--- imach/src/imach.c 2017/05/13 10:25:05 1.267 +++ imach/src/imach.c 2018/04/27 14:27:04 1.286 @@ -1,6 +1,65 @@ -/* $Id: imach.c,v 1.267 2017/05/13 10:25:05 brouard Exp $ +/* $Id: imach.c,v 1.286 2018/04/27 14:27:04 brouard Exp $ $State: Exp $ $Log: imach.c,v $ + Revision 1.286 2018/04/27 14:27:04 brouard + Summary: some minor bugs + + Revision 1.285 2018/04/21 21:02:16 brouard + Summary: Some bugs fixed, valgrind tested + + Revision 1.284 2018/04/20 05:22:13 brouard + Summary: Computing mean and stdeviation of fixed quantitative variables + + Revision 1.283 2018/04/19 14:49:16 brouard + Summary: Some minor bugs fixed + + Revision 1.282 2018/02/27 22:50:02 brouard + *** empty log message *** + + Revision 1.281 2018/02/27 19:25:23 brouard + Summary: Adding second argument for quitting + + Revision 1.280 2018/02/21 07:58:13 brouard + Summary: 0.99r15 + + New Makefile with recent VirtualBox 5.26. Bug in sqrt negatve in imach.c + + Revision 1.279 2017/07/20 13:35:01 brouard + Summary: temporary working + + Revision 1.278 2017/07/19 14:09:02 brouard + Summary: Bug for mobil_average=0 and prevforecast fixed(?) + + Revision 1.277 2017/07/17 08:53:49 brouard + Summary: BOM files can be read now + + Revision 1.276 2017/06/30 15:48:31 brouard + Summary: Graphs improvements + + Revision 1.275 2017/06/30 13:39:33 brouard + Summary: Saito's color + + Revision 1.274 2017/06/29 09:47:08 brouard + Summary: Version 0.99r14 + + Revision 1.273 2017/06/27 11:06:02 brouard + Summary: More documentation on projections + + Revision 1.272 2017/06/27 10:22:40 brouard + Summary: Color of backprojection changed from 6 to 5(yellow) + + Revision 1.271 2017/06/27 10:17:50 brouard + Summary: Some bug with rint + + Revision 1.270 2017/05/24 05:45:29 brouard + *** empty log message *** + + Revision 1.269 2017/05/23 08:39:25 brouard + Summary: Code into subroutine, cleanings + + Revision 1.268 2017/05/18 20:09:32 brouard + Summary: backprojection and confidence intervals of backprevalence + Revision 1.267 2017/05/13 10:25:05 brouard Summary: temporary save for backprojection @@ -989,6 +1048,7 @@ typedef struct { #define YEARM 12. /**< Number of months per year */ /* #define AGESUP 130 */ #define AGESUP 150 +#define AGEINF 0 #define AGEMARGE 25 /* Marge for agemin and agemax for(iage=agemin-AGEMARGE; iage <= agemax+3+AGEMARGE; iage++) */ #define AGEBASE 40 #define AGEOVERFLOW 1.e20 @@ -1003,12 +1063,12 @@ typedef struct { #define ODIRSEPARATOR '\\' #endif -/* $Id: imach.c,v 1.267 2017/05/13 10:25:05 brouard Exp $ */ +/* $Id: imach.c,v 1.286 2018/04/27 14:27:04 brouard Exp $ */ /* $State: Exp $ */ #include "version.h" char version[]=__IMACH_VERSION__; -char copyright[]="February 2016,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018"; -char fullversion[]="$Revision: 1.267 $ $Date: 2017/05/13 10:25:05 $"; +char copyright[]="April 2018,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015-2018"; +char fullversion[]="$Revision: 1.286 $ $Date: 2018/04/27 14:27:04 $"; char strstart[80]; char optionfilext[10], optionfilefiname[FILENAMELENGTH]; int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings */ @@ -1080,8 +1140,7 @@ FILE *ficrescveij; char filerescve[FILENAMELENGTH]; FILE *ficresvij; char fileresv[FILENAMELENGTH]; -FILE *ficresvpl; -char fileresvpl[FILENAMELENGTH]; + char title[MAXLINE]; char model[MAXLINE]; /**< The model line */ char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH], filerespl[FILENAMELENGTH], fileresplb[FILENAMELENGTH]; @@ -1179,8 +1238,8 @@ double *agedc; double **covar; /**< covar[j,i], value of jth covariate for individual i, * covar=matrix(0,NCOVMAX,1,n); * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */ -double **coqvar; /* Fixed quantitative covariate iqv */ -double ***cotvar; /* Time varying covariate itv */ +double **coqvar; /* Fixed quantitative covariate nqv */ +double ***cotvar; /* Time varying covariate ntv */ double ***cotqvar; /* Time varying quantitative covariate itqv */ double idx; int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */ @@ -2483,15 +2542,18 @@ void powell(double p[], double **xi, int double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int *ncvyear, int ij, int nres) { - /* Computes the prevalence limit in each live state at age x and for covariate combination ij - (and selected quantitative values in nres) - by left multiplying the unit - matrix by transitions matrix until convergence is reached with precision ftolpl */ - /* Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1 = Wx-n Px-n ... Px-2 Px-1 I */ - /* Wx is row vector: population in state 1, population in state 2, population dead */ - /* or prevalence in state 1, prevalence in state 2, 0 */ - /* newm is the matrix after multiplications, its rows are identical at a factor */ - /* Initial matrix pimij */ + /**< Computes the prevalence limit in