Continuation Passing Style
April 3, 2018
Following the Wikipedia article, we give the continuation passing style version of a function to compute the hypotenuse of a right triangle using the Pythagorean theorem; here are normal and continuation passing style versions:
(define (pyth x y) (sqrt (+ (* x x) (* y y))))
(define (pyth& x y k)
((cps *) x x (lambda (x2)
((cps *) y y (lambda (y2)
((cps +) x2 y2 (lambda (x2+y2)
((cps sqrt) x2+y2 k))))))))
> (pyth& 3 4 (lambda (x) x)) 5
You can run the program at https://ideone.com/kPFH79.
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