2015/10/26

SICP 問題 2.58

;; a
(define (make-sum a1 a2)
  (cond ((=number? a1 0) a2)
        ((=number? a2 0) a1)
        ((and (number? a1) (number? a2)) (+ a1 a2))
        (else (list a1 '+ a2))))

(define (make-product m1 m2)
  (cond ((or (=number? m1 0) (=number? m2 0)) 0)
        ((=number? m1 1) m2)
        ((=number? m2 1) m1)
        ((and (number? m1) (number? m2)) (* m1 m2))
        (else (list m1 '* m2))))

(define (sum? x)
  (and (pair? x) (eq? (cadr x) '+)))

(define (addend s) (car s))

(define (product? x)
  (and (pair? x) (eq? (cadr x) '*)))

(define (multiplier p) (car p))

(define (exponentiation? x)
  (and (pair? x) (eq? (cadr x) '**)))

(define (base x)
  (car x))

(define (make-exponentiation b e)
  (cond ((=number? e 0) 1)
        ((=number? e 1) b)
        ((and (number? b) (number? e) (expt b e)))
        (else (list b '** e))))


;; b
; パス

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