#lang eopl

;; grammar for the CHECKED language

(provide (all-defined-out))

;;;;;;;;;;;;;;;; grammatical specification ;;;;;;;;;;;;;;;;

(define the-lexical-spec
  '((whitespace (whitespace) skip)
    (comment ("%" (arbno (not #\newline))) skip)
    (identifier
     (letter (arbno (or letter digit "_" "-" "?")))
     symbol)
    (number (digit (arbno digit)) number)
    (number ("-" digit (arbno digit)) number)
    ))

(define the-grammar
  '((program (expression) a-program)
    
    (expression (number) const-exp)
    (expression
     ("-" "(" expression "," expression ")")
     diff-exp)
    
    (expression
     ("zero?" "(" expression ")")
     zero?-exp)
    
    (expression
     ("if" expression "then" expression "else" expression)
     if-exp)
    
    (expression (identifier) var-exp)
    
    (expression
     ("let" identifier "=" expression "in" expression)
     let-exp)   
    
    (expression
     ("proc" "(" identifier ":" type ")" expression)
     proc-exp)
    
    (expression
     ("(" expression expression ")")
     call-exp)
    
    (expression
     ("letrec"
      type identifier "(" identifier ":" type ")" "=" expression
      "in" expression)
     letrec-exp)
    
    (type
     ("int")
     int-type)
    
    (type
     ("bool")
     bool-type)
    
    (type
     ("(" type "->" type ")")
     proc-type)
    
    ))

;;;;;;;;;;;;;;;; sllgen boilerplate ;;;;;;;;;;;;;;;;

(sllgen:make-define-datatypes the-lexical-spec the-grammar)

(define show-the-datatypes
  (lambda () (sllgen:list-define-datatypes the-lexical-spec the-grammar)))

(define scan&parse
  (sllgen:make-string-parser the-lexical-spec the-grammar))

(define just-scan
  (sllgen:make-string-scanner the-lexical-spec the-grammar))

;;;;;;;;;;;;;;;; type-to-external-form ;;;;;;;;;;;;;;;;

;; type-to-external-form : Type -> List
;; Page: 243
(define type-to-external-form
  (lambda (ty)
    (cases type ty
      (int-type () 'int)
      (bool-type () 'bool)
      (proc-type (arg-type result-type)
                 (list
                  (type-to-external-form arg-type)
                  '->
                  (type-to-external-form result-type))))))