{-# OPTIONS -fcontext-stack=100 #-}
{-# LANGUAGE EmptyDataDecls #-}

module Test where

import Language.Grammars.AspectAG

import Data.HList.Label4
import Data.HList.TypeEqGeneric1
import Data.HList.TypeCastGeneric1



--data types-------------------------------------------------------------------
data Root = Root Tree
          deriving Show

data Tree = Node Tree Tree
          | Leaf Int
          deriving Show


--data types' dependent definitions

----non terminals
nt_Root = proxy::Proxy Root
nt_Tree = proxy::Proxy Tree

----productions
data P_Root;   p_Root    = proxy::Proxy P_Root
data P_Node;   p_Node    = proxy::Proxy P_Node
data P_Leaf;   p_Leaf    = proxy::Proxy P_Leaf

----children labels
data Ch_tree;   ch_tree  = proxy::Proxy (Ch_tree, Tree)
data Ch_l;      ch_l     = proxy::Proxy (Ch_l,    Tree)
data Ch_r;      ch_r     = proxy::Proxy (Ch_r,    Tree)
data Ch_i;      ch_i     = proxy::Proxy (Ch_i,    Int)

----catamorphism
sem_Tree  asp (Node left right) = knit (asp # p_Node) (   ch_l .=. sem_Tree asp left 
                                                      .*. ch_r .=. sem_Tree asp right 
                                                      .*. emptyRecord )
sem_Tree  asp (Leaf i         ) = knit (asp # p_Leaf) (   ch_i .=. sem_Lit i 
                                                      .*. emptyRecord )
sem_Root  asp (Root t         ) = knit (asp # p_Root) (   ch_tree .=. sem_Tree asp t 
                                                      .*. emptyRecord )


--repmin-----------------------------------------------------------------------

data Att_smin;   smin    = proxy::Proxy Att_smin
data Att_ival;   ival    = proxy::Proxy Att_ival
data Att_sres;   sres    = proxy::Proxy Att_sres


asp_smin () = synAspect smin ( nt_Tree .*. hNil ) (min::Int->Int->Int)  (0::Int) ( p_Node .*. hNil )
                        (   p_Leaf .=. (\(Fam _ _ chi _) -> chi # ch_i)
                        .*. emptyRecord )

asp_ival a  = inhAspect ival ( nt_Tree .*. hNil ) ( p_Node .*. hNil )
                        (   p_Root .=. (\(Fam _ _ chi _) -> (   ch_tree .=. (chi # ch_tree) # a
                                                            .*. emptyRecord ) )
                        .*. emptyRecord )

asp_sres a  = synAspect sres ( nt_Root .*. nt_Tree .*. hNil ) Node (Leaf 0) ( p_Node .*. hNil )
                        (   p_Root .=. (\(Fam _ _ chi _) -> (chi # ch_tree) # sres)
                        .*. p_Leaf .=. (\(Fam _ _ _ par) -> Leaf (par # a))
                        .*. emptyRecord )


asp_repmin a =  asp_smin () .+. asp_sres a .+. asp_ival smin

repmin tree = sem_Root (asp_repmin ival) (Root tree) () # sres


--chained attribute------------------------------------------------------------

data Att_ccnt;   ccnt    = proxy::Proxy Att_ccnt


asp_ccnt () = chnAspect ccnt (nt_Root .*. nt_Tree .*. hNil ) ( p_Node .*. hNil )
                        (   p_Root .=. (\(Fam _ _ _ _)   -> (   ch_tree .=. (0::Int)
                                                            .*. emptyRecord ) )
                        .*. p_Node .=. (\(Fam _ _ _ par) -> (   ch_l .=. (par # ccnt) + 10  -- diference with scn (doesn't use chain rule for ch_l) 
                                                            .*. emptyRecord) )  
                        .*. emptyRecord )
                        (   p_Leaf .=. (\(Fam _ _ chi par) -> 
                                            if chi # ch_i == (par # ival) 
                                                 then (par # ccnt) +1 
                                                 else  par # ccnt
                                       )
                        .*. emptyRecord )



asp_cnt () = asp_ccnt () .+. asp_repmin ccnt

cnt tree  = sem_Root (asp_cnt ()) (Root tree) () # sres


----example--------------------------------------------------------------------


examplet =    (Node (Node (Node (Leaf 1) (Leaf 4))
                          (Node (Leaf 2) (Leaf 1))
                    )

                    (Node (Node (Leaf 9) (Leaf 8))
                          (Leaf 6)
                    )
              )

res_repmin = repmin examplet

res_cnt = cnt examplet