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#' #' Generating encodings with distance equal to 1
#' #'
#' #' Generates a list of encodings whose distances from a given encoding are equal to 1.
#' #'
#' #' @param enc encoding for which all encodings in distance equal to 1 are searched for.
#' #'
#' #' @return a list of encodings.
#' #'
#' #' @details
#' #' We assume that the distance between two encodings is equal to 1 if only one element is assigned
#' #' to different groups in these two encodings.
#' #'
#' #' The main function to generate the encodings is \code{ed1_gen}. It goes through every single element
#' #' of the list of a given encoding, taking it from the group it originally belonged to and putting it into
#' #' another group (an existing one or a newly created empty one), thus creating a new encoding
#' #' with the distance 1 to the original one. The functions \code{change_2_groups}, \code{add_new_group}
#' #' and \code{remove_group} are technical functions which make the changes in the assignments of the elements
#' #' to the groups.
#' #'
#' #' @examples
#' #' \code{aa1} is an encoding in form of a list:
#' #' aa1 = list(`1` = c("g", "a", "p", "v", "m", "l", "i"),
#' #' `2` = c("k", "h"),
#' #' `3` = c("d", "e"),
#' #' `4` = c("f", "r", "w", "y", "s", "t", "c", "n", "q"))
#' #' To generate the list of encodings whose distances from \code{aa1} are equal to 1,
#' #' we put \code{aa1} as the argument of the function \code{ed1_gen}:
#' #' aa1_dist1_encodings = ed1_gen(aa1)
#' #'
#'
#'
#'
#' change_2_groups<-function(enc,i,j,l){
#' enc_new<-enc
#' enc_new[[i]]<-enc[[i]][-j]
#' enc_new[[l]]<-c(enc[[l]], enc[[i]][j])
#' enc_new
#' }
#'
#' add_new_group<-function(enc,i,j){
#' enc_new<-enc
#' enc_new[[i]]<-enc[[i]][-j]
#' temp_list<-list(enc[[i]][j])
#' enc_new1<-c(enc_new, temp_list)
#' enc_new1
#' }
#'
#' remove_group<-function(enc,i,j,l){
#' enc_new<-enc
#' enc_new[[l]]<-c(enc[[l]], enc[[i]][j])
#' enc_new1<-enc_new[-i]
#' enc_new1
#' }
#'
#' # general function generating a list of encodings
#' ed1_gen<-function(enc){
#'
#' ed1_encodings<-list(enc)
#'
#' k<-length(enc) #number of grups in enc
#' i<-1
#' while(i<=k){
#'
#' n_i<-length(enc[[i]]) #number of aa in group i
#' j<-1
#' while(j<=n_i){
#'
#' l<-1
#' while(l<=k){
#'
#' if(l!=i){
#'
#' if(n_i>1){
#'
#' enc_new<-change_2_groups(enc,i,j,l)
#' ed1_encodings<-c(ed1_encodings, list(enc_new))
#'
#'
#' }else{
#' enc_new<-remove_group(enc,i,j,l)
#' ed1_encodings<-c(ed1_encodings, list(enc_new))
#' }
#' }
#' l=l+1
#'
#' }
#' #adding new group:
#' if(n_i>2){
#' enc_new<-add_new_group(enc,i,j)
#' ed1_encodings<-c(ed1_encodings, list(enc_new))
#' }
#' if(n_i==2 && j==1){
#' enc_new<-add_new_group(enc,i,j)
#' ed1_encodings<-c(ed1_encodings, list(enc_new))
#' }
#' j=j+1
#'
#' }
#' i=i+1
#'
#' }
#' ed1_encodings[-1]
#'
#' }
#'
#' get_1ed <- function(enc) {
#' len_enc <- length(enc)
#' new_encs <- unlist(unlist(lapply(1L:len_enc, function(single_group_id) {
#' single_group <- enc[[single_group_id]]
#' len_group <- length(single_group)
#' potential_groups <- 1L:(len_enc + 1)
#'
#' lapply(1L:len_group, function(single_unigram_id) {
#' # new encoding with removed single element and added empty group
#' new_enc <- c(list(single_group[-single_unigram_id]),
#' enc[-single_group_id],
#' list(c()))
#' lapply(potential_groups[-single_group_id], function(destiny_group_id) {
#' new_enc[[destiny_group_id]] <- c(single_group[single_unigram_id], new_enc[[destiny_group_id]])
#' tmp <- new_enc[lengths(new_enc) != 0]
#' # if(is.na(tmp[[1]]))
#' # browser()
#' tmp
#' })
#' })
#' }), recursive = FALSE), recursive = FALSE)
#'
#' only_unique <- unique(unlist(lapply(new_encs, function(single_enc) {
#' pasted_enc <- sort(unlist(lapply(single_enc, function(single_group)
#' paste0(sort(single_group), collapse = "")
#' )))
#' paste0(pasted_enc[order(nchar(pasted_enc))], collapse = "_")
#' })))
#'
#' lapply(strsplit(only_unique, "_"), strsplit, split = "")
#' }
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