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Dijkstra's Algorithm in Clojure
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(def ^:private inf (Long/MAX_VALUE)) | |
(defn neighbors | |
"Returns n's neighbors, optionally filtered if unvisited" | |
([g n] (get g n {})) | |
([g n uv] (select-keys (neighbors g n) uv))) | |
(defn update-costs | |
"Returns costs updated with any shorter paths found to curr's unvisisted | |
neighbors by using curr's shortest path" | |
[g costs curr unvisited] | |
(let [curr-cost (costs curr)] | |
(reduce | |
(fn [c [nbr nbr-cost]] (update-in c [nbr] (partial min (+ curr-cost nbr-cost)))) | |
costs | |
(neighbors g curr unvisited)))) | |
(defn dijkstra | |
"Returns a mapping of nodes to minimum cost from src using Dijkstra algorithm. | |
Graph is a mapping of nodes to map of neighboring nodes and associated cost. | |
Optionally, specify :target node to return only the min price for target" | |
[g src & {:keys [target]}] | |
(loop [costs (assoc (zipmap (keys g) (repeat inf)) src 0) | |
curr src | |
unvisited (disj (apply hash-set (keys g)) src)] | |
(if (or (empty? unvisited) (= inf (costs curr))) | |
costs | |
(let [costs' (update-costs g costs curr unvisited) | |
curr' (first (sort-by costs' unvisited))] | |
(if (= target curr) | |
(costs' target) | |
(recur costs' | |
curr' | |
(disj unvisited curr'))))))) |
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