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#' Take a matrix of two numbers given in their binary expansion
#' one in each of the two rows
#' and return the interleaving of the two numbers
#'
#' @param rmat a matrix with two times m rows corresponding to the
#' the expansions of the m numbers to be interleaved.
#' @param sgn is the sign vector associated to the numbers to be weaved
#'
weave = function(rmat, sgn) {
##weave the two numbers and keep an extra
##rmat is a matrix coming from
##sign element??
n = nrow(rmat)
p = ncol(rmat)
m = n/2
r1 = matrix(0, nrow = 2, ncol = m*p + m + 1)
w = m*c(0:(p-1))
for(i in 1:m) {
r1[1,w+i] = rmat[2*i-1,]
r1[2,w+i] = rmat[2*i,]
}
sgn = (sgn + 1)/2
l = which(r1[1,] == 1)
if (sum(l) != 0) l1 = max(l)
else l1 = 0
r1[1,(l1+1):(l1+m)] = sgn
r1[1, l1+m+1] = 1
return(r1)
}
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