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module Library.WriteProof (
write,
writeAll,
doWriteProof,
singleCommands,
next,
genPart,
writeGraph
) where
import Data.Maybe
import Data.Graph.Inductive.Graph( LNode, LEdge, Node, Edge, (&) )
import qualified Data.Graph.Inductive.Graph as Graph
import Data.Graph.Inductive.Tree
import Data.Map( Map, (!) )
import qualified Data.Map as Map
import Data.Set( Set )
import qualified Data.Set as Set
import Data.List
import Library.Stack( Stack, at, (<:>) )
import qualified Library.Stack as Stack
import Library.Parse( isNumber, fst3, snd3, thd3 )
import Library.Cost
import Library.ProofGraph
import Library.GraphPart
import Library.Usage
orderNodes :: PGraph -> [Node] -> [Node]
orderNodes graph nodeList = nodeList
--placeholder
-- buggy
multiCommandsSimple :: PGraph -> UsageMap -> [Node] -> PGraph
multiCommandsSimple graph usemap nodeList =
let multiNodes = filter (\x -> nodeOutput graph x > 1 && x `notElem` nodeList) (Graph.nodes graph)
umap = Map.filterWithKey (\n _ -> n `elem` multiNodes) usemap
f = (\gr node edgemap ->
let out = nodeOutput gr node
index = next out gr
edgeList = Map.toList edgemap
edgeToNode = (\x -> (fst3 x, fst . thd3 $ x))
sorted = sortBy (\(a,b) (c,d) -> compare (snd . thd3 $ a) (snd . thd3 $ c)) edgeList
grouped = groupBy (\x y -> (snd . thd3 . fst $ x) == (snd . thd3 . fst $ y)) sorted
defEdge = fst (minimumBy useSort edgeList)
removeEdges = map (fst . (maximumBy useSort)) grouped
refEdges = map (filter (\x -> x /= defEdge && x `notElem` removeEdges) . (map fst)) grouped
usedArgs = filter (\x -> x `elem` (map (snd . thd3) removeEdges)) [1..out]
defGen = (\num ->
if (num > out)
then let reqEdges = filter (\x -> (snd . thd3 . fst $ x) == (snd . thd3 $ defEdge) && fst x /= defEdge) edgeList
refArg = (snd . thd3 $ defEdge) - 1
in if (reqEdges == [])
then [index!!refArg, "ref"] --remove
else [index!!refArg, "ref"]
else if (num == (snd . thd3 $ defEdge) && num == out)
then if (filter (\x -> x /= defEdge && (snd . thd3 $ x) == num) (map fst edgeList) == [])
then []
else [index!!(num-1), "def"]
else if (num `elem` usedArgs)
then [index!!(num-1), "def", "pop"] ++ defGen (num+1)
else ["pop"] ++ defGen (num+1))
defPart = (genPart (defGen 1) True, Just (node,1), [edgeToNode defEdge])
removeList = filter (\(x,y) -> y /= defEdge) (zip usedArgs removeEdges)
removeParts = map (\(x,y) -> (genPart [index!!(x-1), "ref"] False, Nothing, [edgeToNode y])) removeList
refList = filter (\(x,y) -> y /= []) (zip usedArgs refEdges)
refParts = map (\(x,y) -> (genPart [index!!(x-1), "ref"] False, Nothing, map edgeToNode y)) refList
partList = defPart:(removeParts ++ refParts)
edgesRemoved = foldl' (\x (y,z) -> Graph.delLEdge y x) gr edgeList
partsAdded = graphAddList partList edgesRemoved
in partsAdded)
in foldl' (\g n -> f g n (fromJust (Map.lookup n umap))) graph multiNodes
singleCommands :: PGraph -> UsageMap -> [Node] -> PGraph
singleCommands graph usemap nodeList =
let singleNodes = filter (\x -> nodeOutput graph x == 1 && Graph.indeg graph x > 1) (Graph.nodes graph)
umap = Map.filterWithKey (\n _ -> n `elem` singleNodes) usemap
s = (\gr node edgemap ->
let index = head (next 1 gr)
edgeList = Map.toList edgemap
defEdge = fst (minimumBy useSort edgeList)
