Fix instantiate and abstract to handle bounds properly.

NEW INVARIANT - only use instantiate w/ names
This commit is contained in:
Sam Tobin-Hochstadt 2008-06-10 11:29:56 -04:00
parent a7c63840e4
commit 017f756c77
4 changed files with 489 additions and 468 deletions

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@ -5,7 +5,7 @@
(require "unify.ss" "type-comparison.ss" "type-rep.ss" "effect-rep.ss" "subtype.ss"
"planet-requires.ss" "tc-utils.ss" "union.ss"
"resolve-type.ss"
"resolve-type.ss" "type-utils.ss"
"type-effect-convenience.ss"
(lib "trace.ss")
(lib "plt-match.ss")

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@ -1,7 +1,7 @@
#lang scheme/base
(require "type-rep.ss" "type-name-env.ss" "tc-utils.ss"
"type-utils.ss"
"type-utils.ss"
mzlib/plt-match
mzlib/trace)

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@ -1,215 +1,215 @@
#lang scheme/base
(require "planet-requires.ss" "rep-utils.ss" "effect-rep.ss" "tc-utils.ss"
"free-variance.ss"
mzlib/trace scheme/match
(for-syntax scheme/base))
(define name-table (make-weak-hasheq))
;; Name = Symbol
;; Type is defined in rep-utils.ss
;; t must be a Type
(dt Scope (t))
;; i is an nat
(dt B (i)
[#:frees empty-hash-table (make-immutable-hasheq (list (cons i Covariant)))]
[#:fold-rhs #:base])
;; n is a Name
(dt F (n) [#:frees (make-immutable-hasheq (list (cons n Covariant))) empty-hash-table] [#:fold-rhs #:base])
(require "planet-requires.ss" "rep-utils.ss" "effect-rep.ss" "tc-utils.ss"
"free-variance.ss"
mzlib/trace scheme/match
(for-syntax scheme/base))
(define name-table (make-weak-hasheq))
;; Name = Symbol
;; Type is defined in rep-utils.ss
;; t must be a Type
(dt Scope (t))
;; i is an nat
(dt B (i)
[#:frees empty-hash-table (make-immutable-hasheq (list (cons i Covariant)))]
[#:fold-rhs #:base])
;; n is a Name
(dt F (n) [#:frees (make-immutable-hasheq (list (cons n Covariant))) empty-hash-table] [#:fold-rhs #:base])
;; id is an Identifier
(dt Name (id) [#:intern (hash-id id)] [#:frees #f] [#:fold-rhs #:base])
;; rator is a type
;; rands is a list of types
;; stx is the syntax of the pair of parens
(dt App (rator rands stx)
[#:intern (list rator rands)]
[#:frees (combine-frees (map free-vars* (cons rator rands)))
(combine-frees (map free-idxs* (cons rator rands)))]
[#:fold-rhs (*App (type-rec-id rator)
(map type-rec-id rands)
stx)])
;; left and right are Types
(dt Pair (left right))
;; elem is a Type
(dt Vector (elem) [#:frees (make-invariant (free-vars* elem)) (make-invariant (free-idxs* elem))])
;; elem is a Type
(dt Box (elem) [#:frees (make-invariant (free-vars* elem)) (make-invariant (free-idxs* elem))])
;; name is a Symbol (not a Name)
(dt Base (name) [#:frees #f] [#:fold-rhs #:base])
;; body is a Scope
(dt Mu (body) #:no-provide [#:frees (free-vars* body) (without-below 1 (free-idxs* body))]
[#:fold-rhs (*Mu (*Scope (type-rec-id (Scope-t body))))])
;; n is how many variables are bound here
;; body is a Scope
(dt Poly (n body) #:no-provide
[#:frees (free-vars* body) (without-below n (free-idxs* body))]
[#:fold-rhs (let ([body* (remove-scopes n body)])
(*Poly n (add-scopes n (type-rec-id body*))))])
;; n is how many variables are bound here
;; there are n-1 'normal' vars and 1 ... var
;; body is a Scope
(dt PolyDots (n body) #:no-provide
[#:frees (free-vars* body) (without-below n (free-idxs* body))]
[#:fold-rhs (let ([body* (remove-scopes n body)])
(*PolyDots n (add-scopes n (type-rec-id body*))))])
;; pred : identifier
;; cert : syntax certifier
(dt Opaque (pred cert) [#:intern (hash-id pred)] [#:frees #f] [#:fold-rhs #:base])
;; name : symbol
;; parent : Struct
;; flds : Listof[Type]
;; proc : Function Type
;; poly? : is this a polymorphic type?
