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August 12, 2019 16:24
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Find square-root using Newton method in Scheme
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(define (average x y) | |
(* (+ x y) 0.5)) | |
(define (good_enough? guess x) | |
(< (abs (- x (* guess guess))) 0.001)) | |
(define (improve guess x) | |
(average guess (/ x guess))) | |
(define (sqrt_itr guess x) | |
(if (good_enough? guess x) | |
guess | |
(sqrt_itr (improve guess x) x))) | |
(define (newton_sqrt x) | |
(sqrt_itr 1.0 x)) | |
; use MIT-Scheme to test codes above | |
; $ scheme | |
; > (cf "newton_sqrt") | |
; > (load "newton_sqrt.scm") | |
; > (newton_sqrt 4.0) | |
; ;Value: 2.0000000929222947 | |
; > (newton_sqrt 1000.0) | |
; ;Value: 31.622782450701045 |
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