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updategamma_indi_1.cpp
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updategamma_indi_1.cpp
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#include <Rcpp.h>
#include <R_ext/Utils.h>
#include <stdlib.h>
using namespace std;
void updategamma_indi_1(vector<int>& xn_s,vector<int>& xn_u, vector<int>& gamma_tt, int xI, int xK, int xM, int K1,
vector<double>& xalphau, vector<double>& xalphas, double xa, double xb, Rcpp::IntegerVector& xmk, int& xIstar, int& xmKstar,
Rcpp::NumericVector& xpp, double xpb1, double xpb2, double xlambda, double xbeta, double xalpha, vector<double>& xmu_s,
vector<double>& xmu_u, Rcpp::IntegerMatrix& xd, Rcpp::NumericMatrix& xybar_s, Rcpp::NumericMatrix& xybar_u,
Rcpp::NumericMatrix& pt1, Rcpp::NumericMatrix& pt2,Rcpp::NumericMatrix& pt3, Rcpp::IntegerMatrix& xindicator, vector<int>& xAg,
double ab, double abI, double bI)
{
vector<int> gamma_old(xK);
int mik[K1]; int temp=0;
int nik = 0; double test=0.;
for (int i = 0; i < xI; i++) {
for (int j = 0; j < xK; j++) {
gamma_old[j] = gamma_tt[xI*j+i];
}
for (int ss = 0; ss < K1; ss++) { //for each category <=K1
if (xindicator(i,ss) ==1) {
/* propose */
gamma_tt[xI*ss+i] = 1-gamma_tt[xI*ss+i];
int miKstar = xmKstar;
int Iistar = xIstar;
int flag =0; int flag_old = 0;
int lplace0_new = 0; int lplace0 = 0;
double log_likeli_deno = 0.; double log_likeli_nume = 0.0;
for (int j = 0; j < K1; j++) {
temp = xI*j+i;
mik[j] = xmk[j]-gamma_old[j];
flag +=gamma_old[j];
log_likeli_deno+=gamma_old[j]*(log(mik[j]+xa)-log(abI-1))+(1-gamma_old[j])*(log(bI-mik[j]-1)-log(abI-1));
log_likeli_nume += gamma_tt[temp]*(log(mik[j]+xa)-log(abI-1))+(1-gamma_tt[temp])*(log(bI-mik[0]-1)-log(abI-1));
if (gamma_tt[temp] == 0) { lplace0_new +=1;}
if (gamma_old[j] == 0){ lplace0 += 1;}
}
if (flag >1 ) {//*
Iistar = xIstar-1;
miKstar = xmKstar-gamma_old[K1];
flag_old = 1;
}
double log_probK =log(miKstar+xa)-log(Iistar+ab);
double log_1probK = log(Iistar-miKstar+xb)-log(Iistar+ab);
if(flag_old == 1) {
log_likeli_deno+=gamma_old[K1]*(log_probK)+(1-gamma_old[K1])*(log_1probK);
}
int lplace1_new = K1-lplace0_new;
int lplace1 = K1-lplace0;
int flag_prop = 0; temp = xI*K1+i;
if (lplace1_new == 1) { //*
gamma_tt[i+xI*K1] = 1;
lplace1_new +=1;
} else if (lplace1_new == 0) {
gamma_tt[i+xI*K1] = 0;
lplace0_new += 1;
}else {
flag_prop = 1;
if (gamma_tt[xI*K1+i] == 1) {
lplace1_new +=1;
} else {
lplace0_new += 1;
}
}
if ( lplace1 == 1) { //*
lplace1 +=1;
} else if (lplace1 == 0) {
lplace0+= 1;
} else {
if (gamma_old[K1] == 1) {
lplace1 +=1;
} else {
lplace0 += 1;
}
}
int place0_new[lplace0_new];
int place0[lplace0];
int place1[lplace1];
int flag0 = 0; int flag1 = 0;
int flag0_old = 0; int flag1_old = 0;
int place1_new[lplace1_new];
for (int k= 0; k < xK; k++) {
if (gamma_tt[xI*k+i] == 0) {
place0_new[flag0] = k;
flag0 += 1;
} else {
place1_new[flag1] = k;
flag1 += 1;
}
if (gamma_old[k] == 0) {
place0[flag0_old] = k;
flag0_old += 1;
} else{
place1[flag1_old] = k;
flag1_old +=1;
}
}
if (lplace1_new == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for ( int k = 0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp]+xn_s[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
}
log_likeli_nume +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
//L0ik
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)/(2*(xlambda+1/nik))+
0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test1 = "<< test << std::endl; //
log_likeli_nume += test;
}
}
}
}
} else if (lplace0_new == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
for ( int k=0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