;; pred-id : identifier for the predicate of the struct
;; cert : syntax certifier for pred-id
(dt Struct (name parent flds proc poly? pred-id cert)
[#:intern (list name parent flds proc)]
[#:frees (combine-frees (map free-vars* (append (if proc (list proc) null) (if parent (list parent) null) flds)))
(combine-frees (map free-idxs* (append (if proc (list proc) null) (if parent (list parent) null) flds)))]
[#:fold-rhs (*Struct name
(and parent (type-rec-id parent))
(map type-rec-id flds)
(and proc (type-rec-id proc))
poly?
pred-id
cert)])
;; dom : Listof[Type]
;; rng : Type
;; rest : Option[Type]
;; drest : Option[Cons[Type,Name or nat]]
;; rest and drest NOT both true
;; thn-eff : Effect
;; els-eff : Effect
;; arr is NOT a Type
(dt arr (dom rng rest drest thn-eff els-eff)
[#:frees (combine-frees (append (map flip-variances (map free-vars* (append (if rest (list rest) null) dom)))
(match drest
[(cons t (? symbol? bnd))
(let ([vs (free-vars* t)])
(flip-variances (fix-bound vs bnd)))]
[(cons t bnd) (flip-variances (free-vars* t))]
[_ null])
(list (free-vars* rng))
(map make-invariant
(map free-vars* (append thn-eff els-eff)))))
(combine-frees (append (map flip-variances (map free-idxs* (append (if rest (list rest) null) dom)))
(match drest
[(cons t (? number? bnd))
(let ([vs (free-idxs* t)])
(flip-variances (fix-bound vs bnd)))]
[(cons t bnd) (flip-variances (free-idxs* t))]
[_ null])
(list (free-idxs* rng))
(map make-invariant
(map free-idxs* (append thn-eff els-eff)))))]
[#:fold-rhs (*arr (map type-rec-id dom)
(type-rec-id rng)
(and rest (type-rec-id rest))
(and drest (cons (type-rec-id (car drest)) (cdr drest)))
(map effect-rec-id thn-eff)
(map effect-rec-id els-eff))])
;; top-arr is the supertype of all function types
(dt top-arr ()
[#:frees #f] [#:fold-rhs #:base])
;; arities : Listof[arr]
(dt Function (arities) [#:frees (combine-frees (map free-vars* arities))
(combine-frees (map free-idxs* arities))]
[#:fold-rhs (*Function (map type-rec-id arities))])
;; v : Scheme Value
(dt Value (v) [#:frees #f] [#:fold-rhs #:base])
;; elems : Listof[Type]
(dt Union (elems) [#:frees (combine-frees (map free-vars* elems))
(combine-frees (map free-idxs* elems))]
[#:fold-rhs ((unbox union-maker) (map type-rec-id elems))])
(dt Univ () [#:frees #f] [#:fold-rhs #:base])
;; types : Listof[Type]
(dt Values (types) [#:frees (combine-frees (map free-vars* types))
(combine-frees (map free-idxs* types))]
[#:fold-rhs (*Values (map type-rec-id types))])
;; in : Type
;; out : Type
(dt Param (in out))
;; key : Type
;; value : Type
(dt Hashtable (key value))
;; t : Type
(dt Syntax (t))
;; pos-flds : (Listof Type)
