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#' Auxiliary function that takes avector and produces a single number through
#' a Borel isomorphism using the wholebinary and backdec functions.
#' @param xvec is a vector of real numbers
#' @return produces a single real number by converting each element
# of x to binary, interlacing the digits, and reconverting it back to a single
# real number. (This is the Borel isomorphism.)
borelmerge = function(xvec) {
n = length(xvec)
rmatout = matrix(0, nrow = 2*n, ncol = 31)
sgns = rep(0,n)
for (i in 1:n) {
w = wholebinary(xvec[i])
##Fill in the r matrix with two
rmatout[2*i-1, ] = w$r[1,]
rmatout[2*i, ] = w$r[2,]
sgns[i] = w$s
}
if (ncol(rmatout)<32)
{numberout<-backdec(weave(rmatout,sgns), 1)}
else
{stop("Need help here")}
return(numberout)
}
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