Matlab Examples using MDCS
A few examples for Matlab applications using MDCS (prepared using Matlab version R2011b) are illustrated below.
Example application
Consider the Matlab .m-file myExample_2DRandWalk.m (listed below), which among other things illustrates the use of sliced variables and independent stremas of random numbers for use with parfor-loops.
This example program generates a number of N independent 2D random walks (a single step has steplength 1 and a random direction). Each random walk performs tMax steps. At each step t, the radius of gyration (Rgyr) of walk i is stored in the array Rgyr_t in the entry Rgyr_t(i,t). While the whole data is availabe for further postprocessing, only the average radius of gyration Rgyr_av and the respective standard error Rgyr_sErr for the time steps 1...tMax are computed immediately and stored in an output file on HERO.
As liste above, the .m-file depends on the following files:
singleRandWalk.m, implementing a single random walk;
averageRgyr.m, which computes the average radius of gyration
of the random walks for time steps 1...tMax; basicStats.m,
implenting routines for the three basic summary statistic average,
corrected variance and standard error.
For test purposes one might execute the myExample_2DRandWalk.m directly from within a Matlab session on a local Desktop PC. So as to sumbit the respective job to the local HPC system one might assemble the following job submission script, called mySubmitScript.m:
sched = findResource('scheduler','Configuration','HERO'); jobRW =... batch(... sched,... 'myExample_2DRandWalk',... 'matlabpool',2,... 'FileDependencies',{... 'singleRandWalk.m',... 'averageRgyr.m',... 'basicStats.m'... }... );