CS4613/Labs/07.rkt

50 lines
1.5 KiB
Racket

#lang typed/racket
(require (rename-in typed/rackunit [check-equal? test])
(only-in typed/rackunit check-exn))
(define-syntax-rule (test/exn expr msg)
(check-exn exn:fail? (lambda () expr) msg))
(define (msg0 [obj : Node] [selector : Symbol]) (obj selector))
(define (node [v : Number] [l : Node] [r : Node]) : Node
(lambda (m)
(case m
[(value) v]
[(left) l]
[(right) r]
[(sum) (+ v (+ (msg-num l 'sum) (msg-num r 'sum)))]
[else (error 'node (symbol->string m))])))
(define (mt)
(lambda ([m : Symbol])
(case m
[(sum) 0]
[else (error 'mt (symbol->string m))])))
(define-type Node (Symbol -> (U (U Number Node) Zero)))
(define (msg-num [obj : Node] [selector : Symbol]) : Number
(define result (msg0 obj selector))
(cond
[(number? result) result]
[else (error 'msg-num "Expected a number message")]))
(define (msg-node [obj : Node] [selector : Symbol]) : Node
(define result (msg0 obj selector))
(cond
[(not (number? result)) result]
[else (error 'msg-node "Expected a node message")]))
(module+ test
(define tree1 (node 1 (mt) (mt)))
(test (msg0 tree1 'sum) 1)
(test (msg0 tree1 'value) 1)
(define tree2 (node 1 (node 2 (mt) (mt)) (mt)))
(test (msg0 tree2 'value) 1)
(test (msg0 (msg-node tree2 'left) 'value) 2)
(test (msg0 (msg-node tree2 'right) 'sum) 0)
(test/exn (msg0 (mt) 'left) "left")
(test/exn (msg0 tree2 'wrong) "wrong")
(test/exn (msg-num tree2 'left) "number")
(test/exn (msg-node tree2 'value) "node"))