syndicate-2017/racket/typed/core.rkt

1186 lines
39 KiB
Racket

#lang turnstile
(provide (rename-out [syndicate:#%module-begin #%module-begin])
(rename-out [typed-app #%app])
(rename-out [syndicate:begin-for-declarations declare-types])
#%top-interaction
require only-in
;; Types
Int Bool String Tuple Bind Discard ★/t List
Observe Inbound Outbound Actor U (type-out U*)
Event AssertionSet Patch Instruction
;; Core Forms
actor dataspace make-assertion-set project patch
tuple select lambda observe inbound outbound
idle quit transition patch-added patch-removed
for/fold
;; extensions
assert retract sub unsub patch-seq patch-seq*
;; core-ish forms
begin define let let* ann if
;; values
#%datum
;; patterns
bind discard
;; primitives
+ - * / and or not > < >= <= = equal? displayln
list first rest empty? member?
;; sets
Set set set-member? set-add set-count set-union set-subtract set-intersect
list->set set->list
;; making types
define-type-alias
define-constructor
;; DEBUG and utilities
print-type
(rename-out [printf- printf])
begin-for-syntax
(for-syntax #%app displayln type-eval current-type? syntax)
;; Extensions
)
(require (for-meta 2 macrotypes/stx-utils racket/list syntax/stx))
(require (for-syntax turnstile/examples/util/filter-maximal))
(require macrotypes/postfix-in)
(require (rename-in racket/math [exact-truncate exact-truncate-]))
(require (postfix-in - racket/list))
(require (postfix-in - racket/set))
(require (prefix-in syndicate: syndicate/core-lang)
(prefix-in syndicate: syndicate/trie)
(prefix-in syndicate: syndicate/comprehensions))
(module+ test
(require rackunit)
(require rackunit/turnstile))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Needed Forms
;; * dataspace DONE
;; * actor DONE
;; * make-assertion-set DONE
;; - ★ DONE
;; * patch DONE
;; * project DONE
;; - bind
;; - discard
;; * transition DONE
;; * quit DONE
;; * fold DONE
;; * list DONE
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Types
(define-base-types Int Bool String Discard ★/t)
(define-type-constructor Bind #:arity = 1)
(define-type-constructor Tuple #:arity >= 0)
(define-type-constructor #:arity > 0)
(define-type-constructor Observe #:arity = 1)
(define-type-constructor Inbound #:arity = 1)
(define-type-constructor Outbound #:arity = 1)
(define-type-constructor Actor #:arity = 1)
(define-type-constructor AssertionSet #:arity = 1)
(define-type-constructor Patch #:arity = 2)
(define-type-constructor List #:arity = 1)
(define-type-constructor Set #:arity = 1)
;; essentially the sum type of a transition or quit
(define-type-constructor Instruction #:arity = 3)
(define-for-syntax (type-eval t)
((current-type-eval) t))
(define-type-constructor U* #:arity >= 0)
(define-for-syntax (prune+sort tys)
(stx-sort
(filter-maximal
(stx->list tys)
typecheck?)))
(define-syntax (U stx)
(syntax-parse stx
[(_ . tys)
;; canonicalize by expanding to U*, with only (sorted and pruned) leaf tys
#:with ((~or (~U* ty1- ...) ty2-) ...) (stx-map (current-type-eval) #'tys)
#:with tys- (prune+sort #'(ty1- ... ... ty2- ...))
(if (= 1 (stx-length #'tys-))
(stx-car #'tys-)
(syntax/loc stx (U* . tys-)))]))
(begin-for-syntax
(define-syntax ~U/no-order
(pattern-expander
(syntax-parser
[(_ p ...)
#:fail-when (stx-ormap (lambda [x] (and (identifier? x)
(free-identifier=? x #'(... ...))))
#'(p ...))
"ellipses not allowed"
#:with ((v ...) ...) (permutations (stx->list #'(p ...)))
#'(~or* (~U* v ...) ...)]))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; User Defined Types, aka Constructors
;; τ.norm in 1st case causes "not valid type" error when referring to ⊥ in another file.
;; however, this version expands the type at every reference, incurring a potentially large
;; overhead---2x in the case of book-club.rkt
;; (copied from ext-stlc example)
(define-syntax define-type-alias
(syntax-parser
[(_ alias:id τ)
#'(define-syntax- alias
(make-variable-like-transformer #'τ))]
[(_ (f:id x:id ...) ty)
#'(define-syntax- (f stx)
(syntax-parse stx
[(_ x ...)
#:with τ:any-type #'ty
#'τ.norm]))]))
(begin-for-syntax
(define-splicing-syntax-class type-constructor-decl
(pattern (~seq #:type-constructor TypeCons:id))
(pattern (~seq) #:attr TypeCons #f))
(struct user-ctor (typed-ctor untyped-ctor)
#:property prop:procedure
(lambda (v stx)
(define transformer (user-ctor-typed-ctor v))
(syntax-parse stx
[(_ e ...)
#`(#,transformer e ...)]))))
(define-syntax (define-constructor stx)
(syntax-parse stx
[(_ (Cons:id slot:id ...)
ty-cons:type-constructor-decl
(~seq #:with
Alias AliasBody) ...)
