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RJupdates.cpp
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#include "global_defs.h"
#include <iostream>
#include <algorithm>
#include <math.h>
#include <omp.h>
//#define prop_alpha_mean 0
//#define prop_alpha_var 5
using namespace std;
void jump_model_alpha()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_alpha;
double new_phi,old_phi; // new and old values of phi
#pragma omp parallel for SCHED_I /*reduction(+:nb_alpha_included)*/ private(r, A, old_alpha, new_phi,old_phi)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
old_alpha=alpha[i];
// propose new alpha value
if (!alpha_included[i])
alpha[i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_alpha[i],sqrt(var_alpha[i]));
else
alpha[i]=0;
// change the state of alpha
alpha_included[i]=!alpha_included[i];
// calculate A
A=0;
for (int g=0;g<G;g++)
{
// calculate old and new value of theta
new_phi=exp(-(alpha[i]+beta[g]));
old_phi=exp(-(old_alpha+beta[g]));
A+= gammaln(new_phi)-gammaln(old_phi)
- gammaln(new_phi*freq_ancestral[i]) + gammaln(old_phi*freq_ancestral[i])
- gammaln(new_phi*(1-freq_ancestral[i])) + gammaln(old_phi*(1-freq_ancestral[i]))
+ freq_ancestral[i]*(new_phi-old_phi)*log(group[g].locus[i].p)
+ (1-freq_ancestral[i])*(new_phi-old_phi)*log(1-group[g].locus[i].p);
}
if (alpha_included[i]) //if we add parameter
A+= log_prior_alpha(alpha[i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_alpha[i])-((alpha[i]-mean_alpha[i])*(alpha[i]-mean_alpha[i]))/(2*var_alpha[i]))-log(prior_odds);
// inverse if we remove
else
A+= (-0.5*log(2*M_PI*var_alpha[i])-((alpha[i]-mean_alpha[i])*(alpha[i]-mean_alpha[i]))/(2*var_alpha[i]))
-log_prior_alpha(alpha[i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
alpha[i]=old_alpha;
alpha_included[i]=!alpha_included[i];
}
/*else
{
if (alpha_included[i])
nb_alpha_included++;
else
nb_alpha_included--;
}*/
}
}
}
void jump_model_alpha_codominant()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_alpha;
double new_phi,old_phi; // new and old values of phi
#pragma omp parallel for SCHED_I /*reduction(+:nb_alpha_included)*/ private(r, A, old_alpha, new_phi,old_phi)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
old_alpha=alpha[i];
// propose new alpha value
if (!alpha_included[i])
alpha[i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_alpha[i],sqrt(var_alpha[i]));
else
alpha[i]=0;
// change the state of alpha
alpha_included[i]=!alpha_included[i];
// calculate A
A=0;
double old_l=0;
for (int g=0;g<G;g++)
{
// calculate old and new value of theta
old_phi=exp(-(old_alpha+beta[g]));
for (int k=0;k<group[g].locus[i].ar;k++)
old_l-=gammaln(old_phi*freq_locus[i].allele[k]);
double temp=0;
for (int k=0;k<group[g].locus[i].ar;k++)
temp+=old_phi*freq_locus[i].allele[k];
old_l+=gammaln(temp);
for (int k=0;k<group[g].locus[i].ar;k++)
old_l+=(old_phi*freq_locus[i].allele[k]-1)*log(group[g].locus[i].allele[k]);
}
double new_l=0;
for (int g=0;g<G;g++)
{
// calculate old and new value of theta
new_phi=exp(-(alpha[i]+beta[g]));
for (int k=0;k<group[g].locus[i].ar;k++)
new_l-=gammaln(new_phi*freq_locus[i].allele[k]);
double temp=0;
for (int k=0;k<group[g].locus[i].ar;k++)
temp+=new_phi*freq_locus[i].allele[k];
new_l+=gammaln(temp);
for (int k=0;k<group[g].locus[i].ar;k++)
new_l+=(new_phi*freq_locus[i].allele[k]-1)*log(group[g].locus[i].allele[k]);
}
A=-old_l+new_l;
if (alpha_included[i]) //if we add parameter
A+= log_prior_alpha(alpha[i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_alpha[i])-((alpha[i]-mean_alpha[i])*(alpha[i]-mean_alpha[i]))/(2*var_alpha[i]))-log(prior_odds);
// inverse if we remove
else
A+= (-0.5*log(2*M_PI*var_alpha[i])-((alpha[i]-mean_alpha[i])*(alpha[i]-mean_alpha[i]))/(2*var_alpha[i]))
