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MathGroup Archive 2005

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Switching to Mac caused 20x slowdown - please help!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg60275] Switching to Mac caused 20x slowdown - please help!
  • From: "flatuniverse" <flatuniverse at gmail.com>
  • Date: Fri, 9 Sep 2005 04:07:22 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello All,

I'm having a major speed problem in moving from Linux to Mac.

Old machine: Dell Inspiron 8100 - 1GHz Pentium 3, 512MB RAM - Linux
RedHat - Mathematica 5
New Machine:  Apple Powerbook - 1.3GHz G4, 512MB RAM - OS 10.4.2 -
Mathematica 5.2

The bit of code below, which I need to loop many many times, is now
taking about 20 times longer - from ~.01 sec in Linux to ~.2 sec in
OSX.  The lag seems to be in the first function, "newh2" which I admit
is probably implemented very poorly.  I tried simpler versions using
"If" and "Piecewise," but that caused the second function "magFromq" to
fail.  Can anyone speed up this code?

Thank you very much!


H0 = 3.335*^-10 ;

\!\(\(newh2[
    z_?NumberQ, dq_, dz_, z1_, Om_:  .28] := Module[{h2temp, qmodify,
        z2}, \[IndentingNewLine]z2 =
       z1 + dz; h2temp = Om*\((1 + z)\)\^3 + \((1 - Om)\); \
\[IndentingNewLine]qmodify = \((\(1 +
        z\)\/\(1 + z1\))\)\^\(2  dq*\((UnitStep[z - z1] -
           UnitStep[z - z2])\)\)\ *\((\(1 + z2\)\/\(1 +
              z1\))\)\^\(2  dq*UnitStep[z -
        z2]\); \[IndentingNewLine]h2temp *=
qmodify\[IndentingNewLine]];\)\)

\!\(\(magFromq[z_?NumberQ, dq_:  0, dz_:  .01, z1_:
        99, Om_:  .28, h_:  .717137] := 5  Log[10, \((1 + z)\)\/\(10
         h*H0\)\ NIntegrate[1\/\@newh2[x, dq, dz, z1, Om], {x, 0,
z}]];\)\)

magFromq[2,.05,.05,1]//Timing

{0.235472 Second,45.9423}


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