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datatypes.rkt
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datatypes.rkt
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#lang plait
(require "io.rkt")
(require "error.rkt")
(require "utilities.rkt")
(require (typed-in "show.rkt" [string-of-o : (Obs -> String)]))
(require (typed-in racket
[random : (Number -> Number)]
[list->vector : ((Listof 'a) -> (Vectorof 'a))]
[vector->list : ((Vectorof 'a) -> (Listof 'a))]
[vector-map : (('a -> 'b) (Vectorof 'a) -> (Vectorof 'b))]
[remove-duplicates : ((Listof 'a) -> (Listof 'a))]))
(define-type Block
(block [def* : (Listof (Id * Term))]
[exp* : (Listof Term)]
[out : Term]))
(define-type-alias CompiledProgram ((Listof (Id * Term)) * (Listof Term)))
(define-type Term
(t-quote [v : Val])
(t-var [x : Id])
(t-fun [name : (Optionof Symbol)]
[arg* : (Listof Id)]
[body : Block])
(t-app [fun : Term] [arg* : (Listof Term)])
(t-let [bind* : (Listof (Id * Term))] [body : Block])
(t-letrec [bind* : (Listof (Id * Term))] [body : Block])
(t-set! [var : Id] [val : Term])
(t-seq [is-block : Boolean] [prelude* : (Listof Term)] [result : Term])
(t-if [cnd : Term] [thn : Term] [els : Term])
(t-cond [cnd-thn* : (Listof (Term * Term))] [els : (Optionof Term)]))
(define (t-block prelude* result)
(t-seq #t prelude* result))
(define (t-begin prelude* result)
(t-seq #f prelude* result))
(define (t-or t1 t2)
(t-if t1
(t-quote (v-bool #t))
t2))
(define (t-and t1 t2)
(t-if t1
t2
(t-quote (v-bool #f))))
(define-type-alias (Result 'a) 'a)
(define-type Heap
(heap-heap [it : (Hashof HeapAddress (Number * HeapValue))]))
(define (empty-heap) : Heap
(heap-heap (hash (list))))
(define the-heap-size 1000)
(define (find-heap-addr the-heap [base : Number]) : Number
(let ([propose (+ base (random the-heap-size))])
(type-case (Optionof (Number * HeapValue)) (hash-ref the-heap (ha-user propose))
[(none) propose]
[(some hv) (find-heap-addr the-heap base)])))
(define (base-addr [hv : HeapValue])
(type-case HeapValue hv
[(h-env env map) the-heap-size]
[else 0]))
(define (allocate! [a-heap : Heap] [hv : HeapValue]) : (Heap * HeapAddress)
(let* ([a-heap (heap-heap-it a-heap)]
[addr (ha-user (find-heap-addr a-heap (base-addr hv)))]
[a-heap (hash-set a-heap addr (pair (length (hash-keys a-heap)) hv))])
(values (heap-heap a-heap) addr)))
(define (heap-ref a-heap a-heap-address) : HeapValue
(type-case (Optionof (Number * HeapValue)) (hash-ref (heap-heap-it a-heap) a-heap-address)
[(none)
(raise (exn-internal 'heap-ref (format "Invalid address ~a" a-heap-address)))]
[(some hv)
(snd hv)]))
(define (heap-set [h : Heap] [ha : HeapAddress] [hv : HeapValue]) : Heap
(let* ([h (heap-heap-it h)]
[timestamp
(type-case (Optionof (Number * HeapValue)) (hash-ref h ha)
[(none) (length (hash-keys h))]
[(some v) (fst v)])])
(heap-heap (hash-set h ha (pair timestamp hv)))))
(define-type HeapAddress
(ha-prim [it : PrimitiveHeapAddress])
(ha-user [it : Number]))
(define-type PrimitiveHeapAddress
(pa-empty)
(pa-map)
(pa-filter)
(pa-memberp)
(pa-foldl)
(pa-foldr)
(pa-andmap)
(pa-ormap)