-log_prior_alpha(alpha[i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
alpha[i]=old_alpha;
alpha_included[i]=!alpha_included[i];
}
/* else
{
if (alpha_included[i])
nb_alpha_included++;
else
nb_alpha_included--;
}*/
}
}
}
void jump_model_eta()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_eta;
double new_phi,old_phi; // new and old values of phi
#pragma omp parallel for SCHED_I private(r, A, old_eta, new_phi, old_phi)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
for (int p=0;p<P;p++) // cycle over loci
{
old_eta=eta[p][i];
// propose new alpha value
if (!eta_included[p][i])
eta[p][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta[p][i],sqrt(var_eta[p][i]));
else
eta[p][i]=0;
// change the state of alpha
eta_included[p][i]=!eta_included[p][i];
// calculate A
A=0;
for (int g=0;g<pressure[p].member.size();g++)
{
int cur_group=pressure[p].member[g];
for (int j_g=0;j_g<group[cur_group].member.size();j_g++)
{
// calculate old and new value of theta
int cur_pop=group[cur_group].member[j_g];
new_phi=exp(-(eta[p][i]+theta[cur_pop]));
old_phi=exp(-(old_eta+theta[cur_pop]));
A+= gammaln(new_phi)-gammaln(old_phi)
- gammaln(new_phi*group[cur_group].locus[i].p) + gammaln(old_phi*group[cur_group].locus[i].p)
- gammaln(new_phi*(1-group[cur_group].locus[i].p)) + gammaln(old_phi*(1-group[cur_group].locus[i].p))
+ group[cur_group].locus[i].p*(new_phi-old_phi)*log(pop[cur_pop].locus[i].p)
+ (1-group[cur_group].locus[i].p)*(new_phi-old_phi)*log(1-pop[cur_pop].locus[i].p);
}
}
if (eta_included[p][i]) //if we add parameter
A+= log_prior_alpha(eta[p][i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_eta[p][i])-((eta[p][i]-mean_eta[p][i])*(eta[p][i]-mean_eta[p][i]))/(2*var_eta[p][i]))-log(prior_odds);
// inverse if we remove
else
A+= (-0.5*log(2*M_PI*var_eta[p][i])-((eta[p][i]-mean_eta[p][i])*(eta[p][i]-mean_eta[p][i]))/(2*var_eta[p][i]))
-log_prior_alpha(eta[p][i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
eta[p][i]=old_eta;
eta_included[p][i]=!eta_included[p][i];
}
/*else
{
if (eta_included[g][i])
nb_eta_included[g]++;
else
nb_eta_included[g]--;
}*/
}
}
}
}
/*
void jump_model_eta_codominant()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_eta2;
double new_phi,old_phi; // new and old values of phi
// double old_log_likelihood; // old loglikelihood
double diff_log_likelihood; // old loglikelihood
#pragma omp parallel for SCHED_I reduction(+:log_likelihood) private(r, A, old_eta2, new_phi, old_phi, diff_log_likelihood)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
//for (int p=0;p<P;p++) // cycle over loci
int p=0;
p=randgen_parallel[omp_get_thread_num()].randInt(P-1);
{
old_eta2=eta2[p][i];
// propose new alpha value
if (!eta2_included[p][i])
eta2[p][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta2[p][i],sqrt(var_eta2[p][i]));
else
eta2[p][i]=0;
// change the state of alpha
eta2_included[p][i]=!eta2_included[p][i];
// calculate A
A=0;
long double old_l=0;
for (int g=0;g<pressure[p].member.size();g++)
{
int cur_group=pressure[p].member[g];
for (int j_g=0;j_g<group[cur_group].member.size();j_g++)
{
int cur_pop=group[cur_group].member[j_g];
old_phi=exp(-(old_eta2+theta[cur_pop]));
old_l+=gammaln(old_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+old_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
old_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+old_phi*group[cur_group].locus[i].allele[k])
-gammaln(old_phi*group[cur_group].locus[i].allele[k]);
}
}
long double new_l=0;
for (int g=0;g<pressure[p].member.size();g++)
{
int cur_group=pressure[p].member[g];
for (int j_g=0;j_g<group[cur_group].member.size();j_g++)
{
int cur_pop=group[cur_group].member[j_g];
new_phi=exp(-(eta2[p][i]+theta[cur_pop]));
