X-Git-Url: https://mattmccutchen.net/match/match.git/blobdiff_plain/2ed0056edb5a7ce3c37db76b9dcab56a00bb83d1..1a8dd46727a20bad8164af908ad027eac6abc6cc:/program/ProposalMatcher.hs diff --git a/program/ProposalMatcher.hs b/program/ProposalMatcher.hs index 46a693c..e093a13 100644 --- a/program/ProposalMatcher.hs +++ b/program/ProposalMatcher.hs @@ -1,17 +1,19 @@ module ProposalMatcher where -import NaiveMinCostFlow import Data.Array.IArray import Data.Graph.Inductive.Graph import Data.Graph.Inductive.Tree import Data.List +import Data.Either -import Instance -import ProposalMatcherConfig +import ArrayStuff +import MonadStuff +import PMInstance +import PMConfig -prefBoringness p = if prefIsVeryBoring p then 2 - else if prefIsBoring p then 1 else 0 -prefExpertness p = if prefIsExpert p then 2 - else if prefIsKnowledgeable p then 1 else 0 +prefBoringness cfg p = if prefIsVeryBoring cfg p then 2 + else if prefIsBoring cfg p then 1 else 0 +expExpertness cfg x = if expIsExpert cfg x then 2 + else if expIsKnowledgeable cfg x then 1 else 0 data REdge = REdge { reIdx :: Int, @@ -42,73 +44,117 @@ indexEdges i ((v1, v2, re):es) = let (imax, ies) = indexEdges (i+1) es in (imax, (v1, v2, re{ reIdx = i }) : ies) -doReduction :: Instance -> ReductionResult -doReduction (Instance numRvrs numProps rloadA prefA) = +implies :: Bool -> Bool -> Bool +x `implies` y = (not x) || y + +doReduction :: PMConfig -> PMInstance -> ReductionResult +doReduction cfg (PMInstance numRvrs numProps rloadA prefA expA fixA pnrA) = let + -- Need to figure out who is PC/ERC + isPC = (funcArray (0, numRvrs-1) (\i -> (rloadA ! i) == 1)) :: Array Int Bool + isPCPaper = (funcArray (0, numProps-1) (\j -> all (\i -> (isPC ! i) `implies` (prefIsConflict cfg $ (prefA ! (i, j)))) [0 .. numRvrs - 1])) :: Array Int Bool source = 0 sink = 1 rvrNode i boringness = 2 + 3*i + boringness - propNode j expertness = 2 + 3*numRvrs + 3*j + expertness - numNodes = 2 + 3*numRvrs + 3*numProps + -- We will waste a lot of nodes. Who cares, no one will visit them. + propNode j k = 2 + 3*numRvrs + 7*j + k + numNodes = 2 + 3*numRvrs + 7*numProps edIdx (i, j) = i*numProps + j in let - totalReviews = reviewsEachProposal * numProps + totalReviews = sum $ elems pnrA -- (reviewsEachProposal cfg) * numProps totalRelativeLoad = foldl (+) 0 (map (rloadA !) [0 .. numRvrs - 1]) - targetLoad i = ceiling (numAsWt totalReviews * (rloadA ! i) / totalRelativeLoad) - -- A...H refer to idea book p.429 + -- floor goes best with loadTolerance 2 + targetLoad i = floor (widenInteger totalReviews * (rloadA ! i) / totalRelativeLoad) - 1 + -- Edge groups A through H are indicated in the figure in the paper. edgesABC = do i <- [0 .. numRvrs - 1] let tl = targetLoad i + let lt = if isPC ! i then loadTolerance cfg else ercLoadTolerance cfg let freeEdgeA = (source, rvrNode i 0, REdge undefined tl 0) let nonfreeEdgesA = do - l <- [tl .. tl + loadTolerance - 1] - let costA = marginalLoadCost ((numAsWt (l - tl) + 1/2) / numAsWt loadTolerance) - [(source, rvrNode i 0, REdge undefined 1 costA)] + l <- [tl .. tl + lt - 1] + let costA = marginalLoadCost cfg ((widenInteger (l - tl) + 1/2) / widenInteger lt) + return (source, rvrNode i 0, REdge undefined 1 costA) let edgesBC = do - l <- [0 .. tl + loadTolerance - 1] - let costB = marginalBoringCost ((numAsWt l + 1/2) / numAsWt tl) + l <- [0 .. tl + lt - 1] + let costB = marginalBoringCost cfg ((widenInteger l + 1/2) / widenInteger tl) let edgeB = (rvrNode i 0, rvrNode i 1, REdge undefined 1 costB) - let costC = marginalVeryBoringCost ((numAsWt l + 1/2) / numAsWt tl) + let costC = marginalVeryBoringCost cfg ((widenInteger l + 1/2) / widenInteger tl) let edgeC = (rvrNode i 1, rvrNode i 2, REdge undefined 1 costC) [edgeB, edgeC] [freeEdgeA] ++ nonfreeEdgesA ++ edgesBC - edgesD = do + edgesDFix = do i <- [0 .. numRvrs - 1] j <- [0 .. numProps - 1] let pref = prefA ! (i, j) - if prefIsConflict pref - then [] - else [(rvrNode i (prefBoringness pref), - propNode j (prefExpertness pref), - REdge (edIdx (i, j)) 1 (assignmentCost pref))] + let xp = expA ! (i, j) + -- We must generate an edge even if there is a conflict + -- of interest; otherwise we'll