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-# $Id$
-
-# Copyright (C) 2012 René Lehmann, Johannes Ranke
-# Contact: jranke@uni-bremen.de
-
-# This file is part of the R package mkin
-
-# mkin is free software: you can redistribute it and/or modify it under the
-# terms of the GNU General Public License as published by the Free Software
-# Foundation, either version 3 of the License, or (at your option) any later
-# version.
-
-# This program is distributed in the hope that it will be useful, but WITHOUT
-# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
-# FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
-# details.
-
-# You should have received a copy of the GNU General Public License along with
-# this program. If not, see <http://www.gnu.org/licenses/>
-
-ilr <- function(x) {
- z <- vector()
- for (i in 1:(length(x) - 1)) {
- z[i] <- sqrt(i/(i+1)) * log((prod(x[1:i]))^(1/i) / x[i+1])
- }
- return(z)
-}
-
-invilr<-function(x) {
- D <- length(x) + 1
- z <- c(x, 0)
- y <- rep(0, D)
- s <- sqrt(1:D*2:(D+1))
- q <- z/s
- y[1] <- sum(q[1:D])
- for (i in 2:D) {
- y[i] <- sum(q[i:D]) - sqrt((i-1)/i) * z[i-1]
- }
- z <- vector()
- for (i in 1:D) {
- z[i] <- exp(y[i])/sum(exp(y))
- }
-
- # Work around a numerical problem with NaN values returned by the above
- # Only works if there is only one NaN value: replace it with 1
- # if the sum of the other components is < 1e-10
- if (sum(is.na(z)) == 1 && sum(z[!is.na(z)]) < 1e-10)
- z = ifelse(is.na(z), 1, z)
-
- return(z)
-}

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