new_l+=gammaln(new_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+new_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
new_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+new_phi*group[cur_group].locus[i].allele[k])
-gammaln(new_phi*group[cur_group].locus[i].allele[k]);
}
}
// store the old loglikelihood and calculate the new loglikelihood
//old_log_likelihood=log_likelihood;
diff_log_likelihood=-old_l+new_l;
//log_likelihood=old_log_likelihood-old_l+new_l;
A=diff_log_likelihood;
if (eta2_included[p][i]) //if we add parameter
A+= log_prior_alpha(eta2[p][i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_eta2[p][i])-((eta2[p][i]-mean_eta2[p][i])*(eta2[p][i]-mean_eta2[p][i]))/(2*var_eta2[p][i]))-log(prior_odds);
// inverse if we remove
else
A+= (-0.5*log(2*M_PI*var_eta2[p][i])-((eta2[p][i]-mean_eta2[p][i])*(eta2[p][i]-mean_eta2[p][i]))/(2*var_eta2[p][i]))
-log_prior_alpha(eta2[p][i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
eta2[p][i]=old_eta2;
eta2_included[p][i]=!eta2_included[p][i];
//log_likelihood=old_log_likelihood;
}
else
{
log_likelihood=log_likelihood+diff_log_likelihood;
//if (eta_included[g][i])
// nb_eta_included[g]++;
// else
// nb_eta_included[g]--;
}
}
}
}
}*/
void jump_model_eta_codominant_ok_old()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_eta2;
double new_phi,old_phi; // new and old values of phi
// double old_log_likelihood; // old loglikelihood
double diff_log_likelihood; // old loglikelihood
#pragma omp parallel for SCHED_I reduction(+:log_likelihood) private(r, A, old_eta2, new_phi, old_phi, diff_log_likelihood)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
for (int p=0;p<P;p++)
{
int g=0;
int group_index=0;
bool all_present;
do {
group_index=randgen_parallel[omp_get_thread_num()].randInt(pressure[p].member.size()-1);
g=pressure[p].member[group_index];
eta2_included[g][i]=!eta2_included[g][i];
all_present=true;
for (int g2=0;g2<pressure[p].member.size();g2++)
all_present=all_present && eta2_included[pressure[p].member[g2]][i];
eta2_included[g][i]=!eta2_included[g][i];
} while (all_present && pressure[p].member.size()>1);
old_eta2=eta2[g][i];
// propose new alpha value
if (!eta2_included[g][i])
eta2[g][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta2[g][i],sqrt(var_eta2[g][i]));
else
eta2[g][i]=0;
// change the state of alpha
eta2_included[g][i]=!eta2_included[g][i];
// calculate A
A=0;
long double old_l=0;
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
old_phi=exp(-(old_eta2+theta[cur_pop]));
old_l+=gammaln(old_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+old_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
old_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+old_phi*group[g].locus[i].allele[k])
-gammaln(old_phi*group[g].locus[i].allele[k]);
}
long double new_l=0;
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
new_phi=exp(-(eta2[g][i]+theta[cur_pop]));
new_l+=gammaln(new_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+new_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
new_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+new_phi*group[g].locus[i].allele[k])
-gammaln(new_phi*group[g].locus[i].allele[k]);
}
// store the old loglikelihood and calculate the new loglikelihood
//old_log_likelihood=log_likelihood;
diff_log_likelihood=-old_l+new_l;
//log_likelihood=old_log_likelihood-old_l+new_l;
A=diff_log_likelihood;
if (eta2_included[g][i]) //if we add parameter
A+= log_prior_alpha(eta2[g][i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))-log(prior_odds);
// inverse if we remove
else
A+= (-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-log_prior_alpha(eta2[g][i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
eta2[g][i]=old_eta2;
eta2_included[g][i]=!eta2_included[g][i];
//log_likelihood=old_log_likelihood;
