500 lines
21 KiB
Racket
500 lines
21 KiB
Racket
#lang racket/base
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;; "Skeletons" describe the indexed structure of a dataspace.
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;; In particular, they efficiently connect assertions to matching interests.
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(provide (struct-out skeleton-interest)
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(struct-out visibility-restriction)
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make-empty-skeleton
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add-interest!
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remove-interest!
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add-assertion!
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remove-assertion!
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send-assertion!)
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(require racket/match)
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(require racket/hash)
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(require racket/list)
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(require "support/struct.rkt")
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(require "bag.rkt")
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(require "pattern.rkt")
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(require "assertions.rkt")
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(module+ test (require rackunit))
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;; A VisibilityRestriction describes ... TODO
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;; (visibility-restriction SkProj Assertion)
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(struct visibility-restriction (proj term) #:transparent)
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;; A ScopedAssertion is a VisibilityRestriction or an Assertion.
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;; (Corollary: Instances of `visibility-restriction` can never be assertions.)
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;; A `Skeleton` is a structural guard on an assertion: essentially,
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;; specification of (the outline of) its shape; its silhouette.
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;; Following a skeleton's structure leads to zero or more `SkCont`s.
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;;
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;; Skeleton = (skeleton-node SkCont (AListof SkSelector (MutableHash SkClass SkNode)))
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;; SkSelector = (skeleton-selector Nat Nat)
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;; SkClass = StructType | (list-type Nat) | (vector-type Nat)
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;;
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(struct skeleton-node (continuation [edges #:mutable]) #:transparent)
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(struct skeleton-selector (pop-count index) #:transparent)
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(struct list-type (arity) #:transparent)
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(struct vector-type (arity) #:transparent)
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;;
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;; A `SkDesc` is a single assertion silhouette, usually the
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;; evaluation-result of `desc->skeleton-stx` from `pattern.rkt`.
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;;
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;; A `SkCont` is a *skeleton continuation*, a collection of "next
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;; steps" after a `Skeleton` has matched the general outline of an
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;; assertion.
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;;
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;; INVARIANT: At each level, the caches correspond to the
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;; appropriately filtered and projected contents of the dataspace
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;; containing the structures.
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;;
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;; SkCont = (skeleton-continuation
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;; (MutableSet ScopedAssertion)
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;; (MutableHash SkProj (MutableHash SkKey SkConst)))
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;; SkConst = (skeleton-matched-constant
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;; (MutableSet ScopedAssertion)
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;; (MutableHash SkProj SkAcc))
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;; SkAcc = (skeleton-accumulator
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;; (MutableBag SkKey)
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;; (MutableSeteq (... -> Any)))
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;;
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(struct skeleton-continuation (cache table) #:transparent)
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(struct skeleton-matched-constant (cache table) #:transparent)
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(struct skeleton-accumulator (cache handlers) #:transparent)
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;;
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;; A `SkProj` is a *skeleton projection*, a specification of loci
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;; within a tree-shaped assertion to collect into a flat list.
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;;
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;; SkProj = (Listof (Listof Nat))
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;;
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;; The outer list specifies elements of the flat list; the inner lists
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;; specify paths via zero-indexed links to child nodes in the
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;; tree-shaped assertion being examined. A precondition for use of a
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;; `SkProj` is that the assertion being examined has been checked for
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;; conformance to the skeleton being projected.
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;;
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;; A `SkKey` is the result of running a `SkProj` over a term,
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;; extracting the values at the denoted locations.
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;;
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;; SkKey = (Listof Any)
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;;
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;; Each `SkProj` in `SkCont` selects *constant* portions of the term
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;; for more matching against the `SkKey`s in the table associated with
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;; the `SkProj`. Each `SkProj` in `SkConst`, if any, selects
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;; *variable* portions of the term to be given to the handler
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;; functions in the associated `SkAcc`.
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;; A `SkInterest` is a specification for an addition to or removal
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;; from an existing `Skeleton`.
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;;
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;; SkInterest = (skeleton-interest SkDesc
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;; SkProj
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;; SkKey
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;; SkProj
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;; (... -> Any)
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;; (Option ((MutableBag SkKey) -> Any)))
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;;
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;; The `SkDesc` gives the silhouette. The first `SkProj` is the
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;; constant-portion selector, to be matched against the `SkKey`. The
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;; second `SkProj` is used on matching assertions to extract the
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;; variable portions, to be passed to the handler function.
