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- #lang racket/base
- (provide
- value?
- basic-value?
- primitive-procedure? gen:primitive-procedure
- simple-primitive-proc define-primitive-procs
- prim:+ prim:- prim:* prim:/
- stack-frame?
- evaluate1
- evaluate*
- apply-procedure
- binding? make-bindings binding-name binding-def
- current-store store-ref store-init! store-set!
- structure? make-structure structure-add-bindings!
- instantiate-binding!
- instantiate-structure!)
- (require
- racket/generic
- racket/match
- (only-in racket/string string-join)
- (only-in racket/format ~a ~s)
- (only-in racket/promise delay force)
- syntax/parse/define
- (for-syntax racket/base racket/syntax))
- ;; VALUES
- ;; v = bv | prim
- ;; bv = integer | string
- ;; prim = {primitive-procedure}
- (define (basic-value? x)
- (or (exact-integer? x)
- (string? x)))
- (define (value? x)
- (or (basic-value? x)
- (primitive-procedure? x)))
- (define-generics primitive-procedure
- ;; prim [listof v] -> v
- (primitive-apply primitive-procedure args))
- ;; symbol [v ... -> v] -> prim
- (struct simple-primitive-proc [name func]
- #:methods gen:primitive-procedure
- [(define (primitive-apply sp args)
- (apply (simple-primitive-proc-func sp) args))]
- #:methods gen:custom-write
- [(define (write-proc sp port _mode)
- (fprintf port "{prim:~a}" (simple-primitive-proc-name sp)))])
- ;; (define-primitive-procs id ...)
- ;; For each "id", defines "prim:id" to be a primitive-proc that calls function "id".
- (define-simple-macro (define-primitive-procs f ...)
- #:with [f* ...] (map (λ (x) (format-id x "prim:~a" x)) (attribute f))
- (begin (define f* (simple-primitive-proc 'f f))
- ...))
- (define-primitive-procs
- + - * /)
- ;; ================================================
- ;; EXPRESSIONS
- ;; e = bv literal value
- ;; | prim primitive func
- ;; | `(top B sym) toplevel binding
- ;; | `($ e e ...) application
- ;; STACK FRAMES
- ;; s = (sf ...)
- ;; sf = ($ v ... □ e ...)
- (define (stack-frame? x)
- (sf:apply? x))
- (struct sf:apply [left right]
- #:methods gen:custom-write
- [(define (write-proc sf port _unused)
- (match-define (sf:apply vs es) sf)
- (fprintf port "~s" `($ ,@(reverse vs) □ ,@es)))])
- ; stop/continue = (continue s e)
- ; | (stop v)
- (struct continue [stack redex])
- (struct stop [value])
- ;; Evaluate expression until it reaches a value.
- ;; e -> v
- (define (evaluate* e)
- (let loop ([s '[]] [e e])
- (match (evaluate1 s e)
- [(stop v) v]
- [(continue s* e*) (loop s* e*)])))
- ;; Take a single step in evaluating expression 'e' with stack 's'.
- ;; s e -> stop/continue
- (define (evaluate1 s e)
- (match e
- [(? value?)
- (pop s e)]
- ;; {Σ;s | (top B)} ⇒ {Σ;s | Σ[B]}
- [`(top ,B ,name)
- (pop s
- (store-ref B
- #:default
- (λ () (error (~a "undefined: " name)))))]
- ; {s | ($ e1 e2 ...)} ⇒ {s ($ □ e2 ...) | e1}
- [`($ ,e1 ,e2s ...)
- (continue (cons (sf:apply '() e2s) s)
- e1)]))
- ;; Advance the top of stack 's' by applying the value 'v0'.
- ;; s v -> stop/continue
- (define (pop s v0)
- (match s
- ['()
- (stop v0)]
- [(cons (sf:apply vs es) s*)
- (match es
- ; {($ f v ... □) | v0} ⇒ apply f(v ... v0)
- ['()
- (match-define (cons f args)
- (reverse (cons v0 vs)))
- (apply-procedure s* f args)]
- ; {($ v1 ... □ e1 e2 ...) | v0} ⇒ {($ v1 ... v0 □ e2 ...) | e1}
- [(cons e1 e2s)
- (continue (cons (sf:apply (cons v0 vs) e2s) s*)
- e1)])]))
- ;; Apply arguments 'vs' to procedure value 'fun'.
- ;; RAISES: exn:fail - if 'fun' cannot be applied
- ;; s v [listof v] -> stop/continue
- (define (apply-procedure s fun vs)
- (match fun
- [(? primitive-procedure? prim)
- (continue s
- (primitive-apply prim vs))]
- [_ (error "not an applicable value: ~s" fun)]))
- (module+ test
- (require rackunit)
- (check-equal? (evaluate* `($ ,prim:+ 1 ($ ,prim:* ($ ,prim:- 4 1) 5)))
- (+ 1 (* (- 4 1) 5))))
- ;; ================================================
- ;; BINDINGS, STORES
- ;; Σ = ([B v] ...)