}
else
{
log_likelihood=log_likelihood+diff_log_likelihood;
/*if (eta_included[g][i])
nb_eta_included[g]++;
else
nb_eta_included[g]--;*/
}
}
}
}
}
void jump_model_eta_codominant()
{
double A; // log of A in MH algorithm : accept move with probability min(1,A)
double r; // random value to accept/reject the move
double old_eta;
double new_phi,old_phi; // new and old values of phi
// double old_log_likelihood; // old loglikelihood
double diff_log_likelihood; // old loglikelihood
#pragma omp parallel for SCHED_I reduction(+:log_likelihood) private(r, A, old_eta, new_phi, old_phi, diff_log_likelihood)
for (int i=0;i<I;i++) // cycle over loci
{
if (!discarded_loci[i])
{
// loop over pressures
for (int p=0;p<P;p++) {
// propose to move to convergent evolution model in the pressure if
// - under convergent evolution model already
// OR ( - more than one group in the pressure
// AND - all groups in the pressures are under selection in the current iteration
// AND - draw a random number > 0.5
// )
// otherwise, do a normal move
// random number to propose convergent evolution move
double r2=randgen_parallel[omp_get_thread_num()].randDblExc();
// check if all groups in the pressure are under selection
int nb_present=0;
for (int g=0;g<pressure[p].member.size();g++)
nb_present+=eta2_included[pressure[p].member[g]][i];
/* bool all_present=true;
for (int g=0;g<pressure[p].member.size();g++)
all_present=all_present && eta2_included[pressure[p].member[g]][i];*/
//if (i==150 && all_present) cout << r2 << endl;
if (eta_included[p][i] || (pressure[p].member.size()>1 && nb_present==pressure[p].member.size()-1/*all_present*/ && r2>=0.5)) {
/*f (i==150) {
cout << "propose CE model: ";
for (int g=0;g<pressure[p].member.size();g++)
cout << eta2_included[pressure[p].member[g]][i] << " ";
cout << eta_included[p][i];
cout << endl;
getchar();
}*/
// save the state
old_eta=eta[p][i];
double* old_eta2=new double[pressure[p].member.size()];
for (int g=0;g<pressure[p].member.size();g++)
old_eta2[g]=eta2[pressure[p].member[g]][i];
int g_null;
if (!eta_included[p][i]) { // propose to switch to convergent evolution model
// propose the new eta value as the average of eta2 values
eta[p][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta[p][i],sqrt(var_eta[p][i]));
/* eta[p][i]=0;
for (int g=0;g<pressure[p].member.size();g++)
eta[p][i]+=eta2[pressure[p].member[g]][i];
eta[p][i]/=pressure[p].member.size()-1;*/
// set all eta2 to the same value to have correct calculations based on eta2 everywhere in the program without testing the current model
for (int g=0;g<pressure[p].member.size();g++)
eta2[pressure[p].member[g]][i]=eta[p][i];
}
else { // propose to switch to all groups under different selection coeff
eta[p][i]=0;
// propose the new coefficients for eta2 and change state
for (int g=0;g<pressure[p].member.size();g++)
eta2[pressure[p].member[g]][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta2[pressure[p].member[g]][i],sqrt(var_eta2[pressure[p].member[g]][i]));
int group_index=0;
group_index=randgen_parallel[omp_get_thread_num()].randInt(pressure[p].member.size()-1);
g_null=pressure[p].member[group_index];
eta2[g_null][i]=0;
}
// change the state of eta and eta2
eta_included[p][i]=!eta_included[p][i];
for (int g=0;g<pressure[p].member.size();g++)
eta2_included[pressure[p].member[g]][i]=!eta2_included[pressure[p].member[g]][i];
// calculate A
A=0;
long double old_l=0;
long double new_l=0;
for (int g_index=0;g_index<pressure[p].member.size();g_index++) {
int g=pressure[p].member[g_index];
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
if (!eta_included[p][i]) //if we switch to normal model
old_phi=exp(-(old_eta+theta[cur_pop]));
else old_phi=exp(-(old_eta2[g_index]+theta[cur_pop]));