(pa-base-env))
(define-type HeapValue
(h-vec [it : (Vectorof Val)])
(h-cons [it : (Val * Val)])
(h-fun [env : Env] [name : (Optionof Symbol)] [arg* : (Listof Id)] [body : Block])
(h-env [parent : Env] [map : (Listof (Id * (Optionof Val)))]))
(define-type Val
(v-addr [it : HeapAddress])
(v-prim [name : PrimitiveOp])
(v-str [it : String])
(v-num [it : Number])
(v-char [it : Char])
(v-bool [it : Boolean])
(v-empty)
(v-void))
(define (v-fun [the-heap : Heap] [env : Env] name arg* body)
(let-values (((the-heap addr) (allocate! the-heap (h-fun env name arg* body))))
(values the-heap (v-addr addr))))
(define (v-vec [the-heap : Heap] it)
(let-values (((the-heap addr) (allocate! the-heap (h-vec it))))
(values the-heap (v-addr addr))))
(define (v-cons [the-heap : Heap] it)
(let-values (((the-heap addr) (allocate! the-heap (h-cons it))))
(values the-heap (v-addr addr))))
(define (v-list [the-heap : Heap] it)
(if (empty? it)
(values the-heap (v-empty))
(let-values (((the-heap v) (v-list the-heap (rest it))))
(let-values (((the-heap addr) (allocate! the-heap (h-cons (pair (first it) v)))))
(values the-heap (v-addr addr))))))
(define-type PrimitiveOp
(po-not)
(po-left)
(po-right)
(po-vec-len)
(po-string-length)
(po-string-append)
(po-string->list)
(po-list->string)
(po-eqp)
(po-equalp)
(po-zerop)
(po-+)
(po--)
(po-*)
(po-/)
(po-<)
(po->)
(po-<=)
(po->=)
(po-=)
(po-emptyp)
(po-pairp)
(po-mpair)
(po-set-left!)
(po-set-right!)
(po-vec-ref)
(po-consp)
(po-cons)
(po-vec-set!)
(po-mvec)
(po-first)
(po-rest)
(po-list))
(define-type-alias Env (Optionof HeapAddress))
(define (env-declare the-heap [env : Env] x*)
(env-extend/declare the-heap env (map (lambda (x) (values x (none))) x*)))
(define (env-extend the-heap [env : Env] [x&v* : (Listof (Id * Val))])
(env-extend/declare the-heap env (map2 pair (map fst x&v*) (map some (map snd x&v*)))))
(define (env-extend/declare the-heap [env : Env] [x&v* : (Listof (Id * (Optionof Val)))]): (Heap * Env)
(let ((x* (map fst x&v*)))
(if (no-duplicates x*)
(let-values (((the-heap addr) (allocate! the-heap (h-env env x&v*))))
(values the-heap (some addr)))
(raise (exn-rt "redeclare")))))
(define (envmap-keys em)
(map fst em))
(define (envmap-ref em x)
(cond
[(empty? em) (none)]
[else
(if (equal? (fst (first em)) x)
(some (snd (first em)))
(envmap-ref (rest em) x))]))
(define (envmap-set em x v)
(cond
[(empty? em) (list (pair x v))]
[else
(if (equal? (fst (first em)) x)
(cons (pair x v) (rest em))
(cons (first em) (envmap-set (rest em) x v)))]))
(define (no-duplicates x*)
(= (length x*)
(length (remove-duplicates x*))))
(define (env-set the-heap [env : Env] x v)
(type-case Env env
[(none)
(raise (exn-rt "You are using `set!` on an undefined variable!"))]
[(some addr)
(let* ((addr (some-v env)))
(type-case HeapValue (heap-ref the-heap addr)
((h-env env map)
(type-case (Optionof 'a) (envmap-ref map x)
((none)
(env-set the-heap env x v))
((some _)
(heap-set
the-heap
addr
(h-env env (envmap-set map x (some v))) ))))
(else
(raise (exn-internal 'env-set "This is impossible. The address is not an env.")))))]))