- ;; B = (x def)
- ;; def = `(val e)
- ;; [hasheq B => v]
- (define current-store
- (make-parameter (hasheq)))
- ;; (binding symbol [lazy def])
- (struct binding [name def/lz]
- #:methods gen:custom-write
- [(define (write-proc B port _)
- (cond [(print-hide-binding-rhs)
- (fprintf port
- "{binding:~a}"
- (binding-name B))]
- [else
- (parameterize ([print-hide-binding-rhs #t])
- (fprintf port
- "{binding:~a=~s}"
- (binding-name B)
- (binding-def B)))]))])
- (define print-hide-binding-rhs
- (make-parameter #f))
- ;; binding -> def
- (define (binding-def b)
- (force (binding-def/lz b)))
- ;; Create bindings for each given symbol. Uses the given function to create the 'def' parts
- ;; of each binding. The function should return a def corresponding to each binding. The bindings
- ;; given to to the function are also returned.
- ;; [listof symbol] [[listof B] -> [listof def]] -> [listof B]
- (define (make-bindings names mk-defs)
- (define bindings
- (for/list ([x (in-list names)]
- [i (in-naturals)])
- (binding x
- (delay (vector-ref defs i)))))
- (define defs
- (list->vector
- (mk-defs bindings)))
- bindings)
- ;; Generate possibly-recursive bindings (as in the struct) and bind them to given names (as in
- ;; racket variablebindings).
- ;;
- ;; (with-bindings ([id maybe-name def-expr] ...)
- ;; body ...)
- ;;
- ;; maybe-name =
- ;; | name-expr
- ;;
- (define-simple-macro (with-bindings ([B:id {~optional {~seq name:expr} #:defaults ([name #''B])}
- def:expr]
- ...)
- body ...+)
- (match-let ([(list B ...)
- (make-bindings (list name ...)
- (match-lambda
- [(list B ...)
- (list def ...)]))])
- body ...))
- ;; B -> value
- ;; B [-> X] -> (or value X)
- (define (store-ref B #:default [dft (λ ()
- (error (~a "undefined: "
- (binding-name B))))])
- (hash-ref (current-store)
- B
- (λ () (dft))))
- ;; B v -> void
- (define (store-init! B v)
- (hash-set! (current-store) B v))
- ;; B v -> void
- (define (store-set! B v
- #:ok [ok void]
- #:error [err (λ ()
- (error (~a "undefined: "
- (binding-name B))))])
- (cond
- [(hash-has-key? (current-store) B)
- (hash-ref (current-store) B)
- (ok)]
- [else
- (err)]))
- (module+ test
- (match-define (list B-x B-y)
- (make-bindings '[x y]
- (match-lambda
- [(list b1 b2)
- (list `(val 3)
- `(val (,prim:+ (top ,b1 x) 1)))])))
- (check-equal? (binding-name B-x) 'x)
- (check-equal? (binding-name B-y) 'y)
- (check-equal? (binding-def B-x) '(val 3))
- (check-match (binding-def B-y)
- `(val (,pls (top ,b x) 1))
- (and (eq? pls prim:+)
- (eq? b B-x))))
- ;; ================================================
- ;; STRUCTURES
- ;; S = (B ...)
- ;; (structure [listof binding])
- (struct structure
- [bindings] #:mutable)
- ;; Create a new empty structure.
- ;; -> S
- (define (make-structure)
- (structure '[]))
- ;; Add the list of bindings to the structure.
- ;; S [listof B] -> void
- (define (structure-add-bindings! S Bs)
- (set-structure-bindings! S (append (reverse Bs)
- (structure-bindings S))))
- ;; S B ... -> void
- (define (structure-add-bindings*! S . Bs)
- (structure-add-bindings! S Bs))
- ;; Evaluate a binding, adding its value to the store.
- ;; B -> void
- (define (instantiate-binding! B)
- (define v
- (match (binding-def B)
- [`(val ,e)
- (evaluate* e)]))
- (store-init! B v))
- ;; S -> void
- (define (instantiate-structure! S)
- (for-each instantiate-binding!
- (reverse (structure-bindings S))))
- (module+ test
- (define-simple-macro (with-structure S:id ([x:id . stuff] ...) body ...+)
- (let ([S (make-structure)])
- (with-bindings ([x . stuff] ...)
- (structure-add-bindings*! S x ...)
- body ...)))
- (define-simple-macro (with-empty-store Σ:id body ...+)
- (let ([Σ (make-hasheq)])
- (parameterize ([current-store Σ])
- body ...)))
- (with-structure S ([x `(val 3)]
- [y `(val ($ ,prim:+ 2 3))]
- [z `(val ($ ,prim:* (top ,x x) (top ,y y)))])
- (with-empty-store Σ
- (instantiate-structure! S)
- (check-equal? (store-ref x) 3)
- (check-equal? (store-ref y) 5)
- (check-equal? (store-ref z) 15)
- (check-true (hash-has-key? Σ x))
- (check-true (hash-has-key? Σ y))
- (check-true (hash-has-key? Σ z)))))
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