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;;
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(struct skeleton-interest (desc
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const-selector
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const-value
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var-selector
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handler
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cleanup
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) #:transparent)
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;;---------------------------------------------------------------------------
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(define (make-empty-skeleton/cache cache)
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(skeleton-node (skeleton-continuation cache
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(make-hash))
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'()))
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(define (make-empty-skeleton)
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(make-empty-skeleton/cache (make-hash)))
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(define (make-empty-matched-constant)
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(skeleton-matched-constant (make-hash) (make-hash)))
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(define (skcont-add! c i)
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(match-define (skeleton-interest _desc cs cv vs h _cleanup) i)
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(define (classify-assertions)
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(define cvt (make-hash))
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(hash-for-each (skeleton-continuation-cache c)
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(lambda (a _)
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(define avs (apply-projection (unscope-assertion a) cs))
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(define sc (hash-ref! cvt avs make-empty-matched-constant))
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(hash-set! (skeleton-matched-constant-cache sc) a #t)))
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cvt)
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(define cvt (hash-ref! (skeleton-continuation-table c) cs classify-assertions))
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(define sc (hash-ref! cvt cv make-empty-matched-constant))
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(define (make-accumulator)
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(define cache (make-bag))
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(hash-for-each (skeleton-matched-constant-cache sc)
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(lambda (a _)
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(unpack-scoped-assertion [restriction-path term] a)
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(when (unrestricted? vs restriction-path)
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(bag-change! cache (apply-projection term vs) 1))))
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(skeleton-accumulator cache (make-hasheq)))
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(define acc (hash-ref! (skeleton-matched-constant-table sc) vs make-accumulator))
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(hash-set! (skeleton-accumulator-handlers acc) h #t)
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(for [(vars (in-bag (skeleton-accumulator-cache acc)))] (apply h '+ vars)))
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(define (skeleton-matched-constant-empty? sc)
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(match-define (skeleton-matched-constant cache table) sc)
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(and (hash-empty? cache) (hash-empty? table)))
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(define (skcont-remove! c i)
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(match-define (skeleton-interest _desc cs cv vs h cleanup) i)
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(define cvt (hash-ref (skeleton-continuation-table c) cs #f))
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(when cvt
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(define sc (hash-ref cvt cv #f))
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(when sc
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(define acc (hash-ref (skeleton-matched-constant-table sc) vs #f))
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(when acc
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(when (and cleanup (hash-has-key? (skeleton-accumulator-handlers acc) h))
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(cleanup (skeleton-accumulator-cache acc)))
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(hash-remove! (skeleton-accumulator-handlers acc) h)
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(when (hash-empty? (skeleton-accumulator-handlers acc))
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(hash-remove! (skeleton-matched-constant-table sc) vs)))
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(when (skeleton-matched-constant-empty? sc)
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(hash-remove! cvt cv)))
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(when (hash-empty? cvt)
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(hash-remove! (skeleton-continuation-table c) cs))))
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(define (term-matches-class? term class)
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(cond
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[(list-type? class) (and (list? term) (= (length term) (list-type-arity class)))]
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[(vector-type? class) (and (vector? term) (= (vector-length term) (vector-type-arity class)))]
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[(struct-type? class) (and (non-object-struct? term) (eq? (struct->struct-type term) class))]
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[else (error 'term-matches-class? "Invalid class: ~v" class)]))
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(define (subterm-matches-class? term path class)
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(term-matches-class? (apply-projection-path (unscope-assertion term) path) class))
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(define (unscope-assertion scoped-assertion)
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(match scoped-assertion
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[(visibility-restriction _ term) term]
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[term term]))
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(define-syntax-rule (unpack-scoped-assertion [path term] expr)
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(define-values (path term)
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(match expr
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[(visibility-restriction p t) (values p t)]
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[other (values #f other)])))
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(define (path-cmp a b)
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(match* (a b)
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[('() '()) '=]
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[('() _) '<]
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[(_ '()) '>]
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[((cons av a) (cons bv b))
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(cond [(< av bv) '<]
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[(> av bv) '>]
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[else (path-cmp a b)])]))
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(define (unrestricted? capture-paths restriction-paths)
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;; We are "unrestricted" if Set(capture-paths) ⊆ Set(restriction-paths). Since both variables
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;; really hold lists, we operate with awareness of the order the lists are built here. We
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;; know that the lists are built in fringe order; that is, they are sorted wrt `path-cmp`.
