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module-begin, define, and letrec working

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- module-level forms and letrec body currently not typechecked
This commit is contained in:
Stephen Chang 2014-08-06 17:29:49 -04:00
parent a906d121f9
commit 1e05e62963
2 changed files with 195 additions and 20 deletions
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29
stlc-tests.rkt
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@ -50,4 +50,31 @@
(check-type-error (λ ([x : Int]) 1 1))
(check-type (λ ([x : Int] [y : Int]) (+ x y)) : (→ Int Int Int))
(check-type-and-result ((λ ([a : Int] [b : Int] [c : Int]) (void) (void) (+ a b c)) 1 2 3)
: Int => 6)
: Int => 6)
;; define
(define (g [y : Int]) (+ (f y) 1))
(define (f [x : Int]) (+ x 1))
(check-type-and-result (f 10) : Int => 11)
(check-type-and-result (g 100) : Int => 102)
(check-not-type (f 10) : String)
(check-not-type (g 100) : String)
;; if
(check-type-and-result (if (null? {Int} (null {Int})) 1 2) : Int => 1)
(check-type-and-result (if (null? {Int} (cons {Int} 1 (null {Int}))) 1 2) : Int => 2)
(check-type-error (if (null? {Int} (null {Int})) 1 "one"))
(check-type-error (if (null? {Int} (null {Int})) "one" 1))
(check-type-error (if 1 2 3))
;;; recursive fn
(define (add1 [x : Int]) (+ x 1))
(define (map [f : (→ Int Int)] [lst : (Listof Int)])
(if (null? {Int} lst)
(null {Int})
(cons {Int} (f (first {Int} lst)) (map f (rest {Int} lst)))))
(check-type-and-result (map add1 (cons {Int} 1 (cons {Int} 2 (null {Int}))))
: (Listof Int)
=> (cons {Int} 2 (cons {Int} 3 (null {Int}))))
(check-not-type (map add1 (cons {Int} 1 (cons {Int} 2 (null {Int}))))
: (Listof String))

186
stlc.rkt
View File

@ -1,20 +1,30 @@
#lang racket
#lang racket/base
(require
(for-syntax syntax/parse syntax/id-table syntax/stx racket/list
(for-syntax racket/base syntax/parse syntax/parse/experimental/template
racket/set syntax/id-table syntax/stx racket/list racket/syntax
"stx-utils.rkt")
(for-meta 2 racket/base syntax/parse))
(provide
(except-out
(all-from-out racket)
λ #%app + #%datum let cons null null? first rest begin void))
(all-from-out racket/base)
λ #%app + #%datum let letrec cons null null? begin void
#%module-begin if
;#%top define
))
(provide
(provide
(rename-out
[λ/tc λ] [app/tc #%app] [let/tc let] [begin/tc begin] [void/tc void]
[+/tc +] [datum/tc #%datum]
[λ/tc λ] [app/tc #%app] [let/tc let] [letrec/tc letrec]
[begin/tc begin] [void/tc void]
[if/tc if] [+/tc +]
;[top/tc #%top] [define/tc define]
[datum/tc #%datum] [module-begin/tc #%module-begin]
[cons/tc cons] [null/tc null] [null?/tc null?] [first/tc first] [rest/tc rest]))
;; just need the identifier bound
;; TODO:
;; - type of top level (or module level) vars not checked
;; for types, just need the identifier bound
(define-syntax-rule (define-type τ) (begin (define τ #f) (provide τ)))
(define-syntax-rule (define-types τ ...) (begin (define-type τ) ...))
