ares/fourth-pass/nock-g-closure-convert.rkt

282 lines
14 KiB
Racket

#lang racket
(require rackunit)
(define (nock-noun subject formula gates err-k trace)
(nock-noun-cps subject formula gates err-k trace empty-k))
(define (nock-noun-cps subject formula gates err-k trace k)
(let*
[(recur-on-noun (recur-on-noun-closure gates err-k trace))
(recur-on-noun-with-hint (recur-on-noun-with-hint-closure gates err-k trace))
(recur-on-scry-gate (recur-on-scry-gate-closure gates))]
(match formula
([cons (cons (var b) (var c)) (var d)]
(apply-3 recur-on-noun subject (cons b c)
(nock-cons-k-1 recur-on-noun subject d k)))
([cons 0 (var b)]
(nock-tree-find-cps subject b err-k trace k))
([cons 1 (var b)]
(apply-k k b))
([cons 2 (cons (var b) (var c))]
(apply-3 recur-on-noun subject b
(nock-2-k-1 recur-on-noun subject c k)))
([cons 3 (var b)]
(apply-3 recur-on-noun subject b
(nock-3-k k)))
([cons 4 (var b)]
(apply-3 recur-on-noun subject b
(nock-4-k k)))
([cons 5 (cons (var b) (var c))]
(apply-3 recur-on-noun subject b
(nock-5-k-1 recur-on-noun subject c k)))
([cons 6 (cons (var b) (cons (var c) (var d)))]
(apply-3 recur-on-noun subject b
(nock-6-k recur-on-noun subject c d err-k trace k)))
([cons 7 (cons (var b) (var c))]
(apply-3 recur-on-noun subject b
(nock-7-k recur-on-noun c k)))
([cons 8 (cons (var b) (var c))]
(apply-3 recur-on-noun subject b
(nock-8-k recur-on-noun subject c k)))
([cons 9 (cons (var b) (var c))]
(apply-3 recur-on-noun subject c
(nock-9-k-1 recur-on-noun b err-k trace k)))
([cons 10 (cons (cons (var b) (var c)) (var d))]
(apply-3 recur-on-noun subject c
(nock-10-k-1 recur-on-noun subject d b err-k trace k)))
([cons 11 (cons (cons (var b) (var c)) (var d))]
(apply-3 recur-on-noun subject c
(nock-11-k recur-on-noun-with-hint recur-on-noun subject d b k)))
([cons 11 (cons (var b) (var c))]
(apply-3 recur-on-noun subject c k))
([cons 12 (cons (var ref) (var path))]
(apply-3 recur-on-noun subject ref
(nock-12-k-1 recur-on-noun subject path recur-on-scry-gate err-k trace k))))))
(define nock-tree-find-cps
(lambda (tree address err-k trace k)
(if (= address 0)
(err-k (cons 2 trace))
(if (= address 1)
(apply-k k tree)
(if (even? address)
(nock-tree-find-cps tree (quotient address 2) err-k trace
(nock-tree-find-k-car k))
(nock-tree-find-cps tree (quotient address 2) err-k trace
(nock-tree-find-k-cdr k)))))))
; # operator in nock spec: tree editing
(define nock-tree-edit-cps
(lambda (subtree address tree err-k trace k)
(if (= address 0)
(err-k (cons 2 trace))
(reverse-address-cps address (nock-tree-edit-k subtree tree k)))))
; Transform a nock address into a bitwise reversed address and a depth
; Note that the MSB of the address is always 1, and is *not* a head/tail bit.
; So we discard that one and do not count it in the depth.
; Editing on our representation is then a matter of
; editing the car or cdr of the tree based on whether the LSB is 1 or 0,
; shifting, decrementing the depth, and going around again *until the depth is 0*
;
; note that with several car bits at the bottom of the path (LSB in address, MSB reversed)
; the reversed address will be 0 for several iteraitons at the end, thus we test the depth
; and not the reversed address
(define (reverse-address-cps address k)
(reverse-address-acc-cps address 0 0 k))
(define (reverse-address-acc-cps address reversed depth k)
(if (= address 0)
; The most-significant bit in the address is a marker for the depth of
; the address, not a head/tail flag. We are instead storing the depth separately
; in the reversed representation, so we discard it.
