Racket 将BNF语法转换为s表达式
我定义了一个名为Racket 将BNF语法转换为s表达式,racket,plai,Racket,Plai,我定义了一个名为msl #lang plai-typed (define-type msl [msl-num (n : number)] [msl-add (l : msl) (r : msl)] [msl-mul (l : msl) (r : msl)] [msl-sub (l : msl) (r : msl)] [msl-pow (l : msl) (r : msl)] [msl-error (s : string)] ) (define(** u t)
msl
#lang plai-typed
(define-type msl
[msl-num (n : number)]
[msl-add (l : msl) (r : msl)]
[msl-mul (l : msl) (r : msl)]
[msl-sub (l : msl) (r : msl)]
[msl-pow (l : msl) (r : msl)]
[msl-error (s : string)]
)
(define(** u t)
(cond
((= u 1) t)
(else
(* t(**(sub1 u) t)))))
(define (parse [s : s-expression]) : msl
(cond
[(s-exp-number? s) (msl-num (s-exp->number s))]
[(s-exp-list? s)
(let ([sl (s-exp->list s)])
(case (s-exp->symbol (first sl))
[(+) (msl-add (parse (second sl)) (parse (third sl)))]
[(*) (msl-mul (parse (second sl)) (parse (third sl)))]
[ (-) (msl-sub (parse (second sl)) (parse (third sl)))]
[ (**) (msl-pow (parse (second sl)) (parse (third sl))) ]
[else (error 'parse "invalid list input")]))]
[else (error 'parse "invalid input")]))
我有一个解析器函数,可以将s-expression
转换为msl
#lang plai-typed
(define-type msl
[msl-num (n : number)]
[msl-add (l : msl) (r : msl)]
[msl-mul (l : msl) (r : msl)]
[msl-sub (l : msl) (r : msl)]
[msl-pow (l : msl) (r : msl)]
[msl-error (s : string)]
)
(define(** u t)
(cond
((= u 1) t)
(else
(* t(**(sub1 u) t)))))
(define (parse [s : s-expression]) : msl
(cond
[(s-exp-number? s) (msl-num (s-exp->number s))]
[(s-exp-list? s)
(let ([sl (s-exp->list s)])
(case (s-exp->symbol (first sl))
[(+) (msl-add (parse (second sl)) (parse (third sl)))]
[(*) (msl-mul (parse (second sl)) (parse (third sl)))]
[ (-) (msl-sub (parse (second sl)) (parse (third sl)))]
[ (**) (msl-pow (parse (second sl)) (parse (third sl))) ]
[else (error 'parse "invalid list input")]))]
[else (error 'parse "invalid input")]))
我的问题是:如何将
msl
表达式转换为s-expression
?我是这门学科的初学者你绝对可以做到这一点
在我回答这个问题之前。。。你为什么要这样做?为了实现评估器,通常不需要这样做
话虽如此:这相当简单。我将首先编写一些测试用例:
(test (unparse (msl-add (msl-num 3) (msl-num 4))) '(+ 3 4))
。。。以及代码本身
;; convert an msl to an s-expression:
(define (unparse parsed)
(type-case msl parsed
[msl-num (n) ...]
...))
。。。等等如果这不合理,请告诉我