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#
#' Internal function that generates constraints for a bidirection transition matrix.
#' @param state.type Indicates directinality of states. States can be forward (F1, F2, ..., Fn), reverse (R1, R2, ..., Rn) or undirectional (U1, U2, ..., Um). Number of F and R states must be equal and twin states are indicated by integers in id (e.g. F1 and R1 and twins).
#'
#' @return A list containing the constraints
#' @keywords internal
#' @noRd
getConstraints = function(state.type) {
fow = grep("F", state.type)
nfow = sapply(strsplit(state.type[fow], "F"), function(x) as.integer(x[2]))
rev = grep("R", state.type)
nrev = sapply(strsplit(state.type[rev], "R"), function(x) as.integer(x[2]))
u = grep("U", state.type)
nu = sapply(strsplit(state.type[u], "U"), function(x) as.integer(x[2]))
fow2rev = rep(0, length(nfow))
for (i in 1:length(nfow)) {
fow2rev[i] = rev[which(nfow[i] == nrev)]
}
rev2fow = rep(0, length(nrev))
for (i in 1:length(nrev)) {
rev2fow[i] = fow[which(nrev[i] == nfow)]
}
if (length(fow) != length(rev)) {
stop("Number of foward and reverse states need to be equal!\n")
}
constraints = list()
for (i in 1:length(state.type)) {
for (j in 1:length(state.type)) {
if (i %in% fow & j %in% fow) {
constraints[[length(constraints) + 1]] = list(FF = c(fow[fow ==
i], fow[fow == j]), RR = c(fow2rev[fow[fow == j]], fow2rev[fow[fow ==
i]]))
} else if (i %in% fow & j %in% rev) {
if (fow[fow == i] <= rev2fow[rev == j])
constraints[[length(constraints) + 1]] = list(FR = c(fow[fow ==
i], rev[rev == j]), FR = c(rev2fow[rev == j], fow2rev[fow ==
i]))
} else if (i %in% rev & j %in% fow) {
if (rev[rev == i] <= fow2rev[fow == j])
constraints[[length(constraints) + 1]] = list(RF = c(rev[rev ==
i], fow[fow == j]), RF = c(fow2rev[fow == j], rev2fow[rev ==
i]))
} else if (i %in% u & j %in% fow) {
constraints[[length(constraints) + 1]] = list(UF = c(u[which(u ==
i)], fow[which(fow == j)]), RU = c(fow2rev[fow[fow ==
j]], u[which(u == i)]))
} else if (i %in% fow & j %in% u) {
constraints[[length(constraints) + 1]] = list(FU = c(fow[which(fow ==
i)], u[which(u == j)]), UR = c(u[which(u == j)], fow2rev[which(fow ==
i)]))
} else if (i %in% u & j %in% u) {
if (j >= i) {
constraints[[length(constraints) + 1]] = list(UU = c(u[which(u ==
i)], u[which(u == j)]), UU = c(u[which(u == j)], u[which(u ==
i)]))
}
}
}
}
constraints
constraints
}
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