summaryrefslogtreecommitdiff
path: root/WriteProof.hs
blob: 00c4802a424b41c0d867cdbecbaa13acbd4ca0c0 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
module WriteProof (
    write,
    writeAll,
    doWriteProof,
    singleCommands
    ) 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.List
import Stack( Stack, at, (<:>) )
import qualified Stack as Stack
import Parse( isNumber )



output :: Gr String (Int,Int) -> Node -> Int
output graph node =
    let label = fromJust (Graph.lab graph node)
    in case label of
           "defineConst" -> 2
           "defineTypeOp" -> 5
           x -> 1



reuse :: Gr String (Int,Int) -> Node -> Int
reuse graph node =
    let labels = map snd (Graph.lpre graph node)
        f = (\x y -> length (filter (\z -> fst y == fst z) x))
        reuseList = map (f labels) labels
    in maximum reuseList



cost :: Gr String (Int,Int) -> Node -> Int
cost graph node =
    length (subGraph graph node)



next :: Gr String (Int,Int) -> String
next 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)
    in show (f 0 numList)



subGraph :: Gr a b -> Node -> [Node]
subGraph graph node =
    let sucList = nub (Graph.suc graph node)
    in nub (node : (foldl' (++) [] (map (subGraph graph) sucList)))



fst3 :: (a,b,c) -> a
fst3 (a,_,_) = a

snd3 :: (a,b,c) -> b
snd3 (_,b,_) = b

thd3 :: (a,b,c) -> c
thd3 (_,_,c) = c



orderNodes :: Gr String (Int,Int) -> [Node] -> [Node]
orderNodes graph nodeList = nodeList
--placeholder



multiCommands :: Gr String (Int,Int) -> [Node] -> Gr String (Int,Int)
multiCommands graph nodeList = graph
--placeholder



singleCommands :: Gr String (Int,Int) -> [Node] -> Gr String (Int,Int)
singleCommands graph nodeList =
    let r = (\g n p -> let g' = if (((output g n) /= 1) || ((Graph.indeg g n) == 1) || ((cost g n) < 3) || ((cost g n) == 3 && (Graph.indeg g n) < 3))
                                then g
                                else let index = next g --show . length . (nubBy (\x y -> snd x == snd y)) $ (filter (isNumber . snd) (Graph.labNodes g))
                                         new = Graph.newNodes 4 g  -- 2 new nodes for def and 2 new nodes for ref

                                         oldEdge = head $ (filter (\x -> fst3 x == p) (Graph.inn g n))
                                         defNodes = [(new!!0, "def"), (new!!1, index)]
                                         defEdges = [(p, fst (defNodes!!0), (fst . thd3 $ oldEdge, 1)),
                                                     (fst (defNodes!!0), fst (defNodes!!1), (1,1)),
                                                     (fst (defNodes!!1), n, (1,1))]
                                         defAdded = (Graph.insEdges defEdges) . (Graph.insNodes defNodes) . (Graph.delLEdge oldEdge) $ g

                                         refNodes = [(new!!2, "ref"), (new!!3, index)]
                                         refEdge = (fst (refNodes!!0), fst (refNodes!!1), (1,1))
                                         refAdded = (Graph.insEdge refEdge) . (Graph.insNodes refNodes) $ defAdded
                                         convertEdge = (\g e -> let new = (fst3 e, fst (refNodes!!0), thd3 e)
                                                                in (Graph.insEdge new) . (Graph.delLEdge e) $ g)
                                         done = foldl' convertEdge refAdded (filter (\x -> fst3 x /= fst (defNodes!!1)) (Graph.inn refAdded n))
                                     in done
                       in f g' n)

        f = (\g n -> let argList = reverse [1 .. (Graph.outdeg g n)]
                     in foldl' (\x y -> r x (getArg x n y) n) g argList)

    in foldl' f graph nodeList



removeUnused :: Gr String (Int,Int) -> [Node] -> Gr String (Int,Int)
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 :: Gr String (Int,Int) -> [Node] -> Gr String (Int,Int)
resolve graph nodeList =
    foldl' (\g f -> f g nodeList) graph [removeUnused, singleCommands, multiCommands]



getArg :: Gr String (Int,Int) -> Node -> Int -> Node
getArg graph node arg =
    snd3 . head $ (filter (\x -> (fst . thd3 $ x) == arg) (Graph.out graph node))



writeGraph :: Gr String (Int,Int) -> Node -> [String]
writeGraph graph node =
    let label = fromJust (Graph.lab graph node)
        argList = [1 .. (Graph.outdeg graph node)]
    in foldl' (\s a -> (writeGraph graph (getArg graph node a)) ++ s) [label] argList



write :: Gr String (Int,Int) -> Node -> [String]
write graph node =
    writeGraph (resolve graph [node]) node



writeAll :: Gr String (Int,Int) -> [Node] -> [String]
writeAll graph nodeList =
    let ordered = orderNodes graph nodeList
        graph' = resolve graph ordered
        f = (\g n -> if (n == [])
                     then []
                     else (writeGraph g (head n)) ++ (f g (tail n)))
    in f graph' ordered


-- metric relates to minimum amount of work done not-on-top of the stack


doWriteProof :: Gr String (Int,Int) -> [String]
doWriteProof graph =
    let initList = filter (\x -> Graph.indeg graph x == 0) (Graph.nodes graph)
    in writeAll graph initList