2.36
; The procedure accumulate-n is similar to accumulate except that it takes as its
; third argument a sequence of sequences, which are all assumed to have the same
; number of elements. It applies the designated accumulation procedure to combine
; all the first elements of the sequences, all the second elements of the sequences,
; and so on, and returns a sequence of the results. For instance, if s is a sequence
; containing four sequences, ((1 2 3) (4 5 6) (7 8 9) (10 11 12)), then the value
; of (accumulate-n + 0 s) should be the sequence (22 26 30). Fill in the missing
; expressions in the following definition of accumulate-n:
; (define (accumulate-n op init seqs)
; (if (null? (car seqs))
; nil
; (cons (accumulate op init ⟨??⟩)
; (accumulate-n op init ⟨??⟩))))
(define nil '())
(define (accumulate op initial sequence)
(if (null? sequence)
initial
(op (car sequence) (accumulate op initial (cdr sequence)))))
(define (accumulate-n op initial seqs)
(if (null? (car seqs))
nil
(cons (accumulate op initial (map car seqs))
(accumulate-n op initial (map cdr seqs)))))
(accumulate-n
+
0
(list (list 1 2 3) (list 4 5 6) (list 7 8 9) (list 10 11 12))) ; (22 26 30)