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kernel: Phase 4 standard env + factorial + 49 tests [shapes-reflective]
kernel-standard-env extends kernel-base-env with $if/$define!/$sequence/
$quote, reflection (eval/make-environment/get-current-environment),
binary arithmetic, comparison, list/pair, boolean primitives. Headline
test is recursive factorial (5! = 120, 10! = 3628800). Recursive sum,
length, map-add1, closures, curried arithmetic, and a $vau-using-$define!
demo also covered.
2026-05-11 20:50:34 +00:00

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;; lib/kernel/runtime.sx — the operativeapplicative substrate and the
;; standard Kernel environment.
;;
;; Phase 3 supplied four user-visible combiners ($vau, $lambda, wrap,
;; unwrap). Phase 4 fills out the rest of the R-1RK core: $if, $define!,
;; $sequence, eval, make-environment, get-current-environment, plus
;; arithmetic, equality, list/pair, and boolean primitives — enough to
;; write factorial.
;;
;; The standard env is built by EXTENDING the base env, not replacing
;; it. So `kernel-standard-env` includes everything from `kernel-base-env`.
;;
;; Public API
;; (kernel-base-env) — Phase 3 combiners
;; (kernel-standard-env) — Phase 4 standard environment
(define
knl-eparam-sentinel
(fn
(sym)
(cond
((= sym "_") :knl-ignore)
((= sym "#ignore") :knl-ignore)
(:else sym))))
(define
knl-formals-ok?
(fn
(formals)
(cond
((not (list? formals)) false)
((= (length formals) 0) true)
((string? (first formals)) (knl-formals-ok? (rest formals)))
(:else false))))
;; ── $vau ─────────────────────────────────────────────────────────
(define
kernel-vau-impl
(fn
(args dyn-env)
(cond
((not (= (length args) 3))
(error "$vau: expects (formals env-param body)"))
(:else
(let
((formals (first args))
(eparam-raw (nth args 1))
(body (nth args 2)))
(cond
((not (knl-formals-ok? formals))
(error "$vau: formals must be a list of symbols"))
((not (string? eparam-raw))
(error "$vau: env-param must be a symbol"))
(:else
(kernel-make-user-operative
formals
(knl-eparam-sentinel eparam-raw)
body
dyn-env))))))))
(define
kernel-vau-operative
(kernel-make-primitive-operative kernel-vau-impl))
;; ── $lambda ──────────────────────────────────────────────────────
(define
kernel-lambda-impl
(fn
(args dyn-env)
(cond
((not (= (length args) 2))
(error "$lambda: expects (formals body)"))
(:else
(let
((formals (first args)) (body (nth args 1)))
(cond
((not (knl-formals-ok? formals))
(error "$lambda: formals must be a list of symbols"))
(:else
(kernel-wrap
(kernel-make-user-operative formals :knl-ignore body dyn-env)))))))))
(define
kernel-lambda-operative
(kernel-make-primitive-operative kernel-lambda-impl))
;; ── wrap / unwrap / predicates ───────────────────────────────────
(define
kernel-wrap-applicative
(kernel-make-primitive-applicative
(fn
(args)
(cond
((not (= (length args) 1))
(error "wrap: expects exactly 1 argument"))
(:else (kernel-wrap (first args)))))))
(define
kernel-unwrap-applicative
(kernel-make-primitive-applicative
(fn
(args)
(cond
((not (= (length args) 1))
(error "unwrap: expects exactly 1 argument"))
(:else (kernel-unwrap (first args)))))))
(define
kernel-operative?-applicative
(kernel-make-primitive-applicative
(fn (args) (kernel-operative? (first args)))))
(define
kernel-applicative?-applicative
(kernel-make-primitive-applicative
(fn (args) (kernel-applicative? (first args)))))
(define
kernel-base-env
(fn
()
(let
((env (kernel-make-env)))
(kernel-env-bind! env "$vau" kernel-vau-operative)
(kernel-env-bind! env "$lambda" kernel-lambda-operative)
(kernel-env-bind! env "wrap" kernel-wrap-applicative)
(kernel-env-bind! env "unwrap" kernel-unwrap-applicative)
(kernel-env-bind! env "operative?" kernel-operative?-applicative)
(kernel-env-bind! env "applicative?" kernel-applicative?-applicative)
env)))
;; ── $if / $define! / $sequence ───────────────────────────────────
(define
kernel-if-operative
(kernel-make-primitive-operative
(fn
(args dyn-env)
(cond
((not (= (length args) 3))
(error "$if: expects (condition then-expr else-expr)"))
(:else
(let
((c (kernel-eval (first args) dyn-env)))
(if
c
(kernel-eval (nth args 1) dyn-env)
(kernel-eval (nth args 2) dyn-env))))))))
(define
kernel-define!-operative
(kernel-make-primitive-operative
(fn
(args dyn-env)
(cond
((not (= (length args) 2))
(error "$define!: expects (name expr)"))
((not (string? (first args)))
(error "$define!: name must be a symbol"))
(:else
(let
((v (kernel-eval (nth args 1) dyn-env)))
(kernel-env-bind! dyn-env (first args) v)
v))))))
(define
kernel-sequence-operative
(kernel-make-primitive-operative
(fn
(args dyn-env)