(define (env-lookup the-heap [env : Env] x)
(type-case (Optionof HeapAddress) env
((none)
(none))
((some addr)
(env-lookup-1 the-heap addr x))))
(define (env-lookup-1 the-heap addr x)
(type-case HeapValue (heap-ref the-heap addr)
((h-env env map)
(type-case
(Optionof (Optionof Val))
(envmap-ref map x)
((none) (env-lookup the-heap env x))
((some v)
(type-case
(Optionof Val)
v
((none) (raise (exn-rt (format "use-before-set ~a" x))))
((some v) (some v))))))
(else
(raise (exn-internal 'env-lookup "Not an env.")))))
(define-type ECFrame
(F-seq [is-block : Boolean] [e* : (Listof Term)] [e : Term])
(F-app [v* : (Listof Val)] [e* : (Listof Term)])
(F-let [xv* : (Listof (Id * Val))] [x : Id] [xe* : (Listof (Id * Term))] [body : Block])
(F-if [thn : Term] [els : Term])
(F-set! [var : Id])
(P-def [x : Id] [d* : (Listof (Id * Term))] [e* : (Listof Term)])
(P-exp [v* : (Listof Val)] [e* : (Listof Term)]))
(define-type-alias ECtx (Listof ECFrame))
(define-type CtxAnn
(ca-app [v : Val] [v* : (Listof Val)])
(ca-let)
(ca-letrec))
(define-type-alias Ctx (Env * ECtx * CtxAnn))
(define-type-alias Stack (Listof Ctx))
(define (uninteresting-variable? x)
(member x builtins))
(define-values (base-heap base-env builtins)
(let* ((the-heap (empty-heap))
[x&v* (ind-List
(list
(values 'string->list (po-string->list))
(values 'first (po-first))
(values 'rest (po-rest))
(values 'not (po-not))
(values 'left (po-left))
(values 'string-length (po-string-length))
(values 'string-append (po-string-append))
(values 'string->list (po-string->list))
(values 'list->string (po-list->string))
(values 'right (po-right))
(values 'vec-len (po-vec-len))
(values 'equal? (po-equalp))
(values 'eq? (po-eqp))
(values 'zero? (po-zerop))
(values '+ (po-+))
(values '- (po--))
(values '* (po-*))
(values '/ (po-/))
(values '< (po-<))
(values '> (po->))
(values '<= (po-<=))
(values '>= (po->=))
(values '= (po-=))
(values 'empty? (po-emptyp))
(values 'pair? (po-pairp))
(values 'pair (po-mpair))
(values 'mpair (po-mpair))
(values 'set-left! (po-set-left!))
(values 'set-right! (po-set-right!))
(values 'vec-ref (po-vec-ref))
(values 'cons (po-cons))
(values 'cons? (po-consp))
(values 'vec-set! (po-vec-set!))
(values 'vec (po-mvec))
(values 'mvec (po-mvec))
(values 'list (po-list)))
(list)
(λ (IH e)
(cons (values (fst e)
(v-prim (snd e)))
IH)))]
[base-env-map (append
(map2 pair
(map fst x&v*)
(map some (map snd x&v*)))
(list (pair 'empty (some (v-empty)))
(pair 'map (some (v-addr (ha-prim (pa-map)))))
(pair 'filter (some (v-addr (ha-prim (pa-filter)))))
(pair 'member? (some (v-addr (ha-prim (pa-memberp)))))
(pair 'foldl (some (v-addr (ha-prim (pa-foldl)))))
(pair 'foldr (some (v-addr (ha-prim (pa-foldr)))))
(pair 'andmap (some (v-addr (ha-prim (pa-andmap)))))
(pair 'ormap (some (v-addr (ha-prim (pa-ormap)))))
(pair 'false (some (v-bool #f)))
(pair 'true (some (v-bool #t)))))]
[builtins (envmap-keys base-env-map)]
[addr (ha-prim (pa-base-env))]
[hv (h-env (none) base-env-map)]
[the-heap (heap-set the-heap addr hv)]
[base-env (some addr)]
(the-heap (heap-set the-heap (ha-prim (pa-map))
(h-fun base-env
(some 'map)
(list 'f 'xs)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'xs) (t-var 'empty)))
(t-var 'empty)
(t-app (t-var 'cons)
(list (t-app (t-var 'f)
(list (t-app (t-quote (v-prim (po-first)))
(list (t-var 'xs)))))
(t-app (t-var 'map)
(list (t-var 'f)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'xs))))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-memberp))
(h-fun base-env
(some 'member?)
