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@Jeanhwea
Created August 3, 2017 16:54
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The Root of Lisp
;; http://www.paulgraham.com/rootsoflisp.html
;; ========================================
;; ATOM := [a-zA-Z]*
;; LIST := (EXPR1 EXPR2 ...)
;; EXPR := ATOM | LIST
;; EXPR
foo
()
(foo)
(foo bar)
(a b (c) d)
;; ========================================
;; quote, atom, eq, car, cdr, cons, cond
;; quote.
(quote a) ;=> a
'a ;=> a
(quote (a b c)) ;=> (a b c)
;; atomr. (t means true, nil means false)
(atom 'a) ;=> t
(atom '(a b c)) ;=> nil
(atom '()) ;=> t
;; --------------------
(atom (atom 'a)) ;=> t
(atom '(atom 'a)) ;=> nil, quote avoids to eval an EXPR
;; eq.
(eq 'a 'a) ;=> t
(eq 'a 'b) ;=> nil
(eq '() '()) ;=> t
;; car.
(car '(a b c)) ;=> a
;; cdr.
(cdr '(a b c)) ;=> (b c)
;; cons.
(cons 'a '(b c)) ;=> (a b c)
(cons 'a (cons 'b (cons 'c '()))) ;=> (a b c)
;; --------------------
(car (cons 'a '(b c))) ;=> a
(cdr (cons 'a '(b c))) ;=> (b c)
;; cond
(cond ((eq 'a 'b) 'first)
((atom 'a) 'second)) ;=> second
;; ========================================
;; lambda
((lambda (x) (cons x '(b))) 'a) ;=> (a b)
((lambda (x y) (cons x (cdr y)))
'z
'(a b c)) ;=> (z b c)
(subst 'm 'b '(a b (a b c) d)) ;=> (a m (a m c) d)
;; recursive
(defun hyq-subst (x y z)
(cond ((atom z)
(cond ((eq z y) x)
('t z)))
('t (cons (hyq-subst x y (car z))
(hyq-subst x y (cdr z))))))
(hyq-subst 'm 'b '(a b (a b c) d)) ;=> (a m (a m c) d)
;; cadr
(cadr '((a b) (c d) e)) ;=> (c d)
(caddr '((a b) (c d) e)) ;=> e
(cdar '((a b) (c d) e)) ;=> (b)
;; list
(cons 'a (cons 'b (cons 'c '()))) ;=> (a b c)
(list 'a 'b 'c) ;=> (a b c)
; The Lisp defined in McCarthy's 1960 paper, translated into CL.
; Assumes only quote, atom, eq, cons, car, cdr, cond.
; Bug reports to lispcode@paulgraham.com.
(defun null. (x)
(eq x '()))
(defun and. (x y)
(cond (x (cond (y 't) ('t '())))
('t '())))
(defun not. (x)
(cond (x '())
('t 't)))
(defun append. (x y)
(cond ((null. x) y)
('t (cons (car x) (append. (cdr x) y)))))
(defun list. (x y)
(cons x (cons y '())))
(defun pair. (x y)
(cond ((and. (null. x) (null. y)) '())
((and. (not. (atom x)) (not. (atom y)))
(cons (list. (car x) (car y))
(pair. (cdr x) (cdr y))))))
(defun assoc. (x y)
(cond ((eq (caar y) x) (cadar y))
('t (assoc. x (cdr y)))))
(defun eval. (e a)
(cond
((atom e) (assoc. e a))
((atom (car e))
(cond
((eq (car e) 'quote) (cadr e))
((eq (car e) 'atom) (atom (eval. (cadr e) a)))
((eq (car e) 'eq) (eq (eval. (cadr e) a)
(eval. (caddr e) a)))
((eq (car e) 'car) (car (eval. (cadr e) a)))
((eq (car e) 'cdr) (cdr (eval. (cadr e) a)))
((eq (car e) 'cons) (cons (eval. (cadr e) a)
(eval. (caddr e) a)))
((eq (car e) 'cond) (evcon. (cdr e) a))
('t (eval. (cons (assoc. (car e) a)
(cdr e))
a))))
((eq (caar e) 'label)
(eval. (cons (caddar e) (cdr e))
(cons (list. (cadar e) (car e)) a)))
((eq (caar e) 'lambda)
(eval. (caddar e)
(append. (pair. (cadar e) (evlis. (cdr e) a))
a)))))
(defun evcon. (c a)
(cond ((eval. (caar c) a)
(eval. (cadar c) a))
('t (evcon. (cdr c) a))))
(defun evlis. (m a)
(cond ((null. m) '())
('t (cons (eval. (car m) a)
(evlis. (cdr m) a)))))
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