(apply-k k (cons (arithmetic-shift reversed -1) (- depth 1)))
(let*
[(top-bit (bitwise-and address 1))
(reversed (bitwise-ior (arithmetic-shift reversed 1) top-bit))
(address (arithmetic-shift address -1))
(depth (+ depth 1))]
(reverse-address-acc-cps address reversed depth k))))
(define nock-tree-edit-reversed-cps
(lambda (subtree reversed-depth tree k)
(let*
[(reversed (car reversed-depth))
(depth (cdr reversed-depth))
(reversed-depth (cons (arithmetic-shift reversed -1) (- depth 1)))]
(if (= depth 0)
(apply-k k subtree)
(if (even? reversed)
(nock-tree-edit-reversed-cps subtree reversed-depth (car tree)
(nock-tree-edit-k-car tree k))
(nock-tree-edit-reversed-cps subtree reversed-depth (cdr tree)
(nock-tree-edit-k-cdr tree k)))))))
(define (recur-on-noun-closure gates err-k trace) (list 'recur-on-noun gates err-k trace))
(define (recur-on-noun-with-hint-closure gates err-k trace) (list 'recur-on-noun-with-hint gates err-k trace))
(define (recur-on-scry-gate-closure gates) (list 'recur-on-scry-gate gates))
(define empty-k (list 'empty-k))
(define (nock-cons-k-1 recur-on-noun subject d k) (list 'nock-cons-k-1 recur-on-noun subject d k))
(define (nock-cons-k-2 u k) (list 'nock-cons-k-2 u k))
(define (nock-2-k-1 recur-on-noun subject c k) (list 'nock-2-k-1 recur-on-noun subject c k))
(define (nock-2-k-2 recur-on-noun u k) (list 'nock-2-k-2 recur-on-noun u k))
(define (nock-3-k k) (list 'nock-3-k k))
(define (nock-4-k k) (list 'nock-4-k k))
(define (nock-5-k-1 recur-on-noun subject c k) (list 'nock-5-k-1 recur-on-noun subject c k))
(define (nock-5-k-2 u k) (list 'nock-5-k-2 u k))
(define (nock-6-k recur-on-noun subject c d err-k trace k) (list 'nock-6-k recur-on-noun subject c d err-k trace k))
(define (nock-7-k recur-on-noun c k) (list 'nock-7-k recur-on-noun c k))
(define (nock-8-k recur-on-noun subject c k) (list 'nock-8-k recur-on-noun subject c k))
(define (nock-9-k-1 recur-on-noun b err-k trace k) (list 'nock-9-k-1 recur-on-noun b err-k trace k))
(define (nock-9-k-2 recur-on-noun u k) (list 'nock-9-k-2 recur-on-noun u k))
(define (nock-10-k-1 recur-on-noun subject d b err-k trace k) (list 'nock-10-k-1 recur-on-noun subject d b err-k trace k))
(define (nock-10-k-2 u b err-k trace k) (list 'nock-10-k-2 u b err-k trace k))
(define (nock-11-k recur-on-noun-with-hint recur-on-noun subject d b k) (list 'nock-11-k recur-on-noun-with-hint recur-on-noun subject d b k))
(define (nock-12-k-1 recur-on-noun subject path recur-on-scry-gate err-k trace k) (list 'nock-12-k-2 recur-on-noun subject path recur-on-scry-gate err-k trace k))
(define (nock-12-k-2 recur-on-scry-gate u err-k trace k) (list 'nock-12-k-2 recur-on-scry-gate u err-k trace k))
(define (nock-12-k-3 u v^ err-k trace k) (list 'nock-12-k-3 u v^ err-k trace k))
(define (nock-tree-edit-k subtree tree k) (list 'nock-tree-edit-k subtree tree k))
(define (nock-tree-find-k-car k) (list 'nock-tree-find-k-car k))
(define (nock-tree-find-k-cdr k) (list 'nock-tree-find-k-cdr k))
(define (nock-tree-edit-k-car tree k) (list 'nock-tree-edit-k-car tree k))
(define (nock-tree-edit-k-cdr tree k) (list 'nock-tree-edit-k-cdr tree k))
(define (apply-k k^ v)
(match k^
([list 'empty-k] v)
([list 'nock-cons-k-1 (var recur-on-noun) (var subject) (var d) (var k)] (apply-3 recur-on-noun subject d (nock-cons-k-2 v k)))
([list 'nock-cons-k-2 (var u) (var k)] (apply-k k (cons u v)))
([list 'nock-2-k-1 (var recur-on-noun) (var subject) (var c) (var k)] (apply-3 recur-on-noun subject c (nock-2-k-2 recur-on-noun v k)))
