Translated minimum_spanning_tree() (#3)

This commit is contained in:
Waldir Leoncio 2022-12-23 10:45:50 +01:00
parent 9173b8bf70
commit 547bb7309c
3 changed files with 50 additions and 46 deletions

View file

@ -57,6 +57,7 @@ importFrom(matlab2r,isfield)
importFrom(matlab2r,isspace) importFrom(matlab2r,isspace)
importFrom(matlab2r,max) importFrom(matlab2r,max)
importFrom(matlab2r,min) importFrom(matlab2r,min)
importFrom(matlab2r,nargin)
importFrom(matlab2r,ones) importFrom(matlab2r,ones)
importFrom(matlab2r,questdlg) importFrom(matlab2r,questdlg)
importFrom(matlab2r,rand) importFrom(matlab2r,rand)

View file

@ -1,51 +1,53 @@
minimum_spanning_tree <- function(C1, C2) stop("needs translation") minimum_spanning_tree <- function(C1, C2) {
# function A = minimum_spanning_tree(C1, C2) # Find the minimum spanning tree using Prim's algorithm.
# % # C1(i, j) is the primary cost of connecting i to j.
# % Find the minimum spanning tree using Prim's algorithm. # C2(i, j) is the (optional) secondary cost of connecting i to j, used to break ties.
# % C1(i,j) is the primary cost of connecting i to j. # We assume that absent edges have 0 cost.
# % C2(i,j) is the (optional) secondary cost of connecting i to j, used to break ties. # To find the maximum spanning tree, used - 1 * C.
# % We assume that absent edges have 0 cost. # See Aho, Hopcroft & Ullman 1983, "Data structures and algorithms", p 237.
# % To find the maximum spanning tree, used -1*C.
# % See Aho, Hopcroft & Ullman 1983, "Data structures and algorithms", p 237.
# % Prim's is O(V^2). Kruskal's algorithm is O(E log E) and hence is more efficient # Prim's is O(V^2). Kruskal's algorithm is O(E log E) and hence is more efficient
# % for sparse graphs, but is implemented in terms of a priority queue. # for sparse graphs, but is implemented in terms of a priority queue.
# % We partition the nodes into those in U and those not in U. # We partition the nodes into those in U and those not in U.
# % closest(i) is the vertex in U that is closest to i in V-U. # closest(i) is the vertex in U that is closest to i in V - U.
# % lowcost(i) is the cost of the edge (i, closest(i)), or infinity is i has been used. # lowcost(i) is the cost of the edge (i, closest(i)), or infinity is i has been used.
# % In Aho, they say C(i,j) should be "some appropriate large value" if the edge is missing. # In Aho, they say C(i, j) should be "some appropriate large value" if (the edge is missing.) {
# % We set it to infinity. # We set it to infinity.
# % However, since lowcost is initialized from C, we must distinguish absent edges from used nodes. # However, since lowcost is initialized from C, we must distinguish absent edges from used nodes.
# n = length(C1); n <- length(C1)
# if nargin==1, C2 = zeros(n); end if (nargin() == 1) {
# A = zeros(n); C2 <- zeros(n)
}
A <- zeros(n)
# closest = ones(1,n); closest <- ones(1, n)
# used = zeros(1,n); % contains the members of U used <- zeros(1, n)# contains the members of U
# used(1) = 1; % start with node 1 used[1] <- 1# start with node 1
# C1(find(C1==0))=inf; C1[find(C1 == 0)] <- Inf
# C2(find(C2==0))=inf; C2[find(C2 == 0)] <- Inf
# lowcost1 = C1(1,:); lowcost1 <- C1[1, ]
# lowcost2 = C2(1,:); lowcost2 <- C2[1, ]
# for i=2:n for (i in 2:n) {
# ks = find(lowcost1==min(lowcost1)); ks <- find(lowcost1 == min(lowcost1))
# k = ks(argmin(lowcost2(ks))); k <- ks[argmin(lowcost2(ks))]
# A(k, closest(k)) = 1; A[k, closest[k]] <- 1
# A(closest(k), k) = 1; A[closest[k], k] <- 1
# lowcost1(k) = inf; lowcost1[k] <- Inf
# lowcost2(k) = inf; lowcost2[k] <- Inf
# used(k) = 1; used[k] <- 1
# NU = find(used==0); NU <- find(used == 0)
# for ji=1:length(NU) for (ji in 1:length(NU)) {
# for j=NU(ji) for (j in NU[ji]) {
# if C1(k,j) < lowcost1(j) if (C1[k, j] < lowcost1[j]) {
# lowcost1(j) = C1(k,j); lowcost1[j] <- C1[k, j]
# lowcost2(j) = C2(k,j); lowcost2[j] <- C2[k, j]
# closest(j) = k; closest[j] <- k
# end }
# end }
# end }
# end }
return(A)
}

View file

@ -10,4 +10,5 @@
#' size sortrows squeeze strcmp times zeros disp #' size sortrows squeeze strcmp times zeros disp
#' @importFrom stats runif #' @importFrom stats runif
#' @importFrom zeallot %<-% #' @importFrom zeallot %<-%
#' @importFrom matlab2r nargin
NULL NULL