sum_gammaln +=lgamma(xalphas[k]);
sum_alphas +=xalphas[k];
sum_gammaln_ns += (lgamma(xalphas[k] + xn_s[temp]));
sum_alphas_ns += (xalphas[k]+xn_s[temp]);
}
log_likeli_nume +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
log_likeli_nume -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_nume +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test2 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test3 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test4 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}
}
} else {
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
double sum_alphau_nu = 0.0;
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace1_new; k++) {
sum_alphau_nu +=(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]);
sum_alphau_nus+=(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]+xn_s[i+xI*place1_new[k]]);
sum_gammaln_nu +=lgamma(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]);
sum_gammaln +=lgamma(xalphas[place1_new[k]]);
sum_alphas +=xalphas[place1_new[k]];
sum_gammaln_ns += (lgamma(xalphas[place1_new[k]] + xn_s[i+xI*place1_new[k]]));
sum_alphas_ns += (xalphas[place1_new[k]]+xn_s[i+xI*place1_new[k]]);
}
log_likeli_nume -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_nume +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
log_likeli_nume += (sum_gammaln_nu-lgamma(sum_alphau_nu));
log_likeli_nume +=lgamma(sum_alphau_nus+1);
sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace0_new; k++) {
sum_alphau_nus+=(xalphau[place0_new[k]]+xn_u[i+xI*place0_new[k]]+xn_s[i+xI*place0_new[k]]);
sum_gammaln_nu +=lgamma(xalphau[place0_new[k]]+xn_u[i+xI*place0_new[k]]+xn_s[i+xI*place0_new[k]]);
}
log_likeli_nume +=sum_gammaln_nu;
log_likeli_nume -=lgamma(sum_alphau_nus+1);
for (int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if(gamma_tt[xI*k+i]==1) {
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test5 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test6 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test7 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}
}else{
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)
/(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)-
0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test8 = "<< test << std::endl;//
log_likeli_nume +=test;
}
}
}
}
}
}
//
if (lplace1 == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for ( int k = 0; k<xK; k ++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp]+xn_s[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
}
log_likeli_deno +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)/
(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)
-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test9 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
} else if (lplace0 == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
for ( int k=0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
sum_gammaln +=lgamma(xalphas[k]);
sum_alphas +=xalphas[k];
sum_gammaln_ns += (lgamma(xalphas[k] + xn_s[temp]));
sum_alphas_ns += (xalphas[k]+xn_s[temp]);
}
log_likeli_deno +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
log_likeli_deno -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_deno +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test10 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test11 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test12 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
} else {
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
double sum_alphau_nu = 0.0;
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace1; k++) {