(define-types Int String Bool → Listof Unit)
@ -28,11 +38,29 @@
;; so x's in the body won't be free-id=? to the one in the table
;; use symbols instead of identifiers for now --- should be fine because
;; I'm manually managing the environment
(define Γ (make-parameter base-type-env)))
(define Γ (make-parameter base-type-env))
;; generated type vars
(define fvs (make-parameter (set)))
(define fvs-subst (make-parameter (hash)))
(define (fvs-subst-set x τ)
(hash-set (fvs-subst) (syntax->datum x) τ))
(define (do-subst/τ τ)
(syntax-parse τ
[x:id
#:when (set-member? (fvs) (syntax->datum #'x))
(hash-ref (fvs-subst) (syntax->datum #'x) #'???)]
[τ:id #'τ]
[(tycon τ ...)
#:with (τ-subst ...) (stx-map do-subst/τ #'(τ ...))
#'(tycon τ-subst ...)]))
(define (do-subst h)
(for/hash ([(x τ) (in-hash h)])
(values x (do-subst/τ τ)))))
;; testing fns ----------------------------------------------------------------
(require (for-syntax rackunit))
(provide check-type-error check-type check-type-and-result)
(provide check-type-error check-type check-type-and-result check-not-type)
(define-syntax (check-type-error stx)
(syntax-parse stx
[(_ e)
@ -42,10 +70,17 @@
(syntax-parse stx #:datum-literals (:)
[(_ e : τ)
#:with e+ (local-expand #'e 'expression null)
#:when (let ([τ_e (syntax->datum (typeof #'e+))]
[τ (syntax->datum #'τ)])
(check-equal? τ_e τ (format "Expected type ~a but got type ~a" τ τ_e)))
#:when (check-true (assert-type #'e+ #'τ)
(format "Expected type ~a but got type ~a" #'τ (typeof #'e)))
#'(void)]))
(define-syntax (check-not-type stx)
(syntax-parse stx #:datum-literals (:)
[(_ e : τ)
#:with e+ (local-expand #'e 'expression null)
#:when (check-false (type=? (typeof #'e+) #'τ)
(format "Expected type to not be ~a but got type ~a" #'τ (typeof #'e)))
#'(void)]))
(define-syntax (check-type-and-result stx)
(syntax-parse stx #:datum-literals (: =>)
[(_ e : τ => v)
@ -56,7 +91,24 @@
(define-syntax-rule (my-check-equal? x y) (check-equal? x y))
(define-for-syntax (type=? τ1 τ2)
; (printf "type= ~a ~a\n" (syntax->datum τ1) (syntax->datum τ2))
(syntax-parse #`(#,τ1 #,τ2) #:literals (→)
[(x:id τ)
#:when (and (set-member? (fvs) (syntax->datum #'x))
(hash-has-key? (fvs-subst) (syntax->datum #'x)))
(type=? (hash-ref (fvs-subst) (syntax->datum #'x)) #'τ)]
[(x:id τ)
#:when (set-member? (fvs) (syntax->datum #'x))
#:when (fvs-subst (fvs-subst-set #'x #'τ))
#t]
[(τ x:id)
#:when (and (set-member? (fvs) (syntax->datum #'x))
(hash-has-key? (fvs-subst) (syntax->datum #'x)))
(type=? (hash-ref (fvs-subst) (syntax->datum #'x)) #'τ)]
[(τ x:id)
#:when (set-member? (fvs) (syntax->datum #'x))
#:when (fvs-subst (fvs-subst-set #'x #'τ))
#t]
[(x:id y:id) (free-identifier=? τ1 τ2)]
[((tycon1 τ1 ...) (tycon2 τ2 ...))
(and (free-identifier=? #'tycon1 #'tycon2)
@ -67,7 +119,7 @@
(begin-for-syntax
(define (assert-type e τ)
(or (type=? (typeof e) τ)
(error 'TYPE-ERROR "~a (~a:~a) has type ~a, but should have type ~a"
(error 'TYPE-ERROR "~a (~a:~a) has type ~a, but should have type ~a"
(syntax->datum e)
(syntax-line e) (syntax-column e)
(syntax->datum (typeof e))
@ -100,6 +152,11 @@
(if (identifier? e)
(⊢ e (type-env-lookup e)) ; handle this here bc there's no #%var form
(local-expand e 'expression null)))
(define-for-syntax (expand/df/module-ctx def)
(local-expand def 'module null))
(define-for-syntax (expand/df/mb-ctx def)
(local-expand def 'module-begin null))
;; typed forms ----------------------------------------------------------------
(define-syntax (datum/tc stx)
@ -130,7 +187,6 @@
#:when (stx-andmap assert-Int-type #'(e+ ...))
