Re: can Mathematica use dual processors?
- To: mathgroup at smc.vnet.net
- Subject: [mg24579] Re: can Mathematica use dual processors?
- From: Harald Giese <giese at ifm.uni-hamburg.de>
- Date: Tue, 25 Jul 2000 00:56:11 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
rob wrote:
>
> I looked thru the postings and didn't find this subject. Sorry if it
> has been discussed a lot and I missed it.
>
> I'm wondering if having dual processor sysem will speed up mathematica
> v. 4.0? Seems like several years ago this was discussed and Mathematica
> couldn't make use of the dual scheme. That may have changed.
>
Hi Rob,
There is no speed up on dual processor system. Even worse, some
computations may take longer! This happens with the benchmark test of
Stefan Steinhaus (www.scientificweb.de/testreport/mathtest3.nb):
Pentium II, 512MB RAM, Win. NT 4.0 (SP5), Mma. Version: 4.0.0
SINGLE CPU:
Creation,trans.,resh. of a matrix 24.359
Sorting of values in asc. order 11.766
450001! 28.5,
Computation of prime numbers 15.938
Computation of Fibonacci numbers 33.281
"Creation of a Toeplitz matrix 27.094
Computation of Pi on 200000 decimals 18.469
Comp. of the inverse of a matrix 35.875
Comp. of Eigenvalues of matrix 58.781
Numerical comp. of a triple integral 12.469
FFT over 4194304 random values 13.235
Polynomial regression 67.25,
Comp. of a Laplace transformation 26.141
Solving of the Euler-McLaurin sum. 1.64
Comp. of 5 Koch Snowflakes 20.078
High resolution Klein Bottle 63.219
Parametric plot of 3 pipes 34.782
Animation of a 3D Mountain in heatcol. 22.328
Total timing: 515.205
DUAL CPU:
Creation,trans.,resh. of a matrix 24.219
Sorting of values in asc. order 11.703
450001! 28.453
Computation of prime numbers 15.703
Computation of Fibonacci numbers 32.594
"Creation of a Toeplitz matrix 26.563
Computation of Pi on 200000 decimals 18.406
Comp. of the inverse of a matrix 35.594
Comp. of Eigenvalues of matrix 58.156
Numerical comp. of a triple integral 38.39 (!)
FFT over 4194304 random values 13.313
Polynomial regression 65.547
Comp. of a Laplace transformation 27.421
Solving of the Euler-McLaurin sum. 1.563
Comp. of 5 Koch Snowflakes 19.719
High resolution Klein Bottle 145.5 (!!)
Parametric plot of 3 pipes 34.234
Animation of a 3D Mountain in heatcol. 22.265
Total timing: 619.343
There is the "Parallel Computing Toolkit" written by R. Maeder
(www.mathdirect.com/products/par) available, but it costs some money
(USD 845/USD 445 Educational) and you have to call explicitly the
parallel functions (e.g. ParallelMap instead of Map).
Regards,
Harald
--
Harald Giese
Email: giese at ifm.uni-hamburg.de
Phone: +49 (0)40 42838 5796; Fax: +49 (0)40 5605724
Institut fuer Meereskunde der Universitaet Hamburg
(Institute of Oceanography of the University of Hamburg)
Troplowitzstrasse 7, D-22529 Hamburg