(cond
((or (nil? args) (= (length args) 0)) nil)
((= (length args) 1) (kernel-eval (first args) dyn-env))
(:else
(begin
(kernel-eval (first args) dyn-env)
((get kernel-sequence-operative :impl) (rest args) dyn-env)))))))
;; ── eval / make-environment / get-current-environment ───────────
(define
kernel-quote-operative
(kernel-make-primitive-operative
(fn
(args dyn-env)
(cond
((not (= (length args) 1)) (error "$quote: expects 1 argument"))
(:else (first args))))))
(define
kernel-eval-applicative
(kernel-make-primitive-applicative
(fn
(args)
(cond
((not (= (length args) 2))
(error "eval: expects (expr env)"))
((not (kernel-env? (nth args 1)))
(error "eval: second arg must be a kernel env"))
(:else (kernel-eval (first args) (nth args 1)))))))
(define
kernel-make-environment-applicative
(kernel-make-primitive-applicative
(fn
(args)
(cond
((= (length args) 0) (kernel-make-env))
((= (length args) 1)
(cond
((not (kernel-env? (first args)))
(error "make-environment: parent must be a kernel env"))
(:else (kernel-extend-env (first args)))))
(:else (error "make-environment: 0 or 1 argument"))))))
;; ── arithmetic and comparison (binary; trivial to extend later) ─
(define
kernel-get-current-env-operative
(kernel-make-primitive-operative
(fn
(args dyn-env)
(cond
((not (= (length args) 0))
(error "get-current-environment: expects 0 arguments"))
(:else dyn-env)))))
(define
knl-bin-app
(fn
(name f)
(kernel-make-primitive-applicative
(fn
(args)
(cond
((not (= (length args) 2))
(error (str name ": expects 2 arguments")))
(:else (f (first args) (nth args 1))))))))
;; ── list / pair primitives ──────────────────────────────────────
(define
knl-unary-app
(fn
(name f)
(kernel-make-primitive-applicative
(fn
(args)
(cond
((not (= (length args) 1))
(error (str name ": expects 1 argument")))
(:else (f (first args))))))))
(define kernel-cons-applicative (knl-bin-app "cons" (fn (a b) (cons a b))))
(define
kernel-car-applicative
(knl-unary-app
"car"
(fn
(xs)
(cond
((or (nil? xs) (and (list? xs) (= (length xs) 0)))
(error "car: empty list"))
(:else (first xs))))))
(define
kernel-cdr-applicative
(knl-unary-app
"cdr"
(fn
(xs)
(cond
((or (nil? xs) (and (list? xs) (= (length xs) 0)))
(error "cdr: empty list"))
(:else (rest xs))))))
(define
kernel-list-applicative
(kernel-make-primitive-applicative (fn (args) args)))
(define
kernel-length-applicative
(knl-unary-app "length" (fn (xs) (length xs))))
(define
kernel-null?-applicative
(knl-unary-app
"null?"
(fn (v) (or (nil? v) (and (list? v) (= (length v) 0))))))
;; ── boolean / equality ──────────────────────────────────────────
(define
kernel-pair?-applicative
(knl-unary-app
"pair?"
(fn (v) (and (list? v) (> (length v) 0)))))
(define kernel-not-applicative (knl-unary-app "not" (fn (v) (not v))))
(define kernel-eq?-applicative (knl-bin-app "eq?" (fn (a b) (= a b))))
;; ── the standard environment ────────────────────────────────────
(define
kernel-equal?-applicative
(knl-bin-app "equal?" (fn (a b) (= a b))))
(define
kernel-standard-env
(fn
()
(let
((env (kernel-base-env)))
(kernel-env-bind! env "$if" kernel-if-operative)
(kernel-env-bind! env "$define!" kernel-define!-operative)
(kernel-env-bind! env "$sequence" kernel-sequence-operative)
(kernel-env-bind! env "$quote" kernel-quote-operative)
(kernel-env-bind! env "eval" kernel-eval-applicative)
(kernel-env-bind!
env
"make-environment"
kernel-make-environment-applicative)
(kernel-env-bind!
env
"get-current-environment"
kernel-get-current-env-operative)
(kernel-env-bind! env "+" (knl-bin-app "+" (fn (a b) (+ a b))))
(kernel-env-bind! env "-" (knl-bin-app "-" (fn (a b) (- a b))))
(kernel-env-bind! env "*" (knl-bin-app "*" (fn (a b) (* a b))))
(kernel-env-bind! env "/" (knl-bin-app "/" (fn (a b) (/ a b))))
(kernel-env-bind! env "<" (knl-bin-app "<" (fn (a b) (< a b))))
(kernel-env-bind! env ">" (knl-bin-app ">" (fn (a b) (> a b))))
(kernel-env-bind! env "<=?" (knl-bin-app "<=?" (fn (a b) (<= a b))))
(kernel-env-bind! env ">=?" (knl-bin-app ">=?" (fn (a b) (>= a b))))
(kernel-env-bind! env "=?" kernel-eq?-applicative)
(kernel-env-bind! env "equal?" kernel-equal?-applicative)
(kernel-env-bind! env "eq?" kernel-eq?-applicative)
(kernel-env-bind! env "cons" kernel-cons-applicative)
(kernel-env-bind! env "car" kernel-car-applicative)
(kernel-env-bind! env "cdr" kernel-cdr-applicative)
(kernel-env-bind! env "list" kernel-list-applicative)
(kernel-env-bind! env "length" kernel-length-applicative)
(kernel-env-bind! env "null?" kernel-null?-applicative)
(kernel-env-bind! env "pair?" kernel-pair?-applicative)
(kernel-env-bind! env "not" kernel-not-applicative)
env)))