#######################
# env_pairs_submatrix #
#######################
# function to create the sub-matrix elements used to construct the
# unstructured matrix
env_pairs_submatrix <- function(nEnv){
env_id <- paste0('E', 1:nEnv)
env_gr <- expand.grid(env_id, env_id)
env_pairs <- paste0(env_gr[, 2], env_gr[, 1])
e_p_m <- matrix(env_pairs, nEnv)
e_p_m[lower.tri(e_p_m)] <- t(e_p_m)[lower.tri(e_p_m)]
all_e_p <- c(e_p_m)
un_e_p <- e_p_m[lower.tri(e_p_m)]
n_un_p <- length(un_e_p)
m_list <- vector(mode = 'list', length = n_un_p)
for(i in 1:n_un_p){
m_list[[i]] <- matrix((all_e_p %in% un_e_p[i]*1), nEnv)
}
names(m_list) <- un_e_p
return(m_list)
}
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