計算機プログラムの構造と解釈[第2版]
(翔泳社)
ハロルド エイブルソン (著) ジュリー サスマン (著)
ジェラルド・ジェイ サスマン (著)
Harold Abelson (原著) Julie Sussman (原著)
Gerald Jay Sussman (原著) 和田 英一 (翻訳)
開発環境
- OS X Mavericks - Apple(OS)
- Emacs (CUI)、BBEdit - Bare Bones Software, Inc. (GUI) (Text Editor)
- Scheme (プログラミング言語)
- Gauche (処理系)
計算機プログラムの構造と解釈[第2版](ハロルド エイブルソン (著)、ジュリー サスマン (著)、ジェラルド・ジェイ サスマン (著)、Harold Abelson (原著)、Julie Sussman (原著)、Gerald Jay Sussman (原著)、和田 英一 (翻訳)、翔泳社、原書: Structure and Interpretation of Computer Programs (MIT Electrical Engineering and Computer Science)(SICP))の4(超言語的抽象)、4.1(超循環評価器)、4.1.2(式の表現)、導出された式、問題 4.4.を解いてみる。
その他参考書籍
- Instructor's Manual to Accompany Structure & Interpretation of Computer Programs
- プログラミングGauche (Kahuaプロジェクト (著), 川合 史朗 (監修), オライリージャパン)
問題 4.4.
コード(BBEdit, Emacs)
sample4.scm
#!/usr/bin/env gosh
;; -*- coding: utf-8 -*-
(define (eval exp env)
(define (self-evaluating? exp)
(cond ((number? exp) #t)
((string? exp) #t)
(else #f)))
(define (variable? exp) (symbol? exp))
(define (application? exp) (pair? exp))
(define (operator exp) (car exp))
(define (operands exp) (cdr exp))
(define (no-operands? ops) (null? ops))
(define (first-operand ops) (car ops))
(define (rest-operands ops) (cdr ops))
(cond ((self-evaluating? exp) exp)
((variable? exp) (lookup-variable-value exp env))
((get (car exp))
((get (car exp)) exp env))
((application? exp)
(apply (eval (operator exp) env)
(list-of-values (operands exp) env)))
(else
(error "Unknown expression type -- EVAL" exp))))
(define (apply procedure arguments)
(cond ((primitive-procedure? procedure)
(apply-primitive-procedure procedure arguments))
((compound-procedure? procedure)
(eval-sequence
(procedure-body procedure)
(extend-environment
(procedure-parameters procedure)
arguments
(procedure-environment procedure))))
(else
(error
"Unknown procedure type -- APPLY" procedure))))
(define (install-quoted-package)
(define (text-of-quotation exp env) (cadr exp))
(put 'quote text-of-quotation))
(define (install-assignment-package)
(define (eval-assignment exp env)
(set-variable-value! (assignment-variable exp)
(eval (assignment-value exp) env)
env)
'ok)
(define (assignment-variable exp) (cadr exp))
(define (assignment-value exp) (caddr exp))
(put 'set! eval-assignment))
(define (install-definition-package)
(define (eval-definition exp env)
(define-variable! (definition-variable exp)
(eval (definition-value exp) env)
env)
'ok)
(define (definition-variable exp)
(if (symbol? (cadr exp))
(cadr exp)
(caadr exp)))
(define (definition-value exp)
(if (symbol? (cadr exp))
(caddr exp)
(make-lambda (cdadr exp)
(cddr exp))))
(define make-lambda (get 'make-lambda))
(put 'define eval-definition))
(define (install-if-package)
(define (eval-if exp env)
(if (true? (eval (if-predicate exp) env))
(eval (if-consequent exp) env)
(eval (if-alternative exp) env)))
(define (true? a) (eq? a #t))
(define (if-predicate exp) (cadr exp))
(define (if-consequent exp) (caddr exp))
(define (if-alternative exp)
(if (not (null? (cdddr exp)))
(cadddr exp)
#f))
(define (make-if predicate consequent alternative)
(list 'if predicate consequent alternative))
(put 'make-if make-if)
