commerce: promo rules (percent/fixed/bundle/member) as relations (17 tests)

promo.sx — four promo types as tagged tuples; per-promo discount is pure
integer arithmetic, but enumeration is relational: promo-discounto and
promo-applieso run forward ("which codes apply, for how much?") and backward
("which code yields this discount?"). project grounds the membero-bound promo.
applicable-promos / promo-amount-for deterministic helpers. Total 83/83.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

lib/commerce/promo.sx

@@ -0,0 +1,153 @@
+;; lib/commerce/promo.sx — promotions as relations over the cart + catalog.
+;;
+;; A promo is a tagged tuple; the second field is always its code:
+;;   (:percent code class pct-bps)   pct-bps off every line of product-class
+;;   (:fixed   code threshold amount) amount off when subtotal >= threshold
+;;   (:bundle  code sku n)            every nth unit of sku is free
+;;   (:member  code class pct-bps)    like :percent, members only
+;;
+;; A ruleset is a list of promo tuples. The discount a promo yields on a
+;; given cart is a pure integer computation (minor units); the *enumeration*
+;; of which promos apply is relational, so promo-applieso runs forward
+;; ("which codes apply and for how much?") and backward ("which code yields
+;; this discount?"). Stacking precedence is a separate layer (stack.sx).
+
+(define promo-kind (fn (p) (nth p 0)))
+(define promo-code (fn (p) (nth p 1)))
+
+;; Extended price of all lines whose sku is in product-class `class`.
+(define
+  class-extended
+  (fn
+    (ctx cart class)
+    (let
+      ((cat (ctx-catalog ctx)))
+      (reduce
+        (fn
+          (acc l)
+          (if
+            (= (catalog-class cat (line-sku l)) class)
+            (+ acc (line-extended cat l))
+            acc))
+        0
+        cart))))
+
+(define
+  sku-qty
+  (fn
+    (cart sku)
+    (reduce
+      (fn (acc l) (if (= (line-sku l) sku) (+ acc (line-qty l)) acc))
+      0
+      cart)))
+
+;; --- per-type discount amounts (pure, integer minor units) ---
+
+(define
+  percent-amount
+  (fn
+    (ctx cart p)
+    (apply-bps
+      (class-extended ctx cart (nth p 2))
+      (nth p 3))))
+
+(define
+  fixed-amount
+  (fn
+    (ctx cart p)
+    (let
+      ((sub (cart-subtotal (ctx-catalog ctx) cart)))
+      (if
+        (>= sub (nth p 2))
+        (min (nth p 3) sub)
+        0))))
+
+(define
+  bundle-amount
+  (fn
+    (ctx cart p)
+    (let
+      ((sku (nth p 2)) (n (nth p 3)))
+      (let
+        ((free (quotient (sku-qty cart sku) n)))
+        (* free (catalog-price (ctx-catalog ctx) sku))))))
+
+(define
+  member-amount
+  (fn
+    (ctx cart p)
+    (if
+      (= (get ctx :customer) :member)
+      (apply-bps
+        (class-extended ctx cart (nth p 2))
+        (nth p 3))
+      0)))
+
+;; Discount this promo yields on this cart (0 if it does not apply).
+(define
+  promo-amount
+  (fn
+    (ctx cart p)
+    (let
+      ((k (promo-kind p)))
+      (cond
+        ((= k :percent) (percent-amount ctx cart p))
+        ((= k :fixed) (fixed-amount ctx cart p))
+        ((= k :bundle) (bundle-amount ctx cart p))
+        ((= k :member) (member-amount ctx cart p))
+        (:else 0)))))
+
+;; --- relational enumeration ---
+
+;; (code, amount) for every promo in the ruleset (amount may be 0).
+(define
+  promo-discounto
+  (fn
+    (ctx cart ruleset code amount)
+    (fresh
+      (p)
+      (membero p ruleset)
+      (project
+        (p)
+        (== code (promo-code p))
+        (== amount (promo-amount ctx cart p))))))
+
+;; (code, amount) restricted to promos that actually apply (amount > 0).
+(define
+  promo-applieso
+  (fn
+    (ctx cart ruleset code amount)
+    (fresh
+      (p)
+      (membero p ruleset)
+      (project
+        (p)
+        (if
+          (> (promo-amount ctx cart p) 0)
+          (mk-conj
+            (== code (promo-code p))
+            (== amount (promo-amount ctx cart p)))
+          fail)))))
+
+;; --- deterministic helpers ---
+
+;; List of (list code amount) for applicable promos, in ruleset order.
+(define
+  applicable-promos
+  (fn
+    (ctx cart ruleset)
+    (run*
+      pair
+      (fresh
+        (code amount)
+        (promo-applieso ctx cart ruleset code amount)
+        (== pair (list code amount))))))
+
+;; Discount for one code (0 if absent / inapplicable).
+(define
+  promo-amount-for
+  (fn
+    (ctx cart ruleset code)
+    (let
+      ((rs (run 1 a (promo-applieso ctx cart ruleset code a))))
+      (if (empty? rs) 0 (first rs)))))