--- imach/src/imach.c 2002/06/26 23:25:02 1.50
+++ imach/src/imach.c 2002/07/19 12:22:25 1.51
@@ -1,4 +1,4 @@
-/* $Id: imach.c,v 1.50 2002/06/26 23:25:02 brouard Exp $
+/* $Id: imach.c,v 1.51 2002/07/19 12:22:25 brouard Exp $
Interpolated Markov Chain
Short summary of the programme:
@@ -2154,7 +2154,7 @@ void varprob(char optionfilefiname[], do
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;
+ double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
double **dnewm,**doldm;
double *xp;
double *gp, *gm;
@@ -2378,15 +2378,15 @@ void varprob(char optionfilefiname[], do
/* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
first1=1;
- for (k1=1; k1<=(nlstate);k1++){
- for (l1=1; l1<=(nlstate+ndeath);l1++){
- if(l1==k1) continue;
- i=(k1-1)*(nlstate+ndeath)+l1;
- for (k2=1; k2<=(nlstate);k2++){
- for (l2=1; l2<=(nlstate+ndeath);l2++){
- if(l2==k2) continue;
- j=(k2-1)*(nlstate+ndeath)+l2;
- if(j<=i) continue;
+ 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;
@@ -2394,55 +2394,49 @@ void varprob(char optionfilefiname[], do
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));
- lc2=(v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12));
- if(first1==1){
- first1=0;
- printf("Var %.4e %.4e cov %.4e Eigen %.3e %.3e\nOthers in log...\n",v1,v2,cv12,lc1,lc2);
- }
- fprintf(ficlog,"Var %.4e %.4e cov %.4e Eigen %.3e %.3e\n",v1,v2,cv12,lc1,lc2);
+ 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.;
/* Eigen vectors */
v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
- v21=sqrt(1.-v11*v11);
+ /*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 + v21*lc2*sin(t) */
+ /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
if(first==1){
first=0;
- fprintf(ficgp,"\nset parametric;set nolabel");
- fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k2,l2,k1,l1);
+ 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(fichtm,"\n
Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year-1 :varpijgr%s%d%1d%1d-%1d%1d.png, ",k2,l2,k1,l1,optionfilefiname, j1,k2,l2,k1,l1,optionfilefiname, j1,k2,l2,k1,l1);
- fprintf(fichtm,"\n
",optionfilefiname, j1,k2,l2,k1,l1);
- fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k2,l2,k1,l1);
- fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);
- fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);
- /* 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)) t \"%d\"",\
- mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \
- mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);
- */
- 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",\
- mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \
- mu1,std,v11,sqrt(lc1),v12,sqrt(lc2));
+ fprintf(fichtm,"\n
Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year-1 :varpijgr%s%d%1d%1d-%1d%1d.png, ",k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2);
+ fprintf(fichtm,"\n
",optionfilefiname, j1,k1,l1,k2,l2);
+ fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, 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(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);
- fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);
- /*
- 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)) t \"%d\"",\
- mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \
- mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);
- */
- 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",\
- mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \
- mu1,std,v11,sqrt(lc1),v12,sqrt(lc2));
+ 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 \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k2,l2,k1,l1);
+ fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k1,l1,k2,l2);
first=1;
} /*l12 */
} /* k12 */