sum_alphau_nu +=(xalphau[place1[k]]+xn_u[i+xI*place1[k]]);
sum_alphau_nus+=(xalphau[place1[k]]+xn_u[i+xI*place1[k]]+xn_s[i+xI*place1[k]]);
sum_gammaln_nu +=lgamma(xalphau[place1[k]]+xn_u[i+xI*place1[k]]);
sum_gammaln +=lgamma(xalphas[place1[k]]);
sum_alphas +=xalphas[place1[k]];
sum_gammaln_ns += (lgamma(xalphas[place1[k]] + xn_s[i+xI*place1[k]]));
sum_alphas_ns += (xalphas[place1[k]]+xn_s[i+xI*place1[k]]);
}
log_likeli_deno -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_deno +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
log_likeli_deno += (sum_gammaln_nu-lgamma(sum_alphau_nu));
log_likeli_deno +=lgamma(sum_alphau_nus+1);
sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace0; k++) {
sum_alphau_nus+=(xalphau[place0[k]]+xn_u[i+xI*place0[k]]+xn_s[i+xI*place0[k]]);
sum_gammaln_nu +=lgamma(xalphau[place0[k]]+xn_u[i+xI*place0[k]]+xn_s[i+xI*place0[k]]);
}
log_likeli_deno +=sum_gammaln_nu;
log_likeli_deno -=lgamma(sum_alphau_nus+1);
for (int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if(gamma_old[k]==1) {
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test13 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test14 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test15 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}
}else{
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)
/(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)
-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test16 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
}
}
if (log(Rcpp::as<double>(Rcpp::runif(1)) ) <= (log_likeli_nume - log_likeli_deno)) {
xmk[ss] = xmk[ss]-gamma_old[ss]+gamma_tt[xI*ss+i];
gamma_old[ss] = gamma_tt[xI*ss+i];
gamma_old[K1] = gamma_tt[xI*K1+i];
xIstar = Iistar+flag_prop;
xmKstar = miKstar+flag_prop*gamma_tt[xI*K1+i];
xAg[i] = 1;
} else {
xAg[i] = 0;
gamma_tt[xI*ss+i] = gamma_old[ss];
gamma_tt[xI*K1+i] = gamma_old[K1];
}
}
}
int miKstar = xmKstar;
int Iistar = xIstar;
int flag =0; int flag_old = 0;
double log_likeli_deno = 0.; double log_likeli_nume = 0.; int lplace0_new = 0; int lplace0 = 0;
for (int j = 0; j < K1; j++) {
temp = xI*j+i;
mik[j] = xmk[j]-gamma_old[j];
flag +=gamma_tt[xI*j+i];
log_likeli_deno+=gamma_old[j]*(log(mik[j]+xa)-log(abI-1))+(1-gamma_old[j])*(log(bI-mik[j]-1)-log(abI-1));
log_likeli_nume += gamma_tt[temp]*(log(mik[j]+xa)-log(abI-1))+(1-gamma_tt[temp])*(log(bI-mik[0]-1)-log(abI-1));
if (gamma_tt[temp] == 0) { lplace0_new +=1;}
if (gamma_old[j] == 0){ lplace0 += 1;}
}
if (flag >1 ) {//*
Iistar = xIstar-1;
miKstar = xmKstar-gamma_old[K1];
flag_old = 1;
}
double log_probK =log(miKstar+xa)-log(Iistar+ab);
double log_1probK = log(Iistar-miKstar+xb)-log(Iistar+ab);
if(flag_old == 1) {
log_likeli_deno+=gamma_old[K1]*(log_probK)+(1-gamma_old[K1])*(log_1probK);
}
int lplace1_new = K1-lplace0_new;
int lplace1 = K1-lplace0;
int flag_prop = 0; temp = xI*K1+i;
if (lplace1_new >1){
flag_prop = 1;
gamma_tt[i+xI*K1] = 1-gamma_tt[i+xI*K1];
if (gamma_tt[xI*K1+i] == 1) {
lplace1_new +=1;
lplace0 += 1;
} else {
lplace0_new += 1;
lplace1 +=1;
}
int place0_new[lplace0_new];
int place0[lplace0];
int place1[lplace1];
int flag0 = 0; int flag1 = 0;
int flag0_old = 0; int flag1_old = 0;
int place1_new[lplace1_new];
for (int k= 0; k < xK; k++) {
if (gamma_tt[xI*k+i] == 0) {
place0_new[flag0] = k;
flag0 += 1;
} else {
place1_new[flag1] = k;
flag1 += 1;
}
if (gamma_old[k] == 0) {
place0[flag0_old] = k;
flag0_old += 1;
} else{
place1[flag1_old] = k;
flag1_old +=1;
}
}
if (lplace1_new == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for ( int k = 0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp]+xn_s[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
