Created
June 30, 2017 09:51
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Squareroot in Lisp en Red
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; https://repl.it/languages/scheme | |
(define (abs x) | |
(cond ((> x 0) x) | |
((= x 0) 0) | |
((< x 0) (- x)))) | |
(define (average x y) | |
(/ (+ x y) 2)) | |
(define (square x) (* x x)) | |
(define (improve guess x) | |
(average guess (/ x guess))) | |
(define (good-enough? guess x) | |
(< (abs (- (square guess) x)) 0.001)) | |
(define (new-if predicate then-clause else-clause) | |
(cond (predicate then-clause) | |
(else else-clause))) | |
(define (sqrt-iter guess x) | |
(if (good-enough? guess x) | |
guess | |
(sqrt-iter (improve guess x) | |
x))) | |
(define (sqrt x) | |
(sqrt-iter 1.0 x)) | |
(sqrt 3) | |
; met new-if eindeloze lus. | |
; nu in Red | |
abs: function [ | |
x | |
][ | |
case [ | |
(x > 0) [return x] | |
(x = 0) [return 0] | |
(x < 0) [return negate x] | |
] | |
] | |
average: function [ | |
x y | |
][ | |
(x + y) / 2 | |
] | |
square: function [ | |
x | |
][ | |
x * x | |
] | |
improve: function [ | |
guess x | |
][ | |
average guess (x / guess) | |
] | |
good-enough?: function [ | |
guess x | |
][ | |
(abs ((square guess) - x)) < 0.001 | |
] | |
sqrt-iter: function [ | |
guess x | |
][ | |
print guess | |
either good-enough? guess x [ | |
guess | |
][ | |
sqrt-iter (improve guess x) x | |
] | |
] | |
sqrt2: function [ | |
x | |
][ | |
sqrt-iter 1.0 x | |
] |
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