([list 'nock-2-k-2 (var recur-on-noun) (var u) (var k)] (apply-3 recur-on-noun u v k))
([list 'nock-3-k (var k)] (if (pair? v) (apply-k k 0) (apply-k k 1)))
([list 'nock-4-k (var k)] (apply-k k (+ 1 v)))
([list 'nock-5-k-1 (var recur-on-noun) (var subject) (var c) (var k)] (apply-3 recur-on-noun subject c (nock-5-k-2 v k)))
([list 'nock-5-k-2 (var u) (var k)] (if (eqv? u v) (apply-k k 0) (apply-k k 1)))
([list 'nock-6-k (var recur-on-noun) (var subject) (var c) (var d) (var err-k) (var trace) (var k)]
(if (= 0 v)
(apply-3 recur-on-noun subject c k)
(if (= 1 v)
(apply-3 recur-on-noun subject d k)
(err-k (cons 2 trace)))))
([list 'nock-7-k (var recur-on-noun) (var c) (var k)] (apply-3 recur-on-noun v c k))
([list 'nock-8-k (var recur-on-noun) (var subject) (var c) (var k)] (apply-3 recur-on-noun (cons v subject) c k))
([list 'nock-9-k-1 (var recur-on-noun) (var b) (var err-k) (var trace) (var k)]
(nock-tree-find-cps v b err-k trace (nock-9-k-2 recur-on-noun v k)))
([list 'nock-9-k-2 (var recur-on-noun) (var u) (var k)] (apply-3 recur-on-noun u v k))
([list 'nock-10-k-1 (var recur-on-noun) (var subject) (var d) (var b) (var err-k) (var trace) (var k)]
(apply-3 recur-on-noun subject d
(nock-10-k-2 v b err-k trace k)))
([list 'nock-10-k-2 (var u) (var b) (var err-k) (var trace) (var k)]
(nock-tree-edit-cps u b v err-k trace k))
([list 'nock-11-k (var recur-on-noun-with-hint) (var recur-on-noun) (var subject) (var d) (var b) (var k)]
(if (member b (list (tas "hunk") (tas "hand") (tas "lose") (tas "mean") (tas "spot")))
(apply-4 recur-on-noun-with-hint subject d (cons b v) k)
(apply-3 recur-on-noun subject d k)))
([list 'nock-12-k-1 (var recur-on-noun) (var subject) (var path) (var recur-on-scry-gate) (var err-k) (var trace) (var k)]
(apply-3 recur-on-noun subject path
(nock-12-k-2 recur-on-scry-gate v err-k trace k)))
([list 'nock-12-k-2 (var recur-on-scry-gate) (var u) (var err-k) (var trace) (var k)]
(apply-3 recur-on-scry-gate u v (nock-12-k-3 u v err-k trace k)))
([list 'nock-12-k-3 (var u) (var v^) (var err-k) (var trace) (var k)]
(if (equal? 0 v)
; ~
(err-k (cons 1 v))
(if (equal? 0 (cdr v))
; [~ ~]
(err-k (cons 2 (cons (cons (tas "hunk") (cons u v^)) trace)))
(apply-k k (cdr (cdr v))))))
([list 'nock-tree-find-k-car (var k)] (apply-k k (car v)))
([list 'nock-tree-find-k-cdr (var k)] (apply-k k (cdr v)))
([list 'nock-tree-edit-k (var subtree) (var tree) (var k)]
(nock-tree-edit-reversed-cps subtree v tree k))
([list 'nock-tree-edit-k-car (var tree) (var k)] (apply-k k (cons v (cdr tree))))
([list 'nock-tree-edit-k-cdr (var tree) (var k)] (apply-k k (cons (car tree) v)))
([var k^] #:when (procedure? k^) (k^ v))))
(define (apply-3 k^ u v w)
(match k^
([list 'recur-on-noun (var gates) (var err-k) (var trace)]
(nock-noun-cps u v gates err-k trace w))
([list 'recur-on-scry-gate (var gates)]
(let*
[(gate (car (car gates)))
(err-k (car (cdr (car gates))))
(trace (cdr (cdr (car gates))))
(gates (cdr gates))
(core (cons (car gate) (cons (cons u v) (cdr (cdr gate)))))]
(nock-noun-cps core (car core) gates err-k trace w)))
([var k^] #:when (procedure? k^) (k^ u v w))))
(define (apply-4 k^ u v w x)
(match k^
([list 'recur-on-noun-with-hint (var gates) (var err-k) (var trace)]
(nock-noun-cps u v gates err-k (cons w trace) x))
([var k^] #:when (procedure? k^) (k^ u v w x))))
;; macro for %tas literals:
;; converts input string into a numeric literal of that string represented as a %tas, i.e. an
