From f863862d9cd1aeaea70a377ea8154d4dcd19ef46 Mon Sep 17 00:00:00 2001 From: bryan newbold Date: Wed, 12 Mar 2014 16:15:25 -0400 Subject: minimal 'little schemer' impl; to be deleted --- simple.scm | 255 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 255 insertions(+) create mode 100644 simple.scm diff --git a/simple.scm b/simple.scm new file mode 100644 index 0000000..448d4ee --- /dev/null +++ b/simple.scm @@ -0,0 +1,255 @@ + +; ### preliminaries, utilities +(define atom? + (lambda (x) + (and (not (pair? x)) (not (null? x))))) + +(define first + (lambda (p) (car p))) + +(define second + (lambda (p) (car (cdr p)))) + +(define build + (lambda (a b) (cons a (cons b (quote ()))))) + +(define third + (lambda (p) (car (cdr (cdr p))))) + +(define *const + (lambda (e table) + (cond + ((number? e) e) + ((eq? e #t) #t) + ((eq? e #f) #f) + (else (build (quote primitive) e))))) + +(define *lambda + (lambda (e table) + (build (quote non-primitive) (cons table (cdr e))))) + +(define *const + (lambda (e table) + (cond + ((number? e) e) + ((eq? e #t) #t) + ((eq? e #f) #f) + (else (build (quote primitive) e))))) + +(define *quote + (lambda (e table) + (text-of e))) + +(define *identifier + (lambda (e table) + (lookup-in-table e table initial-table))) + +(define *cond + (lambda (e table) + (evcon (cond-lines-of e) table))) + + +(define new-entry build) + +(define lookup-in-entry + (lambda (name entry entry-f) + (lookup-in-entry-help name + (first entry) + (second entry) + entry-f))) + +(define lookup-in-entry-help + (lambda (name names values entry-f) + (cond + ((null? names) (entry-f name)) + ((eq? (car names) name) (car values)) + (else (lookup-in-entry-help name (cdr names) (cdr values) entry-f))))) + +;(lookup-in-entry 'fish +; '((teach a man to fish) +; (1 2 3 4 5)) +; (lambda (x) x)) + +(define extend-table cons) + +(define lookup-in-table + (lambda (name table table-f) + (cond + ((null? table) (table-f name)) + (else (lookup-in-entry name + (car table) + (lambda (n) + (lookup-in-table n (cdr table) table-f))))))) + +;(lookup-in-table 'fish +; (extend-table '((teach a man to fish) +; (1 2 3 4 5)) +; (quote ())) +; (lambda (x) x)) + +(define atom-to-action + (lambda (e) + (cond + ((number? e) *const) + ((eq? e #t) *const) + ((eq? e #f) *const) + ((eq? e (quote cons)) *const) + ((eq? e (quote car)) *const) + ((eq? e (quote cdr)) *const) + ((eq? e (quote null?)) *const) + ((eq? e (quote eq?)) *const) + ((eq? e (quote atom?)) *const) + ((eq? e (quote zero?)) *const) + ((eq? e (quote add1)) *const) + ((eq? e (quote sub1)) *const) + ((eq? e (quote number?)) *const) + (else *identifier)))) + +;(atom-to-action 'number?); *const + +(define list-to-action + (lambda (e) + (cond + ((atom? (car e)) (cond + ((eq? (car e) (quote quote)) *quote) + ((eq? (car e) (quote lambda)) *lambda) + ((eq? (car e) (quote cond)) *cond) + (else *application))) + (else *application)))) + +;(list-to-action '(lambda (x) x)) ; *lambda +;(list-to-action '(cond ((eq? 1 2) #f) (else #t))) ; *cond + +(define expression-to-action + (lambda (e) + (cond + ((atom? e) (atom-to-action e)) + (else (list-to-action e))))) + +;(expression-to-action '#f) ; *const +;(expression-to-action '(lambda (x) x)) ; *lambda + +(define value + (lambda (e) + (meaning e (quote ())))) + +(define meaning + (lambda (e table) + ((expression-to-action e) e table))) + +;(*const 'asdf '()) ; (primitive asdf) + +(define text-of second) + +;(*quote '(quote stuff) '()) ; stuff + +; this will pass an error if called +(define initial-table + (lambda (name) + (car (quote ())))) + +;(*identifier 'asdf '()) ; error +;(*identifier 'a '( ((1 2 3 a b c) (first second third 1 2 3)))) ; 1 + +;(*lambda '(lambda (a b) (cond ((eq? a b) b) (else a))) '( ((1 2 3) (a b c)))) + +;(meaning '(lambda (x) (cons x y)) '(((y z) ((8) 9)))) +; (non-primative ((((y z) ((8) 9)))) (x) (cons x y)) + +(define table-of first) +(define formals-of second) +(define body-of third) +;(third '(a b c)) ; c + +(define evcon + (lambda (lines table) + (cond + ((else? (question-of (car lines))) + (meaning (answer-of (car lines)) table)) + ((meaning (question-of (car lines)) table) + (meaning (answer-of (car lines)) table)) + (else (evcon (cdr lines) table))))) + +(define else? + (lambda (x) + (cond + ((atom? x) (eq? x (quote else))) + (else #f)))) + +(define question-of first) +(define answer-of second) + +(define cond-lines-of cdr) + +(define evlis + (lambda (args table) + (cond + ((null? args) (quote ())) + (else (cons (meaning (car args) table) + (evlis (cdr args) table)))))) + +;(evlis '(cons #f 4) '()) ; ((primitive cons) #f 4) + +(define function-of car) +(define arguments-of cdr) + +(define *application + (lambda (e table) + (apply + (meaning (function-of e) table) + (evlis (arguments-of e) table)))) + +(define primitive? + (lambda (l) + (eq? (first l) (quote primitive)))) + +(define non-primitive? + (lambda (l) + (eq? (first l) (quote non-primitive)))) + +(define apply + (lambda (fun vals) + (cond + ((primitive? fun) (apply-primitive (second fun) vals)) + ((non-primitive? fun) (apply-closure (second fun) vals))))) + +; test functions +(define add1 (lambda (x) (+ x 1))) +(define sub1 (lambda (x) (- x 1))) + +(define apply-primitive + (lambda (name vals) + (cond + ((eq? name (quote cons)) (cons (first vals) (second vals))) + ((eq? name (quote car)) (car (first vals))) + ((eq? name (quote cdr)) (cdr (first vals))) + ((eq? name (quote null?)) (null? (first vals))) + ((eq? name (quote eq?)) (eq? (first vals) (second vals))) + ((eq? name (quote atom?)) (:atom? (first vals))) + ((eq? name (quote zero?)) (zero? (first vals))) + ((eq? name (quote add1)) (add1 (first vals))) + ((eq? name (quote sub1)) (sub1 (first vals))) + ((eq? name (quote number?)) (number? (first vals)))))) + +;(first '(a b)) +;(apply-primitive 'null? '(())) ; #t +;(*application '(null? 2) '()) ; #f +;(*application '(cdr (quote (a b))) '()) ; (b) +;(*application '(eq? 2 (add1 1)) '()) ; #t + +(define :atom? + (lambda (x) + (cond + ((atom? x) #t) + ((null? x) #f) + ((eq? (car x) (quote primitive)) #t) + ((eq? (car x) (quote non-primitive)) #t) + (else #f)))) + +(define apply-closure + (lambda (closure vals) + (meaning (body-of closure) + (extend-table (new-entry (formals-of closure) vals) + (table-of closure))))) + +;(value '((lambda (a b) (a (add1 b))) (lambda (c) (add1 c)) 4)) ; 6 -- cgit v1.2.3