old_l+=gammaln(old_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+old_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
old_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+old_phi*group[g].locus[i].allele[k])
-gammaln(old_phi*group[g].locus[i].allele[k]);
}
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
new_phi=exp(-(eta2[g][i]+theta[cur_pop]));
new_l+=gammaln(new_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+new_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
new_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+new_phi*group[g].locus[i].allele[k])
-gammaln(new_phi*group[g].locus[i].allele[k]);
}
}
// store the old loglikelihood and calculate the new loglikelihood
//old_log_likelihood=log_likelihood;
diff_log_likelihood=-old_l+new_l;
//log_likelihood=old_log_likelihood-old_l+new_l;
A=diff_log_likelihood;
/* if (eta_included[p][i]) {//if we switch to convergent evolution model
A+=log_prior_alpha(eta[p][i])+log(2)-log(pressure[p].member.size());
for (int g_index=0;g_index<pressure[p].member.size();g_index++) {
int g=pressure[p].member[g_index];
A+= ((int)(!eta2_included[g][i]))*(-0.5*log(2*M_PI*var_eta2[g][i])-((old_eta2[g_index]-mean_eta2[g][i])*(old_eta2[g_index]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-log_prior_alpha(old_eta2[g_index]);
A-= (-0.5*log(2*M_PI*var_eta[p][i])-((eta[p][i]-mean_eta[p][i])*(eta[p][i]-mean_eta[p][i]))/(2*var_eta[p][i]));
}
}
else {//if we switch to normal evolution model
A-=log_prior_alpha(old_eta)+log(2)-log(pressure[p].member.size());
for (int g_index=0;g_index<pressure[p].member.size();g_index++) {
int g=pressure[p].member[g_index];
A-= ((int)(g!=g_null))*(-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-log_prior_alpha(eta2[g][i]);
A+= (-0.5*log(2*M_PI*var_eta[p][i])-((old_eta-mean_eta[p][i])*(old_eta-mean_eta[p][i]))/(2*var_eta[p][i]));
}
}*/
if (eta_included[p][i]) {//if we switch to convergent evolution model
A+=log_prior_alpha(eta[p][i])+log(2)-log(pressure[p].member.size());
for (int g_index=0;g_index<pressure[p].member.size();g_index++) {
int g=pressure[p].member[g_index];
A+= ((int)(!eta2_included[g][i]))*(-0.5*log(2*M_PI*var_eta2[g][i])-((old_eta2[g_index]-mean_eta2[g][i])*(old_eta2[g_index]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-((int)(!eta2_included[g][i]))*log_prior_alpha(old_eta2[g_index]);
}
A-= (-0.5*log(2*M_PI*var_eta[p][i])-((eta[p][i]-mean_eta[p][i])*(eta[p][i]-mean_eta[p][i]))/(2*var_eta[p][i]));
}
else {//if we switch to normal evolution model
A-=log_prior_alpha(old_eta)+log(2)-log(pressure[p].member.size());
for (int g_index=0;g_index<pressure[p].member.size();g_index++) {
int g=pressure[p].member[g_index];
A-= ((int)(g!=g_null))*(-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-((int)(g!=g_null))*log_prior_alpha(eta2[g][i]);
}
A+= (-0.5*log(2*M_PI*var_eta[p][i])-((old_eta-mean_eta[p][i])*(old_eta-mean_eta[p][i]))/(2*var_eta[p][i]));
}
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
eta[p][i]=old_eta;
for (int g=0;g<pressure[p].member.size();g++)
eta2[pressure[p].member[g]][i]=old_eta2[g];
eta_included[p][i]=!eta_included[p][i];
for (int g=0;g<pressure[p].member.size();g++)
eta2_included[pressure[p].member[g]][i]=!eta2_included[pressure[p].member[g]][i];
//log_likelihood=old_log_likelihood;
}
else
{
// if (i==150) cout << " -> accepted ";
log_likelihood=log_likelihood+diff_log_likelihood;
if (eta_included[p][i]) {
for (int g=0;g<pressure[p].member.size();g++)
eta2_included[pressure[p].member[g]][i]=false;
}
else {
eta2_included[g_null][i]=false;
}
/* if (i==150) { for (int g=0;g<pressure[p].member.size();g++)
cout << eta2_included[pressure[p].member[g]][i] << " ";
cout << eta_included[p][i];
cout << endl;}*/
//if (eta_included[g][i])
// nb_eta_included[g]++;
