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fib.lisp

 1 ; Copyright (c) 2008 the authors listed at the following URL, and/or
 2 ; the authors of referenced articles or incorporated external code:
 3 ; http://en.literateprograms.org/Fibonacci_numbers_(Lisp)?action=history&offset=20081025104812
 4 ; 
 5 ; Permission is hereby granted, free of charge, to any person obtaining
 6 ; a copy of this software and associated documentation files (the
 7 ; "Software"), to deal in the Software without restriction, including
 8 ; without limitation the rights to use, copy, modify, merge, publish,
 9 ; distribute, sublicense, and/or sell copies of the Software, and to
10 ; permit persons to whom the Software is furnished to do so, subject to
11 ; the following conditions:
12 ; 
13 ; The above copyright notice and this permission notice shall be
14 ; included in all copies or substantial portions of the Software.
15 ; 
16 ; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
17 ; EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
18 ; MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
19 ; IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
20 ; CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
21 ; TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
22 ; SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
23 ; 
24 ; Retrieved from: http://en.literateprograms.org/Fibonacci_numbers_(Lisp)?oldid=15288
25 
26 (defun fib (n)
27   "Simple recursive Fibonacci number function"
28   (if (< n 2)
29     n
30     (+ (fib (- n 1)) (fib (- n 2)))))
31 
32 (defun fib-trec (n)
33   "Tail-recursive Fibonacci number function"
34   (labels ((calc-fib (n a b)
35                      (if (= n 0)
36                        a
37                        (calc-fib (- n 1) b (+ a b)))))
38     (calc-fib n 0 1)))
39 
40 (defun printfib (start end)
41   (format t "(fib-trec ~D)=~D~%" start (fib-trec start))
42   (if (< start end)
43     (printfib (+ start 1) end)))
44 
45 (printfib 1 30)
46 
47 


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