removeEdge = fst (maximumBy useSort edgeList)
refEdgeList = filter (\x -> x /= defEdge && x /= removeEdge) (map fst edgeList)
defPart = genPart [index, "def"] True
refPart = genPart [index, "ref"] False
removePart = genPart [index, "ref"] False
defNode = (fst3 defEdge, fst . thd3 $ defEdge)
removeNode = (fst3 removeEdge, fst . thd3 $ removeEdge)
refNodeList = map (\x -> (fst3 x, fst . thd3 $ x)) refEdgeList
partList = [(defPart, Just (node, 1), [defNode]), (removePart, Nothing, [removeNode])]
partList' = if (refNodeList == []) then partList else (refPart, Nothing, refNodeList):partList
edgesRemoved = foldl' (\x (y,z) -> Graph.delLEdge y x) gr edgeList
partsAdded = graphAddList partList' edgesRemoved
in partsAdded)
f = (\gr node edgemap ->
let reuse = Graph.indeg graph node
costToStore = (nodeCost graph node) + (listCost ["def","0"]) + (reuse - 1) * (listCost ["ref","0"])
costToIgnore = reuse * (nodeCost graph node)
in if (costToStore >= costToIgnore)
then gr
else s gr node edgemap)
in foldl' (\g n -> f g n (fromJust (Map.lookup n umap))) graph singleNodes
genPart :: [String] -> Bool -> GraphPart
genPart labels hasInput =
let nodeList = zip [1..] labels
edgeFunc = (\edges nodes ->
if (nodes == [] || (tail nodes) == [])
then edges
else let newEdge = (fst (nodes!!1), fst (nodes!!0), (1,1))
in edgeFunc (newEdge:edges) (tail nodes))
edgeList = edgeFunc [] nodeList
input = if (hasInput) then Just (1,1) else Nothing
output = Just (length labels, 1)
in graphPart nodeList edgeList input output
next :: Int -> PGraph -> [String]
next num graph =
let nodeList = filter (isNumber . snd) (Graph.labNodes graph)
numList = nub . (map (read . snd)) $ nodeList
f x y = if (x `elem` y) then f (x + 1) y else x
g x y = if (x == 0) then y else g (x - 1) (f 0 (y ++ numList) : y)
in map show (g num [])
removeUnused :: PGraph -> [Node] -> PGraph
removeUnused graph nodeList =
let unused = filter (\x -> Graph.indeg graph x == 0 && x `notElem` nodeList) (Graph.nodes graph)
in if (unused == [])
then graph
else removeUnused (Graph.delNodes unused graph) nodeList
resolve :: PGraph -> [Node] -> PGraph
resolve graph nodeList =
let liveGraph = removeUnused graph nodeList
umap = usageMap graph nodeList (Set.fromList (Graph.nodes liveGraph))
singlesDone = singleCommands liveGraph umap nodeList
multisDone = multiCommandsSimple singlesDone umap nodeList
in multisDone
writeGraph :: PGraph -> Node -> [String]
writeGraph graph node =
let label = fromJust (Graph.lab graph node)
argList = [1 .. (Graph.outdeg graph node)]
f s a = let arg = getArg graph node a
in if (isNothing arg)
then s
else (writeGraph graph (fromJust arg)) ++ s
in foldl' f [label] argList
write :: PGraph -> Node -> [String]
write graph node =
writeGraph (resolve graph [node]) node
writeAll :: PGraph -> [Node] -> [String]
writeAll graph nodeList =
let ordered = orderNodes graph nodeList
resolved = resolve graph ordered
f g n = if (n == [])
then []
else (writeGraph g (head n)) ++ (f g (tail n))
in f resolved ordered
-- metric relates to minimum amount of work done not-on-top of the stack
doWriteProof :: PGraph -> [String]
doWriteProof graph =
let initList = filter (\x -> Graph.indeg graph x == 0) (Graph.nodes graph)
in writeAll graph initList
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