#:with TypeCons (or (attribute ty-cons.TypeCons) (format-id stx "~a/t" (syntax-e #'Cons)))
#:with MakeTypeCons (format-id #'TypeCons "make-~a" #'TypeCons)
#:with GetTypeParams (format-id #'TypeCons "get-~a-type-params" #'TypeCons)
#:with TypeConsExpander (format-id #'TypeCons "~~~a" #'TypeCons)
#:with TypeConsExtraInfo (format-id #'TypeCons "~a-extra-info" #'TypeCons)
#:with (StructName Cons- type-tag) (generate-temporaries #'(Cons Cons Cons))
(define arity (stx-length #'(slot ...)))
#`(begin-
(struct- StructName (slot ...) #:reflection-name 'Cons #:transparent)
(define-syntax (TypeConsExtraInfo stx)
(syntax-parse stx
[(_ X (... ...)) #'('type-tag 'MakeTypeCons 'GetTypeParams)]))
(define-type-constructor TypeCons
#:arity = #,arity
#:extra-info 'TypeConsExtraInfo)
(define-syntax (MakeTypeCons stx)
(syntax-parse stx
[(_ t (... ...))
#:fail-unless (= #,arity (stx-length #'(t (... ...)))) "arity mismatch"
#'(TypeCons t (... ...))]))
(define-syntax (GetTypeParams stx)
(syntax-parse stx
[(_ (TypeConsExpander t (... ...)))
#'(t (... ...))]))
(define-syntax Cons
(user-ctor #'Cons- #'StructName))
(define-typed-syntax (Cons- e (... ...))
#:fail-unless (= #,arity (stx-length #'(e (... ...)))) "arity mismatch"
[ e e- ( : τ)] (... ...)
----------------------
[ (#%app- StructName e- (... ...)) ( : (TypeCons τ (... ...)))])
(define-type-alias Alias AliasBody) ...)]))
(begin-for-syntax
(define-syntax ~constructor-extra-info
(pattern-expander
(syntax-parser
[(_ tag mk get)
#'(_ (_ tag) (_ mk) (_ get))])))
(define-syntax ~constructor-type
(pattern-expander
(syntax-parser
[(_ tag . rst)
#'(~and it
(~fail #:unless (user-defined-type? #'it))
(~parse tag (get-type-tag #'it))
(~Any _ . rst))])))
(define-syntax ~constructor-exp
(pattern-expander
(syntax-parser
[(_ cons . rst)
#'(~and (cons . rst)
(~fail #:unless (ctor-id? #'cons)))])))
(define (inspect t)
(syntax-parse t
[(~constructor-type tag t ...)
(list (syntax-e #'tag) (stx-map type->str #'(t ...)))]))
(define (tags-equal? t1 t2)
(equal? (syntax-e t1) (syntax-e t2)))
(define (user-defined-type? t)
(get-extra-info (type-eval t)))
(define (get-type-tag t)
(syntax-parse (get-extra-info t)
[(~constructor-extra-info tag _ _)
(syntax-e #'tag)]))
(define (get-type-args t)
(syntax-parse (get-extra-info t)
[(~constructor-extra-info _ _ get)
(define f (syntax-local-value #'get))
(syntax->list (f #`(get #,t)))]))
(define (make-cons-type t args)
(syntax-parse (get-extra-info t)
[(~constructor-extra-info _ mk _)
(define f (syntax-local-value #'mk))
(type-eval (f #`(mk #,@args)))]))
(define (ctor-id? stx)
(and (identifier? stx)
(user-ctor? (syntax-local-value stx (const #f)))))
(define (untyped-ctor stx)
(user-ctor-untyped-ctor (syntax-local-value stx (const #f)))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Conveniences
(define-type-alias (Action τ-a τ-s)
(U (Patch τ-a ★/t) (Actor τ-s)))
(begin-for-syntax
(define-syntax ~Action
(pattern-expander
(syntax-parser
[(_ p1 p2)
#'(~or (~and (~Patch p1 _)
(~parse p2 (type-eval #'(U))))
(~and (~Actor p2)
(~parse p1 (type-eval #'(U))))
(~U/no-order (~Patch p1 _) (~Actor p2)))]))))
(define-type-alias (Event τ)
(Patch τ τ))
#;(begin-for-syntax
(define-syntax ~Event
(pattern-expander
(syntax-parser
[(_ t)
#`(~and (~Patch τ1:type τ2:type)
(~parse t #,(type-eval #'(U τ1 τ2))))]))))
(define-type-alias (U))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Syntax
(begin-for-syntax
;; constructors with arity one
(define-syntax-class kons1
(pattern (~or (~datum observe)
(~datum inbound)
(~datum outbound))))
(define (kons1->constructor stx)
(syntax-parse stx
#:datum-literals (observe inbound outbound)
[observe #'syndicate:observe]
[inbound #'syndicate:inbound]
[outbound #'syndicate:outbound]))
(define-syntax-class basic-val
(pattern (~or boolean
integer
string)))
(define-syntax-class prim-op
(pattern (~or (~literal +)
(~literal -)
(~literal displayln)))))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Subtyping
;; Type Type -> Bool
(define-for-syntax (<: t1 t2)
#;(printf "Checking ~a <: ~a\n" (type->str t1) (type->str t2))
;; should add a check for type=?
(syntax-parse #`(#,t1 #,t2)
#;[(τ1 τ2) #:do [(displayln (type->str #'τ1))
(displayln (type->str #'τ2))]
#:when #f
(error "")]
[((~U* τ1 ...) _)
(stx-andmap (lambda (t) (<: t t2)) #'(τ1 ...))]
[(_ (~U* τ2:type ...))