each live state at age x and for covariate combination ij + * (and selected quantitative values in nres) + * by left multiplying the unit + * matrix by transitions matrix until convergence is reached with precision ftolpl + * Wx= Wx-1 Px-1= Wx-2 Px-2 Px-1 = Wx-n Px-n ... Px-2 Px-1 I + * Wx is row vector: population in state 1, population in state 2, population dead + * or prevalence in state 1, prevalence in state 2, 0 + * newm is the matrix after multiplications, its rows are identical at a factor. + * Inputs are the parameter, age, a tolerance for the prevalence limit ftolpl. + * Output is prlim. + * Initial matrix pimij + */ /* {0.85204250825084937, 0.13044499163996345, 0.017512500109187184, */ /* 0.090851990222114765, 0.88271245433047185, 0.026435555447413338, */ /* 0, 0 , 1} */ @@ -2742,7 +2804,7 @@ Earliest age to start was %d-%d=%d, ncvl /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, ageminpar, agemaxpar, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */ /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent, dnewm, doldm, dsavm,ij)); /\* Bug Valgrind *\/ */ out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, bmij(pmmij,cov,ncovmodel,x,nlstate,prevacurrent,ij)); /* Bug Valgrind */ - /* if((int)age == 70){ */ + /* if((int)age == 86 || (int)age == 87){ */ /* printf(" Backward prevalim age=%d agefin=%d \n", (int) age, (int) agefin); */ /* for(i=1; i<=nlstate+ndeath; i++) { */ /* printf("%d newm= ",i); */ @@ -2753,7 +2815,7 @@ Earliest age to start was %d-%d=%d, ncvl /* for(j=1;j<=nlstate+ndeath;j++) { */ /* printf("%f ",oldm[i][j]); */ /* } */ - /* printf(" pmmij "); */ + /* printf(" bmmij "); */ /* for(j=1;j<=nlstate+ndeath;j++) { */ /* printf("%f ",pmmij[i][j]); */ /* } */ @@ -2781,9 +2843,9 @@ Earliest age to start was %d-%d=%d, ncvl meandiff[i]=(max[i]-min[i])/(max[i]+min[i])*2.; /* mean difference for each column */ maxmax=FMAX(maxmax,meandiff[i]); /* printf("Back age= %d meandiff[%d]=%f, agefin=%d max[%d]=%f min[%d]=%f maxmax=%f\n", (int)age, i, meandiff[i],(int)agefin, i, max[i], i, min[i],maxmax); */ - } /* j loop */ + } /* i loop */ *ncvyear= -( (int)age- (int)agefin); - /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear);*/ + /* printf("Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */ if(maxmax < ftolpl){ /* printf("OK Back maxmax=%lf ncvloop=%d, age=%d, agefin=%d ncvyear=%d \n", maxmax, ncvloop, (int)age, (int)agefin, *ncvyear); */ free_vector(min,1,nlstate); @@ -2905,7 +2967,7 @@ double **pmij(double **ps, double *cov, double **out, **pmij(); double sumnew=0.; double agefin; - + double k3=0.; /* constant of the w_x diagonal matrixe (in order for B to sum to 1 even for death state) */ double **dnewm, **dsavm, **doldm; double **bbmij; @@ -2914,55 +2976,66 @@ double **pmij(double **ps, double *cov, dsavm=ddsavms; agefin=cov[2]; + /* Bx = Diag(w_x) P_x Diag(Sum_i w^i_x p^ij_x */ /* bmij *//* age is cov[2], ij is included in cov, but we need for the observed prevalence (with this covariate ij) at beginning of transition */ /* dsavm=pmij(pmmij,cov,ncovmodel,x,nlstate); */ + + /* P_x */ pmmij=pmij(pmmij,cov,ncovmodel,x,nlstate); /*This is forward probability from agefin to agefin + stepm */ - /* outputs pmmij which is a stochastic matrix */ - /* We do have the matrix Px in savm and we need pij */ + /* outputs pmmij which is a stochastic matrix in row */ + + /* Diag(w_x) */ + /* Problem with prevacurrent which can be zero */ + sumnew=0.; + /*for (ii=1;ii<=nlstate+ndeath;ii++){*/ + for (ii=1;ii<=nlstate;ii++){ /* Only on live states */ + /* printf(" agefin=%d, ii=%d, ij=%d, prev=%f\n",(int)agefin,ii, ij, prevacurrent[(int)agefin][ii][ij]); */ + sumnew+=prevacurrent[(int)agefin][ii][ij]; + } + if(sumnew >0.01){ /* At least some value in the prevalence */ + for (ii=1;ii<=nlstate+ndeath;ii++){ + for (j=1;j<=nlstate+ndeath;j++) + doldm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij]/sumnew : 0.0); + } + }else{ + for (ii=1;ii<=nlstate+ndeath;ii++){ + for (j=1;j<=nlstate+ndeath;j++) + doldm[ii][j]=(ii==j ? 1./nlstate : 0.0); + } + /* if(sumnew <0.9){ */ + /* printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */ + /* } */ + } + k3=0.0; /* We put the last diagonal to 0 */ + for (ii=nlstate+1;ii<=nlstate+ndeath;ii++){ + doldm[ii][ii]= k3; + } + /* End doldm, At the end doldm is diag[(w_i)] */ + + /* left Product of this diag matrix by pmmij=Px (dnewm=dsavm*doldm) */ + bbmij=matprod2(dnewm, doldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, pmmij); /* Bug Valgrind */ + + /* Diag(Sum_i w^i_x p^ij_x */ + /* w1 p11 + w2 p21 only on live states N1./N..*N11/N1. + N2./N..*N21/N2.=(N11+N21)/N..=N.1/N.. */ for (j=1;j<=nlstate+ndeath;j++){ - sumnew=0.; /* w1 p11 + w2 p21 only on live states N1./N..*N11/N1. + N2./N..*N21/N2.=(N11+N21)/N..