;; name-flds : (Listof (Tuple Symbol Type Boolean))
;; methods : (Listof (Tuple Symbol Function))
(dt Class (pos-flds name-flds methods)
[#:frees (combine-frees
(map free-vars* (append pos-flds
(map cadr name-flds)
(map cadr methods))))
(combine-frees
(map free-idxs* (append pos-flds
(map cadr name-flds)
(map cadr methods))))]
;; id is an Identifier
(dt Name (id) [#:intern (hash-id id)] [#:frees #f] [#:fold-rhs #:base])
;; rator is a type
;; rands is a list of types
;; stx is the syntax of the pair of parens
(dt App (rator rands stx)
[#:intern (list rator rands)]
[#:frees (combine-frees (map free-vars* (cons rator rands)))
(combine-frees (map free-idxs* (cons rator rands)))]
[#:fold-rhs (*App (type-rec-id rator)
(map type-rec-id rands)
stx)])
;; left and right are Types
(dt Pair (left right))
;; elem is a Type
(dt Vector (elem) [#:frees (make-invariant (free-vars* elem)) (make-invariant (free-idxs* elem))])
;; elem is a Type
(dt Box (elem) [#:frees (make-invariant (free-vars* elem)) (make-invariant (free-idxs* elem))])
;; name is a Symbol (not a Name)
(dt Base (name) [#:frees #f] [#:fold-rhs #:base])
;; body is a Scope
(dt Mu (body) #:no-provide [#:frees (free-vars* body) (without-below 1 (free-idxs* body))]
[#:fold-rhs (*Mu (*Scope (type-rec-id (Scope-t body))))])
;; n is how many variables are bound here
;; body is a Scope
(dt Poly (n body) #:no-provide
[#:frees (free-vars* body) (without-below n (free-idxs* body))]
[#:fold-rhs (let ([body* (remove-scopes n body)])
(*Poly n (add-scopes n (type-rec-id body*))))])
;; n is how many variables are bound here
;; there are n-1 'normal' vars and 1 ... var
;; body is a Scope
(dt PolyDots (n body) #:no-provide
[#:frees (free-vars* body) (without-below n (free-idxs* body))]
[#:fold-rhs (let ([body* (remove-scopes n body)])
(*PolyDots n (add-scopes n (type-rec-id body*))))])
;; pred : identifier
;; cert : syntax certifier
(dt Opaque (pred cert) [#:intern (hash-id pred)] [#:frees #f] [#:fold-rhs #:base])
;; name : symbol
;; parent : Struct
;; flds : Listof[Type]
;; proc : Function Type
;; poly? : is this a polymorphic type?
;; pred-id : identifier for the predicate of the struct
;; cert : syntax certifier for pred-id
(dt Struct (name parent flds proc poly? pred-id cert)
[#:intern (list name parent flds proc)]
[#:frees (combine-frees (map free-vars* (append (if proc (list proc) null) (if parent (list parent) null) flds)))
(combine-frees (map free-idxs* (append (if proc (list proc) null) (if parent (list parent) null) flds)))]
[#:fold-rhs (*Struct name
(and parent (type-rec-id parent))
(map type-rec-id flds)
(and proc (type-rec-id proc))
poly?
