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implementation module law
// $Id$
/*
> %export
> cleanlaws
> corestrategy
> %include "dnc.lit"
> %include "../src/basic.lit"
> %include "../src/pfun.lit"
> %include "../src/graph.lit"
> %include "../src/complete.lit"
> %include "../src/rule.lit"
> %include "../src/spine.lit"
> %include "strat.lit"
> %include "../src/clean.lit"
> intmullaw :: law symbol ** node ****
> intmullaw substrat subject found rnf sargs fail
> = rulelaw (leftunitrule (Int 1)) substrat subject found rnf sargs fail'
> where fail' = rulelaw (rightunitrule (Int 1)) substrat subject found rnf sargs fail''
> fail'' = primlaw (intop product) substrat subject found rnf sargs fail
> mullaws
> = [ rulelaw (leftunitrule (Int 1))
> , rulelaw (rightunitrule (Int 1))
> , primlaw (intop product)
> ]
> intaddlaw :: law symbol ** node ****
> intaddlaw substrat subject found rnf sargs fail
> = trylaw subject found' sargs (leftunitrule (Int 0)) fail'
> where fail' = trylaw subject found' sargs (rightunitrule (Int 0)) fail''
> fail'' = strictprimop (intop sum) substrat subject found sargs fail
> found' subspine = found subspine
> addlaws
> = [ rulelaw (leftunitrule (Int 0))
> , rulelaw (rightunitrule (Int 0))
> , primlaw (intop sum)
> ]
> intsublaw :: law symbol ** node ****
> intsublaw substrat subject found rnf sargs fail
> = trylaw subject found' sargs (rightunitrule (Int 0)) fail'
> where fail' = strictprimop (intop sublist) substrat subject found sargs fail
> found' subspine = found subspine
> sublist [x,y] = x-y
> sublaws
> = [ rulelaw (rightunitrule (Int 0))
> , primlaw (intop sublist)
> ]
> where sublist [x,y] = x-y
> intop :: ([num]->num) -> [symbol] -> symbol
> intop op symbols = Int (op [i|Int i<-symbols])
> leftunitrule leftunit
> = mkrule [Named "leftarg",Named "rightarg"] (Named "rightarg") (updategraph (Named "leftarg") (leftunit,[]) emptygraph)
> rightunitrule rightunit
> = mkrule [Named "leftarg",Named "rightarg"] (Named "leftarg") (updategraph (Named "rightarg") (rightunit,[]) emptygraph)
> strictprimop
> :: ([*]->*) ->
> substrategy * ** node **** ->
> graph * ** ->
> (subspine * ** node->****) ->
> [**] ->
> **** ->
> ****
> strictprimop op substrat subject found sargs fail
> = forcenodes substrat found foundredex sargs, if and (map fst conts)
> = fail, otherwise
> where conts = map (dnc (const "in strictprimop") subject) sargs
> result = op (map (fst.snd) conts)
> primrule = mkrule primargs primroot primgraph
> primargs = map snd (zip2 sargs heap)
> primroot = Named "primresult"
> primgraph = updategraph primroot (result,[]) emptygraph
> matching = foldr (uncurry extend) emptypfun (zip2 primargs sargs)
> foundredex = found (Redex primrule matching)
> primlaw
> :: ([*]->*) ->
> law * ** node ****
> primlaw op substrat subject found rnf sargs fail
> = strictprimop op substrat subject found sargs fail
------------------------------------------------------------------------
> cleanlaws :: [(symbol,law symbol ** node ****)]
> cleanlaws
> = [(User "deltaI" "*",law) | law <- mullaws] ++
> [(User "deltaI" "+",law) | law <- addlaws] ++
> [(User "deltaI" "-",law) | law <- sublaws] ++
> [(User "deltaI" "++",primlaw inc)] ++
> [(User "deltaI" "--",primlaw dec)]
> inc [Int n] = Int (n+1)
> dec [Int n] = Int (n-1)
------------------------------------------------------------------------
> corestrategy :: (graph symbol node->node->**->bool) -> strategy symbol ** node ****
Forcing arguments has already been done by the type rule
Also, using trylaw is easier
> corestrategy matchable substrat subject found rnf (Apply,snodes)
> = trylaw subject found snodes (applyrule nc) (found Delta)
> where nc = dnc (const "in corestrategy") subject (hd snodes)
> corestrategy matchable substrat subject found rnf (If,snodes)
> = tryrules matchable substrat subject found snodes (found MissingCase) ifrules
> corestrategy matchable substrat subject found rnf (Select a i,snodes)
> = tryrules matchable substrat subject found snodes (found MissingCase) [selectrule a i]
> corestrategy matchable substrat subject found rnf (User module id,snodes)
> = found MissingCase
> corestrategy matchable substrat subject found rnf (ssym,snodes)
> = rnf
> applyrule :: (bool,(*,[**])) -> rule * node
> applyrule (sdef,scont)
> = aprule (anode,(sym,aargs)) [enode] aroot
> where (aargs,anode:aroot:enode:heap') = claim sargs heap
> (sym,sargs)
> = scont, if sdef
> = (nosym,[]), otherwise
> nosym = error "applyrule: no function symbol available"
> aprule :: (***,(*,[***])) -> [***] -> *** -> rule * ***
> aprule (anode,(sym,aargs)) anodes aroot
> = mkrule (anode:anodes) aroot agraph
> where agraph
> = ( updategraph aroot (sym,aargs++anodes)
> . updategraph anode (sym,aargs)
> ) emptygraph
> apmatching :: [**] -> [***] -> pfun *** **
> apmatching snodes anodes
> = foldr (uncurry extend) emptypfun nodepairs
> where nodepairs = zip2 anodes snodes
> claims :: [[*]] -> [**] -> ([[**]],[**])
> claims [] heap = ([],heap)
> claims (nodes:nodess) heap
> = (nodes':nodess',heap'')
> where (nodes',heap') = claim nodes heap
> (nodess',heap'') = claims nodess heap'
> ifrules :: [rule symbol node]
> ifrules
> = [ifrule True then,ifrule False else]
> where ifrule bool branch = mkrule [cond,then,else] branch (updategraph cond (Bool bool,[]) emptygraph)
> cond = Named "cond"; then = Named "then"; else = Named "else"
> selectrule :: num -> num -> rule symbol node
> selectrule a i
> = mkrule [tuple] (args!(i-1)) (updategraph tuple (Tuple a,args) emptygraph)
> where tuple = Named "tuple"
> args = take a (tl heap)
*/
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