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makedmat<-function(nnod){
##creates designmatrix D with all possible assignments of the terminal nodes to the three partition classes
##nnod = I = number of terminal nodes after a split
##dmat=K * I matrix: K=number of possible assignments;
rmat<-3^(nnod)
#rmat is total number of rows
dmat<-matrix(unlist(lapply(1:nnod,function(jj,rmat){as.double(gl(3,rmat/(3^jj),rmat))},rmat=rmat)),ncol=nnod,nrow=rmat)
return(dmat)}
makedmats<-function(dmat){
#check of boundary condition: partition class cardinality condition:P1 and P2 may not be empty
#creates D'(dmats): matrix D with admissible assignments(K'); dmats= K' * I matrix;
sel1<-numeric(dim(dmat)[1])
sel2<-numeric(dim(dmat)[1])
#count the assignments to p1 for each row of dmat
sel1<-apply(dmat==1,1,sum)
#count the assignments to p2 for each row of dmat
sel2<-apply(dmat==2,1,sum)
#select the rows for which sel1 & sel2 not equals 0
dmats<-dmat[sel1&sel2!=0,]
return(dmats)}
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