(stx-ormap (lambda (t) (<: t1 t)) #'(τ2 ...))]
[((~Actor τ1:type) (~Actor τ2:type))
;; should these be .norm? Is the invariant that inputs are always fully
;; evalutated/expanded?
(and (<: #'τ1 #'τ2)
(<: ( (strip-? #'τ1) #'τ2) #'τ1))]
[((~AssertionSet τ1) (~AssertionSet τ2))
(<: #'τ1 #'τ2)]
[((~Set τ1) (~Set τ2))
(<: #'τ1 #'τ2)]
[((~Patch τ11 τ12) (~Patch τ21 τ22))
(and (<: #'τ11 #'τ21)
(<: #'τ12 #'τ22))]
[((~Instruction τs1 τo1 τa1) (~Instruction τs2 τo2 τa2))
(and (<: #'τs1 #'τs2)
(<: #'τo1 #'τo2)
(<: (type-eval #'(Actor τa1)) (type-eval #'(Actor τa2))))]
[((~Tuple τ1:type ...) (~Tuple τ2:type ...))
#:when (stx-length=? #'(τ1 ...) #'(τ2 ...))
(stx-andmap <: #'(τ1 ...) #'(τ2 ...))]
[(_ ~★/t)
(flat-type? t1)]
[((~Observe τ1:type) (~Observe τ2:type))
(<: #'τ1 #'τ2)]
[((~Inbound τ1:type) (~Inbound τ2:type))
(<: #'τ1 #'τ2)]
[((~Outbound τ1:type) (~Outbound τ2:type))
(<: #'τ1 #'τ2)]
[((~constructor-type t1 τ1:type ...) (~constructor-type t2 τ2:type ...))
#:when (tags-equal? #'t1 #'t2)
(and (stx-length=? #'(τ1 ...) #'(τ2 ...))
(stx-andmap <: #'(τ1 ...) #'(τ2 ...)))]
[((~→ τ-in1 ... τ-out1) (~→ τ-in2 ... τ-out2))
#:when (stx-length=? #'(τ-in1 ...) #'(τ-in2 ...))
(and (stx-andmap <: #'(τ-in2 ...) #'(τ-in1 ...))
(<: #'τ-out1 #'τ-out2))]
[(~Discard _)
#t]
;; should probably put this first.
[_ (type=? t1 t2)]))
(define-for-syntax (bot? t)
(<: t (type-eval #'(U))))
;; Flat-Type Flat-Type -> Type
(define-for-syntax ( t1 t2)
(unless (and (flat-type? t1) (flat-type? t2))
(error ' "expected two flat-types"))
(syntax-parse #`(#,t1 #,t2)
[(_ ~★/t)
t1]
[(~★/t _)
t2]
[(_ _)
#:when (type=? t1 t2)
t1]
[((~U* τ1:type ...) _)
(type-eval #`(U #,@(stx-map (lambda (t) ( t t2)) #'(τ1 ...))))]
[(_ (~U* τ2:type ...))
(type-eval #`(U #,@(stx-map (lambda (t) ( t1 t)) #'(τ2 ...))))]
[((~AssertionSet τ1) (~AssertionSet τ2))
#:with τ12 ( #'τ1 #'τ2)
(type-eval #'(AssertionSet τ12))]
[((~Set τ1) (~Set τ2))
#:with τ12 ( #'τ1 #'τ2)
(type-eval #'(Set τ12))]
[((~Patch τ11 τ12) (~Patch τ21 τ22))
#:with τ1 ( #'τ11 #'τ12)
#:with τ2 ( #'τ21 #'τ22)
(type-eval #'(Patch τ1 τ2))]
[((~Instruction τs1 τo1 τa1) (~Instruction τs2 τo2 τa2))
#:with τs ( #'τs1 #'τs2)
#:fail-when (bot? #'τs) #f
#:with τa ( #'τa1 #'τa2)
#:fail-when (bot? #'τa) #f
#:with τo ( #'τo1 #'τo2)
(type-eval #'(Instruction τs τo τa))]
;; all of these fail-when/unless clauses are meant to cause this through to
;; the last case and result in ⊥.
;; Also, using <: is OK, even though <: refers to ∩, because <:'s use of ∩ is only
;; in the Actor case.
[((~Tuple τ1:type ...) (~Tuple τ2:type ...))
#:fail-unless (stx-length=? #'(τ1 ...) #'(τ2 ...)) #f
#:with (τ ...) (stx-map #'(τ1 ...) #'(τ2 ...))
;; I don't think stx-ormap is part of the documented api of turnstile *shrug*
#:fail-when (stx-ormap (lambda (t) (<: t (type-eval #'(U)))) #'(τ ...)) #f
(type-eval #'(Tuple τ ...))]
[((~constructor-type tag1 τ1:type ...) (~constructor-type tag2 τ2:type ...))
#:when (tags-equal? #'tag1 #'tag2)
#:with (τ ...) (stx-map #'(τ1 ...) #'(τ2 ...))
#:fail-when (stx-ormap (lambda (t) (<: t (type-eval #'(U)))) #'(τ ...)) #f
(make-cons-type t1 #'(τ ...))]
