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Re: Mathematica 20x slower than Java at arithmetic/special functions, is

  • To: mathgroup at smc.vnet.net
  • Subject: [mg115881] Re: Mathematica 20x slower than Java at arithmetic/special functions, is
  • From: DrMajorBob <btreat1 at austin.rr.com>
  • Date: Mon, 24 Jan 2011 05:22:04 -0500 (EST)

In that case, I suggest writing all your code in Java.

Bobby

On Sun, 23 Jan 2011 16:33:09 -0600, Leo Alekseyev <dnquark at gmail.com>  
wrote:

> I was playing around with JLink the other day, and noticed that Java
> seems to outperform Mathematica by ~20x  in an area where I'd expect
> Mathematica to be rather well optimized -- arithmetic involving special
> functions.  In my particular example, I am simply evaluating a sum of
> Bessel functions.  I understand that much depends on the underlying
> implementation, but I just want to run this by Mathgroup to see if
> this is to be expected, or maybe if I'm doing something suboptimal in
> Mathematica.  Here's the code that I'm running:
>
> grid1dc[x_,
>   y_] = (With[{d = 0.1, NN = 50},
>     Sum[Re[N[
>         d BesselJ[1, 2 Pi d Sqrt[m^2 + n^2]]/
>           Sqrt[m^2 + n^2 + 10^-7]] Exp[
>         I 2.0 Pi (m x + n y)]], {m, -NN, NN, 1}, {n, -NN, NN, 1}]]) //
>    N
>
> and
>
> gridres1da =
>  With[{delta = 0.5, xlim = 2.5, ylim = 2.5},
>   Table[{x, y, grid1dc[x, y]}, {x, -xlim, xlim, delta}, {y, -ylim,
>     ylim, delta}]]
>
>
> Java implementation uses Colt and Apache common math libraries for the
> Bessels and complex numbers, uses a double for loop, and consistently
> runs 15-20 times faster.
>
> --Leo
>


-- 
DrMajorBob at yahoo.com


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