=N.1/N.. */ + sumnew=0.; for (ii=1;ii<=nlstate;ii++){ /* sumnew+=dsavm[ii][j]*prevacurrent[(int)agefin][ii][ij]; */ - sumnew+=pmmij[ii][j]*prevacurrent[(int)agefin][ii][ij]; /* Yes prevalence at beginning of transition */ + sumnew+=pmmij[ii][j]*doldm[ii][ii]; /* Yes prevalence at beginning of transition */ } /* sumnew is (N11+N21)/N..= N.1/N.. = sum on i of w_i pij */ - if(sumnew >= 1.e-10){ - for (ii=1;ii<=nlstate+ndeath;ii++){ + for (ii=1;ii<=nlstate+ndeath;ii++){ /* if(agefin >= agemaxpar && agefin <= agemaxpar+stepm/YEARM){ */ - /* doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */ + /* dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */ /* }else if(agefin >= agemaxpar+stepm/YEARM){ */ - /* doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); */ + /* dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); */ /* }else */ - doldm[ii][j]=(ii==j ? 1./sumnew : 0.0); - } /*End ii */ - }else{ /* We put the identity matrix */ - for (ii=1;ii<=nlstate+ndeath;ii++){ - doldm[ii][j]=(ii==j ? 1. : 0.0); - } /*End ii */ - /* printf("Problem internal bmij A: sum_i w_i*p_ij=N.j/N.. <1.e-10 i=%d, j=%d, sumnew=%lf,agefin=%d\n",ii,j,sumnew, (int)agefin); */ - } - } /* End j, At the end doldm is diag[1/(w_1p1i+w_2 p2i)] or identity*/ - /* left Product of this diag matrix by dsavm=Px (dnewm=dsavm*doldm) */ - /* bbmij=matprod2(dnewm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /\* Bug Valgrind *\/ */ - bbmij=matprod2(dnewm, pmmij,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, doldm); /* Bug Valgrind */ - /* dsavm=doldm; /\* dsavm is now diag [1/(w_1p1i+w_2 p2i)] but can be overwritten*\/ */ - /* doldm=dnewm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */ - /* dnewm=dsavm; /\* doldm is now Px * diag [1/(w_1p1i+w_2 p2i)] *\/ */ - /* left Product of this matrix by diag matrix of prevalences (savm) */ - for (j=1;j<=nlstate+ndeath;j++){ - sumnew=0.; - for (ii=1;ii<=nlstate+ndeath;ii++){ - sumnew+=prevacurrent[(int)agefin][ii][ij]; - dsavm[ii][j]=(ii==j ? prevacurrent[(int)agefin][ii][ij] : 0.0); - } - /* if(sumnew <0.9){ */ - /* printf("Problem internal bmij B: sum on i wi <0.9: j=%d, sum_i wi=%lf,agefin=%d\n",j,sumnew, (int)agefin); */ - /* } */ - } /* End j, At the end dsavm is diag[(w_i)] */ - /* What if dsavm doesn't sum ii to 1? */ - /* ps=matprod2(doldm, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /\* Bug Valgrind *\/ */ - ps=matprod2(ps, dsavm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dnewm); /* Bug Valgrind */ - /* newm or out is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */ + dsavm[ii][j]=(ii==j ? 1./sumnew : 0.0); + } /*End ii */ + } /* End j, At the end dsavm is diag[1/(w_1p1i+w_2 p2i)] for ALL states even if the sum is only for live states */ + + ps=matprod2(ps, dnewm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, dsavm); /* Bug Valgrind */ + /* ps is now diag[w_i] * Px * diag [1/(w_1p1i+w_2 p2i)] */ /* end bmij */ return ps; /*pointer is unchanged */ } @@ -3223,7 +3296,7 @@ double ***hbxij(double ***po, int nhstep newm=savm; /* Covariates have to be included here again */ cov[1]=1.; - agexact=age-((h-1)*hstepm + (d))*stepm/YEARM; /* age just before transition, d or d-1? */ + agexact=age-( (h-1)*hstepm + (d) )*stepm/YEARM; /* age just before transition, d or d-1? */ /* agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM; /\* age just before transition *\/ */ cov[2]=agexact; if(nagesqr==1) @@ -3279,11 +3352,12 @@ double ***hbxij(double ***po, int nhstep 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]);*/ + /* if(h==nhstepm) */ + /* printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]); */ } - /*printf("h=%d ",h);*/ + /* printf("h=%d %.1f ",h, agexact); */ } /* end h */ - /* printf("\n H=%d \n",h); */ + /* printf("\n H=%d nhs=%d \n",h, nhstepm); */ return po; } @@ -3738,7 +3812,7 @@ double funcone( double *x) s1=s[mw[mi][i]][i]; s2=s[mw[mi+1][i]][i]; /* if(s2==-1){ */ - /* printf(" s1=%d, s2=%d i=%d \n", s1, s2, i); */ + /* printf(" ERROR s1=%d, s2=%d i=%d \n", s1, s2, i); */ /* /\* exit(1); *\/ */ /* } */ bbh=(double)bh[mi][i]/(double)stepm; @@ -3771,7 +3845,7 @@ double funcone( double *x) fprintf(ficresilk,"%09ld %6.1f %6.1f %6d %2d %2d %2d %2d %3d %15.6f %8.4f %8.3f\ %11.6f %11.6f %11.6f ", \ num[i], agebegin, ageend, i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],weight[i]*gipmx/gsw, - 2*weight[i]*lli,out[s1][s2],savm[s1][s2]); + 2*weight[i]*lli,(s2==-1? -1: out[s1][s2]),(s2==-1? -1: 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); @@ -3824,7 +3898,7 @@ void likelione(FILE *ficres,double p[], else if(mle >=1) fprintf(fichtm,"\n
File of contributions to the likelihood computed with optimized parameters mle = %d.",mle); fprintf(fichtm," You should at least run with mle >= 1 to get starting values corresponding to the optimized parameters in order to visualize the real contribution of each individual/wave: %s
\n",subdirf(fileresilk),subdirf(fileresilk)); - + fprintf(fichtm,"\n