(⊢ (syntax/loc stx (+ e+ ...)) #'Int)]))
(define-syntax (λ/tc stx)
(syntax-parse stx #:datum-literals (:)
[(_ ([x:id : τ] ...) e ... e_result)
@ -140,7 +196,9 @@
#:with (lam xs e+ ... e_result+) (with-extended-type-env #'([x τ] ...)
(expand/df #'(λ (x ...) e ... e_result)))
;; manually handle the implicit begin
#:when (stx-map assert-Unit-type #'(e+ ...))
#:when (stx-map assert-Unit-type #'(e+ ...); [(_ x:id e)
; #:with e))
)
#:with τ_body (typeof #'e_result+)
(⊢ (syntax/loc stx (lam xs e+ ... e_result+)) #'(→ τ ... τ_body))]))
@ -152,16 +210,48 @@
#:with (lam (x+ ...) e+ ... e_result+)
(with-extended-type-env #'([x τ] ...)
(expand/df #'(λ (x ...) e ... e_result)))
#:when (stx-andmap assert-Unit-type #'(e+ ...))
(⊢ (syntax/loc stx (let ([x+ e_x+] ...) e+ ... e_result+)) (typeof #'e_result+))]))
(define-syntax (letrec/tc stx)
(syntax-parse stx #:datum-literals (:)
[(_ ([f:id : τ_f e_f] ...) body ... body_result)
; #:when (printf "letrec: ~a\n" (expand/df #'(letrec ([f e_f] ...) body ... body_result)))
#:with (lrec ([(f+) e_f+] ...) body+ ... body_result+)
(expand/df #'(letrec ([f e_f] ...) body ... body_result))
; #:with (lam (f+ ...) e_f+ ...)
; (expand/df #'(λ (f ...) e_f ...))
; #:with (lam2 fs body+ ... body_result+)
; (expand/df #'(λ (f ...) body ... body_result)) ; type env already extended by mod-beg
; #:with τ_result (typeof #'body_result+)
(syntax/loc stx (letrec ([f+ e_f+] ...) body+ ... body_result+))]))
; #%app
(define-syntax (app/tc stx)
(syntax-parse stx #:literals (→)
(syntax-parse stx #:literals (→ void)
#:datum-literals (:t)
[(_ :t x) #'(printf "~a : ~a\n" 'x (hash-ref runtime-env 'x))]
[(_ void) #'(printf "ddd")]
; [(_ check-type e ...) #'(check-type e ...)]
; [(_ check-type-and-result e ...) #'(check-type e ...)]
; [(_ check-type e ...) #'(check-type e ...)]
; [(_ check-type e ...) #'(check-type e ...)]
[(_ e_fn e_arg ...)
#:with (e_fn+ e_arg+ ...) (stx-map expand/df #'(e_fn e_arg ...))
#:with (→ τ ... τ_res) (typeof #'e_fn+)
#:when (stx-andmap assert-type #'(e_arg+ ...) #'(τ ...))