;; atom with the ascii bytes of the string in sequence (first->LSB, last->MSB)
(define-syntax (tas str)
(quasisyntax
(unsyntax
(foldr
(lambda (char atom) (bitwise-ior (bitwise-and #xFF (char->integer char)) (arithmetic-shift atom 8)))
0
(string->list (car (cdr (syntax->datum str))))))))
(define nock-here 1)
(define (nock-car address) (* address 2))
(define (nock-cdr address) (+ 1 (* address 2)))
(define (get-0 x) (cons 0 x))
(define (literal-1 x) (cons 1 x))
(define (eval-2 x y) (cons 2 (cons x y)))
(define (cell?-3 x) (cons 3 x))
(define (inc-4 x) (cons 4 x))
(define (=-5 x y) (cons 5 (cons x y)))
(define (if-6 x y z) (cons 6 (cons x (cons y z))))
(define (compose-7 x y) (cons 7 (cons x y)))
(define (declare-8 x y) (cons 8 (cons x y)))
(define (call-9 x y) (cons 9 (cons x y)))
(define (update-10 x y z) (cons 10 (cons (cons x y) z)))
(define (hint-11 x y) (cons 11 (cons x y)))
(define lootru 0)
(define loofal 1)
(define test-tree (cons (cons 4 5) 3))
(define decrement-4-core
(cons
(if-6 (=-5 (get-0 (nock-car (nock-cdr nock-here))) (inc-4 (get-0 (nock-cdr (nock-cdr nock-here)))))
(get-0 (nock-cdr (nock-cdr nock-here)))
(call-9 (nock-car nock-here) (update-10 (nock-cdr (nock-cdr nock-here)) (inc-4 (get-0 (nock-cdr (nock-cdr nock-here)))) (get-0 nock-here))))
(cons 4 0)))
(define (nock-test subject formula) (nock-noun subject formula '() test-err-k '()))
(define (test-err-k err)
(printf "Error: ~v" err)
(error 'nock-err))
(check-equal? (nock-test test-tree (get-0 nock-here) ) test-tree "tree address 1")
(check-equal? (nock-test test-tree (get-0 (nock-car nock-here))) (car test-tree) "tree address 2")
(check-equal? (nock-test test-tree (get-0 (nock-cdr nock-here))) (cdr test-tree) "tree address 3")
(check-equal? (nock-test test-tree (get-0 (nock-car (nock-car nock-here)))) (car (car test-tree)) "tree address 4")
(check-equal? (nock-test test-tree (get-0 (nock-cdr (nock-car nock-here)))) (cdr (car test-tree)) "tree address 5")
(check-equal? (nock-test 0 (literal-1 test-tree)) test-tree "literal")
(check-equal? (nock-test 0 (eval-2 (literal-1 test-tree) (literal-1 (get-0 2)))) (car test-tree) "eval")
(check-equal? (nock-test test-tree (cell?-3 (get-0 1))) lootru "test cell true")
(check-equal? (nock-test test-tree (cell?-3 (get-0 3))) loofal "test cell false")
(check-equal? (nock-test 0 (inc-4 (literal-1 0))) 1 "increment")
(check-equal? (nock-test test-tree (=-5 (literal-1 test-tree) (get-0 1))) lootru "test equals true")
(check-equal? (nock-test test-tree (=-5 (literal-1 test-tree) (get-0 2))) loofal "test equals false")
(check-equal? (nock-test test-tree (if-6 (literal-1 lootru) (literal-1 5) (get-0 100))) 5 "test if tru")
(check-equal? (nock-test test-tree (if-6 (literal-1 loofal) (get-0 100) (literal-1 5))) 5 "test if false")
(check-equal? (nock-test 0 (compose-7 (literal-1 test-tree) (get-0 2))) (car test-tree) "test compose")
(check-equal? (nock-test 0 (declare-8 (literal-1 test-tree) (get-0 2))) test-tree "test declare")
(check-equal? (nock-test 0 (call-9 (nock-car nock-here) (literal-1 decrement-4-core))) 3 "test call")
(check-equal? (nock-test 0 (update-10 (nock-cdr nock-here) (literal-1 (cons 6 7)) (literal-1 test-tree))) (cons (cons 4 5) (cons 6 7)) "test update")
(check-equal? (nock-test 0 (call-9 (nock-car nock-here) (update-10 (nock-car (nock-cdr nock-here)) (literal-1 8) (literal-1 decrement-4-core)))) 7 "test slam i.e. update sample and call")
; test 11 static and dynamic