pred-id
cert)])
;; dom : Listof[Type]
;; rng : Type
;; rest : Option[Type]
;; drest : Option[Cons[Type,Name or nat]]
;; rest and drest NOT both true
;; thn-eff : Effect
;; els-eff : Effect
;; arr is NOT a Type
(dt arr (dom rng rest drest thn-eff els-eff)
[#:frees (combine-frees (append (map flip-variances (map free-vars* (append (if rest (list rest) null) dom)))
(match drest
[(cons t (? symbol? bnd))
(let ([vs (free-vars* t)])
(flip-variances (fix-bound vs bnd)))]
[(cons t bnd) (flip-variances (free-vars* t))]
[_ null])
(list (free-vars* rng))
(map make-invariant
(map free-vars* (append thn-eff els-eff)))))
(combine-frees (append (map flip-variances (map free-idxs* (append (if rest (list rest) null) dom)))
(match drest
[(cons t (? number? bnd))
(let ([vs (free-idxs* t)])
(flip-variances (fix-bound vs bnd)))]
[(cons t bnd) (flip-variances (free-idxs* t))]
[_ null])
(list (free-idxs* rng))
(map make-invariant
(map free-idxs* (append thn-eff els-eff)))))]
[#:fold-rhs (*arr (map type-rec-id dom)
(type-rec-id rng)
(and rest (type-rec-id rest))
(and drest (cons (type-rec-id (car drest)) (cdr drest)))
(map effect-rec-id thn-eff)
(map effect-rec-id els-eff))])
;; top-arr is the supertype of all function types
(dt top-arr ()
[#:frees #f] [#:fold-rhs #:base])
;; arities : Listof[arr]
(dt Function (arities) [#:frees (combine-frees (map free-vars* arities))
(combine-frees (map free-idxs* arities))]
[#:fold-rhs (*Function (map type-rec-id arities))])
;; v : Scheme Value
(dt Value (v) [#:frees #f] [#:fold-rhs #:base])
;; elems : Listof[Type]
(dt Union (elems) [#:frees (combine-frees (map free-vars* elems))
(combine-frees (map free-idxs* elems))]
[#:fold-rhs ((unbox union-maker) (map type-rec-id elems))])
(dt Univ () [#:frees #f] [#:fold-rhs #:base])
;; types : Listof[Type]
(dt Values (types) [#:frees (combine-frees (map free-vars* types))
(combine-frees (map free-idxs* types))]
[#:fold-rhs (*Values (map type-rec-id types))])
;; in : Type
;; out : Type
(dt Param (in out))
;; key : Type
;; value : Type
(dt Hashtable (key value))
;; t : Type
(dt Syntax (t))
;; pos-flds : (Listof Type)
;; name-flds : (Listof (Tuple Symbol Type Boolean))
;; methods : (Listof (Tuple Symbol Function))
(dt Class (pos-flds name-flds methods)
[#:frees (combine-frees
(map free-vars* (append pos-flds
(map cadr name-flds)
(map cadr methods))))
(combine-frees
(map free-idxs* (append pos-flds
(map cadr name-flds)
(map cadr methods))))]
[#:fold-rhs (match (list pos-flds name-flds methods)
[(list
pos-tys
(list (list init-names init-tys) ___)
(list (list mname mty) ___))
(*Class
(map type-rec-id pos-tys)
(map list
init-names
(map type-rec-id init-tys))
(map list mname (map type-rec-id mty)))])])
;; cls : Class
(dt Instance (cls))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Ugly hack - should use units
(define union-maker (box #f))
(define (set-union-maker! v) (set-box! union-maker v))
(provide set-union-maker!)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; remove-dups: List[Type] -> List[Type]
;; removes duplicate types from a SORTED list
(define (remove-dups types)
(cond [(null? types) types]
[(null? (cdr types)) types]
[(type-equal? (car types) (cadr types)) (remove-dups (cdr types))]
[else (cons (car types) (remove-dups (cdr types)))]))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
[#:fold-rhs (match (list pos-flds name-flds methods)
[(list
pos-tys
(list (list init-names init-tys) ___)
(list (list mname mty) ___))
(*Class
(map type-rec-id pos-tys)
(map list
init-names
(map type-rec-id init-tys))
(map list mname (map type-rec-id mty)))])])
;; cls : Class
(dt Instance (cls))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Ugly hack - should use units
(define union-maker (box #f))
(define (set-union-maker! v) (set-box! union-maker v))
(provide set-union-maker!)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; remove-dups: List[Type] -> List[Type]
;; removes duplicate types from a SORTED list
(define (remove-dups types)
(cond [(null? types) types]
[(null? (cdr types)) types]
[(type-equal? (car types) (cadr types)) (remove-dups (cdr types))]
[else (cons (car types) (remove-dups (cdr types)))]))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; type/effect fold
@ -260,259 +260,274 @@
(values (mk type-name-ht) (mk effect-name-ht))))
(provide type-case effect-case)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; sub-eff : (Type -> Type) Eff -> Eff
(define (sub-eff sb eff)
(effect-case sb eff))
(define (add-scopes n t)
(if (zero? n) t
(add-scopes (sub1 n) (*Scope t))))
(define (remove-scopes n sc)
(if (zero? n)
sc
(match sc
[(Scope: sc*) (remove-scopes (sub1 n) sc*)]
[_ (int-err "Tried to remove too many scopes: ~a" sc)])))
;; abstract-many : Names Type -> Scope^n
;; where n is the length of names
(define (abstract-many names ty)
(define (nameTo name count type)
(let loop ([outer 0] [ty type])
(define (sb t) (loop outer t))
(type-case
sb ty
[#:F name* (if (eq? name name*) (*B (+ count outer)) ty)]
;; necessary to avoid infinite loops
[#:Union elems (*Union (remove-dups (sort (map sb elems) type<?)))]
