(with_import "./collections.kp"
(with_import "./rb.kp"
(let (

    ; Implementing "Purely Functional GLL Parsing"
    ;               by L. Thomas van Binsbergena, Elizabeth Scott, Adrian Johnstone
    ; retrived from from http://ltvanbinsbergen.nl/publications/jcola-fgll.pdf
    
    ; discriptor is a triple of grammer-slot and 2 indicies of t-string
    ;   corresponding to process
    ;       <X::= a.b,l,k>
    ;       I previously had this as nonterminal, rule-idx, idx into rule, l,r

    ; U - discriptors added to (worklist?), makes sure no duplicates added to "list"
    ; P - binary relation between pairs of commencments and right extants
    ;       makes sure that later discoveries that use a sub-non-terminal that has already
    ;       been processed can be completed since the sub-non-terminal won't be
    ;       re-descended at the same index <s::=.d,k,k>
    ;       
    ;       a commencement is a pair of a nonterminal and a left extent (the arguemnts to
    ;       descend, since that's what we're skipping) to a set of right extants
    ; G - binary relation between commencments and continuations, modified to include
    ;       actional continuation.
    ;       The normal continuation is a pair of as slot and a left extent.
    ;       So <<X,k> -> <g,l>> in G, with a new are is combined to form
    ;       discriptor <g,l,r> and BSR <g,l,k,r> whenever k,r are discovered for X
    ;       Note we haven't finished things with the above P, since some subs of the form
    ;           <s::=.d,k,k> or descriptors that follow them may not have been processed
    ;           yet. When new Right extants are discovered, we must add descriptors
    ;           <Y::=a's.b',l',r_j> and <X::as.b,l,rj> to R (if not in U) and add
    ;           BSR elements <Y::=a's.b',l',k,r_j> and <X::=as.b,l,k,r_j> to Y
    ; Y - Our result BSR set!

    ; I've decided, a slot is [X [stff] int-for-dot]

    id (lambda (sigma) sigma)
    altStart                  (lambda (t s k c) id)
    altOp    (lambda (p q)    (lambda (t s k c) (lcompose (p t s k c) (q t s [] k c))))
    term_parser                 (lambda (t [X b i] l k c) (lambda (sigma)
        (if (= (idx b (- i 1)) (idx t k)) ((c [[X b i] l (+ 1 k)]) sigma)
                                            sigma)))
    term (lambda (s) [ s term_parser ])

    continue (lambda (BSR_element c) (lambda ([U G P Y])
            (let (
                [slot l k r] BSR_element
                descriptor [slot l r]
                (X b i) slot
                Yp (if (or (!= 0 i) (= (len rhs) i)) (set-insert Y BSR_element)
                                                     Y)
                Up (set-insert U descriptor)
            ) (if (set-contains? U descriptor) [U G P Yp]
                                               ((c descriptor) [Up G P Yp])))))
    seqStart (lambda (t X b l c0) (continue [[X b 0] l l l] c0))
    seqOp (lambda (p [s q]) (lambda (t X b l c0) (let (
                                c1 (lambda ([slot l k]) (let (
                                    c2 (lambda ([slot l r]) (continue [slot l k r] c0))
                                   ) (q t slot l k c2)))
                               ) (p t X (cons s b) l c1))))

    cont_for (lambda (s p) (lambda ([[s d i] k r]) (lambda ([U G P Y]) (let (
            composed (set-foldl (lambda (cp [g l c]) (lcompose cp (c [g l r]))) id (multimap-get G [s k]))
        ) (composed [U G (multimap-insert P [s k] r) Y])))))
    nterm_parser (lambda (p) (lambda (t gram_slot l k c) (lambda ([U G P Y])
        (let (
            [X b i] gram_slot
            s (idx b (- i 1))
            R (multimap-get P [s k])
            sigmap [U (multimap-insert G [s k] [gram_slot l c]) P Y]
        ) (if (= 0 (size R)) ((p t s k (cont_for s p)) sigmap)
                             (set-foldl (lambda (cp r) (lcompose cp (c [gram_slot l r]))) id R)
        )))))
    nterm (lambda (s p) [ s (nterm_parser p) ])
    parse (lambda ([s f]) (lambda (t)
        (let (
            X '__FUNGLL_UNIQUE_START_SYMBOL__
            sigma [ set-empty multimap-empty multimap-empty set-empty ]
            c (lambda (descriptor) (lambda (sigma) sigma))
            [U G P Y] ((f t ['X [s] 1] 0 0 c) sigma)
         ) (set-foldl cons [] Y))))
)
(provide altStart altOp term seqStart seqOp nterm parse)
)))