + fprintf(ficparo,"%1d%1d",i1,j1); + if(mle==1) + printf("%1d%1d",i,j); + fprintf(ficlog,"%1d%1d",i,j); + for(k=1; k<=ncovmodel;k++){ + fscanf(ficpar," %lf",¶m[i][j][k]); + if(mle==1){ + printf(" %lf",param[i][j][k]); + fprintf(ficlog," %lf",param[i][j][k]); + } + else + fprintf(ficlog," %lf",param[i][j][k]); + fprintf(ficparo," %lf",param[i][j][k]); + } + fscanf(ficpar,"\n"); + numlinepar++; + if(mle==1) + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficparo,"\n"); + } + } + fflush(ficlog); + + p=param[1][1]; + + /* Reads comments: lines beginning with '#' */ + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + numlinepar++; + puts(line); + fputs(line,ficparo); + fputs(line,ficlog); + } + ungetc(c,ficpar); + + for(i=1; i <=nlstate; i++){ + for(j=1; j <=nlstate+ndeath-1; j++){ + fscanf(ficpar,"%1d%1d",&i1,&j1); + if ((i1-i)*(j1-j)!=0){ + printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1); + exit(1); + } + printf("%1d%1d",i,j); + fprintf(ficparo,"%1d%1d",i1,j1); + fprintf(ficlog,"%1d%1d",i1,j1); + for(k=1; k<=ncovmodel;k++){ + fscanf(ficpar,"%le",&delti3[i][j][k]); + printf(" %le",delti3[i][j][k]); + fprintf(ficparo," %le",delti3[i][j][k]); + fprintf(ficlog," %le",delti3[i][j][k]); + } + fscanf(ficpar,"\n"); + numlinepar++; + printf("\n"); + fprintf(ficparo,"\n"); + fprintf(ficlog,"\n"); + } + } + fflush(ficlog); + + delti=delti3[1][1]; + + + /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */ + + /* Reads comments: lines beginning with '#' */ + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + numlinepar++; + puts(line); + fputs(line,ficparo); + fputs(line,ficlog); + } + ungetc(c,ficpar); + + matcov=matrix(1,npar,1,npar); + for(i=1; i <=npar; i++) + for(j=1; j <=npar; j++) matcov[i][j]=0.; + + for(i=1; i <=npar; i++){ + fscanf(ficpar,"%s",&str); + if(mle==1) + printf("%s",str); + fprintf(ficlog,"%s",str); + fprintf(ficparo,"%s",str); + for(j=1; j <=i; j++){ + fscanf(ficpar," %le",&matcov[i][j]); + if(mle==1){ + printf(" %.5le",matcov[i][j]); + } + fprintf(ficlog," %.5le",matcov[i][j]); + fprintf(ficparo," %.5le",matcov[i][j]); + } + fscanf(ficpar,"\n"); + numlinepar++; + if(mle==1) + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficparo,"\n"); + } + for(i=1; i <=npar; i++) + for(j=i+1;j<=npar;j++) + matcov[i][j]=matcov[j][i]; + + if(mle==1) + printf("\n"); + fprintf(ficlog,"\n"); + + fflush(ficlog); + + /*-------- Rewriting parameter file ----------*/ + strcpy(rfileres,"r"); /* "Rparameterfile */ + strcat(rfileres,optionfilefiname); /* Parameter file first name*/ + strcat(rfileres,"."); /* */ + strcat(rfileres,optionfilext); /* Other files have txt extension */ + if((ficres =fopen(rfileres,"w"))==NULL) { + printf("Problem writing new parameter file: %s\n", fileres);goto end; + fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end; + } + fprintf(ficres,"#%s\n",version); + } /* End of mle != -3 */ + + + n= lastobs; + num=lvector(1,n); + moisnais=vector(1,n); + annais=vector(1,n); + moisdc=vector(1,n); + andc=vector(1,n); + agedc=vector(1,n); + cod=ivector(1,n); + weight=vector(1,n); + for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */ + mint=matrix(1,maxwav,1,n); + anint=matrix(1,maxwav,1,n); + s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ + tab=ivector(1,NCOVMAX); + ncodemax=ivector(1,8); /* hard coded ? */ + + /* Reads data from file datafile */ + if (readdata(datafile, firstobs, lastobs, &imx)==1) + goto end; + + /* Calculation of the number of parameters from char model */ + /* modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 + k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4 + k=3 V4 Tvar[k=3]= 4 (from V4) + k=2 V1 Tvar[k=2]= 1 (from V1) + k=1 Tvar[1]=2 (from V2) + */ + Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */ + /* V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). + For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, + Tvar[4=age*V3] is 3 and 'age' is recorded in Tage. + */ + /* For model-covariate k tells which data-covariate to use but + because this model-covariate is a construction we invent a new column + ncovcol + k1 + If already ncovcol=4 and model=V2+V1+V1*V4+age*V3 + Tvar[3=V1*V4]=4+1 etc */ + Tprod=ivector(1,15); + /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3 + if V2+V1+V1*V4+age*V3+V3*V2 TProd[k1=2]=5 (V3*V2) + */ + Tvaraff=ivector(1,15); + Tvard=imatrix(1,15,1,2); /* For V3*V2 Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */ + Tage=ivector(1,15); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age + 4 covariates (3 plus signs) + Tage[1=V3*age]= 4; Tage[2=age*V4] = 3 + */ + + if(decodemodel(model, lastobs) == 1) + goto end; + + if((double)(lastobs-imx)/(double)imx > 1.10){ + nbwarn++; + printf("Warning: The value of parameter lastobs=%d is big compared to the \n effective number of cases imx=%d, please adjust, \n otherwise you are allocating more memory than necessary.