[#:Mu (Scope: body) (*Mu (*Scope (loop (add1 outer) body)))]
[#:PolyDots n body*
(let ([body (remove-scopes n body*)])
(*PolyDots n (*Scope (loop (+ n outer) body))))]
[#:Poly n body*
(let ([body (remove-scopes n body*)])
(*Poly n (*Scope (loop (+ n outer) body))))])))
(let ([n (length names)])
(let loop ([ty ty] [names names] [count (sub1 n)])
(if (zero? count)
(add-scopes n (nameTo (car names) 0 ty))
(loop (nameTo (car names) count ty)
(cdr names)
(sub1 count))))))
;; instantiate-many : List[Type] Scope^n -> Type
;; where n is the length of types
(define (instantiate-many images sc)
(define (replace image count type)
(let loop ([outer 0] [ty type])
(define (sb t) (loop outer t))
(type-case
sb ty
[#:B idx (if (= (+ count outer) idx)
image
ty)]
;; necessary to avoid infinite loops
[#:Union elems (*Union (remove-dups (sort (map sb elems) type<?)))]
[#:Mu (Scope: body) (*Mu (*Scope (loop (add1 outer) body)))]
[#:PolyDots n body*
(let ([body (remove-scopes n body*)])
(*PolyDots n (*Scope (loop (+ n outer) body))))]
[#:Poly n body*
(let ([body (remove-scopes n body*)])
(*Poly n (*Scope (loop (+ n outer) body))))])))
(let ([n (length images)])
(let loop ([ty (remove-scopes n sc)] [images images] [count (sub1 n)])
(if (zero? count)
(replace (car images) 0 ty)
(loop (replace (car images) count ty)
(cdr images)
(sub1 count))))))
(define (abstract name ty)
(abstract-many (list name) ty))
(define (instantiate type sc)
(instantiate-many (list type) sc))
#;(trace instantiate-many abstract-many)
;; the 'smart' constructor
(define (Mu* name body)
(let ([v (*Mu (abstract name body))])
(hash-set! name-table v name)
v))
;; the 'smart' destructor
(define (Mu-body* name t)
(match t
[(Mu: scope)
(instantiate (*F name) scope)]))
;; the 'smart' constructor
(define (Poly* names body)
(if (null? names) body
(let ([v (*Poly (length names) (abstract-many names body))])
(hash-set! name-table v names)
v)))
;; the 'smart' destructor
(define (Poly-body* names t)
(match t
[(Poly: n scope)
(unless (= (length names) n)
(error "Wrong number of names"))
(instantiate-many (map *F names) scope)]))
;; the 'smart' constructor
(define (PolyDots* names body)
(if (null? names) body
(let ([v (*PolyDots (length names) (abstract-many names body))])
(hash-set! name-table v names)
v)))
;; the 'smart' destructor
(define (PolyDots-body* names t)
(match t
[(PolyDots: n scope)
(unless (= (length names) n)
(error "Wrong number of names"))
(instantiate-many (map *F names) scope)]))
(print-struct #t)
(define-match-expander Mu-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ bp) #'(? Mu? (app (lambda (t) (Scope-t (Mu-body t))) bp))])))
(define-match-expander Poly-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ n bp) #'(? Poly? (app (lambda (t) (list (Poly-n t) (Poly-body t))) (list n bp)))])))
(define-match-expander PolyDots-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ n bp) #'(? PolyDots? (app (lambda (t) (list (PolyDots-n t) (PolyDots-body t))) (list n bp)))])))
(define-match-expander Mu:*
(lambda (stx)
(syntax-case stx ()
[(_ np bp)
#'(? Mu?
