kernel: Phase 3 $vau/$lambda/wrap/unwrap + 34 tests [shapes-reflective]

User-defined operatives via $vau; applicatives via $lambda (wrap ∘ $vau).
wrap/unwrap as Kernel-level applicatives. kernel-call-operative forks
on :impl (primitive) vs :body (user) tag. kernel-base-env wires the
four combiners + operative?/applicative? predicates. Env-param sentinel
`_` / `#ignore` → :knl-ignore (skip dyn-env bind). Flat parameter list
only; destructuring later. Headline test: custom applicative + custom
operative composed from user code.

lib/kernel/tests/vau.sx

@@ -0,0 +1,289 @@
+;; lib/kernel/tests/vau.sx — exercises lib/kernel/runtime.sx.
+;;
+;; Verifies the Phase 3 promise: user-defined operatives and applicatives
+;; constructible from inside the language. Tests build a Kernel
+;; base-env, bind a few helper applicatives (+, *, list, =, $if), and
+;; run programs that construct and use custom combiners.
+
+(define kv-test-pass 0)
+(define kv-test-fail 0)
+(define kv-test-fails (list))
+
+(define
+  kv-test
+  (fn
+    (name actual expected)
+    (if
+      (= actual expected)
+      (set! kv-test-pass (+ kv-test-pass 1))
+      (begin
+        (set! kv-test-fail (+ kv-test-fail 1))
+        (append! kv-test-fails {:name name :actual actual :expected expected})))))
+
+(define kv-eval-src (fn (src env) (kernel-eval (kernel-parse src) env)))
+
+(define
+  kv-make-env
+  (fn
+    ()
+    (let
+      ((env (kernel-base-env)))
+      (kernel-env-bind!
+        env
+        "+"
+        (kernel-make-primitive-applicative
+          (fn (args) (+ (first args) (nth args 1)))))
+      (kernel-env-bind!
+        env
+        "*"
+        (kernel-make-primitive-applicative
+          (fn (args) (* (first args) (nth args 1)))))
+      (kernel-env-bind!
+        env
+        "-"
+        (kernel-make-primitive-applicative
+          (fn (args) (- (first args) (nth args 1)))))
+      (kernel-env-bind!
+        env
+        "="
+        (kernel-make-primitive-applicative
+          (fn (args) (= (first args) (nth args 1)))))
+      (kernel-env-bind!
+        env
+        "list"
+        (kernel-make-primitive-applicative (fn (args) args)))
+      (kernel-env-bind!
+        env
+        "cons"
+        (kernel-make-primitive-applicative
+          (fn (args) (cons (first args) (nth args 1)))))
+      (kernel-env-bind!
+        env
+        "$quote"
+        (kernel-make-primitive-operative (fn (args dyn-env) (first args))))
+      (kernel-env-bind!
+        env
+        "$if"
+        (kernel-make-primitive-operative
+          (fn
+            (args dyn-env)
+            (if
+              (kernel-eval (first args) dyn-env)
+              (kernel-eval (nth args 1) dyn-env)
+              (kernel-eval (nth args 2) dyn-env)))))
+      env)))
+
+;; ── $vau: builds an operative ───────────────────────────────────
+(kv-test
+  "vau: identity returns first arg unevaluated"
+  (kv-eval-src "(($vau (a) _ a) hello)" (kv-make-env))
+  "hello")
+
+(kv-test
+  "vau: returns args as raw expressions"
+  (kv-eval-src "(($vau (a b) _ (list a b)) (+ 1 2) (+ 3 4))" (kv-make-env))
+  (list (list "+" 1 2) (list "+" 3 4)))
+
+(kv-test
+  "vau: env-param is a kernel env"
+  (kernel-env? (kv-eval-src "(($vau () e e))" (kv-make-env)))
+  true)
+
+(kv-test
+  "vau: returns operative"
+  (kernel-operative? (kv-eval-src "($vau (x) _ x)" (kv-make-env)))
+  true)
+
+(kv-test
+  "vau: returns operative not applicative"
+  (kernel-applicative? (kv-eval-src "($vau (x) _ x)" (kv-make-env)))
+  false)
+
+(kv-test
+  "vau: zero-arg body"
+  (kv-eval-src "(($vau () _ 42))" (kv-make-env))
+  42)
+
+(kv-test
+  "vau: static-env closure captured"
+  (let
+    ((outer (kv-make-env)))
+    (kernel-env-bind! outer "captured" 17)
+    (let
+      ((op (kv-eval-src "($vau () _ captured)" outer))
+        (caller (kv-make-env)))
+      (kernel-env-bind! caller "captured" 99)
+      (kernel-combine op (list) caller)))
+  17)
+
+(kv-test
+  "vau: env-param exposes caller's dynamic env"
+  (let
+    ((outer (kv-make-env)))
+    (kernel-env-bind! outer "x" 1)
+    (let
+      ((op (kv-eval-src "($vau () e e)" outer)) (caller (kv-make-env)))
+      (kernel-env-bind! caller "x" 2)
+      (let
+        ((e-val (kernel-combine op (list) caller)))
+        (kernel-env-lookup e-val "x"))))
+  2)
+
+;; ── $lambda: applicatives evaluate their args ───────────────────