}
log_likeli_nume +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
//L0ik
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)/(2*(xlambda+1/nik))+
0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test1 = "<< test << std::endl; //
log_likeli_nume += test;
}
}
}
}
} else if (lplace0_new == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
for ( int k=0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
sum_gammaln +=lgamma(xalphas[k]);
sum_alphas +=xalphas[k];
sum_gammaln_ns += (lgamma(xalphas[k] + xn_s[temp]));
sum_alphas_ns += (xalphas[k]+xn_s[temp]);
}
log_likeli_nume +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
log_likeli_nume -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_nume +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test2 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test3 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test4 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}
}
} else {
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
double sum_alphau_nu = 0.0;
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace1_new; k++) {
sum_alphau_nu +=(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]);
sum_alphau_nus+=(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]+xn_s[i+xI*place1_new[k]]);
sum_gammaln_nu +=lgamma(xalphau[place1_new[k]]+xn_u[i+xI*place1_new[k]]);
sum_gammaln +=lgamma(xalphas[place1_new[k]]);
sum_alphas +=xalphas[place1_new[k]];
sum_gammaln_ns += (lgamma(xalphas[place1_new[k]] + xn_s[i+xI*place1_new[k]]));
sum_alphas_ns += (xalphas[place1_new[k]]+xn_s[i+xI*place1_new[k]]);
}
log_likeli_nume -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_nume +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
log_likeli_nume += (sum_gammaln_nu-lgamma(sum_alphau_nu));
log_likeli_nume +=lgamma(sum_alphau_nus+1);
sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace0_new; k++) {
sum_alphau_nus+=(xalphau[place0_new[k]]+xn_u[i+xI*place0_new[k]]+xn_s[i+xI*place0_new[k]]);
sum_gammaln_nu +=lgamma(xalphau[place0_new[k]]+xn_u[i+xI*place0_new[k]]+xn_s[i+xI*place0_new[k]]);
}
log_likeli_nume +=sum_gammaln_nu;
log_likeli_nume -=lgamma(sum_alphau_nus+1);
for (int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if(gamma_tt[xI*k+i]==1) {
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test5 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test6 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test7 = "<< test << std::endl;//
log_likeli_nume += test;
}
}
}
}else{
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)
/(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)-
0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test8 = "<< test << std::endl;//
log_likeli_nume +=test;
}
}
}
}
}
}
//
if (lplace1 == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for ( int k = 0; k<xK; k ++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp]+xn_s[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
}
log_likeli_deno +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)/
(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)
-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test9 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
} else if (lplace0 == 0) {
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
for ( int k=0; k<xK; k++) {
temp = xI*k+i;
double summ = xalphau[k]+xn_u[temp];
sum_alphau_nus += summ;
sum_gammaln_nu +=lgamma(summ);
sum_gammaln +=lgamma(xalphas[k]);
sum_alphas +=xalphas[k];
sum_gammaln_ns += (lgamma(xalphas[k] + xn_s[temp]));
