# ' @export
# ' @import igraph
# ' @param nodePosition Tells you all the position of the black dots
# ' @description The minLegRoutes function tells you the possible routes to achieve a maximum score based on the colourNode position with a minimum number legs.
# ' @details The minLegRoutes function tells you the possible routes to achieve a maximum score based on the colourNode position with a minimum number legs.
# ' You need to use the nodePosition function first prior to using this.
# ' @author Aiden Loe and Maria Sanchez
# ' @title minLegRoutes
# ' @examples
# ' rank <- 3
# ' a <- np(rank=3,satPercent=0.5,seed=1)
# ' minLegRoutes(a)
minLegRoutes <- function(nodePosition){
if("np" %in% class(nodePosition) == FALSE){
stop("nodePosition must be calculated using the np function.")
}
#nodePosition <- np(rank=3,satPercent=0.5,seed=1)
rank <- nodePosition$rank
nodePosition <- nodePosition$nodePosition
#### Lower Grid Maze Nodes ####
G <- graph(genMaze(rank), directed = TRUE )
#### Calculate all Path ####
allPaths <- all_simple_paths(G, 1,lowerGrid(rank))
#### max colour gives you the points for every route on a black dot ####
maxColour <- NULL
for(i in 1:length(allPaths)){
maxColour[[i]] <- ifelse(as.numeric(allPaths[[i]]) %in% nodePosition,1,0)
}
#### summing up the total score ####
totalScore <- NULL
for(i in 1:length(allPaths)){
totalScore[i]<- sum(maxColour[[i]])
}
totalScore.df <- as.data.frame(totalScore)
index <- 1:nrow(totalScore.df)
totalScore.df.1<- cbind.data.frame(index,totalScore.df)
optimisedScore <- totalScore.df.1[which(totalScore.df.1$totalScore == max(totalScore.df.1$totalScore, na.rm = TRUE)), ]
n<-nrow(optimisedScore)
#### All the optimised routes #####
#number of steps & optimal paths
LL<-c()
for (j in 1:n){
M<-matrix(unlist(optimisedScore),ncol=n,byrow=TRUE)
N<-unlist(maxColour[M[1,j]])
LL<-c(LL,length(N))
}
# print("The optimium path(s) with minimum legs is: ")
W<-which( LL == min(LL))
minPaths <- do.call("rbind",allPaths[M[1,W]]) #minimum Paths
m2 <- 1:nrow(minPaths)
rownames(minPaths) <- rownames(m2, do.NULL = FALSE, prefix = "pos.Route.")
colnames(minPaths) <- paste("Step_",0:(ncol(minPaths)-1), sep = "")
mLRoutes <- list(minSteps = min(LL)-1,
minPaths = minPaths,
totalminPaths = length(W))
class(mLRoutes) <- "min"
return(mLRoutes)
}
# a <- np(rank=5,satPercent=0.5,seed=1)
# b<- minLegRoutes(a)
# b
# str(b)
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