bisekcja

gistfile1.scm

(define (average a b)
  (/ (+ a b) 2))

(define (close-enough? x y)
  (< (abs (- x y)) 0.01))

(define (search f neg-point pos-point)
  (let ((midpoint (average neg-point pos-point)))
    (if (close-enough? neg-point pos-point)
       midpoint
       (let ((test-value (f midpoint)))
         (cond ((positive? test-value)
             (search f neg-point midpoint))
            ((negative? test-value)
             (search f midpoint pos-point))
            (else midpoint))))))


(define (half-interval-method f a b)
  (let ((a-value (f a))
       (b-value (f b)))
    (cond ((and (negative? a-value) (positive? b-value))
       (search f a b))
      ((and (negative? b-value) (positive? a-value))
       (search f b a))
    (else 
      (print "Wartosci funkcji nie maja przeciwnych znakow:" a b)))))