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[Fwd: Dot product (nx1).*(nxm)]


From: Joao Cardoso
Subject: [Fwd: Dot product (nx1).*(nxm)]
Date: Mon, 06 Dec 1999 16:14:20 +0000

Hi again

It seems that my previous results does not rule, as the following
message show.

Joao

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Joao Cardoso                |   e-mail: address@hidden
INESC, R. Jose Falcao 110   |   tel:    + 351 2 2094322
4050 Porto, Portugal        |   fax:    + 351 2 2008487


--- Begin Message --- Subject: Re: Dot product (nx1).*(nxm) Date: Mon, 6 Dec 1999 08:49:23 +0100
On Sun, 05 Dec 1999, Joao Cardoso wrote:
>The first method scales as 1.4*N^2, obviously, and the last one seems to
>scale as 3.7*N*log(N), so I must learn the second method syntax!
>Contributions? I'm using Octave-2.1.14 on a 500MHz PIII.
>
>Joao
Here are my results:
Octave, version 2.0.13 (sparc-sun-solaris2.5.1).
Copyright (C) 1996, 1997, 1998 John W. Eaton.
This is free software with ABSOLUTELY NO WARRANTY.
For details, type `warranty'.

octave:1> p=rand(100,1);
octave:2> q=ones(1,50);
octave:3> p2=p*q;
octave:4> t0=cputime; for i=1:1000, p2=p*q; end , cputime-t0
ans = 0.34773
octave:5> t0=cputime; for i=1:1000, p2=p(:,q); end , cputime-t0
ans = 2.5304
octave:6> p=rand(500,1);
octave:7> q=ones(1,250);
octave:8> p2=p*q;
octave:9> t0=cputime; for i=1:1000, p2=p*q; end , cputime-t0
ans = 12.381
octave:10> t0=cputime; for i=1:1000, p2=p(:,q); end , cputime-t0
ans = 57.984
octave:11> p=rand(1000,1);
octave:12> q=ones(1,500);
octave:13> p2=p*q;
octave:14> t0=cputime; for i=1:1000, p2=p*q; end , cputime-t0
ans = 58.200
octave:15> t0=cputime; for i=1:1000, p2=p(:,q); end , cputime-t0
ans = 236.52

They differe completely from the previously observed. 
Hardware: Sun Ultra I, 170MHz, Solaris 2.5.1
Octave: The Fortran stuff is completely replaced by the Sun Performance Library
which is well tuned to the hardware. So the break-even appears at rather high
dimensions. Caching effects?

Regards,
Michael


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|  Michael Hanke                Royal Institute of Technology   |
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