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This One's a Sieve

by Schmunzie (Sexton)
on Mar 31, 2015 at 15:17 UTC ( #1122008=obfuscated: print w/replies, xml ) Need Help??

hdb recently pointed out that I had misremembered how the Sieve of Eratosthenes works so now I'm having another go. Not all that obfu'd but moderately golfed.


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Re: This One's a Sieve
by Athanasius (Chancellor) on Apr 01, 2015 at 15:27 UTC

    Nice! But the pedant in me feels compelled to point out that for a 35% increase in length, this obfu can be made significantly more time-efficient:

    $m=250;print 2;for($b=3;$b<=$m;$b+=2){if(!$d[$a]){for($a=$b*$b;$a<=$m; +$a+=$b){$c[$a]=1}}print",$b"}

    The speed increase is negligible for low values of $m, but for large value it becomes significant (e.g. an increase of nearly 8 times in speed for $m equal to ten million):

    But note that this version is still inefficient. See johngg’s recent post: Re^3: Number functions I have lying around, which saves on (1) cpu time by iterating only up to sqrt($m), and (2) memory by storing the sieve in a bit vector.

    Hope this is of interest,

    Athanasius <°(((><contra mundum Iustus alius egestas vitae, eros Piratica,

      Or better yet, one of the sieves shown on RosettaCode, which are 2.5 to 8 times faster than the johngg sieve.

        Still better, the version that's idiomatic, clean, and more performant than anything on RosettaCode at the present time.

Re: This One's a Sieve
by ambrus (Abbot) on Apr 02, 2015 at 10:45 UTC
Re: This One's a Sieve
by Grimy (Pilgrim) on May 07, 2015 at 14:56 UTC

    Oh, is it golf?


    Somewhat slower than the original, but 42 characters =p

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