\n",lastobs, imx); + fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n effective number of cases imx=%d, please adjust, \n otherwise you are allocating more memory than necessary.\n",lastobs, imx); + } + /* if(mle==1){*/ + if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/ + for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */ + } + + /*-calculation of age at interview from date of interview and age at death -*/ + agev=matrix(1,maxwav,1,imx); + + if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1) + goto end; + + + agegomp=(int)agemin; + free_vector(moisnais,1,n); + free_vector(annais,1,n); + /* free_matrix(mint,1,maxwav,1,n); + free_matrix(anint,1,maxwav,1,n);*/ + free_vector(moisdc,1,n); + free_vector(andc,1,n); + + + wav=ivector(1,imx); + dh=imatrix(1,lastpass-firstpass+1,1,imx); + bh=imatrix(1,lastpass-firstpass+1,1,imx); + mw=imatrix(1,lastpass-firstpass+1,1,imx); + + /* Concatenates waves */ + concatwav(wav, dh, bh, mw, s, agedc, agev, firstpass, lastpass, imx, nlstate, stepm); + + /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */ + + nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); + ncodemax[1]=1; + if (cptcovn > 0) tricode(Tvar,nbcode,imx); + + codtab=imatrix(1,100,1,10); /* Cross tabulation to get the order of + the estimations*/ + h=0; + m=pow(2,cptcoveff); + + for(k=1;k<=cptcoveff; k++){ /* scans any effective covariate */ + for(i=1; i <=(m/pow(2,k));i++){ /* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 */ + for(j=1; j <= ncodemax[k]; j++){ /* For each modality of this covariate */ + for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){ /* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 */ + h++; + if (h>m) { + h=1; + codtab[h][k]=j; + codtab[h][Tvar[k]]=j; + } + printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]); + } + } + } + } + /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); + codtab[1][2]=1;codtab[2][2]=2; */ + /* for(i=1; i <=m ;i++){ + for(k=1; k <=cptcovn; k++){ + printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); + } + printf("\n"); + } + scanf("%d",i);*/ + + /*------------ gnuplot -------------*/ + strcpy(optionfilegnuplot,optionfilefiname); + if(mle==-3) + strcat(optionfilegnuplot,"-mort"); + strcat(optionfilegnuplot,".gp"); + + if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) { + printf("Problem with file %s",optionfilegnuplot); + } + else{ + fprintf(ficgp,"\n# %s\n", version); + fprintf(ficgp,"# %s\n", optionfilegnuplot); + fprintf(ficgp,"set missing 'NaNq'\n"); + } + /* fclose(ficgp);*/ + /*--------- index.htm --------*/ + + strcpy(optionfilehtm,optionfilefiname); /* Main html file */ + if(mle==-3) + strcat(optionfilehtm,"-mort"); + strcat(optionfilehtm,".htm"); + if((fichtm=fopen(optionfilehtm,"w"))==NULL) { + printf("Problem with %s \n",optionfilehtm); + exit(0); + } + + strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */ + strcat(optionfilehtmcov,"-cov.htm"); + if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL) { + printf("Problem with %s \n",optionfilehtmcov), exit(0); + } + else{ + fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s\n %s
    %s
    \ +
    \n\ +Title=%s
    Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s
    \n",\ + optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model); + } + + fprintf(fichtm,"\nIMaCh %s\n %s
    %s
    \ +
    \n\ +Title=%s
    Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s
    \n\ +\n\ +
    \ +
    • Parameter files

      \n\ + - Parameter file: %s.%s
      \n\ + - Copy of the parameter file: o%s
      \n\ + - Log file of the run: %s
      \n\ + - Gnuplot file name: %s
      \n\ + - Date and time at start: %s
    \n",\ + optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\ + optionfilefiname,optionfilext,optionfilefiname,optionfilext,\ + fileres,fileres,\ + filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart); + fflush(fichtm); + + strcpy(pathr,path); + strcat(pathr,optionfilefiname); + chdir(optionfilefiname); /* Move to directory named optionfile */ + + /* Calculates basic frequencies. Computes observed prevalence at single age + and prints on file fileres'p'. */ + freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart); + + fprintf(fichtm,"\n"); + fprintf(fichtm,"
