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Re: For loop problem in mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg90188] Re: [mg90163] For loop problem in mathematica
*From*: Sseziwa Mukasa <mukasa at jeol.com>
*Date*: Wed, 2 Jul 2008 05:27:16 -0400 (EDT)
*References*: <200807011059.GAA14895@smc.vnet.net>
On Jul 1, 2008, at 6:59 AM, PhysNova wrote:
> Hi,
> i wrote a simple program of evaluating Pi number in M6 to test cpu
> computation timing, to do this a simple for loop
>
> was used:
>
> x=0;For[i = 1, i < 10,000,000, i++, x = x + 1/(i^2)];N[Sqrt(6*x),25]//
> Timing
>
> the result was catastrophe! it take few minuates. but i first expect
> to do this very simple job in few
>
> seconds.computation time is just satisfactory up to 100000 cycle.
>
> could anyone interperet this falut?
You are using exact arithmetic, Mathematica will constantly try to
preserve precision, and simplify the expression x + 1/i^2 which adds
computational complexity.
> our get an idea to improve the result?
If you don't care about exact results, use approximate numbers:
x=N[0,25];For[i = 1, i < 10,000,000, i++, x =N[ x + 1/(i^2),25]];N
[Sqrt(6*x),25]//
Timing
Regards,
Ssezi
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