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use it or not... greetings andré ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; count-up/down => not well coded but it works ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; A FUNCTION which counts a integer-list from its values (individual) ;;; to value B (all the same end-value :to (default is 1)) ;;; n => how many output values (approx: depends on input/round... was not important for my project) ;;; up or down (default is 'down) ;;; with variabel STEPS => sequencieally (horizontal) or with steps for each value individiual (vertical) ;;; with COUNT => means how many lists with same values (like "global-steps") ;;; SUB (defun round-to (number precision &optional (what #'round)) (let ((div (expt 10 precision))) (/ (funcall what (* number div)) div))) ;;; MAIN (defun count-up/down (n intlist &key (steps '(1)) (count 1) (type 'horizontal) (direction 'down) (to 1)) (let* ((cycles (round-to (/ (1- n) (length intlist)) 0)) (intlists (cond ((equal type 'horizontal) (loop repeat cycles for cnt = 0 then (incf cnt) for stp in (if (< (length steps) cycles) (filter-first cycles (flatten (gen-repeat cycles steps))) steps) when (= cnt 0) append (loop repeat count collect intlist) when (integerp (/ cnt count)) collect (setf intlist (if (equal direction 'down) (loop for i in intlist when (>= (- i stp) to) collect (- i stp) else collect to) (loop for i in intlist when (<= (+ i stp) to) collect (+ i stp) else collect to))) else collect intlist)) ((equal type 'vertical) (loop repeat cycles for cnt = 0 then (incf cnt) when (= cnt 0) append (loop repeat count collect intlist) when (integerp (/ cnt count)) collect (setf intlist (if (equal direction 'down) (loop for i in intlist for stp in steps when (>= (- i stp) to) collect (- i stp) else collect to) (loop for i in intlist for stp in steps when (<= (+ i stp) to) collect (+ i stp) else collect to))) else collect intlist))))) (loop repeat cycles for x in intlists collect x))) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; SIMPLE EXAMPLES ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 9 8 7 6 7) :to 3 :direction 'down)) :join-points t) => ((9 8 7 6 7 9 8 7 6 7) (8 7 6 5 6 8 7 6 5 6) (7 6 5 4 5 7 6 5 4 5) (6 5 4 3 4 6 5 4 3 4) (5 4 3 3 3 5 4 3 3 3) (4 3 3 3 3 4 3 3 3 3) (3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3) (3 3 3 3 3 3 3 3 3 3)) (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 9 8 7 6 7) :count 2 :to 5 :direction 'down)) :join-points t) => ((9 8 7 6 7 9 8 7 6 7) (9 8 7 6 7 9 8 7 6 7) (8 7 6 5 6 8 7 6 5 6) (8 7 6 5 6 8 7 6 5 6) (7 6 5 5 5 7 6 5 5 5) (7 6 5 5 5 7 6 5 5 5) (6 5 5 5 5 6 5 5 5 5) (6 5 5 5 5 6 5 5 5 5) (5 5 5 5 5 5 5 5 5 5) (5 5 5 5 5 5 5 5 5 5)) (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 9 8 7 6 7) :to 15 :direction 'up)) :join-points t) => ((9 8 7 6 7 9 8 7 6 7) (10 9 8 7 8 10 9 8 7 8) (11 10 9 8 9 11 10 9 8 9) (12 11 10 9 10 12 11 10 9 10) (13 12 11 10 11 13 12 11 10 11) (14 13 12 11 12 14 13 12 11 12) (15 14 13 12 13 15 14 13 12 13) (15 15 14 13 14 15 15 14 13 14) (15 15 15 14 15 15 15 15 14 15) (15 15 15 15 15 15 15 15 15 15)) (list-plot (flatten (count-up/down 200 '(9 8 7 6 7 9 8 7 6 7) :count 2 :to 15 :direction 'up)) :join-points t) => ((9 8 7 6 7 9 8 7 6 7) (9 8 7 6 7 9 8 7 6 7) (10 9 8 7 8 10 9 8 7 8) (10 9 8 7 8 10 9 8 7 8) (11 10 9 8 9 11 10 9 8 9) (11 10 9 8 9 11 10 9 8 9) (12 11 10 9 10 12 11 10 9 10) (12 11 10 9 10 12 11 10 9 10) (13 12 11 10 11 13 12 11 10 11) (13 12 11 10 11 13 12 11 10 11) (14 13 12 11 12 14 13 12 11 12) (14 13 12 11 12 14 13 12 11 12) (15 14 13 12 13 15 14 13 12 13) (15 14 13 12 13 15 14 13 12 13) (15 15 14 13 14 15 15 14 13 14) (15 15 14 13 14 15 15 14 13 14) (15 15 15 14 15 15 15 15 14 15) (15 15 15 14 15 15 15 15 14 15) (15 15 15 15 15 15 15 15 15 15) (15 15 15 15 15 15 15 15 15 15)) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; MORE COMPLEX/INTERESTING EXAMPLES ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; horizontal means every cycle has a new step-value (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 15 8 7 6 7) :steps '(1 2 1 1 1 1 1 1 1 1) :type 'horizontal :to 2)) :join-points t) => ((9 8 7 6 7 15 8 7 6 7) (8 7 6 5 6 14 7 6 5 6) (6 5 4 3 4 12 5 4 3 4) (5 4 3 2 3 11 4 3 2 3) (4 3 2 2 2 10 3 2 2 2) (3 2 2 2 2 9 2 2 2 2) (2 2 2 2 2 8 2 2 2 2) (2 2 2 2 2 7 2 2 2 2) (2 2 2 2 2 6 2 2 2 2) (2 2 2 2 2 5 2 2 2 2)) ;; vertical means every value has its individual step (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 30 8 7 6 7) :steps '(1 2 1 1 1 5 1 1 1 1) :type 'vertical :to 2)) :join-points t) => ((9 8 7 6 7 30 8 7 6 7) (8 6 6 5 6 25 7 6 5 6) (7 4 5 4 5 20 6 5 4 5) (6 2 4 3 4 15 5 4 3 4) (5 2 3 2 3 10 4 3 2 3) (4 2 2 2 2 5 3 2 2 2) (3 2 2 2 2 2 2 2 2 2) (2 2 2 2 2 2 2 2 2 2) (2 2 2 2 2 2 2 2 2 2) (2 2 2 2 2 2 2 2 2 2)) (list-plot (flatten (count-up/down 100 '(9 8 7 6 7 30 8 7 6 7) :steps '(1 2 1 3 1 5 3 1 2 1) :type 'vertical :to 1)) :join-points t) could be extended: would be nice if the END-VALUE (:to) would/could be also "in between" the start values... start '(6 7 5 1 2 3 9 19) => :to 4 => values incf, and decf to 4
