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Implementing Tarjan in Clojure, step by step
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;; initial translation, with an implicit list through ::top and :prev chaining | |
;; env maps from nodes to {:low n :prev other-node} -- to the exceptions of special keys | |
(defn tarjan [nodes succs] | |
(letfn [(sc [env node] | |
(if (env node) | |
env | |
(let [n (::next env) | |
env (assoc env node {:low n :prev (::top env)} | |
::next (inc n) ::top node) | |
env (reduce (fn [env succ] | |
(let [env (sc env succ) | |
low (:low (env succ) n)] | |
(update-in env [node :low] min low))) | |
env (succs node)) | |
low (:low (env node))] | |
(if (= n low) | |
(loop [scc #{} curr (::top env) env env] | |
(let [scc (conj scc curr) | |
prev (:prev (env curr)) | |
env (update-in env [curr] dissoc :low)] | |
(if (= curr node) | |
(-> env | |
(update-in [::sccs] conj scc) | |
(assoc ::top prev)) | |
(recur scc prev env)))) | |
env))))] | |
(::sccs (reduce sc {::top ::bottom ::next 0 ::sccs #{}} nodes)))) | |
=> (def g {:c #{:d} :a #{:b :c} :b #{:a :c}}) | |
=> (tarjan (keys g) g) | |
#{#{:c} #{:d} #{:a :b}} |
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@cgrand Thank you for this! Would you consider adding a license (maybe MIT?) to this gist?
I'd like to use your implementation in a library but without a license that's not possible.