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+(module (algebraic-structures private list applicative) ()
+ (import scheme
+ (only (srfi 1) append! reverse!)
+ (only (chicken base) assert cut)
+ (only matchable match)
+ (chicken module))
+ (export pure map2)
+ (reexport (algebraic-structures list functor))
+
+ (define (pure x) (list x))
+
+ (define (rev-map f lst)
+ (let loop ((lst lst)
+ (acc '()))
+ (match lst
+ [() acc]
+ [(h . t)
+ (loop t (cons (f h) acc))])))
+
+ (define (product op lst1 lst2)
+ (let loop ((lst lst1)
+ (acc '()))
+ (match lst
+ [() (reverse! acc)]
+ [(h . t)
+ (loop t
+ (append! (rev-map (cut op h <>) lst2)
+ acc))])))
+
+ (define map2 product))