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shift-proportions


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;;; CODE
            
(defun shift-proportions (integer-seq  shift &key (type 'primes))
  (let ((number-seq))
    (progn 
      (setf number-seq (cond ((equal type 'primes)
                              (primes 30))
                             ((equal type 'fibonacci)
                              (fibonacci 1 20))
                             ((equal type 'decimal)
                              (gen-integer-step 1 200 1))))
      (setf number-seq (append (reverse (neg! number-seq)) number-seq))
      (loop for i in integer-seq
        when (> i 0)
        collect (nth (+ (car (position-item i number-seq)) shift) number-seq)
        else collect (nth (- (car (position-item i number-seq)) shift) number-seq)))))


;;; EXAMPLE => the integer-seq must include only values from ":type"-system

(shift-proportions '(1 2 3 4 5 -3 2 -1 3 -8) 1 :type 'decimal)
=> (2 3 4 5 6 -4 3 -2 4 -9)
(shift-proportions '(1 2 -13 4 5 -3 2 -1 3 -8) 8 :type 'decimal)
=> (9 10 -21 12 13 -11 10 -9 11 -16)


(shift-proportions '(3 5 -17 -11 23) 1 :type 'primes)
=> (5 7 -19 -13 29)
(shift-proportions '(3 5 -17 -11 23) 5 :type 'primes)
=> (17 19 -37 -29 43)


(shift-proportions '(-5 55 -34 233 -89) 1 :type 'fibonacci)
=> (-8 89 -55 377 -144)
(shift-proportions '(-5 55 -34 233 -89) 3 :type 'fibonacci)
=> (-21 233 -144 987 -377)

 

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