sicp 习题 2.21 ~ 2.25

本文提供了多个Scheme语言编程示例,包括定义平方函数、处理列表元素的递归与迭代方法、遍历列表等实用技巧,有助于理解函数式编程的核心概念。
2.21

(define nil '())

(define (square x)
(* x x))

(define (square-list items)
(if (null? items)
nil
(cons (square (car items)) (square-list (cdr items)))))

(define (square-list-map items)
(map (lambda (x) (square x)) items))

(square-list (list 1 2 3 4))

(square-list-map (list 1 2 3 4))


2.22

(define nil '())
(define (square x)
(* x x))

(define (square-list-iter items)
(define (iter things answer)
(if (null? things)
answer
(iter (cdr things)
(cons (square (car things))
answer))))
(iter items nil))

(define (square-list items)
(define (iter things answer)
(if (null? things)
answer
(iter (cdr things)
(cons answer
(square (car things))))))
(iter items nil))

(square-list-iter (list 1 2 3 4))
(square-list (list 1 2 3 4))


2.23

(define nil '())

(define (my-for-each proc items)
(if (not (null? items))
((lambda() (proc (car items))
(my-for-each proc (cdr items))))))

(my-for-each (lambda (x) (newline) (display x))
(list 57 321 88))


2.24

(list 1 (list 2 (list 3 4)))


2.25

(define x1 (list 1 3 (list 5 7) 9))

(define x2 (list (list 7)))

(define x3 (list 1 (list 2 (list 3 (list 4 (list 5 (list 6 7)))))))

(car (cdr (car (cdr (cdr x1)))))

(car (car x2))

(car (cdr (car (cdr (car (cdr (car (cdr (car (cdr (car (cdr x3))))))))))))
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