    Total number of observations=%d
    \n\ +Youngest age at first (selected) pass %.2f, oldest age %.2f
    \n\ +Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf
    \n",\ + imx,agemin,agemax,jmin,jmax,jmean); + pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */ + oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */ + + + /* For Powell, parameters are in a vector p[] starting at p[1] + so we point p on param[1][1] so that p[1] maps on param[1][1][1] */ + p=param[1][1]; /* *(*(*(param +1)+1)+0) */ + + globpr=0; /* To get the number ipmx of contributions and the sum of weights*/ + + if (mle==-3){ + ximort=matrix(1,NDIM,1,NDIM); +/* ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */ + cens=ivector(1,n); + ageexmed=vector(1,n); + agecens=vector(1,n); + dcwave=ivector(1,n); + + for (i=1; i<=imx; i++){ + dcwave[i]=-1; + for (m=firstpass; m<=lastpass; m++) + if (s[m][i]>nlstate) { + dcwave[i]=m; + /* printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/ + break; + } + } + + for (i=1; i<=imx; i++) { + if (wav[i]>0){ + ageexmed[i]=agev[mw[1][i]][i]; + j=wav[i]; + agecens[i]=1.; + + if (ageexmed[i]> 1 && wav[i] > 0){ + agecens[i]=agev[mw[j][i]][i]; + cens[i]= 1; + }else if (ageexmed[i]< 1) + cens[i]= -1; + if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass) + cens[i]=0 ; + } + else cens[i]=-1; + } + + for (i=1;i<=NDIM;i++) { + for (j=1;j<=NDIM;j++) + ximort[i][j]=(i == j ? 1.0 : 0.0); + } + + p[1]=0.0268; p[NDIM]=0.083; + /*printf("%lf %lf", p[1], p[2]);*/ + + +#ifdef GSL + printf("GSL optimization\n"); fprintf(ficlog,"Powell\n"); +#elsedef + printf("Powell\n"); fprintf(ficlog,"Powell\n"); +#endif + strcpy(filerespow,"pow-mort"); + strcat(filerespow,fileres); + if((ficrespow=fopen(filerespow,"w"))==NULL) { + printf("Problem with resultfile: %s\n", filerespow); + fprintf(ficlog,"Problem with resultfile: %s\n", filerespow); + } +#ifdef GSL + fprintf(ficrespow,"# GSL optimization\n# iter -2*LL"); +#elsedef + fprintf(ficrespow,"# Powell\n# iter -2*LL"); +#endif + /* for (i=1;i<=nlstate;i++) + for(j=1;j<=nlstate+ndeath;j++) + if(j!=i)fprintf(ficrespow," p%1d%1d",i,j); + */ + fprintf(ficrespow,"\n"); +#ifdef GSL + /* gsl starts here */ + T = gsl_multimin_fminimizer_nmsimplex; + gsl_multimin_fminimizer *sfm = NULL; + gsl_vector *ss, *x; + gsl_multimin_function minex_func; + + /* Initial vertex size vector */ + ss = gsl_vector_alloc (NDIM); + + if (ss == NULL){ + GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0); + } + /* Set all step sizes to 1 */ + gsl_vector_set_all (ss, 0.001); + + /* Starting point */ + + x = gsl_vector_alloc (NDIM); + + if (x == NULL){ + gsl_vector_free(ss); + GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0); + } + + /* Initialize method and iterate */ + /* p[1]=0.0268; p[NDIM]=0.083; */ +/* gsl_vector_set(x, 0, 0.0268); */ +/* gsl_vector_set(x, 1, 0.083); */ + gsl_vector_set(x, 0, p[1]); + gsl_vector_set(x, 1, p[2]); + + minex_func.f = &gompertz_f; + minex_func.n = NDIM; + minex_func.params = (void *)&p; /* ??? */ + + sfm = gsl_multimin_fminimizer_alloc (T, NDIM); + gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss); + + printf("Iterations beginning .....\n\n"); + printf("Iter. # Intercept Slope -Log Likelihood Simplex size\n"); + + iteri=0; + while (rval == GSL_CONTINUE){ + iteri++; + status = gsl_multimin_fminimizer_iterate(sfm); + + if (status) printf("error: %s\n", gsl_strerror (status)); + fflush(0); + + if (status) + break; + + rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6); + ssval = gsl_multimin_fminimizer_size (sfm); + + if (rval == GSL_SUCCESS) + printf ("converged to a local maximum at\n"); + + printf("%5d ", iteri); + for (it = 0; it < NDIM; it++){ + printf ("%10.5f ", gsl_vector_get (sfm->x, it)); + } + printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval); + } + + printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n"); + + gsl_vector_free(x); /* initial values */ + gsl_vector_free(ss); /* inital step size */ + for (it=0; itx,it); + fprintf(ficrespow," %.12lf", p[it]); + } + gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1) */ +#endif +#ifdef POWELL + powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz); +#endif + fclose(ficrespow); + + hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); + + for(i=1; i <=NDIM; i++) + for(j=i+1;j<=NDIM;j++) + matcov[i][j]=matcov[j][i]; + + printf("\nCovariance matrix\n "); + for(i=1; i <=NDIM; i++) { + for(j=1;j<=NDIM;j++){ + printf("%f ",matcov[i][j]); + } + printf("\n "); + } + + printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp); + for (i=1;i<=NDIM;i++) + printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i])); + + lsurv=vector(1,AGESUP); + lpop=vector(1,AGESUP); + tpop=vector(1,AGESUP); + lsurv[agegomp]=100000; + + for (k=agegomp;k<=AGESUP;k++) { + agemortsup=k; + if (p[1]*exp(p[2]*(k-agegomp))>1) break; + } + + for (k=agegomp;k=1 */ + globpr=0;/* debug */ + likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */ + printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw); + for (k=1; k<=npar;k++) + printf(" %d %8.5f",k,p[k]); + printf("\n"); + globpr=1; /* to print the contributions */ + likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */ + printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw); + for (k=1; k<=npar;k++) + printf(" %d %8.5f",k,p[k]); + printf("\n"); + if(mle>=1){ /* Could be 1 or 2 */ + mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func); + } + + /*--------- results files --------------*/ + fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model); + + + fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); + printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); + fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n"); + for(i=1,jk=1; i <=nlstate; i++){ + for(k=1; k <=(nlstate+ndeath); k++){ + if (k != i) { + printf("%d%d ",i,k); + fprintf(ficlog,"%d%d ",i,k); + fprintf(ficres,"%1d%1d ",i,k); + for(j=1; j <=ncovmodel; j++){ + printf("%lf ",p[jk]); + fprintf(ficlog,"%lf ",p[jk]); + fprintf(ficres,"%lf ",p[jk]); + jk++; + } + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficres,"\n"); + } + } + } + if(mle!=0){ + /* Computing hessian and covariance matrix */ + ftolhess=ftol; /* Usually correct */ + hesscov(matcov, p, npar, delti, ftolhess, func); + } + fprintf(ficres,"# Scales (for hessian or gradient estimation)\n"); + printf("# Scales (for hessian or gradient estimation)\n"); + fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n"); + for(i=1,jk=1; i <=nlstate; i++){ + for(j=1; j <=nlstate+ndeath; j++){ + if (j!=i) { + fprintf(ficres,"%1d%1d",i,j); + printf("%1d%1d",i,j); + fprintf(ficlog,"%1d%1d",i,j); + for(k=1; k<=ncovmodel;k++){ + printf(" %.5e",delti[jk]); + fprintf(ficlog," %.5e",delti[jk]); + fprintf(ficres," %.5e",delti[jk]); + jk++; + } + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficres,"\n"); + } + } + } + + fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n# ...\n# 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n"); + if(mle>=1) + printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n# ...\n# 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n"); + fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n# ...\n# 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n"); + /* # 121 Var(a12)\n\ */ + /* # 122 Cov(b12,a12) Var(b12)\n\ */ + /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */ + /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */ + /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */ + /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */ + /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */ + /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */ + + + /* Just to have a covariance matrix which will be more understandable + even is we still don't want to manage dictionary of variables + */ + for(itimes=1;itimes<=2;itimes++){ + jj=0; + for(i=1; i <=nlstate; i++){ + for(j=1; j <=nlstate+ndeath; j++){ + if(j==i) continue; + for(k=1; k<=ncovmodel;k++){ + jj++; + ca[0]= k+'a'-1;ca[1]='\0'; + if(itimes==1){ + if(mle>=1) + printf("#%1d%1d%d",i,j,k); + fprintf(ficlog,"#%1d%1d%d",i,j,k); + fprintf(ficres,"#%1d%1d%d",i,j,k); + }else{ + if(mle>=1) + printf("%1d%1d%d",i,j,k); + fprintf(ficlog,"%1d%1d%d",i,j,k); + fprintf(ficres,"%1d%1d%d",i,j,k); + } + ll=0; + for(li=1;li <=nlstate; li++){ + for(lj=1;lj <=nlstate+ndeath; lj++){ + if(lj==li) continue; + for(lk=1;lk<=ncovmodel;lk++){ + ll++; + if(ll<=jj){ + cb[0]= lk +'a'-1;cb[1]='\0'; + if(ll=1) + printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj); + fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj); + fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj); + }else{ + if(mle>=1) + printf(" %.5e",matcov[jj][ll]); + fprintf(ficlog," %.5e",matcov[jj][ll]); + fprintf(ficres," %.5e",matcov[jj][ll]); + } + }else{ + if(itimes==1){ + if(mle>=1) + printf(" Var(%s%1d%1d)",ca,i,j); + fprintf(ficlog," Var(%s%1d%1d)",ca,i,j); + fprintf(ficres," Var(%s%1d%1d)",ca,i,j); + }else{ + if(mle>=1) + printf(" %.5e",matcov[jj][ll]); + fprintf(ficlog," %.5e",matcov[jj][ll]); + fprintf(ficres," %.5e",matcov[jj][ll]); + } + } + } + } /* end lk */ + } /* end lj */ + } /* end li */ + if(mle>=1) + printf("\n"); + fprintf(ficlog,"\n"); + fprintf(ficres,"\n"); + numlinepar++; + } /* end k*/ + } /*end j */ + } /* end i */ + } /* end itimes */ + + fflush(ficlog); + fflush(ficres); + + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + puts(line); + fputs(line,ficparo); + } + ungetc(c,ficpar); + + estepm=0; + fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm); + if (estepm==0 || estepm < stepm) estepm=stepm; + if (fage <= 2) { + bage = ageminpar; + fage = agemaxpar; + } + + fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n"); + fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm); + fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm); + + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + puts(line); + fputs(line,ficparo); + } + ungetc(c,ficpar); + + fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav); + fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav); + fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav); + printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav); + fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav); + + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + puts(line); + fputs(line,ficparo); + } + ungetc(c,ficpar); + + + dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.; + dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.; + + fscanf(ficpar,"pop_based=%d\n",&popbased); + fprintf(ficparo,"pop_based=%d\n",popbased); + fprintf(ficres,"pop_based=%d\n",popbased); + + while((c=getc(ficpar))=='#' && c!= EOF){ + ungetc(c,ficpar); + fgets(line, MAXLINE, ficpar); + puts(line); + fputs(line,ficparo); + } + ungetc(c,ficpar); + + fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj); + fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj); + printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj); + fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj); + fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj); + /* day and month of proj2 are not used but only year anproj2.*/ + + + + /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);*/ + /*,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/ + + replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */ + printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p); + + printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\ + model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\ + jprev1,mprev1,anprev1,jprev2,mprev2,anprev2); + + /*------------ free_vector -------------*/ + /* chdir(path); */ + + free_ivector(wav,1,imx); + free_imatrix(dh,1,lastpass-firstpass+1,1,imx); + free_imatrix(bh,1,lastpass-firstpass+1,1,imx); + free_imatrix(mw,1,lastpass-firstpass+1,1,imx); + free_lvector(num,1,n); + free_vector(agedc,1,n); + /*free_matrix(covar,0,NCOVMAX,1,n);*/ + /*free_matrix(covar,1,NCOVMAX,1,n);*/ + fclose(ficparo); + fclose(ficres); + + + /*--------------- Prevalence limit (period or stable prevalence) --------------*/ + + strcpy(filerespl,"pl"); + strcat(filerespl,fileres); + if((ficrespl=fopen(filerespl,"w"))==NULL) { + printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);goto end; + fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);goto end; + } + printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl); + fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl); + pstamp(ficrespl); + fprintf(ficrespl,"# Period (stable) prevalence \n"); + fprintf(ficrespl,"#Age "); + for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i); + fprintf(ficrespl,"\n"); + + prlim=matrix(1,nlstate,1,nlstate); + + agebase=ageminpar; + agelim=agemaxpar; + ftolpl=1.e-10; + i1=cptcoveff; + if (cptcovn < 1){i1=1;} + + for(cptcov=1,k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ + k=k+1; + /* to clean */ + printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,codtab[cptcod][cptcov],nbcode); + fprintf(ficrespl,"\n#******"); + printf("\n#******"); + fprintf(ficlog,"\n#******"); + for(j=1;j<=cptcoveff;j++) { + fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + } + fprintf(ficrespl,"******\n"); + printf("******\n"); + fprintf(ficlog,"******\n"); + + for (age=agebase; age<=agelim; age++){ + prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); + fprintf(ficrespl,"%.0f ",age ); + for(j=1;j<=cptcoveff;j++) + fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + for(i=1; i<=nlstate;i++) + fprintf(ficrespl," %.5f", prlim[i][i]); + fprintf(ficrespl,"\n"); + } + } + } + fclose(ficrespl); + + /*------------- h Pij x at various ages ------------*/ + + strcpy(filerespij,"pij"); strcat(filerespij,fileres); + if((ficrespij=fopen(filerespij,"w"))==NULL) { + printf("Problem with Pij resultfile: %s\n", filerespij);goto end; + fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end; + } + printf("Computing pij: result on file '%s' \n", filerespij); + fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij); + + stepsize=(int) (stepm+YEARM-1)/YEARM; + /*if (stepm<=24) stepsize=2;*/ + + agelim=AGESUP; + hstepm=stepsize*YEARM; /* Every year of age */ + hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ + + /* hstepm=1; aff par mois*/ + pstamp(ficrespij); + fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x "); + for(cptcov=1,k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ + k=k+1; + fprintf(ficrespij,"\n#****** "); + for(j=1;j<=cptcoveff;j++) + fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficrespij,"******\n"); + + for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */ + nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ + nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */ + + /* nhstepm=nhstepm*YEARM; aff par mois*/ + + p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + oldm=oldms;savm=savms; + hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k); + fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j="); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate+ndeath;j++) + fprintf(ficrespij," %1d-%1d",i,j); + fprintf(ficrespij,"\n"); + for (h=0; h<=nhstepm; h++){ + fprintf(ficrespij,"%d %3.f %3.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm ); + for(i=1; i<=nlstate;i++) + for(j=1; j<=nlstate+ndeath;j++) + fprintf(ficrespij," %.5f", p3mat[i][j][h]); + fprintf(ficrespij,"\n"); + } + free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm); + fprintf(ficrespij,"\n"); + } + } + } + + varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart); + + fclose(ficrespij); + + probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX); + for(i=1;i<=AGESUP;i++) + for(j=1;j<=NCOVMAX;j++) + for(k=1;k<=NCOVMAX;k++) + probs[i][j][k]=0.; + + /*---------- Forecasting ------------------*/ + /*if((stepm == 1) && (strcmp(model,".")==0)){*/ + if(prevfcast==1){ + /* if(stepm ==1){*/ + prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff); + /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/ + /* } */ + /* else{ */ + /* erreur=108; */ + /* printf("Warning %d!! You can only forecast the prevalences if the optimization\n has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */ + /* fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */ + /* } */ + } + + + /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */ + + prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass); + /* printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d, mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\ + ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass); + */ + + if (mobilav!=0) { + mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){ + fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav); + printf(" Error in movingaverage mobilav=%d\n",mobilav); + } + } + + + /*---------- Health expectancies, no variances ------------*/ + + strcpy(filerese,"e"); + strcat(filerese,fileres); + if((ficreseij=fopen(filerese,"w"))==NULL) { + printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0); + fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0); + } + printf("Computing Health Expectancies: result on file '%s' \n", filerese); + fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese); + for(cptcov=1,k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ + k=k+1; + fprintf(ficreseij,"\n#****** "); + for(j=1;j<=cptcoveff;j++) { + fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + } + fprintf(ficreseij,"******\n"); + + eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage); + oldm=oldms;savm=savms; + evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart); + + free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage); + } + } + fclose(ficreseij); + + + /*---------- Health expectancies