;; these three are just the same :(
[((~Observe τ1:type) (~Observe τ2:type))
#:with τ ( #'τ1 #'τ2)
#:fail-when (<: #'τ (type-eval #'(U))) #f
(type-eval #'(Observe τ))]
[((~Inbound τ1:type) (~Inbound τ2:type))
#:with τ ( #'τ1 #'τ2)
#:fail-when (<: #'τ (type-eval #'(U))) #f
(type-eval #'(Inbound τ))]
[((~Outbound τ1:type) (~Outbound τ2:type))
#:with τ ( #'τ1 #'τ2)
#:fail-when (<: #'τ (type-eval #'(U))) #f
(type-eval #'(Outbound τ))]
[_ (type-eval #'(U))]))
;; Type Type -> Bool
;; first type is the contents of the set
;; second type is the type of a pattern
(define-for-syntax (project-safe? t1 t2)
(syntax-parse #`(#,t1 #,t2)
[(_ (~Bind τ2:type))
(and (finite? t1) (<: t1 #'τ2))]
[(_ ~Discard)
#t]
[(_ ~★/t)
#t]
[((~U* τ1:type ...) _)
(stx-andmap (lambda (t) (project-safe? t t2)) #'(τ1 ...))]
[(_ (~U* τ2:type ...))
(stx-andmap (lambda (t) (project-safe? t1 t)) #'(τ2 ...))]
[((~Tuple τ1:type ...) (~Tuple τ2:type ...))
#:when (overlap? t1 t2)
(stx-andmap project-safe? #'(τ1 ...) #'(τ2 ...))]
[((~constructor-type _ τ1:type ...) (~constructor-type _ τ2:type ...))
#:when (overlap? t1 t2)
(stx-andmap project-safe? #'(τ1 ...) #'(τ2 ...))]
[((~Observe τ1:type) (~Observe τ2:type))
(project-safe? #'τ1 #'τ2)]
[((~Inbound τ1:type) (~Inbound τ2:type))
(project-safe? #'τ1 #'τ2)]
[((~Outbound τ1:type) (~Outbound τ2:type))
(project-safe? #'τ1 #'τ2)]
[_ #t]))
;; AssertionType PatternType -> Bool
;; Is it possible for things of these two types to match each other?
;; Flattish-Type = Flat-Types + ★/t, Bind, Discard (assertion and pattern types)
(define-for-syntax (overlap? t1 t2)
(syntax-parse #`(#,t1 #,t2)
[(~★/t _) #t]
[(_ (~Bind _)) #t]
[(_ ~Discard) #t]
[(_ ~★/t) #t]
[((~U* τ1:type ...) _)
(stx-ormap (lambda (t) (overlap? t t2)) #'(τ1 ...))]
[(_ (~U* τ2:type ...))
(stx-ormap (lambda (t) (overlap? t1 t)) #'(τ2 ...))]
[((~List _) (~List _))
;; share the empty list
#t]
[((~Tuple τ1:type ...) (~Tuple τ2:type ...))
(and (stx-length=? #'(τ1 ...) #'(τ2 ...))
(stx-andmap overlap? #'(τ1 ...) #'(τ2 ...)))]
[((~constructor-type t1 τ1:type ...) (~constructor-type t2 τ2:type ...))
(and (tags-equal? #'t1 #'t2)
(stx-andmap overlap? #'(τ1 ...) #'(τ2 ...)))]
[((~Observe τ1:type) (~Observe τ2:type))
(overlap? #'τ1 #'τ2)]
[((~Inbound τ1:type) (~Inbound τ2:type))
(overlap? #'τ1 #'τ2)]
[((~Outbound τ1:type) (~Outbound τ2:type))
(overlap? #'τ1 #'τ2)]
[_ (<: t1 t2)]))
;; Flattish-Type -> Bool
(define-for-syntax (finite? t)
(syntax-parse t
[~★/t #f]
[(~U* τ:type ...)
(stx-andmap finite? #'(τ ...))]
[(~Tuple τ:type ...)
(stx-andmap finite? #'(τ ...))]
[(~constructor-type _ τ:type ...)
(stx-andmap finite? #'(τ ...))]
[(~Observe τ:type)
(finite? #'τ)]
[(~Inbound τ:type)
(finite? #'τ)]
[(~Outbound τ:type)
(finite? #'τ)]
[(~Set τ:type)
(finite? #'τ)]
[_ #t]))
;; !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
;; MODIFYING GLOBAL TYPECHECKING STATE!!!!!
