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FibonacciSphere

My project for High Performance Computing at Northeastern University

In this project, I wrote an algorithm to calculate the nearest point on a Fibonacci Lattice Sphere. I then explored various methods of parallelizing it using OpenMP, MPI, and OpenACC. Using maps and some trigonometric calculations I wrote an elegant algorithm and achieved constant runtime regardless of the number of points on the lattice (excluding setup costs). I then explored divide and conquer techniques along with other structural algorithm modifications to parallelize batch processing of randomly generated points with the goal of minimum runtime.

Fibonacci Lattice Sphere

Sequential

Compiled with g++ on the Discovery Cluster

g++ fibonacciSphere.c -o bin/fibonacciSphere

If compiling with debug flag only hard coded parameters will be used (bins, points, seed)

Command line arguments:

arg[1]: number of bins to generate
arg[2]: number of points to generate
arg[3]: seed (optional)

OpenMP

Compiled with g++ on the Discovery Cluster

g++ -openmp fibonacciSphereOpenMP.c -o bin/fibonacciSphereOpenMP

Command line arguments:

arg[1]: number of bins to generate
arg[2]: number of points to generate
arg[3]: number of threads
arg[4]: seed (optional)

MPI

Compiled with mpiCC on the Discovery Cluster

mpiCC -o bin/fibonacciSphereMPI fibonacciSphereMPI.c

Command line arguments:

arg[1]: number of bins to generate
arg[2]: number of points to generate
arg[3]: seed (optional)

OpenNP and MPI

Compiled with mpiCC on the Discovery Cluster

mpiCC -openmp fibonacciSphereOpenMPandMPI.c -o bin/fibonacciSphereOpenMPandMPI

Command line arguments:

arg[1]: number of bins to generate
arg[2]: number of points to generate
arg[3]: number of threads
arg[4]: seed (optional)

OpenACC

Compiled with gcc on the Discovery Cluster

gcc -lm fibonacciSphereOpenACC.cpp -O3 -o bin/fibonacciSphereOpenACC

Command line arguments:

arg[1]: number of bins to generate
arg[2]: number of points to generate
arg[3]: seed (optional)

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My project for High Performance Computing at Northeastern University

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