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(or (not restriction-paths)
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(let outer ((cs capture-paths) (rs restriction-paths))
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(match cs
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['() #t]
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[(cons c cs)
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(let inner ((rs rs))
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(match rs
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['() #f] ;; `c` does not exist in `restriction-paths` ∴ restricted.
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[(cons r rs)
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(match (path-cmp c r)
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['< #f] ;; `c` < `r` ==> `c` not in `restriction-paths` ∴ restricted.
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['= (outer cs rs)]
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['> (inner rs)])]))]))))
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(define (extend-skeleton! sk desc)
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(define (walk-node! rev-path sk pop-count index desc)
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(match desc
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[(list class-desc pieces ...)
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(define class
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(cond [(struct-type? class-desc) class-desc]
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[(eq? class-desc 'list) (list-type (length pieces))]
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[(eq? class-desc 'vector) (vector-type (length pieces))]
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[else (error 'extend-skeleton! "Invalid class-desc: ~v" class-desc)]))
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(define selector (skeleton-selector pop-count index))
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(define table
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(match (assoc selector (skeleton-node-edges sk))
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[#f (let ((table (make-hash)))
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(set-skeleton-node-edges! sk (cons (cons selector table) (skeleton-node-edges sk)))
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table)]
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[(cons _selector table) table]))
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(define (make-skeleton-node-with-cache)
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(define unfiltered (skeleton-continuation-cache (skeleton-node-continuation sk)))
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(define filtered (make-hash))
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(define path (reverse rev-path))
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(hash-for-each unfiltered
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(lambda (a _)
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(when (subterm-matches-class? a path class)
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(hash-set! filtered a #t))))
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(make-empty-skeleton/cache filtered))
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(define next (hash-ref! table class make-skeleton-node-with-cache))
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(walk-edge! (cons 0 rev-path) next 0 0 pieces)]
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[_
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(values pop-count sk)]))
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(define (walk-edge! rev-path sk pop-count index pieces)
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(match pieces
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['()
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(values (+ pop-count 1) sk)]
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[(cons p pieces)
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(let-values (((pop-count sk) (walk-node! rev-path sk pop-count index p)))
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(walk-edge! (cons (+ index 1) (cdr rev-path)) sk pop-count (+ index 1) pieces))]))
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(let-values (((_pop-count sk) (walk-node! '() sk 0 0 desc)))
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sk))
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(define (add-interest! sk i)
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(let ((sk (extend-skeleton! sk (skeleton-interest-desc i))))
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(skcont-add! (skeleton-node-continuation sk) i)))
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(define (remove-interest! sk i)
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(let ((sk (extend-skeleton! sk (skeleton-interest-desc i))))
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(skcont-remove! (skeleton-node-continuation sk) i)))
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(define (skeleton-modify! sk term0 modify-skcont! on-missing-skconst modify-skconst! modify-skacc!)
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(unpack-scoped-assertion [restriction-path term0-term] term0)
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(define (walk-node! sk term-stack)
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(match-define (skeleton-node continuation edges) sk)
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(modify-skcont! continuation term0)
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(let ((sct (skeleton-continuation-table continuation))
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(constant-projections-to-remove '()))
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(hash-for-each sct
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(lambda (constant-proj key-proj-handler)
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(define constants (apply-projection term0-term constant-proj))
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(define proj-handler
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(hash-ref key-proj-handler
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constants
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(lambda () (on-missing-skconst key-proj-handler constants))))
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(when proj-handler
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(when (eq? (modify-skconst! proj-handler term0) 'remove-check)
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(when (skeleton-matched-constant-empty? proj-handler)
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(hash-remove! key-proj-handler constants)
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(when (hash-empty? key-proj-handler)
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(set! constant-projections-to-remove
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(cons constant-proj constant-projections-to-remove)))))
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(hash-for-each (skeleton-matched-constant-table proj-handler)
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(lambda (variable-proj acc)
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(when (unrestricted? variable-proj restriction-path)
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(define vars (apply-projection term0-term variable-proj))
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(modify-skacc! acc vars term0)))))))
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(for-each (lambda (constant-proj) (hash-remove! sct constant-proj))
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constant-projections-to-remove))
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(for [(edge (in-list edges))]