sum_alphas_ns += (xalphas[k]+xn_s[temp]);
}
log_likeli_deno +=(sum_gammaln_nu-lgamma(sum_alphau_nus));
log_likeli_deno -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_deno +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
for ( int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test10 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test11 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test12 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
} else {
double sum_gammaln = 0.0;
double sum_alphas = 0.0;
double sum_gammaln_ns = 0.0;
double sum_alphas_ns = 0.0;
double sum_alphau_nu = 0.0;
double sum_alphau_nus = 0.0;
double sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace1; k++) {
sum_alphau_nu +=(xalphau[place1[k]]+xn_u[i+xI*place1[k]]);
sum_alphau_nus+=(xalphau[place1[k]]+xn_u[i+xI*place1[k]]+xn_s[i+xI*place1[k]]);
sum_gammaln_nu +=lgamma(xalphau[place1[k]]+xn_u[i+xI*place1[k]]);
sum_gammaln +=lgamma(xalphas[place1[k]]);
sum_alphas +=xalphas[place1[k]];
sum_gammaln_ns += (lgamma(xalphas[place1[k]] + xn_s[i+xI*place1[k]]));
sum_alphas_ns += (xalphas[place1[k]]+xn_s[i+xI*place1[k]]);
}
log_likeli_deno -= (sum_gammaln - lgamma(sum_alphas));
log_likeli_deno +=(sum_gammaln_ns -lgamma(sum_alphas_ns));
log_likeli_deno += (sum_gammaln_nu-lgamma(sum_alphau_nu));
log_likeli_deno +=lgamma(sum_alphau_nus+1);
sum_gammaln_nu = 0.0;
for (int k = 0; k<lplace0; k++) {
sum_alphau_nus+=(xalphau[place0[k]]+xn_u[i+xI*place0[k]]+xn_s[i+xI*place0[k]]);
sum_gammaln_nu +=lgamma(xalphau[place0[k]]+xn_u[i+xI*place0[k]]+xn_s[i+xI*place0[k]]);
}
log_likeli_deno +=sum_gammaln_nu;
log_likeli_deno -=lgamma(sum_alphau_nus+1);
for (int k = 0; k<K1; k++) {
temp = xI*k+i;
nik = xn_u[temp]+xn_s[temp];
if(gamma_old[k]==1) {
if (xn_u[temp] >0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]))+
pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test = xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test13 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}else if (xn_u[temp]==0 && xn_s[temp]>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np =pt1(temp,p)+xbeta+pow((xmu_s[p]-xybar_s(temp,p)),2)/(2*(xlambda+1/xn_s[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_s[temp]+1)
-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test14 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
} else if (xn_u[temp]>0 && xn_s[temp]==0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt2(temp,p)+xbeta+pow((xmu_u[p]-xybar_u(temp,p)),2)/(2*(xlambda+1/xn_u[temp]));
double alpha_np = nik/2+xalpha;
test= xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*xn_u[temp]+1) -lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test15 = "<< test << std::endl;//
log_likeli_deno +=test;
}
}
}
}else{
nik = xn_u[temp]+xn_s[temp];
if (nik>0) {
for ( int p = 0; p<xM; p++) {
if (xd(k,p)==1){
double beta_np = pt3(temp,p)+xbeta+pow((xmu_u[p]-(xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p))/nik),2)
/(2*(xlambda+1/nik))+0.5*xn_s[temp]*pow(xybar_s(temp,p),2)+ 0.5*xn_u[temp]*pow(xybar_u(temp,p),2)
-0.5*pow((xn_s[temp]*xybar_s(temp,p)+xn_u[temp]*xybar_u(temp,p)),2)/nik;
double alpha_np = nik/2+xalpha;
test=xalpha*log(xbeta)+lgamma(alpha_np)-0.5*log(xlambda*nik+1)-lgamma(xalpha)-alpha_np*log(beta_np);
//std::cout <<"test16 = "<< test << std::endl;//
log_likeli_deno += test;
}
}
}
}
}
}
if (log(Rcpp::as<double>(Rcpp::runif(1)) ) <= (log_likeli_nume - log_likeli_deno)) {
gamma_old[K1] = gamma_tt[xI*K1+i];
xIstar = Iistar+flag_prop;
xmKstar = miKstar+flag_prop*gamma_tt[xI*K1+i];
xAg[i] = 1;
} else {
xAg[i] = 0;
gamma_tt[xI*K1+i] = gamma_old[K1];
}
}
}
}