Talk:Hofstadter Figure-Figure sequences: Difference between revisions

Content added Content deleted
m (→‎timings for the REXX solutions: removed line break.)
(→‎timings for the REXX solutions: updated program and its timing, removed an old spurious timing.)
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I decided to go back and include the timings here as the REXX 2<sup>nd</sup> example's timings seemed a bit high.
I decided to go back and include the timings here as the REXX 2<sup>nd</sup> example's timings seemed a bit high.


<br>I didn't expect a difference of magnitude.
<br>I didn't expect a difference of three orders of magnitude.
<lang rexx>/*REXX pgm calculates & verifies the Hofstadter Figure-Figure sequences.*/
<lang rexx>/*REXX pgm calculates & verifies the Hofstadter Figure-Figure sequences.*/
call time 'Reset'
call time 'Reset'
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ffs: procedure expose r. s. rr.; parse arg n /*search for ¬null R│S #.*/
ffs: procedure expose r. s. rr.; parse arg n /*search for ¬null R│S #.*/
if s.n==0 then do k=1 for n /* [↓] 1st IF is a short circuit*/
if s.n==0 then do k=1 for n /* [↓] 1st IF is a short circuit*/
if s.k\==0 then if ffr(k)\==0 then iterate
if s.k\==0 then if r.k\==0 then iterate
call ffr k /*define R.k via FFR subroutine*/
km=k-1; _=s.km+1 /*the next S number, possibly. */
km=k-1; _=s.km+1 /*the next S number, possibly. */
_=_+rr._; s.k=_ /*define an element of S array.*/
_=_+rr._; s.k=_ /*define an element of S array.*/
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R(9) = 56 S(9) = 13
R(9) = 56 S(9) = 13
R(10) = 69 S(10) = 14
R(10) = 69 S(10) = 14
took 0.00 seconds.
took 0.22 seconds.


verification completed for all numbers from 1 ──► 1000 [inclusive].
verification completed for all numbers from 1 ──► 1000 [inclusive].
took 1.52 seconds.
</pre>
</pre>
The (above) example was run under Windows 7 on a HP box (3.2GHz) using Regina version 3.9.1.
The (above) example was run under Windows 7 on a HP box (3.2GHz) using Regina version 3.9.1.