;; !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(begin-for-syntax
(current-typecheck-relation <:))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Core forms
(define-typed-syntax (actor τ-c:type beh st0 as0)
#:fail-unless (flat-type? #'τ-c.norm) "Communication type must be first-order"
[ beh beh- (~→ (~Patch τ-i1 τ-i2)
τ-s
(~Instruction τ-s2 τ-ta τ-ts))]
[ st0 st0- τ-st0]
[ as0 as0- (~AssertionSet τ-as0)]
#:with τ-out (type-eval #'(U τ-ta τ-as0))
#:with τ-in (type-eval #'(U τ-i1 τ-i2))
#:fail-unless (<: #'τ-st0 #'τ-s)
"bad initial state"
#:fail-unless (<: #'τ-s2 #'τ-s)
"bad state update"
#:fail-unless (<: #'τ-out #'τ-c.norm)
"output not allowed in dataspace"
#:fail-unless (<: (type-eval #'(Actor τ-ts))
(type-eval #'(Actor τ-c.norm)))
"spawned actors not valid in dataspace"
#:fail-unless (<: ( (strip-? #'τ-out) #'τ-c.norm) #'τ-in)
"Not prepared to handle all inputs"
--------------------------------------------------------------------------------------------
[ (syndicate:actor (filter-poll-events beh-)
st0-
(list- (syndicate:patch as0- syndicate:trie-empty)))
(Actor τ-c)])
(define ((filter-poll-events beh) e s)
(and- e (beh e s)))
(define-typed-syntax (dataspace τ-c:type e)
#:fail-unless (flat-type? #'τ-c.norm) "Communication type must be first-order"
[ e e- (~List τa:type)]
#:fail-unless (<: #'τa.norm (type-eval #'(Actor τ-c.norm)))
"Not all actors conform to communication type"
#:with τ-ds-i (strip-inbound #'τ-c.norm)
#:with τ-ds-o (strip-outbound #'τ-c.norm)
#:with τ-relay (relay-interests #'τ-c.norm)
-----------------------------------------------------------------------------------
[ (syndicate:dataspace-actor e-) (Actor (U τ-ds-i τ-ds-o τ-relay))])
(define-typed-syntax (transition e-s e-as)
[ e-s e-s- τ-s]
[ e-as e-as- (~List τ)]
;; this parsing of actions is getting realllly hacky
#:with (~or (~Action τ-o τ-a)
(~parse (τ-o τ-a) (stx-map type-eval #'( )))) #'τ
-----------------------------------------
[ (syndicate:transition e-s- e-as-) (Instruction τ-s τ-o τ-a)])
(define-typed-syntax quit
[(quit)
-------------------------------------
[ (syndicate:quit) (Instruction (U) (U) (U))]]
[(quit as)
[ as as- (~List τ)]
;; this parsing of actions is getting realllly hacky
#:with (~or (~Action τ-o τ-a)
(~parse (τ-o τ-a) (stx-map type-eval #'( )))) #'τ
----------------------------------------
[ (syndicate:quit as-) (Instruction (U) τ-o τ-a)]])
(define-typed-syntax idle
[_
-------------------------
[ #f (Instruction (U) (U) (U))]])
(define-typed-syntax
[_
-------------------------
[ syndicate:? ★/t]])
(define-typed-syntax (make-assertion-set e ...)
[ e e- τ] ...
#:fail-unless (stx-andmap flat-type? #'(τ ...))
"assertions must be first-order"
-------------------------------------------------
[ (syndicate:trie-union-all (list- (syndicate:pattern->trie 'typed e-) ...))
(AssertionSet (U τ ...))])
(define-typed-syntax (patch e-add e-sub)
[ e-add e-add- (~AssertionSet τ-add)]
[ e-sub e-sub- (~AssertionSet τ-sub)]
--------------------------------------------
[ (syndicate:patch e-add- e-sub-) (Patch τ-add τ-sub)])
(define-typed-syntax (project [pat e-set] e-body)
[ e-set e-set- (~AssertionSet τ-s:type)]
[ pat _ τ-p:type]
#:with ([x:id τ:type] ...) (pat-bindings #'pat)
[[x x- : τ] ... e-body e-body- τ-b]
#:fail-unless (project-safe? #'τ-s.norm #'τ-p.norm)
"pattern captures infinite set"
#:with pat- (substs #'(x- ...) #'(x ...) (compile-syndicate-pattern #'pat))
--------------------------------------------------------
[ (syndicate:for-trie/list ([pat- e-set-])
e-body-)
(List τ-b)])
(begin-for-syntax
(define (compile-pattern pat bind-id-transformer exp-transformer)
(define (l-e stx) (local-expand stx 'expression '()))
(let loop ([pat pat])
(syntax-parse pat
#:datum-literals (tuple discard bind)
[(tuple p ...)
#`(list- 'tuple #,@(stx-map loop #'(p ...)))]
[(k:kons1 p)
#`(#,(kons1->constructor #'k) #,(loop #'p))]
[(bind x:id τ:type)
(bind-id-transformer #'x)]
[discard
#'_]
[(~constructor-exp ctor p ...)
(define/with-syntax uctor (untyped-ctor #'ctor))
#`(uctor #,@(stx-map loop #'(p ...)))]
[_
;; local expanding "expression-y" syntax allows variable references to transform
;; according to the mappings set up by turnstile.
(exp-transformer (l-e pat))])))
(define (compile-syndicate-pattern pat)
(compile-pattern pat
(lambda (id) #`($ #,id))
identity)))
(define-typed-syntax (list e ...)
[ e e- τ] ...
-------------------
[ (list- e- ...) (List (U τ ...))])
(define-typed-syntax (for/fold [acc:id e-acc]
[x:id e-list]
e-body)
[ e-list e-list- (~List τ-l)]
[ e-acc e-acc- τ-a:type]
[[x x- : τ-l] [acc acc- : τ-a] e-body e-body- τ-b:type]
#:fail-unless (<: #'τ-b.norm #'τ-a.norm)
"loop body doesn't match accumulator"
-------------------------------------------------------
[ (for/fold- ([acc- e-acc-])
([x- (in-list- e-list-)])
e-body-)
τ-b])
(define-for-syntax (strip-? t)
(type-eval
(syntax-parse t
;; TODO: probably need to `normalize` the result
[(~U* τ ...) #`(U #,@(stx-map strip-? #'(τ ...)))]
[~★/t #'★/t]
[(~Observe τ) #'τ]
[_ #'(U)])))
(define-for-syntax (strip-inbound t)
(type-eval
(syntax-parse t
;; TODO: probably need to `normalize` the result
[(~U* τ ...) #`(U #,@(stx-map strip-? #'(τ ...)))]
