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#######################################################################
# TSP - Traveling Salesperson Problem
# Copyrigth (C) 2011 Michael Hahsler and Kurt Hornik
#
# This program 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 2 of the License, or
# 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, write to the Free Software Foundation, Inc.,
# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
## interface to the Concorde algorithm
## (can only handle TSP and no neg. distances!)
tsp_concorde <- function(x, control = NULL){
if(!is.null(control$exe)) warning("exe is deprecated. Use concorde_path() instead!")
## get parameters
control <- .get_parameters(control, list(
clo = "",
precision = 6,
exe = .find_exe(control$exe, "concorde"),
verbose = TRUE
))
precision <- control$precision
## check x
if(inherits(x, "TSP")){
## fix neg. values
min_x <- min(x)
if(min_x<0) x <- x - min_x
## get max (excluding) to check for possible integer overflows
max_x <- max(x)
if(n_of_cities(x) < 10){
## <10 cities: concorde can only handle max 2^15
MAX <- 2^15
if(max_x > MAX) stop("Concorde can only handle distances < 2^15 for less than 10 cities")
prec <- floor(log10(MAX / max_x))
if(prec < precision) {
precision <- prec
if(control$verbose)
warning(paste("Concorde can only handle distances < 2^15 for",
"less than 10 cities. Reducing precision to",
precision), immediate. = TRUE)
}
}else{
## regular constraint on integer is 2^31 - 1
MAX <- 2^31 - 1
prec <- floor(log10(MAX / max_x / n_of_cities(x)))
if(prec < precision) {
precision <- prec
if(control$verbose)
warning(paste("Concorde can only handle distances < 2^31.",
"Reducing precision for Concorde to", precision), immediate. = TRUE)
}
}
}else if(inherits(x, "ETSP")) {
## nothing to do!
}else stop("Concorde only handles TSP and ETSP.")
## get temp files and change working directory
wd <- tempdir()
dir <- getwd()
setwd(wd)
on.exit(setwd(dir))
### fix for Windows by Stephen Eick
##temp_file <- tempfile(tmpdir = wd)
temp_file <- basename(tempfile(tmpdir = wd))
## file name needs to be unique
tmp_file_in <- paste(temp_file, ".dat", sep = "")
tmp_file_out <- paste(temp_file, ".sol", sep = "")
write_TSPLIB(x, file = tmp_file_in,
precision = precision)
## change working directory
## do the call and read back result
## we do not check return values of concorde since they are not
## very consistent
system2(control$exe,
args = paste("-x", control$clo, "-o", tmp_file_out, tmp_file_in),
stdout = if(control$verbose) "" else FALSE,
stderr = if(control$verbose) "" else FALSE,
)
if(!file.access(tmp_file_out) == 0)
stop("Problems with reading Concorde's output.\nIs concorde properly installed?\nFor details see ? Concorde")
##else cat("Concorde done.\n")
order <- scan(tmp_file_out, what = integer(0), quiet = TRUE)
## remove number of nodes and add one (result starts with 0)
order <- order[-1] + 1L
## tidy up
unlink(c(tmp_file_in, tmp_file_out))
order
}
## interface to the Concorde's Chained Lin-Kernighan algorithm
## (can only handle TSP, handles neg. distances)
tsp_linkern <- function(x, control = NULL){
if(!is.null(control$exe))
warning("exe is deprecated. Use concorde_path() instead!")
## get parameters
control <- .get_parameters(control, list(
exe = .find_exe(control$exe, "linkern"),
clo = "",
precision = 6,
verbose = TRUE
))
precision <- control$precision
## have to set -r for small instances <8
if(n_of_cities(x) <=8)
control$clo <- paste(control$clo, "-k", n_of_cities(x))
## check x
if(inherits(x, "TSP")) {
## check for possible overflows
max_x <- max(abs(x[is.finite(x)]))
MAX <- 2^31 - 1
prec <- floor(log10(MAX / max_x / n_of_cities(x)))
if(prec < precision) {
precision <- prec
if(control$verbose)
warning(paste("Linken can only handle distances < 2^31.",
"Reducing precision to", precision), immediate. = TRUE)
}
}else if(inherits(x, "ETSP")) {
## nothing to do
} else stop("Linkern only works for TSP and ETSP.")
## get temp files
wd <- tempdir()
temp_file <- tempfile(tmpdir = wd)
## file name needs to be unique
tmp_file_in <- paste(temp_file, ".dat", sep = "")
tmp_file_out <- paste(temp_file, ".sol", sep = "")
## prepare data (neg_inf = 0 so everything is > 0)
write_TSPLIB(x, file = tmp_file_in,
precision = precision)
## change working directory
dir <- getwd()
setwd(wd)
on.exit(setwd(dir))
## do the call and read back result
## we do not check return values of concorde since they are not
## very consistent
system2(control$exe, args = paste("-o",
tmp_file_out, control$clo, tmp_file_in),
stdout = if(control$verbose) "" else FALSE,
stderr = if(control$verbose) "" else FALSE)
if(!file.access(tmp_file_out) == 0)
stop("Problems with reading linkern's output. Is linkern properly installed?")
##else cat("Concorde done.\n")
order <- read.table(tmp_file_out)[,1]
## remove number of nodes and add one (result starts with 0)
order <- order + as.integer(1)
## tidy up
unlink(c(tmp_file_in, tmp_file_out))
order
}
## get help page
concorde_help <- function() {
cat("The following options can be specified in solve_TSP with method \"concorde\" using clo in control:\n\n")
system2(.find_exe(NULL, "concorde"), args = "")
}
linkern_help <- function() {
cat("The following options can be specified in solve_TSP with method \"linkern\" using clo in control:\n\n")
system2(.find_exe(NULL, "linkern"), args = "")
}
## path
concorde_path <- local({
.path <- NULL
function(path){
if(missing(path)) {
if(!is.null(.path)) return(.path)
else {
## find concorde and/or linkern
p <- dirname(Sys.which("concorde"))
if(p == "") p <- dirname(Sys.which("linkern"))
if(p == "") stop("Can not find executables for concorde or linkern. Please install the executables or set path manually.")
return(p)
}
} else {
if(!is.null(path)) {
ex <- c(list.files(path, pattern = "concorde",
ignore.case = TRUE),
list.files(path, pattern = "linkern",
ignore.case = TRUE))
if(length(ex) < 1)
stop(paste("no executable (concorde and/or linkern) found in",
path))
cat("found:", ex, "\n")
}
.path <<- path
invisible(.path)
}
}
})
## helper to find the concorde executable
.find_exe <- function(exe = NULL, prog) {
## if not specified
if(is.null(exe)) {
## was the path set ?
if(!is.null(concorde_path()))
exe <- paste(concorde_path(), .Platform$file.sep, prog, sep ="")
## no, so it must be in the systems execution path
else exe <- prog
}
exe
}
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