(app (lambda (t) (let ([sym (gensym)])
(list sym (Mu-body* sym t))))
(list np bp)))])))
(define-match-expander Mu-name:
(lambda (stx)
(syntax-case stx ()
[(_ np bp)
#'(? Mu?
(app (lambda (t) (let ([sym (hash-ref name-table t (lambda _ (gensym)))])
(list sym (Mu-body* sym t))))
(list np bp)))])))
;; This match expander wraps the smart constructor
;; names are generated with gensym
(define-match-expander Poly:*
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? Poly?
(app (lambda (t)
(let* ([n (Poly-n t)]
[syms (build-list n (lambda _ (gensym)))])
(list syms (Poly-body* syms t))))
(list nps bp)))])))
;; This match expander uses the names from the hashtable
(define-match-expander Poly-names:
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? Poly?
(app (lambda (t)
(let* ([n (Poly-n t)]
[syms (hash-ref name-table t)])
(list syms (Poly-body* syms t))))
(list nps bp)))])))
;; This match expander wraps the smart constructor
;; names are generated with gensym
(define-match-expander PolyDots:*
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? PolyDots?
(app (lambda (t)
(let* ([n (PolyDots-n t)]
[syms (build-list n (lambda _ (gensym)))])
(list syms (PolyDots-body* syms t))))
(list nps bp)))])))
;; This match expander uses the names from the hashtable
(define-match-expander PolyDots-names:
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? PolyDots?
(app (lambda (t)
(let* ([n (PolyDots-n t)]
[syms (hash-ref name-table t)])
(list syms (PolyDots-body* syms t))))
(list nps bp)))])))
;; unfold : Type -> Type
;; must be applied to a Mu
(define (unfold t)
(match t
[(Mu: sc) (instantiate t sc)]
[_ (int-err "unfold: requires Mu type, got ~a" t)]))
;; type equality
(define type-equal? eq?)
;; inequality - good
(define (type<? s t)
(< (Type-seq s) (Type-seq t)))
(define (type-compare s t)
(cond [(eq? s t) 0]
[(type<? s t) 1]
[else -1]))
;(trace subst subst-all)
(provide
unfold
Mu-name: Poly-names:
PolyDots-names:
Type-seq Effect-seq
Mu-unsafe: Poly-unsafe:
PolyDots-unsafe:
Mu? Poly? PolyDots?
arr
Type? Effect?
Poly-n
PolyDots-n
free-vars*
type-equal? type-compare type<?
remove-dups
(rename-out [Mu:* Mu:]
[Poly:* Poly:]
[PolyDots:* PolyDots:]
[Mu* make-Mu]
[Poly* make-Poly]
[Mu-body* Mu-body]
[Poly-body* Poly-body]
[PolyDots-body* PolyDots-body]))
;(trace unfold)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; sub-eff : (Type -> Type) Eff -> Eff
(define (sub-eff sb eff)
(effect-case sb eff))
(define (add-scopes n t)
(if (zero? n) t
(add-scopes (sub1 n) (*Scope t))))
(define (remove-scopes n sc)
(if (zero? n)
sc
(match sc
[(Scope: sc*) (remove-scopes (sub1 n) sc*)]
[_ (int-err "Tried to remove too many scopes: ~a" sc)])))
;; abstract-many : Names Type -> Scope^n
;; where n is the length of names
(define (abstract-many names ty)
(define (nameTo name count type)
(let loop ([outer 0] [ty type])
(define (sb t) (loop outer t))
(type-case
sb ty
[#:F name* (if (eq? name name*) (*B (+ count outer)) ty)]
;; necessary to avoid infinite loops
[#:Union elems (*Union (remove-dups (sort (map sb elems) type<?)))]