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(match-define (cons (skeleton-selector pop-count index) table) edge)
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(define popped-stack (drop term-stack pop-count))
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(define old-top (car popped-stack))
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(define new-top
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(cond [(non-object-struct? old-top) (vector-ref (struct->vector old-top) (+ index 1))]
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[(list? old-top) (list-ref old-top index)]
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[(vector? old-top) (vector-ref old-top index)]))
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(define entry (hash-ref table
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(cond [(non-object-struct? new-top) (struct->struct-type new-top)]
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[(list? new-top) (list-type (length new-top))]
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[(vector? new-top) (vector-type (vector-length new-top))]
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[else #f])
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#f))
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(when entry (walk-node! entry (cons new-top popped-stack)))))
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(walk-node! sk (list (list term0-term))))
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(define (add-term-to-skcont! skcont term)
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(hash-set! (skeleton-continuation-cache skcont) term #t))
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(define (add-term-to-skconst! skconst term)
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(hash-set! (skeleton-matched-constant-cache skconst) term #t))
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(define (add-term-to-skacc! skacc vars _term)
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;; (log-info ">>>>>> At addition time for ~v, cache has ~v"
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;; _term
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;; (hash-ref (skeleton-accumulator-cache skacc) vars 0))
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(match (bag-change! (skeleton-accumulator-cache skacc) vars 1)
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['absent->present
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(hash-for-each (skeleton-accumulator-handlers skacc)
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(lambda (handler _) (apply handler '+ vars)))]
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;; 'present->absent and 'absent->absent absurd
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['present->present
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(void)]))
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(define (add-assertion! sk term)
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(skeleton-modify! sk
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term
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add-term-to-skcont!
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(lambda (cv-table cv)
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(let ((sc (make-empty-matched-constant)))
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(hash-set! cv-table cv sc)
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sc))
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add-term-to-skconst!
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add-term-to-skacc!))
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(define (remove-term-from-skcont! skcont term)
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(hash-remove! (skeleton-continuation-cache skcont) term))
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(define (remove-term-from-skconst! skconst term)
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(hash-remove! (skeleton-matched-constant-cache skconst) term)
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'remove-check)
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(define (remove-term-from-skacc! skacc vars _term)
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(define cache (skeleton-accumulator-cache skacc))
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;; (log-info ">>>>>> At removal time for ~v, cache has ~v" _term (hash-ref cache vars 0))
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(if (bag-member? cache vars)
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(match (bag-change! cache vars -1)
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['present->absent
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(hash-for-each (skeleton-accumulator-handlers skacc)
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(lambda (handler _) (apply handler '- vars)))]
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;; 'absent->absent and 'absent->present absurd
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['present->present
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(void)])
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(log-warning "Removing assertion not previously added: ~v" _term)))
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(define (remove-assertion! sk term)
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(skeleton-modify! sk
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term
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remove-term-from-skcont!
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(lambda (_cv-table _cv) #f)
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remove-term-from-skconst!
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remove-term-from-skacc!))
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(define (send-assertion! sk term)
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(skeleton-modify! sk
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term
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void
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(lambda (_cv-table _cv) #f)
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void
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(lambda (skacc vars _term)
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(hash-for-each (skeleton-accumulator-handlers skacc)
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(lambda (handler _) (apply handler '! vars))))))
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;; TODO: avoid repeated descent into `term` by factoring out prefixes of paths in `proj`
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(define (apply-projection term proj)
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(for/list [(path (in-list proj))]
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(apply-projection-path term path)))
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(define (apply-projection-path term path)
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(for/fold [(term term)] [(index (in-list path))]
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(cond [(non-object-struct? term) (vector-ref (struct->vector term) (+ index 1))]
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[(list? term) (list-ref term index)]
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[(vector? term) (vector-ref term index)]
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[else (error 'apply-projection "Term representation not supported: ~v" term)])))
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;;---------------------------------------------------------------------------
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(module+ test
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(struct a (x y) #:transparent)
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(struct b (v) #:transparent)
