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'...
                           }...
        );