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1 (define (test-case actual expected)
2 (newline)
3 (display "Actual: ")
4 (display actual)
5 (newline)
6 (display "Expected: ")
7 (display expected)
8 (newline))
10 (define (accumulate op initial sequence)
11 (if (null? sequence)
12 initial
13 (op (car sequence)
14 (accumulate op initial (cdr sequence)))))
16 (define (horner-eval x coefficient-sequence)
17 (accumulate (lambda (coefficient remaining-horner)
18 (+ coefficient
19 (* x remaining-horner)))
20 0
21 coefficient-sequence))
23 ;; (test-case (horner-eval 0 '()) 0)
24 ;; (test-case (horner-eval 10 '()) 0)
25 ;; (test-case (horner-eval 0 '(1)) 1)
26 ;; (test-case (horner-eval 2 '(1 3 0 5 0 1)) 79)
27 ;; (test-case (horner-eval -1 '(2 4 1 1 8 3)) 3)
28 ;; (test-case (horner-eval 1.23 '(3 5 2 9 4)) 38.079068639999996)
30 ;; Exercise 2.35. Redefine count-leaves from section 2.2.2 as an accumulation:
32 (define (count-leaves t)
33 (accumulate + 0 (map (lambda (subtree)
34 (cond ((null? subtree) 0)
35 ((not (pair? subtree)) 1)
36 (else (count-leaves subtree))))
37 t)))
39 (test-case (count-leaves '()) 0)
40 (test-case (count-leaves '(((())) () (() (())))) 0)
41 (test-case (count-leaves '(2 3 0 9 8)) 5)
42 (test-case (count-leaves '((2) (1 (2 5 (8 (9) 3) 2)) 4)) 9)