and variances ------------*/ + + + strcpy(filerest,"t"); + strcat(filerest,fileres); + if((ficrest=fopen(filerest,"w"))==NULL) { + printf("Problem with total LE resultfile: %s\n", filerest);goto end; + fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end; + } + printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); + fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); + + + strcpy(fileresstde,"stde"); + strcat(fileresstde,fileres); + if((ficresstdeij=fopen(fileresstde,"w"))==NULL) { + printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0); + fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0); + } + printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde); + fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde); + + strcpy(filerescve,"cve"); + strcat(filerescve,fileres); + if((ficrescveij=fopen(filerescve,"w"))==NULL) { + printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0); + fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0); + } + printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve); + fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve); + + strcpy(fileresv,"v"); + strcat(fileresv,fileres); + if((ficresvij=fopen(fileresv,"w"))==NULL) { + printf("Problem with variance resultfile: %s\n", fileresv);exit(0); + fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0); + } + printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv); + fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv); + + for(cptcov=1,k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ + k=k+1; + fprintf(ficrest,"\n#****** "); + for(j=1;j<=cptcoveff;j++) + fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficrest,"******\n"); + + fprintf(ficresstdeij,"\n#****** "); + fprintf(ficrescveij,"\n#****** "); + for(j=1;j<=cptcoveff;j++) { + fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + } + fprintf(ficresstdeij,"******\n"); + fprintf(ficrescveij,"******\n"); + + fprintf(ficresvij,"\n#****** "); + for(j=1;j<=cptcoveff;j++) + fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficresvij,"******\n"); + + eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage); + oldm=oldms;savm=savms; + cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart); + + vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage); + pstamp(ficrest); + for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/ + oldm=oldms;savm=savms; + varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n# (weighted average of eij where weights are "); + if(vpopbased==1) + fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav); + else + fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n"); + fprintf(ficrest,"# Age e.. (std) "); + for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i); + fprintf(ficrest,"\n"); + + epj=vector(1,nlstate+1); + for(age=bage; age <=fage ;age++){ + prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); + if (vpopbased==1) { + if(mobilav ==0){ + for(i=1; i<=nlstate;i++) + prlim[i][i]=probs[(int)age][i][k]; + }else{ /* mobilav */ + for(i=1; i<=nlstate;i++) + prlim[i][i]=mobaverage[(int)age][i][k]; + } + } + + fprintf(ficrest," %4.0f",age); + for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){ + for(i=1, epj[j]=0.;i <=nlstate;i++) { + epj[j] += prlim[i][i]*eij[i][j][(int)age]; + /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/ + } + epj[nlstate+1] +=epj[j]; + } + + for(i=1, vepp=0.;i <=nlstate;i++) + for(j=1;j <=nlstate;j++) + vepp += vareij[i][j][(int)age]; + fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp)); + for(j=1;j <=nlstate;j++){ + fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age])); + } + fprintf(ficrest,"\n"); + } + } + free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage); + free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage); + free_vector(epj,1,nlstate+1); + } + } + free_vector(weight,1,n); + free_imatrix(Tvard,1,15,1,2); + free_imatrix(s,1,maxwav+1,1,n); + free_matrix(anint,1,maxwav,1,n); + free_matrix(mint,1,maxwav,1,n); + free_ivector(cod,1,n); + free_ivector(tab,1,NCOVMAX); + fclose(ficresstdeij); + fclose(ficrescveij); + fclose(ficresvij); + fclose(ficrest); + fclose(ficpar); + + /*------- Variance of period (stable) prevalence------*/ + + strcpy(fileresvpl,"vpl"); + strcat(fileresvpl,fileres); + if((ficresvpl=fopen(fileresvpl,"w"))==NULL) { + printf("Problem with variance of period (stable) prevalence resultfile: %s\n", fileresvpl); + exit(0); + } + printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl); + + for(cptcov=1,k=0;cptcov<=i1;cptcov++){ + for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){ + k=k+1; + fprintf(ficresvpl,"\n#****** "); + for(j=1;j<=cptcoveff;j++) + fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]); + fprintf(ficresvpl,"******\n"); + + varpl=matrix(1,nlstate,(int) bage, (int) fage); + oldm=oldms;savm=savms; + varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart); + free_matrix(varpl,1,nlstate,(int) bage, (int)fage); + } + } + + fclose(ficresvpl); + + /*---------- End : free ----------------*/ + if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX); + free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX); + + } /* mle==-3 arrives here for freeing */ + endfree: + free_matrix(prlim,1,nlstate,1,nlstate); + free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath); + free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath); + free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath); + free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath); + free_matrix(covar,0,NCOVMAX,1,n); + free_matrix(matcov,1,npar,1,npar); + /*free_vector(delti,1,npar);*/ + free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); + free_matrix(agev,1,maxwav,1,imx); + free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); + + free_ivector(ncodemax,1,8); + free_ivector(Tvar,1,15); + free_ivector(Tprod,1,15); + free_ivector(Tvaraff,1,15); + free_ivector(Tage,1,15); + + free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX); + free_imatrix(codtab,1,100,1,10); + fflush(fichtm); + fflush(ficgp); + + + if((nberr >0) || (nbwarn>0)){ + printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn); + fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn); + }else{ + printf("End of Imach\n"); + fprintf(ficlog,"End of Imach\n"); + } + printf("See log file on %s\n",filelog); + /* gettimeofday(&end_time, (struct timezone*)0);*/ /* after time */ + (void) gettimeofday(&end_time,&tzp); + tm = *localtime(&end_time.tv_sec); + tmg = *gmtime(&end_time.tv_sec); + strcpy(strtend,asctime(&tm)); + printf("Local time at start %s\nLocal time at end %s",strstart, strtend); + fprintf(ficlog,"Local time at start %s\nLocal time at end %s\n",strstart, strtend); + printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout)); + + printf("Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec); + fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout)); + fprintf(ficlog,"Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec); + /* printf("Total time was %d uSec.\n", total_usecs);*/ +/* if(fileappend(fichtm,optionfilehtm)){ */ + fprintf(fichtm,"
    Local time at start %s
    Local time at end %s
    \n",strstart, strtend); + fclose(fichtm); + fprintf(fichtmcov,"
    Local time at start %s
    Local time at end %s
    \n",strstart, strtend); + fclose(fichtmcov); + fclose(ficgp); + fclose(ficlog); + /*------ End -----------*/ + + + printf("Before Current directory %s!\n",pathcd); + if(chdir(pathcd) != 0) + printf("Can't move to directory %s!\n",path); + if(getcwd(pathcd,MAXLINE) > 0) + printf("Current directory %s!\n",pathcd); + /*strcat(plotcmd,CHARSEPARATOR);*/ + sprintf(plotcmd,"gnuplot"); +#ifndef UNIX + sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach); +#endif + if(!stat(plotcmd,&info)){ + printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout); + if(!stat(getenv("GNUPLOTBIN"),&info)){ + printf("Error gnuplot program not found: %s Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout); + }else + strcpy(pplotcmd,plotcmd); +#ifdef UNIX + strcpy(plotcmd,GNUPLOTPROGRAM); + if(!stat(plotcmd,&info)){ + printf("Error gnuplot program not found: %s\n",plotcmd);fflush(stdout); + }else + strcpy(pplotcmd,plotcmd); +#endif + }else + strcpy(pplotcmd,plotcmd); + + sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot); + printf("Starting graphs with: %s\n",plotcmd);fflush(stdout); + + if((outcmd=system(plotcmd)) != 0){ + printf("\n Problem with gnuplot\n"); + } + printf(" Wait..."); + while (z[0] != 'q') { + /* chdir(path); */ + printf("\nType e to edit output files, g to graph again and q for exiting: "); + scanf("%s",z); +/* if (z[0] == 'c') system("./imach"); */ + if (z[0] == 'e') { + printf("Starting browser with: %s",optionfilehtm);fflush(stdout); + system(optionfilehtm); + } + else if (z[0] == 'g') system(plotcmd); + else if (z[0] == 'q') exit(0); + } + end: + while (z[0] != 'q') { + printf("\nType q for exiting: "); + scanf("%s",z); + } +} + + +