;; functions
[#:arr dom rng rest drest thn-eff els-eff
(*arr (map sb dom)
(sb rng)
(if rest (sb rest) #f)
(if drest
(cons (sb (car drest))
(if (eq? (cdr drest) name) (+ count outer) (cdr drest)))
#f)
(map (lambda (e) (sub-eff sb e)) thn-eff)
(map (lambda (e) (sub-eff sb e)) els-eff))]
[#:Mu (Scope: body) (*Mu (*Scope (loop (add1 outer) body)))]
[#:PolyDots n body*
(let ([body (remove-scopes n body*)])
(*PolyDots n (*Scope (loop (+ n outer) body))))]
[#:Poly n body*
(let ([body (remove-scopes n body*)])
(*Poly n (*Scope (loop (+ n outer) body))))])))
(let ([n (length names)])
(let loop ([ty ty] [names names] [count (sub1 n)])
(if (zero? count)
(add-scopes n (nameTo (car names) 0 ty))
(loop (nameTo (car names) count ty)
(cdr names)
(sub1 count))))))
;; instantiate-many : List[Type] Scope^n -> Type
;; where n is the length of types
;; all of the types MUST be Fs
(define (instantiate-many images sc)
(define (replace image count type)
(let loop ([outer 0] [ty type])
(define (sb t) (loop outer t))
(type-case
sb ty
[#:B idx (if (= (+ count outer) idx)
image
ty)]
;; necessary to avoid infinite loops
[#:Union elems (*Union (remove-dups (sort (map sb elems) type<?)))]
;; functions
[#:arr dom rng rest drest thn-eff els-eff
(*arr (map sb dom)
(sb rng)
(if rest (sb rest) #f)
(if drest
(cons (sb (car drest))
(if (= (cdr drest) (+ count outer)) (F-n image) (cdr drest)))
#f)
(map (lambda (e) (sub-eff sb e)) thn-eff)
(map (lambda (e) (sub-eff sb e)) els-eff))]
[#:Mu (Scope: body) (*Mu (*Scope (loop (add1 outer) body)))]
[#:PolyDots n body*
(let ([body (remove-scopes n body*)])
(*PolyDots n (*Scope (loop (+ n outer) body))))]
[#:Poly n body*
(let ([body (remove-scopes n body*)])
(*Poly n (*Scope (loop (+ n outer) body))))])))
(let ([n (length images)])
(let loop ([ty (remove-scopes n sc)] [images images] [count (sub1 n)])
(if (zero? count)
(replace (car images) 0 ty)
(loop (replace (car images) count ty)
(cdr images)
(sub1 count))))))
(define (abstract name ty)
(abstract-many (list name) ty))
(define (instantiate type sc)
(instantiate-many (list type) sc))
#;(trace instantiate-many abstract-many)
;; the 'smart' constructor
(define (Mu* name body)
(let ([v (*Mu (abstract name body))])
(hash-set! name-table v name)
v))
;; the 'smart' destructor
(define (Mu-body* name t)
(match t
[(Mu: scope)
(instantiate (*F name) scope)]))
;; the 'smart' constructor
(define (Poly* names body)
(if (null? names) body
(let ([v (*Poly (length names) (abstract-many names body))])
(hash-set! name-table v names)
v)))
;; the 'smart' destructor
(define (Poly-body* names t)
(match t
[(Poly: n scope)
(unless (= (length names) n)
(error "Wrong number of names"))
(instantiate-many (map *F names) scope)]))
;; the 'smart' constructor
(define (PolyDots* names body)
(if (null? names) body
(let ([v (*PolyDots (length names) (abstract-many names body))])
(hash-set! name-table v names)
v)))
;; the 'smart' destructor
(define (PolyDots-body* names t)
(match t
[(PolyDots: n scope)
(unless (= (length names) n)
(error "Wrong number of names"))
(instantiate-many (map *F names) scope)]))
(print-struct #t)
(define-match-expander Mu-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ bp) #'(? Mu? (app (lambda (t) (Scope-t (Mu-body t))) bp))])))
(define-match-expander Poly-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ n bp) #'(? Poly? (app (lambda (t) (list (Poly-n t) (Poly-body t))) (list n bp)))])))
(define-match-expander PolyDots-unsafe:
(lambda (stx)
(syntax-case stx ()
[(_ n bp) #'(? PolyDots? (app (lambda (t) (list (PolyDots-n t) (PolyDots-body t))) (list n bp)))])))
(define-match-expander Mu:*
(lambda (stx)
(syntax-case stx ()
[(_ np bp)
#'(? Mu?
