Files
AILang/examples/fieldtest/loop_recur_1_isqrt_newton.ail
T
Brummel 2ed355c6fa fieldtest: loop-recur — 10 examples, 6 findings (milestone CLOSE, clean on all axes)
Post-audit downstream-LLM-author field test of the shipped
loop/recur surface (DESIGN.md + public examples only). 3 real
iterative programs (Newton isqrt, Collatz, Euclidean gcd) + 5
plausible-mistake negatives + 2 no-termination probes, all run
through the public ail CLI. 0 bugs. 4 working findings on the
milestone's own axes: rejection diagnostics point-exact AND
self-fixing; recur tail-position threads through match/let/outer-if
(spec only showed if); loop composes as a value sub-expression +
byte-stable round-trip; no-termination boundary exact. This
empirically substantiates the "LLM author can now write iterative
programs" claim.

Two orthogonal non-blocking findings, neither in loop/recur scope,
both routed to P2 todos (refused the scope creep into a loop/recur
tidy): niladic (app f) spec_gap independently re-confirms the
existing mut-local-F3 roadmap item (the design-fork decision
deliberately NOT auto-ratified under /boss — parked,
priority-strengthened); module-level (doc) diagnostic-hint friction
(one-line tidy). Boss-verified independently (gcd->27;
recur-outside-loop fires exact).

The standalone loop/recur milestone is fully ratified and CLOSED:
3 iterations + tidy shipped, audit clean (drift resolved, bench
pristine carry-on), fieldtest clean on every axis. Roadmap P0
marked closed.
2026-05-18 00:31:19 +02:00

24 lines
966 B
Plaintext

(module loop_recur_1_isqrt_newton
(fn main
(doc "Integer square root of 152399025 (= 12345^2) via Newton's method, then a sanity-difference. Expected stdout: 12345 then 0.")
(type (fn-type (params) (ret (con Unit)) (effects IO)))
(params)
(body
(let r (app isqrt 152399025)
(seq (app print r)
(app print (app - r 12345))))))
(fn isqrt
(doc "Newton's method for floor(sqrt(n)). Two binders: x (current guess) and prev (previous guess, to detect the fixpoint/2-cycle). The recur is buried inside a nested if, not at body toplevel.")
(type (fn-type (params (con Int)) (ret (con Int))))
(params n)
(body
(if (app < n 2)
n
(loop (x (con Int) n) (prev (con Int) 0)
(if (app == x prev)
x
(let next (app / (app + x (app / n x)) 2)
(if (app == next x)
next
(recur next x)))))))))