Equation of the model: model=1+age+%s
\n",model); for (k=1; k<= nlstate ; k++) { fprintf(fichtm,"
- Probability p%dj by origin %d and destination j. Dot's sizes are related to corresponding weight: %s-p%dj.png
\ @@ -4291,70 +4365,7 @@ void pstamp(FILE *fichier) fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart); } -int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) { - /* y=a+bx regression */ - double sumx = 0.0; /* sum of x */ - double sumx2 = 0.0; /* sum of x**2 */ - double sumxy = 0.0; /* sum of x * y */ - double sumy = 0.0; /* sum of y */ - double sumy2 = 0.0; /* sum of y**2 */ - double sume2; /* sum of square or residuals */ - double yhat; - - double denom=0; - int i; - int ne=*no; - - for ( i=ifi, ne=0;i<=ila;i++) { - if(!isfinite(x[i]) || !isfinite(y[i])){ - /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ - continue; - } - ne=ne+1; - sumx += x[i]; - sumx2 += x[i]*x[i]; - sumxy += x[i] * y[i]; - sumy += y[i]; - sumy2 += y[i]*y[i]; - denom = (ne * sumx2 - sumx*sumx); - /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ - } - - denom = (ne * sumx2 - sumx*sumx); - if (denom == 0) { - // vertical, slope m is infinity - *b = INFINITY; - *a = 0; - if (r) *r = 0; - return 1; - } - - *b = (ne * sumxy - sumx * sumy) / denom; - *a = (sumy * sumx2 - sumx * sumxy) / denom; - if (r!=NULL) { - *r = (sumxy - sumx * sumy / ne) / /* compute correlation coeff */ - sqrt((sumx2 - sumx*sumx/ne) * - (sumy2 - sumy*sumy/ne)); - } - *no=ne; - for ( i=ifi, ne=0;i<=ila;i++) { - if(!isfinite(x[i]) || !isfinite(y[i])){ - /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ - continue; - } - ne=ne+1; - yhat = y[i] - *a -*b* x[i]; - sume2 += yhat * yhat ; - - denom = (ne * sumx2 - sumx*sumx); - /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ - } - *sb = sqrt(sume2/(ne-2)/(sumx2 - sumx * sumx /ne)); - *sa= *sb * sqrt(sumx2/ne); - - return 0; -} /************ Frequencies ********************/ void freqsummary(char fileres[], double p[], double pstart[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, \ @@ -4367,9 +4378,9 @@ void freqsummary(char fileres[], double int mi; /* Effective wave */ int first; double ***freq; /* Frequencies */ - double *x, *y, a,b,r, sa, sb; /* for regression, y=b+m*x and r is the correlation coefficient */ - int no; - double *meanq; + double *x, *y, a=0.,b=0.,r=1., sa=0., sb=0.; /* for regression, y=b+m*x and r is the correlation coefficient */ + int no=0, linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb); + double *meanq, *stdq, *idq; double **meanqt; double *pp, **prop, *posprop, *pospropt; double pos=0., posproptt=0., pospropta=0., k2, dateintsum=0,k2cpt=0; @@ -4382,6 +4393,8 @@ void freqsummary(char fileres[], double pospropt=vector(1,nlstate); /* Counting the number of transition starting from a live state */ /* prop=matrix(1,nlstate,iagemin,iagemax+3); */ meanq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */ + stdq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */ + idq=vector(1,nqfveff); /* Number of Quantitative Fixed Variables Effective */ meanqt=matrix(1,lastpass,1,nqtveff); strcpy(fileresp,"P_"); strcat(fileresp,fileresu); @@ -4490,13 +4503,16 @@ Title=%s
Datafile=%s Firstpass=%d La posprop[i]=0; pospropt[i]=0; } - /* for (z1=1; z1<= nqfveff; z1++) { */ - /* meanq[z1]+=0.; */ + for (z1=1; z1<= nqfveff; z1++) { /* zeroing for each combination j1 as well as for the total */ + idq[z1]=0.; + meanq[z1]=0.; + stdq[z1]=0.; + } + /* for (z1=1; z1<= nqtveff; z1++) { */ /* for(m=1;m<=lastpass;m++){ */ - /* meanqt[m][z1]=0.; */ - /* } */ - /* } */ - + /* meanqt[m][z1]=0.; */ + /* } */ + /* } */ /* dateintsum=0; */ /* k2cpt=0; */ @@ -4506,9 +4522,6 @@ Title=%s
Datafile=%s Firstpass=%d La if(j !=0){ if(anyvaryingduminmodel==0){ /* If All fixed covariates */ if (cptcoveff >0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */ - /* for (z1=1; z1<= nqfveff; z1++) { */ - /* meanq[z1]+=coqvar[Tvar[z1]][iind]; /\* Computes mean of quantitative with selected filter *\/ */ - /* } */ for (z1=1; z1<=cptcoveff; z1++) { /* loops on covariates in the model */ /* if(Tvaraff[z1] ==-20){ */ /* /\* sumnew+=cotvar[mw[mi][iind]][z1][iind]; *\/ */ @@ -4529,7 +4542,7 @@ Title=%s
Datafile=%s Firstpass=%d La }/* end j==0 */ if (bool==1){ /* We selected an individual iind satisfying combination j1 (V4=1 V3=0) or all fixed covariates */ /* for(m=firstpass; m<=lastpass; m++){ */ - for(mi=1; miDatafile=%s Firstpass=%d La }/* Some are varying covariates, we tried to speed up if all fixed covariates in the model, avoiding waves loop */ } /* end j==0 */ /* bool =0 we keep that guy which corresponds to the combination of dummy values */ - if(bool==1){ + if(bool==1){ /*Selected */ /* dh[m][iind] or dh[mw[mi][iind]][iind] is the delay between two effective (mi) waves m=mw[mi][iind] and mw[mi+1][iind]. dh depends on stepm. */ agebegin=agev[m][iind]; /* Age at beginning of wave before transition*/ @@ -4567,6 +4580,11 @@ Title=%s