[~★/t #'★/t]
[(~Inbound τ) #'τ]
[_ #'(U)])))
(define-for-syntax (strip-outbound t)
(type-eval
(syntax-parse t
;; TODO: probably need to `normalize` the result
[(~U* τ ...) #`(U #,@(stx-map strip-? #'(τ ...)))]
[~★/t #'★/t]
[(~Outbound τ) #'τ]
[_ #'(U)])))
(define-for-syntax (relay-interests t)
(type-eval
(syntax-parse t
;; TODO: probably need to `normalize` the result
[(~U* τ ...) #`(U #,@(stx-map strip-? #'(τ ...)))]
[~★/t #'★/t]
[(~Observe (~Inbound τ)) #'(Observe τ)]
[_ #'(U)])))
(define-for-syntax (procedure-type? τ)
(syntax-parse τ
[(~→ τ ...+) #t]
[_ #f]))
(define-for-syntax (flat-type? τ)
(syntax-parse τ
[(~→ τ ...) #f]
[_ #t]))
(define-typed-syntax (unsafe-do rkt:expr ...)
------------------------
[ (let- () rkt ...) ( : (U)) ( :i (U)) ( :o (U)) ( :a (U))])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Expressions
(define-typed-syntax (lambda ([x:id (~optional (~datum :)) τ:type] ...) body ...+)
[[x x- : τ] ... (begin body ...) body- τ-e]
----------------------------------------
[ (lambda- (x- ...) body-) ( τ ... τ-e)])
(define-typed-syntax (tuple e:expr ...)
[ e e- ( : τ)] ...
-----------------------
[ (list- 'tuple e- ...) ( : (Tuple τ ...))])
(define-typed-syntax (select n:nat e:expr)
#:do [(define i (syntax->datum #'n))]
[ e e- (~Tuple τ ...)]
#:fail-unless (< i (stx-length #'(τ ...))) "index out of range"
#:with τr (list-ref (stx->list #'(τ ...)) i)
--------------------------------------------------------------
[ (tuple-select n e-) τr])
(define- (tuple-select n t)
(list-ref- t (add1 n)))
(define-typed-syntax (typed-app e_fn e_arg ...)
[ e_fn e_fn- ( : (~→ τ_in:type ... τ_out:type))]
#:fail-unless (stx-length=? #'[τ_in ...] #'[e_arg ...])
(num-args-fail-msg #'e_fn #'[τ_in ...] #'[e_arg ...])
[ e_arg e_arg- τ_in] ...
------------------------------------------------------------------------
[ (#%app- e_fn- e_arg- ...) ( : τ_out)])
;; it would be nice to abstract over these three
(define-typed-syntax (observe e:expr)
[ e e- ( : τ)]
---------------------------------------------------------------------------
[ (syndicate:observe e-) ( : (Observe τ))])
(define-typed-syntax (inbound e:expr)
[ e e- τ]
---------------------------------------------------------------------------
[ (syndicate:inbound e-) ( : (Inbound τ))])
(define-typed-syntax (outbound e:expr)
[ e e- τ]
---------------------------------------------------------------------------
[ (syndicate:outbound e-) ( : (Outbound τ))])
(define-typed-syntax (patch-added e)
[ e e- (~Patch τ _)]
--------------------------
[ (syndicate:patch-added e-) (AssertionSet τ)])
(define-typed-syntax (patch-removed e)
[ e e- (~Patch _ τ)]
--------------------------
[ (syndicate:patch-removed e-) (AssertionSet τ)])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Patterns
(define-typed-syntax (bind x:id τ:type)
----------------------------------------
[ (error- 'bind "escaped") (Bind τ)])
(define-typed-syntax discard
[_
--------------------
;; TODO: change void to _
[ (error- 'discard "escaped") Discard]])
;; pat -> ([Id Type] ...)
(define-for-syntax (pat-bindings stx)
(syntax-parse stx
#:datum-literals (bind tuple)
[(bind x:id τ:type)
#'([x τ])]
[(tuple p ...)
#:with (([x:id τ:type] ...) ...) (stx-map pat-bindings #'(p ...))
#'([x τ] ... ...)]
[(k:kons1 p)
(pat-bindings #'p)]
[(~constructor-exp cons p ...)
#:with (([x:id τ:type] ...) ...) (stx-map pat-bindings #'(p ...))
#'([x τ] ... ...)]
[_
#'()]))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Core-ish forms
;; copied from stlc
(define-typed-syntax (ann e (~optional (~datum :)) τ:type)
[ e e- τ.norm]
--------
[ e- τ.norm])
;; copied from ext-stlc
(define-typed-syntax define
[(_ x:id (~datum :) τ:type e:expr)
;[⊢ e ≫ e- ⇐ τ.norm]
#:with x- (generate-temporary #'x)
--------
[ (begin-
(define-typed-variable-rename x x- : τ.norm)
(define- x- (ann e : τ.norm)))]]
[(_ x:id e)
;This won't work with mutually recursive definitions
[ e e- τ]
#:with y (generate-temporary #'x)
#:with y+props (transfer-props #'e- (assign-type #'y #'τ #:wrap? #f))
--------
[ (begin-
(define-syntax x (make-rename-transformer #'y+props))
(define- y e-))]]
[(_ (f [x (~optional (~datum :)) ty] ... (~or (~datum ) (~datum ->)) ty_out) e ...+)
#:with f- (add-orig (generate-temporary #'f) #'f)
--------
[ (begin-
(define-typed-variable-rename f f- : ( ty ... ty_out))
(define- f-
(lambda ([x : ty] ...)
