Dear R users,


I have a problem i want to check some patrices and check them if they are identical when from the one i change the order of the rows (the first row goes third etc) or/and change the order of the columns or/and if i change the signs of the one or more columns 

isomorphic <- function (m1, m2) {    
    combs.c <- combn(ncol(m1), 2)
    nc <- ncol(combs.c)
    ind.c <- vector("logical", nc)
    for (i in 1:nc) {
        m <- m1
        m[, combs.c[, i]] <- m[, rev(combs.c[, i])]
        ind.c[i] <- all(m == m2)
    }
    combs.r <- combn(nrow(m1), 2)
    nr <- ncol(combs.r)
    ind.r <- vector("logical", nr)
    for (i in 1:nr) {
        m <- m1
        m[combs.r[, i], ] <- m[rev(combs.r[, i]), ]
        ind.r[i] <- all(m == m2)
    }
    ind.sgn <- lapply(1:ncol(m1), combn, x = ncol(m1))
    ind.sgn <- unlist(lapply(ind.sgn, function (ind) {
        ncc <- ncol(ind)
        out <- vector("logical", ncc)
        for (l in 1:ncc) {
            m <- m1
            m[, ind[, l]] <- -m[, ind[, l]]
            out[l] <- all(m == m2)
        }
        out
    }))
    any(ind.c, ind.r, ind.sgn)
}


the programme works perfectly when it check the rows, columns and signs seperatly
but it doesnt work when i have the combination from the rows, column and signs

i have these example matrices 
a<-matrix(c(1,1,1,1,-1,-1,-1,-1,-1,1,1,1),ncol=4,byrow=T)
a1<-matrix(c(-1,-1,-1,-1,1,1,1,1,-1,1,1,1),ncol=4,byrow=T)
a2<-matrix(c(1,1,1,1,-1,-1,-1,-1,1,1,1,1),ncol=4,byrow=T)
a3<-matrix(c(1,1,1,1,-1,-1,-1,-1,1,1,1,-1),ncol=4,byrow=T)
a4<-matrix(c(1,1,1,-1,-1,-1,-1,1,-1,1,1,-1),ncol=4,byrow=T)
a5<-matrix(c(1,1,1,-1,-1,-1,-1,1,1,-1,1,-1),ncol=4,byrow=T)
a6<-matrix(c(1,1,1,1,-1,-1,-1,-1,1,-1,1,1),ncol=4,byrow=T)
a7<-matrix(c(1,1,-1,-1,-1,-1,1,1,-1,1,-1,-1),ncol=4,byrow=T)

only the a2 is False all the others must be True but a5 ( the combination) is actualy true but the programme shows that it false
any suggestions will be welcome
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