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# Copyright (c) 2019 - 2023, Adrian Dusa
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, in whole or in part, are permitted provided that the
# following conditions are met:
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * The names of its contributors may NOT be used to endorse or promote products
# derived from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
# ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
# DISCLAIMED. IN NO EVENT SHALL ADRIAN DUSA BE LIABLE FOR ANY
# DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
# (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
# ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
`combnk` <- function(n, k, ogte = 0, zerobased = FALSE) {
if (!is.numeric(k)) {
stopError("Argument k should be numeric.")
}
if (length(k) != 1L) {
stopError("Argument k should be a scalar of length 1.")
}
if (k < 0) {
stopError("Argument k should be positive.")
}
len <- length(n)
lngt1 <- len > 1
if (lngt1) {
if (len < k) {
stopError("Argument k cannot be greater than the length of n.")
}
}
else {
if (!is.numeric(n)) {
stopError("When scalar, argument n should be numeric.")
}
if (n < k) {
stopError("Argument n should be greater than or equal to k.")
}
}
copyn <- n
if (lngt1) {
n <- len
}
if (requireNamespace("QCA", quietly = TRUE)) {
resmat <- QCA::combint(n = n, k = k, ogte = ogte, zerobased = zerobased)
}
else {
e <- 0L
ncols <- choose(n, k)
h <- k - ncols == 1
out <- vector(mode = "list", length = ncols)
comb <- seq.int(k) - zerobased
comb[k] <- comb[k] - 1L
last <- n == k
i <- 1
while (comb[1] != n - k + 1 || last) {
last <- FALSE
if (e < n - h) {
h <- 1L
e <- comb[k] + zerobased
comb[k] <- comb[k] + 1L
if (comb[k] < ogte) {
comb[k] <- ogte
e <- ogte - 1
}
}
else {
e <- comb[k - h] + zerobased
h <- h + 1L
under <- logical(h)
for (j in seq(h)) {
under[j] <- (e + j - zerobased < ogte)
comb[k - h + j] <- e + j - zerobased
}
if (all(under)) {
comb[k] <- ogte
e <- ogte - 1
h <- 1L
}
}
out[[i]] <- comb
i <- i + 1
}
resmat <- do.call("cbind", out[!unlist(lapply(out, is.null))])
}
if (lngt1) {
resmat <- matrix(copyn[resmat], nrow = nrow(resmat))
}
return(resmat)
}
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