sicp习题试解 (1.39)

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; ======================================================================
;
; Structure and Interpretation of Computer Programs
; (trial answer to excercises)
;
; 计算机程序的构造和解释(习题试解)
;
; created: code17 03/06/05
; modified:
; (保持内容完整不变前提下,可以任意转载)
; ======================================================================


;; SICP No.1.39

(define (tan-cf x k)
(define (n i)
(if (= i 1) x (- (* x x))))
(define (d i) (- (* 2 i) 1))
(cont-frac n d k))


;; Test-it:
;; Welcome to MzScheme version 209, Copyright (c) 2004 PLT Scheme, Inc.
;; > (require (lib "math.ss"))
;; > (tan-cf (/ pi 4) 10)
;; 1.0
;; > (tan-cf (- (/ pi 4)) 10)
;; -1.0
;; > (tan-cf (/ pi 8) 10)
;; 0.41421356237309503
;; >

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