fail to read its flow + -- value in doMatching. + let xp_ = expExpertness cfg xp + let pn = propNode j $ if (isPC ! i) + then xp_ + 3 -- Can assume it is a PC paper, otherwise it would conflict anyway. + else xp_ + let rn = rvrNode i (prefBoringness cfg pref) + if fixA ! (i, j) + -- Max flow will emulate one unit of flow through the edge, + -- at a cost of increasing the total flow value by 1. + then [Right (rn, sink, REdge undefined 1 0), + Right (source, pn, REdge undefined 1 0)] + else [Left (rn, pn, REdge (edIdx (i, j)) + (if prefIsConflict cfg pref then 0 else 1) + (assignmentCost cfg pref))] + edgesD = lefts edgesDFix + edgesFix = rights edgesDFix edgesEFGH = do j <- [0 .. numProps - 1] - let edgeE = (propNode j 2, propNode j 0, REdge undefined 1 (-expertBonus)) - let edgeF = (propNode j 2, propNode j 1, REdge undefined reviewsEachProposal 0) - let edgeGFirst = (propNode j 1, propNode j 0, REdge undefined 1 (-knowledgeableBonus)) - let edgeGRest = (propNode j 1, propNode j 0, REdge undefined (reviewsEachProposal-1) 0) - let edgeH = (propNode j 0, sink, REdge undefined reviewsEachProposal 0) - [edgeE, edgeF, edgeGFirst, edgeGRest, edgeH] + -- This is now different... + let numReviews = pnrA ! j + if isPCPaper ! j + then do -- Mostly traditional. + -- Expert bonus + let edgeFFirst = (propNode j 2, propNode j 1, REdge undefined 1 (-(expertBonus cfg))) + let edgeFRest = (propNode j 2, propNode j 1, REdge undefined (numReviews - 1) 0) + -- Second kowledgeable bonus + let edgeGFirst = (propNode j 1, propNode j 0, REdge undefined 1 (-(knowledgeableBonus cfg))) + let edgeGRest = (propNode j 1, propNode j 0, REdge undefined (numReviews - 2) 0) + -- Require one knowledgeable + let edgeH1 = (propNode j 1, sink, REdge undefined 1 0) + let edgeH = (propNode j 0, sink, REdge undefined (numReviews - 1) 0) + [edgeFFirst, edgeFRest, edgeGFirst, edgeGRest, edgeH1, edgeH] + else do -- New gadget; man, a lot of edges + let numPCReviews = pcReviewsEachProposal cfg + if numReviews < numPCReviews then fail "numReviews for paper < numPCReviews" else nop + -- Structure to distribute knowledgeable PC members + let edgesP = [(propNode j k, propNode j 6, REdge undefined numPCReviews 0) | k <- [4 .. 5]] + let edgesR = [(propNode j k, propNode j (k - 3), REdge undefined (numReviews - numPCReviews) 0) | k <- [4 .. 5]] + -- "Designated knowledgeable" with expert bonus + let edgeF = (propNode j 2, propNode j 1, REdge undefined (numReviews - numPCReviews) (-(expertBonus cfg))) + let edgeH1 = (propNode j 1, sink, REdge undefined (numReviews - numPCReviews) 0) + -- "Designated PC" with knowledgeable bonus + let edgeGFirst = (propNode j 6, propNode j 3, REdge undefined 1 (-(knowledgeableBonus cfg))) + let edgeGRest = (propNode j 6, propNode j 3, REdge undefined (numPCReviews - 1) 0) + let edgeH = (propNode j 3, sink, REdge undefined (numPCReviews) 0) + edgesP ++ edgesR ++ [edgeF, edgeH1, edgeGFirst, edgeGRest, edgeH] theNodes = [(x, ()) | x <- [0 .. numNodes - 1]] -- Index the non-D edges - unindexedEdges = edgesABC ++ edgesEFGH + unindexedEdges = edgesABC ++ edgesFix ++ edgesEFGH (imax, reindexedEdges) = indexEdges (numRvrs*numProps) unindexedEdges theEdges = edgesD ++ reindexedEdges in ReductionResult (mkGraph theNodes theEdges) source sink (0, imax-1) edIdx -todo = undefined -- Returns a list of reviews as ordered pairs (reviewer#, proposal#). -doMatching :: Instance -> [(Int, Int)] -doMatching inst@(Instance numRvrs numProps _ _) = - let ReductionResult graph source sink idxBounds edIdx = doReduction inst in - let flowArray = minCostFlow idxBounds reIdx reCap reCost graph (source, sink) in +doMatching :: PMConfig -> PMInstance -> PMatching +doMatching cfg inst@(PMInstance numRvrs numProps _ _ _ fixA _) = + let ReductionResult graph source sink idxBounds edIdx = doReduction cfg inst in + let flowArray = minCostFlow cfg idxBounds reIdx reCap reCost graph (source, sink) in let pairs = do i <- [0 .. numRvrs - 1] j <- [0 .. numProps - 1] - if flowArray ! edIdx (i, j) == 1 + if fixA ! (i, j) || flowArray ! edIdx (i, j) == 1 then [(i, j)] else [] in - sort pairs -- for prettiness + PMatching (sort pairs) -- for prettiness