+(kv-test
+  "lambda: identity"
+  (kv-eval-src "(($lambda (x) x) 42)" (kv-make-env))
+  42)
+
+(kv-test
+  "lambda: addition"
+  (kv-eval-src "(($lambda (x y) (+ x y)) 3 4)" (kv-make-env))
+  7)
+
+(kv-test
+  "lambda: args are evaluated before bind"
+  (kv-eval-src "(($lambda (x) x) (+ 2 3))" (kv-make-env))
+  5)
+
+(kv-test
+  "lambda: zero args"
+  (kv-eval-src "(($lambda () 99))" (kv-make-env))
+  99)
+
+(kv-test
+  "lambda: returns applicative"
+  (kernel-applicative? (kv-eval-src "($lambda (x) x)" (kv-make-env)))
+  true)
+
+(kv-test
+  "lambda: returns applicative not operative"
+  (kernel-operative? (kv-eval-src "($lambda (x) x)" (kv-make-env)))
+  false)
+
+(kv-test
+  "lambda: higher-order"
+  (kv-eval-src "(($lambda (f) (f 10)) ($lambda (x) (+ x 1)))" (kv-make-env))
+  11)
+
+;; ── wrap / unwrap as user-callable applicatives ─────────────────
+
+(kv-test
+  "wrap: makes applicative from operative"
+  (kernel-applicative? (kv-eval-src "(wrap ($vau (x) _ x))" (kv-make-env)))
+  true)
+
+(kv-test
+  "wrap: result evaluates its arg"
+  (kv-eval-src "((wrap ($vau (x) _ x)) (+ 1 2))" (kv-make-env))
+  3)
+
+(kv-test
+  "unwrap: extracts operative from applicative"
+  (kernel-operative? (kv-eval-src "(unwrap ($lambda (x) x))" (kv-make-env)))
+  true)
+
+(kv-test
+  "wrap/unwrap roundtrip preserves identity"
+  (kv-eval-src
+    "(($lambda (op) (= op (unwrap (wrap op)))) ($vau (x) _ x))"
+    (kv-make-env))
+  true)
+
+;; ── operative? / applicative? as user-visible predicates ────────
+
+(kv-test
+  "operative? on vau result"
+  (kv-eval-src "(operative? ($vau (x) _ x))" (kv-make-env))
+  true)
+
+(kv-test
+  "operative? on lambda result"
+  (kv-eval-src "(operative? ($lambda (x) x))" (kv-make-env))
+  false)
+
+(kv-test
+  "applicative? on lambda result"
+  (kv-eval-src "(applicative? ($lambda (x) x))" (kv-make-env))
+  true)
+
+(kv-test
+  "applicative? on vau result"
+  (kv-eval-src "(applicative? ($vau (x) _ x))" (kv-make-env))
+  false)
+
+(kv-test
+  "operative? on number"
+  (kv-eval-src "(operative? 42)" (kv-make-env))
+  false)
+
+;; ── Build BOTH layers from user code ────────────────────────────
+;; The headline Phase 3 test: defining an operative on top of an
+;; applicative defined on top of a vau.
+
+(kv-test
+  "custom: applicative + operative compose"
+  (let
+    ((env (kv-make-env)))
+    (kernel-env-bind! env "square" (kv-eval-src "($lambda (x) (* x x))" env))
+    (kv-eval-src "(square 4)" env))
+  16)
+
+(kv-test "custom: operative captures argument syntax"
+  ;; ($capture x) returns the raw expression `x`, regardless of value.
+  (let ((env (kv-make-env)))
+    (kernel-env-bind! env "$capture"
+      (kv-eval-src "($vau (form) _ form)" env))
+    (kv-eval-src "($capture (+ 1 2))" env))
+  (list "+" 1 2))
+
+(kv-test "custom: applicative re-wraps an operative"
+  ;; Build a captured operative, then wrap it into an applicative that
+  ;; evaluates args before re-entry. This exercises wrap+$vau composed.
+  (let ((env (kv-make-env)))
+    (kernel-env-bind! env "id-app"
+      (kv-eval-src "(wrap ($vau (x) _ x))" env))
+    (kv-eval-src "(id-app (+ 10 20))" env))
+  30)
+
+;; ── Error cases ──────────────────────────────────────────────────
+
+(kv-test
+  "vau: rejects non-list formals"
+  (guard (e (true :raised)) (kv-eval-src "($vau x _ x)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "vau: rejects non-symbol formal"
+  (guard (e (true :raised)) (kv-eval-src "($vau (1) _ x)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "vau: rejects non-symbol env-param"
+  (guard (e (true :raised)) (kv-eval-src "($vau (x) 7 x)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "vau: too few args at call site"
+  (guard
+    (e (true :raised))
+    (kv-eval-src "(($vau (x y) _ x) 1)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "vau: too many args at call site"
+  (guard
+    (e (true :raised))
+    (kv-eval-src "(($vau (x) _ x) 1 2)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "wrap: rejects non-operative"
+  (guard (e (true :raised)) (kv-eval-src "(wrap 42)" (kv-make-env)))
+  :raised)
+
+(kv-test
+  "unwrap: rejects non-applicative"
+  (guard (e (true :raised)) (kv-eval-src "(unwrap 42)" (kv-make-env)))
+  :raised)
+
+(define kv-tests-run! (fn () {:total (+ kv-test-pass kv-test-fail) :passed kv-test-pass :failed kv-test-fail :fails kv-test-fails}))