(ann (begin e ...) : ty_out))))]])
;; copied from ext-stlc
(define-typed-syntax if
[(_ e_tst e1 e2) τ-expected
[ e_tst e_tst- _] ; Any non-false value is truthy.
[ e1 e1- τ-expected]
[ e2 e2- τ-expected]
--------
[ (if- e_tst- e1- e2-)]]
[(_ e_tst e1 e2)
[ e_tst e_tst- _] ; Any non-false value is truthy.
[ e1 e1- τ1]
[ e2 e2- τ2]
--------
[ (if- e_tst- e1- e2-) (U τ1 τ2)]])
;; copied from ext-stlc
(define-typed-syntax begin
[(_ e_unit ... e) τ_expected
[ e_unit e_unit- _] ...
[ e e- τ_expected]
--------
[ (begin- e_unit- ... e-)]]
[(_ e_unit ... e)
[ e_unit e_unit- _] ...
[ e e- τ_e]
--------
[ (begin- e_unit- ... e-) τ_e]])
;; copied from ext-stlc
(define-typed-syntax let
[(_ ([x e] ...) e_body ...) τ_expected
[ e e- : τ_x] ...
[[x x- : τ_x] ... (begin e_body ...) e_body- τ_expected]
--------
[ (let- ([x- e-] ...) e_body-)]]
[(_ ([x e] ...) e_body ...)
[ e e- : τ_x] ...
[[x x- : τ_x] ... (begin e_body ...) e_body- τ_body]
--------
[ (let- ([x- e-] ...) e_body-) τ_body]])
;; copied from ext-stlc
(define-typed-syntax let*
[(_ () e_body ...)
--------
[ (begin e_body ...)]]
[(_ ([x e] [x_rst e_rst] ...) e_body ...)
--------
[ (let ([x e]) (let* ([x_rst e_rst] ...) e_body ...))]])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Primitives
;; hmmm
(define-primop + ( Int Int Int))
(define-primop - ( Int Int Int))
(define-primop * ( Int Int Int))
#;(define-primop and ( Bool Bool Bool))
(define-primop or ( Bool Bool Bool))
(define-primop not ( Bool Bool))
(define-primop < ( Int Int Bool))
(define-primop > ( Int Int Bool))
(define-primop <= ( Int Int Bool))
(define-primop >= ( Int Int Bool))
(define-primop = ( Int Int Bool))
(define-typed-syntax (/ e1 e2)
[ e1 e1- ( : Int)]
[ e2 e2- ( : Int)]
------------------------
[ (exact-truncate- (/- e1- e2-)) ( : Int)])
;; for some reason defining `and` as a prim op doesn't work
(define-typed-syntax (and e ...)
[ e e- ( : Bool)] ...
------------------------
[ (and- e- ...) ( : Bool)])
(define-typed-syntax (equal? e1:expr e2:expr)
[ e1 e1- ( : τ1:type)]
#:fail-unless (flat-type? #'τ1.norm)
(format "equality only available on flat data; got ~a" (type->str #'τ1))
[ e2 e2- ( : τ1)]
---------------------------------------------------------------------------
[ (equal?- e1- e2-) ( : Bool)])
(define-typed-syntax (empty? e)
[ e e- (~List _)]
-----------------------
[ (empty?- e-) Bool])
(define-typed-syntax (first e)
[ e e- (~List τ)]
-----------------------
[ (first- e-) τ])
(define-typed-syntax (rest e)
[ e e- (~List τ)]
-----------------------
[ (rest- e-) (List τ)])
(define-typed-syntax (member? e l)
[ e e- τe:type]
[ l l- (~List τl:type)]
#:fail-unless (<: #'τe.norm #'τl.norm) "incompatible list"
----------------------------------------
[ (member?- e- l-) Bool])
(define- (member?- v l)
(and- (member- v l) #t))
(define-typed-syntax (displayln e:expr)
[ e e- τ]
---------------
[ (displayln- e-) ( : (U))])
(define-typed-syntax (assert e)
--------------------------------------------------------
[ (patch (make-assertion-set e) (make-assertion-set))])
(define-typed-syntax (retract e)
--------------------------------------------------------
[ (patch (make-assertion-set) (make-assertion-set e))])
(define-typed-syntax (sub e)
-----------------------------
[ (assert (observe e))])
(define-typed-syntax (unsub e)
-----------------------------
[ (retract (observe e))])
(define-typed-syntax (patch-seq* e)
[ e e- (~List τ)]
#:with (~or* (~Patch τa τr)
(~and (~U* (~Patch τai τri) ...)
(~parse (τa τr) #'((U τai ...) (U τri ...)))))
#'τ
-------------------------------------
[ (syndicate:patch-seq* e-) (Patch τa τr)])
(define-typed-syntax (patch-seq e ...)
-----------------------------
[ (patch-seq* (list e ...))])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Basic Values
(define-typed-syntax #%datum
[(_ . n:integer)
----------------
[ (#%datum- . n) ( : Int)]]
[(_ . b:boolean)
----------------
[ (#%datum- . b) ( : Bool)]]
[(_ . s:string)
----------------
[ (#%datum- . s) ( : String)]])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Sets
(define-typed-syntax (set e ...)
[ e e- τ] ...
