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Ingy döt Net 2023-07-01 11:58:00 -04:00
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commit f23f22d71c
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27
Task/Dijkstras-algorithm/F-Sharp/dijkstras-algorithm-1.fs Normal file
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//Dijkstra's algorithm: Nigel Galloway, August 5th., 2018
[<CustomEquality;CustomComparison>]
type Dijkstra<'N,'G when 'G:comparison>={toN:'N;cost:Option<'G>;fromN:'N}
override g.Equals n =match n with| :? Dijkstra<'N,'G> as n->n.cost=g.cost|_->false
override g.GetHashCode() = hash g.cost
interface System.IComparable with
member n.CompareTo g =
match g with
| :? Dijkstra<'N,'G> as n when n.cost=None -> (-1)
| :? Dijkstra<'N,'G> when n.cost=None -> 1
| :? Dijkstra<'N,'G> as g -> compare n.cost g.cost
| _-> invalidArg "n" "expecting type Dijkstra<'N,'G>"
let inline Dijkstra N G y =
let rec fN l f=
if List.isEmpty l then f
else let n=List.min l
if n.cost=None then f else
fN(l|>List.choose(fun n'->if n'.toN=n.toN then None else match n.cost,n'.cost,Map.tryFind (n.toN,n'.toN) G with
|Some g,None,Some wg ->Some {toN=n'.toN;cost=Some(g+wg);fromN=n.toN}
|Some g,Some g',Some wg when g+wg<g'->Some {toN=n'.toN;cost=Some(g+wg);fromN=n.toN}
|_ ->Some n'))((n.fromN,n.toN)::f)
let r = fN (N|>List.map(fun n->{toN=n;cost=(Map.tryFind(y,n)G);fromN=y})) []
(fun n->let rec fN z l=match List.tryFind(fun (_,g)->g=z) r with
|Some(n',g') when y=n'->Some(n'::g'::l)
|Some(n',g') ->fN n' (g'::l)
|_ ->None
fN n [])

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Task/Dijkstras-algorithm/F-Sharp/dijkstras-algorithm-2.fs Normal file
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type Node= |A|B|C|D|E|F
let G=Map[((A,B),7);((A,C),9);((A,F),14);((B,C),10);((B,D),15);((C,D),11);((C,F),2);((D,E),6);((E,F),9)]
let paths=Dijkstra [B;C;D;E;F] G A
printfn "%A" (paths E)
printfn "%A" (paths F)