Working with OCaml is still really hard for me. The whole project would’ve been a hundred lines in a language I’m familiar with, but it ended up near 900 (though admittedly, this is much more rigorous). But if I want to be knowledgable enough about it to even be able to dismiss it, I must continue to try.

My primary observation so far is that the common claim I see about ML-- “Once your program compiles, it does the right thing”-- is very true in practice. That's really awesome and useful. On the other hand, the compiler errors you get can be really hard to track down. (Those two aren’t necessarily related: the first (good) one is a product of a strong static type system, while the second (bad) one comes from the type inference.)

Feel free to criticize; I’m still trying to learn. I also didn’t use any (for example) hash tables or arrays so I doubt I get the same runtime as a real implementation would.

let dijkstra edges src = (* given full edge list and source, return list of outgoing edges from source. *) let rec outgoing edges src = match edges with [] -> [] | Edge(n1, c, n2, _)::rest -> let outs = outgoing rest src in if n1 = src then (n2, c)::outs else if n2 = src then (n1, c)::outs else outs in (* tentative list, new tentative item -> updated tentative list (update the cost if the item’s already there, otherwise prepend it.) *) let rec update_tentative tentative ((nn, nc, np) as newt) = match tentative with [] -> [newt] | ((n,c,p) as orig)::rest -> if nn = n then (if nc < c then newt::rest else orig::rest) else orig::(update_tentative rest newt) in (* one iteration of dijkstra’s algorithm. process all neighbors of the latest confirmed node. *) let dijkstra_iter confirmed tentative = let (cur,cost,_) = List.hd confirmed in (* update_tentative on all neighbors of current node. *) let rec update_neighbors t outs = let update_neighbor t (n,ec) = if (List.exists (fun (conf,_,_) -> conf=n) confirmed) then t else update_tentative t (n,cost+ec,cur) in match outs with [] -> t | out::rest -> let t’ = update_neighbor t out in update_neighbors t’ rest in (* remove and return lowest-cost entry on tentative list. *) let pop_lowest t = let rec find_lowest t ((_,lowcost,_) as lowest) = match t with [] -> lowest | ((_,cost,_) as cur)::rest -> if cost < lowcost then find_lowest rest cur else find_lowest rest lowest in let rec remove target l = match l with [] -> [] | cur::rest -> if cur = target then rest else cur::(remove target rest) in let lowest = find_lowest t (List.hd t) in (lowest, remove lowest t) in (* the heart of the algorithm: *) (* (1) update tentative with all of cur’s outgoing connections; *) let out = (outgoing edges cur) in let t’ = update_neighbors tentative out in (* (2) and pop the lowest-cost tentative onto confirmed. *) let (lowest, t’‘) = pop_lowest t’ in (lowest::confirmed, t’‘) in let rec run c t = match t with [] -> c (* done *) | _ -> let (c’, t’) = dijkstra_iter c t in run c’ t’ in (* need to iterate once so something is on the tentative list to start with. i need a do..while loop, not a while loop. :P *) let (c, t) = dijkstra_iter [ (src, 0, src) ] [] in run c t

Update: stupid LogJam ate some of my double-primes. Sorry about that.