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(struct c (v) #:transparent)
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(struct d (x y z) #:transparent)
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(define sk
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(make-empty-skeleton/cache
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(make-hash (for/list [(x (list (a (b 'bee) (b 'cat))
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(a (b 'foo) (c 'bar))
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(a (b 'foo) (c 'BAR))
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(a (c 'bar) (b 'foo))
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(a (c 'dog) (c 'fox))
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(d (b 'DBX) (b 'DBY) (b 'DBZ))
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(d (c 'DCX) (c 'DCY) (c 'DCZ))
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(b 'zot)
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123))]
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(cons x #t)))))
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(define i1
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(skeleton-interest (list struct:a (list struct:b #f) #f)
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'((0 0))
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'(foo)
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'((1))
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(lambda (op . bindings)
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(printf "xAB HANDLER: ~v ~v\n" op bindings))
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(lambda (vars)
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(printf "xAB CLEANUP: ~v\n" vars))))
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(add-interest! sk i1)
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(void (extend-skeleton! sk (list struct:a (list struct:b #f) #f)))
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(void (extend-skeleton! sk (list struct:a #f (list struct:c #f))))
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(void (extend-skeleton! sk (list struct:a #f (list struct:c (list struct:b #f)))))
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(void (extend-skeleton! sk (list struct:a #f #f)))
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(void (extend-skeleton! sk (list struct:c #f)))
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(void (extend-skeleton! sk (list struct:b #f)))
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(void (extend-skeleton! sk (list struct:d (list struct:b #f) #f (list struct:b #f))))
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(void (extend-skeleton! sk (list struct:d (list struct:b #f) #f (list struct:c #f))))
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(void (extend-skeleton! sk (list struct:d (list struct:c #f) #f (list struct:b #f))))
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(void (extend-skeleton! sk (list struct:d (list struct:c #f) #f (list struct:c #f))))
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(check-eq? sk (extend-skeleton! sk #f))
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(add-interest! sk
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(skeleton-interest (list struct:d (list struct:b #f) #f (list struct:c #f))
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'((2 0))
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'(DCZ)
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'(() (0) (0 0) (1))
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(lambda (op . bindings)
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(printf "DBC HANDLER: ~v ~v\n" op bindings))
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(lambda (vars)
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(printf "DBC CLEANUP: ~v\n" vars))))
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(remove-assertion! sk (a (b 'foo) (c 'bar)))
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(remove-assertion! sk (d (b 'B1) (b 'DBY) (c 'DCZ)))
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(add-assertion! sk (d (b 'B1) (b 'DBY) (c 'DCZ)))
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(add-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(add-assertion! sk (d (b 'B1) (b 'DBY) (c 'CX)))
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(add-assertion! sk (d (b 'B1) (b 'DBY) (c 'DCZ)))
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(add-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(add-assertion! sk (d (b 'B1) (b 'DBY) (c 'CX)))
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(add-interest! sk
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(skeleton-interest (list struct:d #f (list struct:b #f) #f)
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'((1 0))
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'(DBY)
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'((0) (2))
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(lambda (op . bindings)
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(printf "xDB HANDLER: ~v ~v\n" op bindings))
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(lambda (vars)
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(printf "xDB CLEANUP: ~v\n" vars))))
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(send-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(send-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(remove-assertion! sk (d (b 'B1) (b 'DBY) (c 'DCZ)))
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(remove-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(remove-assertion! sk (d (b 'B1) (b 'DBY) (c 'CX)))
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(remove-assertion! sk (d (b 'B1) (b 'DBY) (c 'DCZ)))
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(remove-assertion! sk (d (b 'BX) (b 'DBY) (c 'DCZ)))
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(remove-assertion! sk (d (b 'B1) (b 'DBY) (c 'CX)))
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;; sk
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(remove-interest! sk i1)
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(check-eq? (path-cmp '() '()) '=)
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(check-eq? (path-cmp '(1 1) '(1 1)) '=)
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(check-eq? (path-cmp '(2 2) '(2 2)) '=)
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(check-eq? (path-cmp '(2 1) '(1 1)) '>)
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(check-eq? (path-cmp '(1 1) '(2 1)) '<)
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(check-eq? (path-cmp '(2 1) '(1 2)) '>)
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(check-eq? (path-cmp '(1 2) '(2 1)) '<)
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(check-eq? (path-cmp '(2) '(1 1)) '>)
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(check-eq? (path-cmp '(1) '(2 1)) '<)
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(check-eq? (path-cmp '(2) '(1 2)) '>)
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(check-eq? (path-cmp '(1) '(2 1)) '<)
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(check-eq? (path-cmp '(2 1) '(1)) '>)
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(check-eq? (path-cmp '(1 1) '(2)) '<)
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(check-eq? (path-cmp '(2 1) '(1)) '>)
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(check-eq? (path-cmp '(1 2) '(2)) '<)
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(check-eq? (path-cmp '(1 2) '(1 2)) '=)
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(check-eq? (path-cmp '(1) '(1 2)) '<)
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(check-eq? (path-cmp '(1 2) '(1)) '>)
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)
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