(⊢ (syntax/loc stx (#%app e_fn+ e_arg+ ...)) #'τ_res)]))
(define-syntax (if/tc stx)
(syntax-parse stx
[(_ e_test e1 e2)
#:with e_test+ (expand/df #'e_test)
#:when (assert-type #'e_test+ #'Bool)
#:with e1+ (expand/df #'e1)
#:with e2+ (expand/df #'e2)
#:when (type=? (typeof #'e1+) (typeof #'e2+))
(⊢ (syntax/loc stx (if e_test+ e1+ e2+)) (typeof #'e1+))]))
;; lists ----------------------------------------------------------------------
(define-syntax (cons/tc stx)
(syntax-parse stx
@ -185,12 +275,70 @@
[(_ {T} e)
#:with e+ (expand/df #'e)
#:when (assert-type #'e+ #'(Listof T))
(⊢ (syntax/loc stx (first e+)) #'T)]))
(⊢ (syntax/loc stx (car e+)) #'T)]))
(define-syntax (rest/tc stx)
(syntax-parse stx
[(_ {T} e)
#:with e+ (expand/df #'e)
#:when (assert-type #'e+ #'(Listof T))
(⊢ (syntax/loc stx (rest e+)) #'(Listof T))]))
(⊢ (syntax/loc stx (cdr e+)) #'(Listof T))]))
;; define, module-begin -------------------------------------------------------
#;(define-syntax (define/tc stx)
(syntax-parse stx #:datum-literals (:)
[(_ (f:id [x:id : τ] ...) e ... e_result)
#:with (g ...) (map (λ (fn) (datum->syntax (car (syntax->list #'(x ...))) fn)) (hash-keys (Γ)))
#:with (lam1 (g+ ...) (#%exp (lam2 (x+ ...) e+ ... e_result+)))
(with-extended-type-env #'([x τ] ...)
(expand/df #'(λ (g ...) (λ (x ...) e ... e_result))))
#:when (stx-andmap assert-Unit-type #'(e+ ...))
#:with τ_result (typeof #'e_result+)
#:when (Γ (type-env-extend #'([f (→ τ ... τ_result)])))
(⊢ (syntax/loc stx (define (f x+ ...) e+ ... e_result+)) #'Unit)]
; [(_ x:id e)
; #:with e
))
#;(define-syntax (top/tc stx)
(syntax-parse stx
[(_ . x:id)
#:when (printf "top: ~a\n" #'x)
#:with x+ (expand/df #'x)
#:when (printf "expanded top: ~a\n" #'x+)
(syntax/loc stx (#%top . x+))]))
(begin-for-syntax
(define-syntax-class maybe-def #:datum-literals (: define)
(pattern (define (f:id [x:id : τx] ...) body ...)
#:with τ_result (generate-temporary #'f)
#:when (fvs (set-add (fvs) (syntax->datum #'τ_result)))
#:attr name #'(f)
#:attr val #'((λ/tc ([x : τx] ...) body ...))
#:attr τ #'((→ τx ... τ_result))
#:attr e #'())
; (pattern (define x:id exp:expr)
; #:attr name #'(x)
; #:attr val #'(exp)
; #:attr τ ???
(pattern exp:expr
#:attr name #'() #:attr τ #'() #:attr val #'()
#:attr e #'(exp))))
(define-syntax (module-begin/tc stx)
(syntax-parse stx
[(_ mb-form:maybe-def ...)
#:with (f ...) (template ((?@ . mb-form.name) ...))
#:with (v ...) (template ((?@ . mb-form.val) ...))
#:with (τ ...) (template ((?@ . mb-form.τ) ...))
#:with (e ...) (template ((?@ . mb-form.e) ...))
#:when (Γ (type-env-extend #'([f τ] ...)))
#:when (printf "fvs :~a\n" (fvs))
; #:when (printf "mb: ~a\n" (syntax->datum (expand/df #'(letrec ([f v] ...) e ...))))
(quasisyntax/loc stx
(#%module-begin
#,(expand/df #'(letrec/tc ([f : τ v] ...) e ...))
(define #,(datum->syntax stx 'runtime-env)
(for/hash ([x:τ '#,(map (λ (xτ) (cons (car xτ) (syntax->datum (cdr xτ))))
(hash->list (do-subst (Γ))))])
(values (car x:τ) (cdr x:τ))))
))]))