---------------
[ (set- e- ...) (Set (U τ ...))])
(define-typed-syntax (set-count e)
[ e e- (~Set _)]
----------------------
[ (set-count- e-) Int])
(define-typed-syntax (set-add st v)
[ st st- (~Set τs)]
[ v v- τv]
-------------------------
[ (set-add- st- v-) (Set (U τs τv))])
(define-typed-syntax (set-member? st v)
[ st st- (~Set τs:type)]
[ v v- τv:type]
#:fail-unless (<: #'τv.norm #'τs.norm)
"type mismatch"
-------------------------------------
[ (set-member?- st- v-) Bool])
(define-typed-syntax (set-union st0 st ...)
[ st0 st0- (~Set τ-st0)]
[ st st- (~Set τ-st)] ...
-------------------------------------
[ (set-union- st0- st- ...) (Set (U τ-st0 τ-st ...))])
(define-typed-syntax (set-intersect st0 st ...)
[ st0 st0- (~Set τ-st0)]
[ st st- (~Set τ-st)] ...
#:with τr ( #'τ-st0 (type-eval #'(U τ-st ...)))
-------------------------------------
[ (set-intersect- st0- st- ...) (Set τr)])
(define-typed-syntax (set-subtract st0 st ...)
[ st0 st0- (~Set τ-st0)]
[ st st- (~Set _)] ...
-------------------------------------
[ (set-subtract- st0- st- ...) (Set τ-st0)])
(define-typed-syntax (list->set l)
[ l l- (~List τ)]
-----------------------
[ (list->set- l-) (Set τ)])
(define-typed-syntax (set->list s)
[ s s- (~Set τ)]
-----------------------
[ (set->list- s-) (List τ)])
(module+ test
(check-type (set 1 2 3)
: (Set Int)
-> (set- 2 3 1))
(check-type (set 1 "hello" 3)
: (Set (U Int String))
-> (set- "hello" 3 1))
(check-type (set-count (set 1 "hello" 3))
: Int
-> 3)
(check-type (set-union (set 1 2 3) (set "hello" "world"))
: (Set (U Int String))
-> (set- 1 2 3 "hello" "world"))
(check-type (set-intersect (set 1 2 3) (set "hello" "world"))
: (Set )
-> (set-))
(check-type (set-intersect (set 1 "hello" 3) (set #t "world" #f "hello"))
: (Set String)
-> (set- "hello")))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Utilities
(define-typed-syntax (print-type e)
[ e e- τ:type]
#:do [(displayln (type->str #'τ.norm))]
----------------------------------
[ e- τ])
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Extensions
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Tests
;; project
(module+ test
(check-type (project [(tuple) (make-assertion-set (tuple 1 2))]
(tuple))
: (List (Tuple))
-> (list-))
(check-type (project [(tuple) (make-assertion-set (tuple))]
(tuple))
: (List (Tuple))
-> (list- (tuple)))
(check-type (project [(tuple (bind x Int) 2) (make-assertion-set (tuple 1 2))]
x)
: (List Int)
-> (list- 1))
(check-type (project [(tuple (bind x Int) 2) (make-assertion-set (tuple 1 2) "hello")]
x)
: (List Int)
-> (list- 1))
(check-type (project [(tuple (bind x (U Int (Tuple Int Int))) 2)
(make-assertion-set (tuple 1 2)
"hello"
(tuple (tuple 4 5) 2))]
x)
: (List (U Int (Tuple Int Int)))
-> (list- (tuple 4 5) 1))
;; nested project to test for ambiguous binding error
(check-type (project [(tuple (bind x Int) 2) (make-assertion-set (tuple 1 2))]
(project [(tuple discard x) (make-assertion-set (tuple "bizboz" 1))]
x))
: (List (List Int))
-> (list- (list- 1))))
;; fold
(module+ test
(check-type (for/fold (sum 0)
(x (list 1 2 3))
(typed-app + x sum))
: Int
-> 6))
;; functions
(module+ test
(check-type (lambda ([x Int]) x) : ( Int Int))
(check-type (typed-app (lambda ([x : Int]) x) 5)
: Int
-> 5))
;; patches
(module+ test
(check-type (patch-added (patch (make-assertion-set 12) (make-assertion-set)))
: (AssertionSet Int)
-> (make-assertion-set 12))
(check-type (patch-removed (patch (make-assertion-set 12) (make-assertion-set)))
: (AssertionSet (U))
-> (make-assertion-set))
;; patch utilities
(check-type (patch-seq* (list (assert 1) (assert 2)))
: (Patch Int )
-> (patch (make-assertion-set 1 2) (make-assertion-set)))
(check-type (patch-seq* (list (assert 1) (retract (tuple "humpty" 42)) (assert "hello")))
: (Patch (U Int String) (Tuple String Int))
-> (patch (make-assertion-set 1 "hello") (make-assertion-set (tuple "humpty" 42)))))
;; tuples
(module+ test
(typecheck-fail (select 0 (tuple)))
(check-type (select 0 (tuple 18))
: Int
-> 18))
;; not reproducing an issue with using ⊥
(module+ test
(check-type (lambda ([e : (Event )]
[s : ★/t])
idle)
: ( (Event ) ★/t (Instruction ))))
;; transition
(module+ test
(check-type (transition #f (list))
: (Instruction Bool )
-> (syndicate:transition #f (list-)))
(check-type (quit) : (Instruction ))
(check-type (quit (list)) : (Instruction )))