Datafile=%s Firstpass=%d La if(s[m][iind]==-1) printf(" num=%ld m=%d, iind=%d s1=%d s2=%d agev at m=%d agebegin=%.2f ageend=%.2f, agemed=%d\n", num[iind], m, iind,s[m][iind],s[m+1][iind], (int)agev[m][iind],agebegin, ageend, (int)((agebegin+ageend)/2.)); freq[s[m][iind]][s[m+1][iind]][(int)agev[m][iind]] += weight[iind]; /* At age of beginning of transition, where status is known */ + for (z1=1; z1<= nqfveff; z1++) { /* Quantitative variables, calculating mean */ + idq[z1]=idq[z1]+weight[iind]; + meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind]; /* Computes mean of quantitative with selected filter */ + stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /* *weight[iind];*/ /* Computes mean of quantitative with selected filter */ + } /* if((int)agev[m][iind] == 55) */ /* printf("j=%d, j1=%d Age %d, iind=%d, num=%09ld m=%d\n",j,j1,(int)agev[m][iind],iind, num[iind],m); */ /* freq[s[m][iind]][s[m+1][iind]][(int)((agebegin+ageend)/2.)] += weight[iind]; */ @@ -4582,6 +4600,11 @@ Title=%s
Datafile=%s Firstpass=%d La bool=1; }/* end bool 2 */ } /* end m */ + /* for (z1=1; z1<= nqfveff; z1++) { /\* Quantitative variables, calculating mean *\/ */ + /* idq[z1]=idq[z1]+weight[iind]; */ + /* meanq[z1]+=covar[ncovcol+z1][iind]*weight[iind]; /\* Computes mean of quantitative with selected filter *\/ */ + /* stdq[z1]+=covar[ncovcol+z1][iind]*covar[ncovcol+z1][iind]*weight[iind]*weight[iind]; /\* *weight[iind];*\/ /\* Computes mean of quantitative with selected filter *\/ */ + /* } */ } /* end bool */ } /* end iind = 1 to imx */ /* prop[s][age] is feeded for any initial and valid live state as well as @@ -4619,6 +4642,27 @@ Title=%s
Datafile=%s Firstpass=%d La fprintf(ficresphtmfr, "**********\n"); fprintf(ficlog, "**********\n"); } + /* + Printing means of quantitative variables if any + */ + for (z1=1; z1<= nqfveff; z1++) { + fprintf(ficlog,"Mean of fixed quantitative variable V%d on %.0f individuals sum=%f", ncovcol+z1, idq[z1], meanq[z1]); + fprintf(ficlog,", mean=%.3g\n",meanq[z1]/idq[z1]); + if(weightopt==1){ + printf(" Weighted mean and standard deviation of"); + fprintf(ficlog," Weighted mean and standard deviation of"); + fprintf(ficresphtmfr," Weighted mean and standard deviation of"); + } + printf(" fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1])); + fprintf(ficlog," fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1])); + fprintf(ficresphtmfr," fixed quantitative variable V%d on %.0f representatives of the population : %6.3g (%6.3g)

\n", ncovcol+z1, idq[z1],meanq[z1]/idq[z1], sqrt((stdq[z1]-meanq[z1]*meanq[z1]/idq[z1])/idq[z1])); + } + /* for (z1=1; z1<= nqtveff; z1++) { */ + /* for(m=1;m<=lastpass;m++){ */ + /* fprintf(ficresphtmfr,"V quantitative id %d, pass id=%d, mean=%f

\n", z1, m, meanqt[m][z1]); */ + /* } */ + /* } */ + fprintf(ficresphtm,""); if((cptcoveff==0 && nj==1)|| nj==2 ) /* no covariate and first pass */ fprintf(ficresp, " Age"); @@ -4806,6 +4850,8 @@ Title=%s
Datafile=%s Firstpass=%d La y[iage]= log(freq[i][k][iage]/freq[i][i][iage]); /* printf("i=%d, k=%d, s1=%d, j1=%d, jj=%d, y[%d]=%f\n",i,k,s1,j1,jj, iage, y[iage]); */ } + /* Some are not finite, but linreg will ignore these ages */ + no=0; linreg(iagemin,iagemax,&no,x,y,&a,&b,&r, &sa, &sb ); /* y= a+b*x with standard errors */ pstart[s1]=b; pstart[s1-1]=a; @@ -4851,7 +4897,7 @@ Title=%s
Datafile=%s Firstpass=%d La fprintf(ficlog,"\n"); } } - } + } /* end of state i */ printf("#Freqsummary\n"); fprintf(ficlog,"\n"); for(s1=-1; s1 <=nlstate+ndeath; s1++){ @@ -4897,7 +4943,9 @@ Title=%s
Datafile=%s Firstpass=%d La fclose(ficresp); fclose(ficresphtm); fclose(ficresphtmfr); + free_vector(idq,1,nqfveff); free_vector(meanq,1,nqfveff); + free_vector(stdq,1,nqfveff); free_matrix(meanqt,1,lastpass,1,nqtveff); free_vector(x, iagemin-AGEMARGE, iagemax+4+AGEMARGE); free_vector(y, iagemin-AGEMARGE, iagemax+4+AGEMARGE); @@ -4909,6 +4957,72 @@ Title=%s
Datafile=%s Firstpass=%d La /* End of freqsummary */ } +/* Simple linear regression */ +int linreg(int ifi, int ila, int *no, const double x[], const double y[], double* a, double* b, double* r, double* sa, double * sb) { + + /* y=a+bx regression */ + double sumx = 0.0; /* sum of x */ + double sumx2 = 0.0; /* sum of x**2 */ + double sumxy = 0.0; /* sum of x * y */ + double sumy = 0.0; /* sum of y */ + double sumy2 = 0.0; /* sum of y**2 */ + double sume2 = 0.0; /* sum of square or residuals */ + double yhat; + + double denom=0; + int i; + int ne=*no; + + for ( i=ifi, ne=0;i<=ila;i++) { + if(!isfinite(x[i]) || !isfinite(y[i])){ + /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ + continue; + } + ne=ne+1; + sumx += x[i]; + sumx2 += x[i]*x[i]; + sumxy += x[i] * y[i]; + sumy += y[i]; + sumy2 += y[i]*y[i]; + denom = (ne * sumx2 - sumx*sumx); + /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ + } + + denom = (ne * sumx2 - sumx*sumx); + if (denom == 0) { + // vertical, slope m is infinity + *b = INFINITY; + *a = 0; + if (r) *r = 0; + return 1; + } + + *b = (ne * sumxy - sumx * sumy) / denom; + *a = (sumy * sumx2 - sumx * sumxy) / denom; + if (r!