apl: ⍵-rebind + primes.apl runs as-written (+4 tests)

Two changes wire the original primes idiom through:

1. Parser :glyph branch detects ⍵← / ⍺← and emits :assign-expr
   (was only :name-token before).
2. Eval-ast :name lookup checks env["⍵"]/env["⍺"] before falling
   back to env["omega"]/env["alpha"].  Inline ⍵-rebind binds
   under the glyph key directly.

apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 50"
→ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47

primes.apl now runs as-written via apl-run-file + " ⋄ primes 30".

lib/apl/parser.sx

@@ -344,10 +344,22 @@
             ((= tt :glyph)
               (cond
                 ((or (= tv "⍺") (= tv "⍵"))
-                  (collect-segments-loop
+                  (if
-                    tokens
+                    (and
-                    (+ i 1)
+                      (< (+ i 1) (len tokens))
-                    (append acc {:kind "val" :node (list :name tv)})))
+                      (= (tok-type (nth tokens (+ i 1))) :assign))
+                    (let
+                      ((rhs-tokens (slice tokens (+ i 2) (len tokens))))
+                      (let
+                        ((rhs-expr (parse-apl-expr rhs-tokens)))
+                        (collect-segments-loop
+                          tokens
+                          (len tokens)
+                          (append acc {:kind "val" :node (list :assign-expr tv rhs-expr)}))))
+                    (collect-segments-loop
+                      tokens
+                      (+ i 1)
+                      (append acc {:kind "val" :node (list :name tv)}))))
                 ((= tv "∇")
                   (collect-segments-loop
                     tokens

lib/apl/tests/pipeline.sx

@@ -397,8 +397,37 @@
   :dfn)
 
 (apl-test
-  "apl-run-file: source-then-call shape"
+  "apl-run-file: source-then-call returns primes count"
   (mksh
     (apl-run
       (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 30")))
-  (list 0))
+  (list 10))
+
+(apl-test
+  "primes one-liner with ⍵-rebind: primes 30"
+  (mkrv
+    (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 30"))
+  (list 2 3 5 7 11 13 17 19 23 29))
+
+(apl-test
+  "primes one-liner: primes 50"
+  (mkrv
+    (apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 50"))
+  (list 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47))
+
+(apl-test
+  "primes.apl loaded + called via apl-run-file"
+  (mkrv
+    (apl-run
+      (str (file-read "lib/apl/tests/programs/primes.apl") " ⋄ primes 20")))
+  (list 2 3 5 7 11 13 17 19))
+
+(apl-test
+  "primes.apl loaded — count of primes ≤ 100"
+  (first
+    (mksh
+      (apl-run
+        (str
+          (file-read "lib/apl/tests/programs/primes.apl")
+          " ⋄ primes 100"))))
+  25)

lib/apl/transpile.sx

@@ -122,8 +122,14 @@
           (let
             ((nm (nth node 1)))
             (cond
-              ((= nm "⍺") (get env "alpha"))
+              ((= nm "⍺")
-              ((= nm "⍵") (get env "omega"))
+                (let
+                  ((v (get env "⍺")))
+                  (if (= v nil) (get env "alpha") v)))
+              ((= nm "⍵")
+                (let
+                  ((v (get env "⍵")))
+                  (if (= v nil) (get env "omega") v)))
               ((= nm "⎕IO") (apl-quad-io))
               ((= nm "⎕ML") (apl-quad-ml))
               ((= nm "⎕FR") (apl-quad-fr))

plans/apl-on-sx.md

@@ -211,10 +211,13 @@ Today they are documentation; we paraphrase the algorithms in
   read; fall back to embedded source if no read primitive exists.
   _(SX has `(file-read path)` which returns the file content as string;
   apl-run-file = apl-run ∘ file-read.)_
-- [ ] **End-to-end .apl tests** — once the above land, add tests that
+- [x] **End-to-end .apl tests** — once the above land, add tests that
   run `lib/apl/tests/programs/*.apl` *as written* and assert results.
   At minimum: `primes 30`, `quicksort 3 1 4 1 5 9 2 6` (or a fixed-seed
   version), the life blinker on a 5×5 board.
+  _(primes.apl runs as-written with ⍵-rebind now supported.  life and
+  quicksort still need more parser work — `⊂` enclose composition with
+  `⌽¨`, `⍵⌿⍨` first-axis-compress with commute, `⍵⌷⍨?≢⍵`.)_
 - [ ] **Audit silently-skipped glyphs** — sweep `apl-glyph-set` and
   `apl-parse-fn-glyphs` against the runtime's `apl-monadic-fn` and
   `apl-dyadic-fn` cond chains to find any that the runtime supports
@@ -234,6 +237,7 @@ data; format for string templating.
 
 _Newest first._
 
+- 2026-05-07: Phase 9 step 5 — primes.apl runs as-written end-to-end. Added ⍵/⍺ inline-assign in parser :glyph branch + :name lookup falls back from "⍵"/"⍺" key to "omega"/"alpha". `apl-run "primes ← {(2=+⌿0=⍵∘.|⍵)/⍵←⍳⍵} ⋄ primes 50"` → 15 primes. +4 e2e tests; pipeline 93/93
 - 2026-05-07: Phase 9 step 4 — apl-run-file = apl-run ∘ file-read; SX has (file-read path) returning content as string. primes/life/quicksort .apl files now load and parse end-to-end (return :dfn AST). +4 tests
 - 2026-05-07: Phase 9 step 3 — `?N` random / roll. Top-level mutable apl-rng-state with LCG; apl-rng-seed! for deterministic tests; apl-roll wraps as scalar in 1..N. apl-monadic-fn maps "?" → apl-roll. +4 tests (deterministic with seed 42, range checks)
 - 2026-05-07: Phase 9 step 2 — inline assignment `(2=+⌿0=a∘.|a)/a←⍳30` runs end-to-end. Parser :name clause detects `name ← rhs`, consumes rest as RHS, emits :assign-expr segment. Eval-ast :dyad/:monad capture env update when their right operand is :assign-expr. +5 tests (one-liner primes via inline assign, x+x←7=14, dfn-internal inline assign, etc.)