Accumulate

collection_operations.scm

; 2.33

(define (accumulate op initial items) ; accumulate also referred to as "reduce"
  (if (null? items)
      initial
      (op (car items) (accumulate op initial (cdr items)))))

; Defining collection operations in terms of accumulate

(define (append seq1 seq2)
  (accumulate cons seq2 seq1))

(define (map proc items)
  (accumulate (lambda (x y) (cons (proc x) y)) '() items))

(define (filter proc items)
  (accumulate (lambda (x y) (if (proc x) (cons x y) y)) '() items))