(list 'x 'l)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'l) (t-var 'empty)))
(t-quote (v-bool #f))
(t-or (t-app (t-var 'equal?)
(list (t-app (t-quote (v-prim (po-first)))
(list (t-var 'l)))
(t-var 'x)))
(t-app (t-var 'member?)
(list (t-var 'x)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'l)))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-filter))
(h-fun base-env
(some 'filter)
(list 'f 'xs)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'xs) (t-var 'empty)))
(t-var 'empty)
(t-if (t-app (t-var 'f)
(list (t-app (t-quote (v-prim (po-first)))
(list (t-var 'xs)))))
(t-app (t-var 'cons)
(list (t-app (t-quote (v-prim (po-first)))
(list (t-var 'xs)))
(t-app (t-var 'filter)
(list (t-var 'f)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'xs)))))))
(t-app (t-var 'filter)
(list (t-var 'f)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'xs)))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-foldl))
(h-fun base-env
(some 'foldl)
(list 'f 'base 'l)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'l) (t-var 'empty)))
(t-var 'base)
(t-app (t-var 'foldl)
(list
(t-var 'f)
(t-app (t-var 'f)
(list
(t-app (t-quote (v-prim (po-first)))
(list (t-var 'l)))
(t-var 'base)))
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'l))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-foldr))
(h-fun base-env
(some 'foldr)
(list 'f 'base 'l)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'l) (t-var 'empty)))
(t-var 'base)
(t-app (t-var 'f)
(list
(t-app (t-quote (v-prim (po-first)))
(list (t-var 'l)))
(t-app (t-var 'foldr)
(list
(t-var 'f)
(t-var 'base)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'l))))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-andmap))
(h-fun base-env
(some 'andmap)
(list 'p? 'l)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'l) (t-var 'empty)))
(t-quote (v-bool #t))
(t-and (t-app (t-var 'p?)
(list
(t-app (t-quote (v-prim (po-first)))
(list (t-var 'l)))))
(t-app (t-var 'andmap)
(list
(t-var 'p?)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'l)))))))))))
(the-heap (heap-set the-heap (ha-prim (pa-ormap))
(h-fun base-env
(some 'andmap)
(list 'p? 'l)
(block
(list)
(list)
(t-if (t-app (t-var 'equal?) (list (t-var 'l) (t-var 'empty)))
(t-quote (v-bool #t))
(t-or (t-app (t-var 'p?)
(list
(t-app (t-quote (v-prim (po-first)))
(list (t-var 'l)))))
(t-app (t-var 'andmap)
(list
(t-var 'p?)
(t-app (t-quote (v-prim (po-rest)))
(list (t-var 'l)))))))))))
)
(values the-heap base-env builtins)))
(define-type Operator
(op-prim [name : PrimitiveOp])
(op-fun [env : Env] [arg* : (Listof Id)] [body : Block]))
(define-type OtherState
(setting [x : Id] [v : Val] [env : Env] [ectx : ECtx] [stack : Stack])
(setted [env : Env] [ectx : ECtx] [stack : Stack])
(vector-setting [addr : HeapAddress] [it : (Vectorof Val)] [i : Number] [velm : Val]
[env : Env] [ectx : ECtx] [stack : Stack])
(calling [fun : Val] [args* : (Listof Val)] [env : Env] [ectx : ECtx] [stack : Stack]
[clos-env : Env] [arg* : (Listof Id)] [body : Block])
(called [e : Term] [env : Env] [stack : Stack])
(returning [v : Val] [stack : Stack])
(returned [v : Val] [env : Env] [ectx : ECtx] [stack : Stack])
(terminated [v* : (Listof Val)])
(errored))
(define-type-alias State (Heap * OtherState))