Let's say we're talking 10**66 different JAPHs. The Universe is projected to live a total of roughly 30 billion years, or 3E10**10. That means the Universe will live (roughly!) 3E10**10 * 365 * 86400, or 10**18 seconds (with a little hand-waving in there to get a nice number). That means you would have to generate 10**48 JAPHS per second, starting at the Big Bang!, to get there. In case you're missing the point further, that's

1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

JAPHs per second. Or, the number of seconds the Universe is project to live . . . to the third power.

Now, let's take Moore's Law. Let's say that it takes an average of a billion floating-point operations to test a random Perl script against /^Just another Perl hacker[,\n]$/. (We'll leave out, for a second, those that enter an infinite loop.) That means, currently, IBM's BlueGene/L computer (currently the fastest in the world at 92 teraflops) can do, roughly, 10**8 JAPHs per second. That's pretty good!

Let's assume Moore's Law holds and computing power doubles every 18 months. (We'll leave aside the cost issues.) Assuming the Universe will live for another 15 billion years, that means that the computing power will multiplied by 2 ** (10**10). Now, it's a close approximation that 2**10 == 10**3. So:

2**(10**10) ==> (2**10)**(10**9)
            ==> (10**3)**(10**9)
            ==> 10**(3*10**9)
            ~~> 10**(10**9.3)
That means that the current 10**8/second will go up to roughly 10 ** (10**9.3 * 8) or, roughly, 10 ** (10 **10.2) / second - well above the projected 10**66 total JAPHs. So, yes, Moore's Law applied to BlueGene/L will handle the number of projected 4x80 JAPHs before the Universe dies. :-)

Being right, does not endow the right to be rude; politeness costs nothing.
Being unknowing, is not the same as being stupid.
Expressing a contrary opinion, whether to the individual or the group, is more often a sign of deeper thought than of cantankerous belligerence.
Do not mistake your goals as the only goals; your opinion as the only opinion; your confidence as correctness. Saying you know better is not the same as explaining you know better.


In reply to Re^5: Infinite JAPHs? by dragonchild
in thread Infinite JAPHs? by NateTut

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post; it's "PerlMonks-approved HTML":



  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • Outside of code tags, you may need to use entities for some characters:
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.