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#' Computes possible membership vectors from contingency table
#'
#' Given a contingency table, obtains a possible pair of corresponding labelings.
#' That is, element M[i,j] is the number of elements that belong to community i
#' in the first labeling and j in the second.
#' @param M the contingency table
#' @return a list containing the two membership vectors
contingency_to_membership_vectors <- function(M){
l1 <- rep(0, sum(M))
l2 <- l1
k <- 1
for (i in 1:nrow(M)){
for (j in 1:ncol(M)){
if (M[i,j]>=1){
for (l in 1:M[i,j]){
l1[k] <- i
l2[k] <- j
k <- k+1
}
}
}
}
return(list(l1,l2))
}
#' Sort matrix
#'
#' Given a matrix, rearranges rows and columns so that row sums and col sums
#' end up in ascending order.
#' @param M matrix
#' @return rearranged matrix
sort_matrix <- function(M){
cs <- colSums(M)
rs <- rowSums(M)
col_order <- sort(cs, index.return=TRUE)$ix
row_order <- sort(rs, index.return=TRUE)$ix
return(M[row_order, col_order])
}
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