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#' Take fractionary part and make its binary expansion
#' Auxiliary function used in expanding real numbers
#' @param x is a number between 0 and 1
#' @return Binary expansion of length 31 of the decimal input
#' @note this implementation uses the built-in function intToBits
fracbinary<-function(x){
##Using integers in R requires the input
##to intToBits to be smaller than 2^31-1
##may change but see .Machine$integer.max
return(rev(as.integer(intToBits((2^31)*x)))[-1])
}
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