=NULL) { + *r = (sumxy - sumx * sumy / ne) / /* compute correlation coeff */ + sqrt((sumx2 - sumx*sumx/ne) * + (sumy2 - sumy*sumy/ne)); + } + *no=ne; + for ( i=ifi, ne=0;i<=ila;i++) { + if(!isfinite(x[i]) || !isfinite(y[i])){ + /* printf(" x[%d]=%f, y[%d]=%f\n",i,x[i],i,y[i]); */ + continue; + } + ne=ne+1; + yhat = y[i] - *a -*b* x[i]; + sume2 += yhat * yhat ; + + denom = (ne * sumx2 - sumx*sumx); + /* printf("ne=%d, i=%d,x[%d]=%f, y[%d]=%f sumx=%f, sumx2=%f, sumxy=%f, sumy=%f, sumy2=%f, denom=%f\n",ne,i,i,x[i],i,y[i], sumx, sumx2,sumxy, sumy, sumy2,denom); */ + } + *sb = sqrt(sume2/(double)(ne-2)/(sumx2 - sumx * sumx /(double)ne)); + *sa= *sb * sqrt(sumx2/ne); + + return 0; +} + /************ 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) { @@ -5247,6 +5361,9 @@ void concatwav(int wav[], int **dh, int /* *cptcov=0; */ for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */ + for (k=1; k <= maxncov; k++) + for(j=1; j<=2; j++) + nbcode[k][j]=0; /* Valgrind */ /* Loop on covariates without age and products and no quantitative variable */ /* for (j=1; j<=(cptcovs); j++) { /\* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only *\/ */ @@ -5441,7 +5558,7 @@ void concatwav(int wav[], int **dh, int /* 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 + Look at hpijx to understand the reason which relies in memory size consideration 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 @@ -5672,7 +5789,8 @@ void concatwav(int wav[], int **dh, int /* 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]);*/ } - + + /* Standard deviation of expectancies ij */ fprintf(ficresstdeij,"%3.0f",age ); for(i=1; i<=nlstate;i++){ eip=0.; @@ -5687,6 +5805,7 @@ void concatwav(int wav[], int **dh, int } fprintf(ficresstdeij,"\n"); + /* Variance of expectancies ij */ fprintf(ficrescveij,"%3.0f",age ); for(i=1; i<=nlstate;i++) for(j=1; j<=nlstate;j++){ @@ -5720,10 +5839,11 @@ void concatwav(int wav[], int **dh, int /************ 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 *ncvyearp, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[], int nres) { - /* Variance of health expectancies */ - /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/ - /* double **newm;*/ - /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/ + /** Variance of health expectancies + * double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl); + * double **newm; + * int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav) + */ /* int movingaverage(); */ double **dnewm,**doldm; @@ -5731,11 +5851,11 @@ void concatwav(int wav[], int **dh, int int i, j, nhstepm, hstepm, h, nstepm ; int k; 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 **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; */ @@ -5796,7 +5916,7 @@ void concatwav(int wav[], int **dh, int /* fprintf(fichtm, "#Local time at start: %s", strstart);*/ fprintf(fichtm,"\n

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

    • \n"); fprintf(fichtm,"\n
    %s
    \n",digitp); - /* } */ + 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 "); @@ -5851,9 +5971,12 @@ void concatwav(int wav[], int **dh, int for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/ xp[i] = x[i] + (i==theta ?delti[theta]:0); } - + /**< Computes the prevalence limit with parameter theta shifted of delta up to ftolpl precision and + * returns into prlim . + */ prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ncvyearp,ij, nres); - + + /* If popbased = 1 we use crossection prevalences. Previous step is useless but prlim is created */ if (popbased==1) { if(mobilav ==0){ for(i=1; i<=nlstate;i++) @@ -5863,23 +5986,28 @@ void concatwav(int wav[], int **dh, int prlim[i][i]=mobaverage[(int)age][i][ij]; } } - - hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres); /* Returns p3mat[i][j][h] for h=1 to nhstepm */ + /**< Computes the shifted transition matrix \f$ {}{h}_p^{ij}_x\f$ at horizon h. + */ + hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij,nres); /* Returns p3mat[i][j][h] for h=0 to nhstepm */ + /**< And for each alive state j, sums over i \f$ w^i_x {}{h}_p^{ij}_x\f$, which are the probability + * at horizon h in state j including mortality. + */ 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]; } } - /* Next for computing probability of death (h=1 means + /* Next for computing shifted+ probability of death (h=1 means computed over hstepm matrices product = hstepm*stepm months) - as a weighted average of prlim. + as a weighted average of prlim(i) * p(i,j) p.3=w1*p13 + w2*p23 . */ 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 */ + } + + /* Again with minus shift */ for(i=1; i<=npar; i++) /* Computes gradient x - delta */ xp[i] = x[i] - (i==theta ?delti[theta]:0); @@ -5912,19 +6040,23 @@ void concatwav(int wav[], int **dh, int for(i=1,gmp[j]=0.; i<= nlstate; i++) gmp[j] += prlim[i][i]*p3mat[i][j][1]; } - /* end probability of death */ - + /* end shifting computations */ + + /**< Computing gradient matrix at horizon h + */ 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 */ + /**< Gradient of overall mortality p.3 (or p.j) + */ + for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu mortality from j */ gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta]; } } /* End theta */ - + + /* We got the gradient matrix for each theta and state j */ trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */ for(h=0; h<=nhstepm; h++) /* veij */ @@ -5935,13 +6067,19 @@ void concatwav(int wav[], int **dh, int for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */ for(theta=1; theta <=npar; theta++) trgradgp[j][theta]=gradgp[theta][j]; - + /**< as well as its transposed matrix + */ 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.; - + + /* Computing trgradg by matcov by gradg at age and summing over h + * and k (nhstepm) formula 15 of article + * Lievre-Brouard-Heathcote + */ + for(h=0;h<=nhstepm;h++){ for(k=0;k<=nhstepm;k++){ matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov); @@ -5952,7 +6090,11 @@ void concatwav(int wav[], int **dh, int } } - /* pptj */ + /* pptj is p.3 or p.j = trgradgp by cov by gradgp, variance of + * p.j overall mortality formula 49 but computed directly because + * we compute the grad (wix pijx) instead of grad (pijx),even if + * wix is independent of theta. + */ 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++) @@ -6040,12 +6182,12 @@ void concatwav(int wav[], int **dh, int } /* 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 *ncvyearp, int ij, char strstart[], int nres) + void varprevlim(char fileresvpl[], FILE *ficresvpl, double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int *ncvyearp, int ij, char strstart[], int nres) { /* Variance of prevalence limit for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/ /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/ - double **dnewm,**doldm; + double **dnewmpar,**doldm; int i, j, nhstepm, hstepm; double *xp; double *gp, *gm; @@ -6064,7 +6206,7 @@ void concatwav(int wav[], int **dh, int fprintf(ficresvpl,"\n"); xp=vector(1,npar); - dnewm=matrix(1,nlstate,1,npar); + dnewmpar=matrix(1,nlstate,1,npar); doldm=matrix(1,nlstate,1,nlstate); hstepm=1*YEARM; /* Every year of age */ @@ -6134,11 +6276,11 @@ void concatwav(int wav[], int **dh, int for(i=1;i<=nlstate;i++) varpl[i][(int)age] =0.; if((int)age==79 ||(int)age== 80 ||(int)age== 81){ - matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg); + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); }else{ - matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov); - matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg); + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); } for(i=1;i<=nlstate;i++) varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */ @@ -6159,40 +6301,165 @@ void concatwav(int wav[], int **dh, int free_vector(xp,1,npar); free_matrix(doldm,1,nlstate,1,npar); - free_matrix(dnewm,1,nlstate,1,nlstate); + free_matrix(dnewmpar,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, k1, l1, tj; - int k2, l2, j1, z1; - int k=0, l; - int first=1, first1, first2; - double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp; - double **dnewm,**doldm; - double *xp; - double *gp, *gm; - double **gradg, **trgradg; - double **mu; - double age, cov[NCOVMAX+1]; - 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,fileresu); - if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) { +/************ Variance of backprevalence limit ******************/ + void varbrevlim(char fileresvbl[], FILE *ficresvbl, double **varbpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **bprlim, double ftolpl, int mobilavproj, int *ncvyearp, int ij, char strstart[], int nres) +{ + /* Variance of backward prevalence limit for each state ij using current parameters x[] and estimates of neighbourhood give by delti*/ + /* double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/ + + double **dnewmpar,**doldm; + int i, j, nhstepm, hstepm; + double *xp; + double *gp, *gm; + double **gradg, **trgradg; + double **mgm, **mgp; + double age,agelim; + int theta; + + pstamp(ficresvbl); + fprintf(ficresvbl,"# Standard deviation of back (stable) prevalences \n"); + fprintf(ficresvbl,"# Age "); + if(nresult >=1) + fprintf(ficresvbl," Result# "); + for(i=1; i<=nlstate;i++) + fprintf(ficresvbl," %1d-%1d",i,i); + fprintf(ficresvbl,"\n"); + + xp=vector(1,npar); + dnewmpar=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 = AGEINF; + for (age=fage; age>=bage; age --){ /* If stepm=6 months */ + nhstepm=(int) rint((age-agelim)*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); + mgp=matrix(1,npar,1,nlstate); + mgm=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); + } + if(mobilavproj > 0 ) + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + else + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ + gp[i] = bprlim[i][i]; + mgp[theta][i] = bprlim[i][i]; + } + for(i=1; i<=npar; i++) /* Computes gradient */ + xp[i] = x[i] - (i==theta ?delti[theta]:0); + if(mobilavproj > 0 ) + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + else + bprevalim(bprlim, mobaverage,nlstate,xp,age,ftolpl,ncvyearp,ij,nres); + for(i=1;i<=nlstate;i++){ + gm[i] = bprlim[i][i]; + mgm[theta][i] = bprlim[i][i]; + } + for(i=1;i<=nlstate;i++) + gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta]; + /* gradg[theta][2]= -gradg[theta][1]; */ /* For testing if nlstate=2 */ + } /* End theta */ + + trgradg =matrix(1,nlstate,1,npar); + + for(j=1; j<=nlstate;j++) + for(theta=1; theta <=npar; theta++) + trgradg[j][theta]=gradg[theta][j]; + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\nmgm mgp %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf(" %d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf(" %d %lf %lf",theta,mgm[theta][j],mgp[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ + /* if((int)age==79 ||(int)age== 80 ||(int)age== 81 ){ */ + /* printf("\n gradg %d ",(int)age); */ + /* for(j=1; j<=nlstate;j++){ */ + /* printf("%d ",j); */ + /* for(theta=1; theta <=npar; theta++) */ + /* printf("%d %lf ",theta,gradg[theta][j]); */ + /* printf("\n "); */ + /* } */ + /* } */ + + for(i=1;i<=nlstate;i++) + varbpl[i][(int)age] =0.; + if((int)age==79 ||(int)age== 80 ||(int)age== 81){ + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); + }else{ + matprod2(dnewmpar,trgradg,1,nlstate,1,npar,1,npar,matcov); + matprod2(doldm,dnewmpar,1,nlstate,1,npar,1,nlstate,gradg); + } + for(i=1;i<=nlstate;i++) + varbpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */ + + fprintf(ficresvbl,"%.0f ",age ); + if(nresult >=1) + fprintf(ficresvbl,"%d ",nres ); + for(i=1; i<=nlstate;i++) + fprintf(ficresvbl," %.5f (%.5f)",bprlim[i][i],sqrt(varbpl[i][(int)age])); + fprintf(ficresvbl,"\n"); + free_vector(gp,1,nlstate); + free_vector(gm,1,nlstate); + free_matrix(mgm,1,npar,1,nlstate); + free_matrix(mgp,1,npar,1,nlstate); + free_matrix(gradg,1,npar,1,nlstate); + free_matrix(trgradg,1,nlstate,1,npar); + } /* End age */ + + free_vector(xp,1,npar); + free_matrix(doldm,1,nlstate,1,npar); + free_matrix(dnewmpar,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, k1, l1, tj; + int k2, l2, j1, z1; + int k=0, l; + int first=1, first1, first2; + double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp; + double **dnewm,**doldm; + double *xp; + double *gp, *gm; + double **gradg, **trgradg; + double **mu; + double age, cov[NCOVMAX+1]; + 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,fileresu); + if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) { printf("Problem with resultfile: %s\n", fileresprobcov); fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov); } @@ -6436,7 +6703,12 @@ To be simple, these graphs help to under } /* Eigen vectors */ - v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12)); + if(1+(v1-lc1)*(v1-lc1)/cv12/cv12 <1.e-5){ + printf(" Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12); + fprintf(ficlog," Error sqrt of a negative number: %lf\n",1+(v1-lc1)*(v1-lc1)/cv12/cv12); + v11=(1./sqrt(fabs(1+(v1-lc1)*(v1-lc1)/cv12/cv12))); + }else + v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12)); /*v21=sqrt(1.-v11*v11); *//* error */ v21=(lc1-v1)/cv12*v11; v12=-v21; @@ -6467,8 +6739,8 @@ To be simple, these graphs help to under 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(fabs(lc2)), \ - mu2,std,v21,sqrt(lc1),v22,sqrt(fabs(lc2))); /* For gnuplot only */ + mu1,std,v11,sqrt(fabs(lc1)),v12,sqrt(fabs(lc2)), \ + mu2,std,v21,sqrt(fabs(lc1)),v22,sqrt(fabs(lc2))); /* For gnuplot only */ }else{ first=0; fprintf(fichtmcov," %d (%.3f),",(int) age, c12); @@ -6505,8 +6777,8 @@ void printinghtml(char fileresu[], char int lastpass, int stepm, int weightopt, char model[],\ int imx,int jmin, int jmax, double jmeanint,char rfileres[],\ int popforecast, int mobilav, int prevfcast, int mobilavproj, int backcast, int estepm , \ - double jprev1, double mprev1,double anprev1, double dateprev1, \ - double jprev2, double mprev2,double anprev2, double dateprev2){ + double jprev1, double mprev1,double anprev1, double dateprev1, double dateproj1, double dateback1, \ + double jprev2, double mprev2,double anprev2, double dateprev2, double dateproj2, double dateback2){ int jj1, k1, i1, cpt, k4, nres; fprintf(fichtm,"