(app (lambda (t) (let ([sym (gensym)])
(list sym (Mu-body* sym t))))
(list np bp)))])))
(define-match-expander Mu-name:
(lambda (stx)
(syntax-case stx ()
[(_ np bp)
#'(? Mu?
(app (lambda (t) (let ([sym (hash-ref name-table t (lambda _ (gensym)))])
(list sym (Mu-body* sym t))))
(list np bp)))])))
;; This match expander wraps the smart constructor
;; names are generated with gensym
(define-match-expander Poly:*
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? Poly?
(app (lambda (t)
(let* ([n (Poly-n t)]
[syms (build-list n (lambda _ (gensym)))])
(list syms (Poly-body* syms t))))
(list nps bp)))])))
;; This match expander uses the names from the hashtable
(define-match-expander Poly-names:
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? Poly?
(app (lambda (t)
(let* ([n (Poly-n t)]
[syms (hash-ref name-table t)])
(list syms (Poly-body* syms t))))
(list nps bp)))])))
;; This match expander wraps the smart constructor
;; names are generated with gensym
(define-match-expander PolyDots:*
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? PolyDots?
(app (lambda (t)
(let* ([n (PolyDots-n t)]
[syms (build-list n (lambda _ (gensym)))])
(list syms (PolyDots-body* syms t))))
(list nps bp)))])))
;; This match expander uses the names from the hashtable
(define-match-expander PolyDots-names:
(lambda (stx)
(syntax-case stx ()
[(_ nps bp)
#'(? PolyDots?
(app (lambda (t)
(let* ([n (PolyDots-n t)]
[syms (hash-ref name-table t)])
(list syms (PolyDots-body* syms t))))
(list nps bp)))])))
;; type equality
(define type-equal? eq?)
;; inequality - good
(define (type<? s t)
(< (Type-seq s) (Type-seq t)))
(define (type-compare s t)
(cond [(eq? s t) 0]
[(type<? s t) 1]
[else -1]))
;(trace subst subst-all)
(provide
Mu-name: Poly-names:
PolyDots-names:
Type-seq Effect-seq
Mu-unsafe: Poly-unsafe:
PolyDots-unsafe:
Mu? Poly? PolyDots?
arr
Type? Effect?
Poly-n
PolyDots-n
free-vars*
type-equal? type-compare type<?
remove-dups
(rename-out [Mu:* Mu:]
[Poly:* Poly:]
[PolyDots:* PolyDots:]
[Mu* make-Mu]
[Poly* make-Poly]
[Mu-body* Mu-body]
[Poly-body* Poly-body]
[PolyDots-body* PolyDots-body]))
;(trace unfold)

View File

@ -17,7 +17,8 @@
tc-result:
tc-result-equal?
effects-equal?
tc-result-t)
tc-result-t
unfold)
;; substitute : Type Name Type -> Type
@ -35,7 +36,12 @@
(foldr (lambda (e acc) (substitute (cadr e) (car e) acc)) t s))
;; unfold : Type -> Type
;; must be applied to a Mu
(define (unfold t)
(match t
[(Mu: name b) (substitute t name b)]
[_ (int-err "unfold: requires Mu type, got ~a" t)]))
(define (instantiate-poly t types)
(match t