//else
// nb_eta_included[g]--;
}
delete[] old_eta2;
} // end of convergent evolution move
else {
// "normal" move: propose to switch one group in the pressure at random
int g=0;
int group_index=0;
bool all_present;
do {
group_index=randgen_parallel[omp_get_thread_num()].randInt(pressure[p].member.size()-1);
g=pressure[p].member[group_index];
eta2_included[g][i]=!eta2_included[g][i];
all_present=true;
for (int g2=0;g2<pressure[p].member.size();g2++)
all_present=all_present && eta2_included[pressure[p].member[g2]][i];
eta2_included[g][i]=!eta2_included[g][i];
} while (all_present && pressure[p].member.size()>1);
/*if (i==150) {
cout << "propose normal move in group " << g << ": ";
for (int g=0;g<pressure[p].member.size();g++)
cout << eta2_included[pressure[p].member[g]][i] << " ";
cout << eta_included[p][i];
getchar();
}*/
double old_eta2=eta2[g][i];
// propose new alpha value
if (!eta2_included[g][i])
eta2[g][i]=randgen_parallel[omp_get_thread_num()].randNorm(mean_eta2[g][i],sqrt(var_eta2[g][i]));
else
eta2[g][i]=0;
// change the state of alpha
eta2_included[g][i]=!eta2_included[g][i];
// calculate A
A=0;
long double old_l=0;
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
old_phi=exp(-(old_eta2+theta[cur_pop]));
old_l+=gammaln(old_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+old_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
old_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+old_phi*group[g].locus[i].allele[k])
-gammaln(old_phi*group[g].locus[i].allele[k]);
}
long double new_l=0;
for (int j_g=0;j_g<group[g].member.size();j_g++)
{
int cur_pop=group[g].member[j_g];
new_phi=exp(-(eta2[g][i]+theta[cur_pop]));
new_l+=gammaln(new_phi)-gammaln(pop[cur_pop].locus[i].alleleCount+new_phi);
for (int k=0;k<pop[cur_pop].locus[i].ar;k++)
new_l+=gammaln(pop[cur_pop].locus[i].data_allele_count[k]+new_phi*group[g].locus[i].allele[k])
-gammaln(new_phi*group[g].locus[i].allele[k]);
}
// store the old loglikelihood and calculate the new loglikelihood
//old_log_likelihood=log_likelihood;
diff_log_likelihood=-old_l+new_l;
//log_likelihood=old_log_likelihood-old_l+new_l;
A=diff_log_likelihood;
int nb_present=0;
for (int g=0;g<pressure[p].member.size();g++)
nb_present+=eta2_included[pressure[p].member[g]][i];
if (eta2_included[g][i]) {//if we add parameter
A+= log_prior_alpha(eta2[g][i])//-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha)
-(-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))-log(prior_odds);
if (pressure[p].member.size()>2 && (nb_present==pressure[p].member.size()-1))
A+=log(pressure[p].member.size())-log(pressure[p].member.size()-1);
}
// inverse if we remove
else {
A+= (-0.5*log(2*M_PI*var_eta2[g][i])-((eta2[g][i]-mean_eta2[g][i])*(eta2[g][i]-mean_eta2[g][i]))/(2*var_eta2[g][i]))
-log_prior_alpha(eta2[g][i])+log(prior_odds);//-(-0.5*log(2*M_PI*sd_prior_alpha*sd_prior_alpha)-(alpha[i]*alpha[i])/(2*sd_prior_alpha*sd_prior_alpha));
if (pressure[p].member.size()>2 && (nb_present==pressure[p].member.size()-2))
A+=log(pressure[p].member.size()-1)-log(pressure[p].member.size());
}
r=randgen_parallel[omp_get_thread_num()].randDblExc();
// reject proposed value
if (log(r)>A)
{
eta2[g][i]=old_eta2;
eta2_included[g][i]=!eta2_included[g][i];
//log_likelihood=old_log_likelihood;
}
else
{
//if (i==150) cout << " -> accepted ";
log_likelihood=log_likelihood+diff_log_likelihood;
//if (eta_included[g][i])
// nb_eta_included[g]++;
//else
// nb_eta_included[g]--;
/*if (i==150){ for (int g=0;g<pressure[p].member.size();g++)
cout << eta2_included[pressure[p].member[g]][i] << " ";
cout << eta_included[p][i];
cout << endl;}*/
}
} // end of normal move
} // end of loop over pressures
} // end of test if discarded locus
} // end of loop over loci
} // end of function