(put 'if eval-if))
(define (install-lambda-package)
(define (lambda-parameters exp) (cadr exp))
(define (lambda-body exp) (cddr exp))
(define (make-lambda parameters body)
(cons 'lambda (cons parameters body)))
(put 'make-lambda make-lambda)
(put 'lambda (lambda (exp env)
(make-procedure (lambda-parameters exp)
(lambda-body exp)
env))))
(define (install-begin-package)
(define (eval-sequence exps env)
(cond ((last-exp? exps) (eval (first-exp exps) env))
(else (eval (first-exp exps) env)
(eval-sequence (rest-exps exps) env))))
(define (begin-actions exp) (cdr exp))
(define (last-exp? seq) (null? (cdr seq)))
(define (first-exp seq) (car seq))
(define (rest-seq) (cdr seq))
(define (sequence->exp seq)
(cond ((null? seq) seq)
((last-exp? seq) (first-exp seq))
(else (make-begin seq))))
(define (make-begin seq) (cons 'begin seq))
(put 'sequence->exp sequence->exp)
(put 'begin (lambda (exp env)
(eval-sequence (begin-actions exp) env))))
(define (instll-cond-package)
(define (cond-clauses exp) (cdr exp))
(define (cond-else-clause? clause)
(eq? (cond-predicate clause) 'else))
(define (cond-predicate clause) (car clause))
(define (cond-actions clause) (cdr clause))
(define (cond->if exp)
(expand-clauses (cond-clauses exp)))
(define (expand-clauses clauses)
(if (null? clauses)
'false
(let ((first (car clauses))
(rest (cdr clauses)))
(if (cond-else-clause? first)
(if (null? rest)
(sequence->exp (cond-actions first))
(error "ELSE clause isn't last -- COND->IF"
clauses))
(make-if (cond-predicate first)
(sequence->exp (cond-actions first))
(expand-clauses rest))))))
(define sequence->exp (get 'sequence->exp))
(define make-if (get 'make-if))
(put 'cond (lambda (exp env)
(eval (cond->if exp) env))))
;; 問題 4.4
(define (install-and-package)
(define (eval-and exp env)
(if (null? (cdr exp))
#t
(eval-sequence (cdr seq) env)))
(define (eval-sequence seq env)
(cond ((null? (cdr seq))
(if (eval (car seq) env)
(car seq)
#f))
((eval (car seq) env)
(eval-sequence (cdr seq) env))
(else #f)))
(put 'and eval-and))
(define (install-or-package)
(define (eval-or exp env)
(if (null? (cdr exp))
#f
(eval-sequence (cdr seq) env)))
(define (eval-sequence seq env)
(cond ((null? seq) #f)
((eval (car seq) env) (car seq))
(else
(eval-sequence (cdr seq) env))))
(put 'or 'eval-or))
;; 導出された式として評価する方法
;; (define (intall-and-package)
;; (define make-if (get 'make-if))
;; (define (eval-and exp env)
;; (if (null? (cdr exp))
;; #t
;; (eval-sequence (cdr exp) env)))
;; (define (eval-sequence seq env)
;; (make-if (null? (cdr seq))
;; (make-if (eval (car seq) env)
;; (car seq)
;; #f)
;; (make-if (eval (car seq) env)
;; (eval-sequence (cdr seq) env)
;; #f)))
;; (put 'and eval-and))
;; (define (install-or-package)
;; (define make-if (get 'make-if))
;; (define (eval-or exp env)
;; (make-if (null? (cdr exp))
;; #f
;; (eval-sequence (cdr exp) env)))
;; (define (eval-sequence seq env)
;; (make-if (null? seq)
;; #f
;; (make-if (eval (car seq) env)
;; (car seq)
;; (eval-sequence (cdr seq) env))))
;; (put 'or eval-or))
入出力結果(Terminal(gosh), REPL(Read, Eval, Print, Loop))
$ ./sample4.scm $
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