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pl2fullV2=function(I.start,PLdat,nRe,phi.start,smlgamma){
# I.start is current true I
# PLdat is partial list data n*m1
# nRe is number of relevant entities
# phi.start is current phi of mallows model
# smlgamma is the current gamma(quality parameter)
# We assume people can only give the first several rankings, all the other are uniform distribution
PLdat=as.matrix(PLdat)
MHiter=1
dat=PLdat
n=dim(PLdat)[1]
trank=I.start
for(i in 1:dim(PLdat)[2]){
########################## generate a compatible list
P1=PLdat[,i]
k=length(na.omit(P1))
reP1=P1
leftset=setdiff(1:n,as.vector(na.omit(reP1)))
reP1[is.na(reP1)]=sample(leftset)
#cat(is.permutation(reP1),'\t')
########################## update the compatible list using MH
knownP=P1[!is.na(P1)]
for(j in 1:MHiter){
for(jj in sample((k+2):n,1)){
newlist=PerMallows::swap(reP1,which(reP1==jj),which(reP1==jj-1))
like.start=fulllikepower(as.matrix(reP1),I = I.start,phi = phi.start,smlgamma = smlgamma[i])
like.new=fulllikepower(as.matrix(newlist),I = I.start,phi = phi.start,smlgamma = smlgamma[i])
if(like.new-like.start > log(runif(1)) ){
reP1=newlist
}
}
}
dat[,i]=reP1
}
return(dat)
}
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