Requirements

Operating systems

Linux
- Has been tested on Fedora 38
- Will most likely work on other Linux distributions
MacOS
- Might work, but hasn't been tested
Windows
- Will most likely not work

Tools

Profiling
- score-p

Libraries

Python
- matplotlib
- numpy
C++
- Openmp
- OpenMPI
- Armadillo

Compiling

The commands shown here should be run from the root of this project.

Normal binaries

Compiling regular binaries is as easy as running this command:

make

The binaries will then be inside the **./bin** directory.

Profiling binaries

If you want to profile the programs (specifically the MPI program), then run this command

make profile

The binaries will then be inside the **./prof** directory.

Debugging binaries

If you want to debug the code, then use this command:

make debug

The binaries will then be inside the **./debug** directory.

Running programs

C++ binaries

To run any of the programs, just use the following command:

./<bin|prof|debug>/<program-name> <args>

If you need help with any of the programs, you can use the -h or –help flag to show you how to use the programs. Here is an example:

./bin/main --help

Python scripts

Install libraries

Before running the scripts, make sure that all libraries are installed. Using pip, you can install all requirements like this:

pip install -r requirements.txt

This recursively install all the packages that are listed in requirements.txt.

Running scripts

For the Python scripts, run them from the root of the project:

python python_scripts/<script-name>

If you have any problems running the scripts, you might have to run this instead:

python3 python_scripts/<script-name>

Batch system

For the phase_transition_mpi program, there are scripts in the **./slurm_scripts** directory that come along with it. This is to be able to run it on a batch system using Slurm if you have access to one. The only program that should be executed by the user is the **./slurm_scripts/execute.script** script. You can see how to use this script by doing:

./slurm_scripts/execute.script --help

This is the recommended way to use this program as it takes approximately 90 minutes to complete when using 8 processes where each process has 10 threads.

If you happen to have such a system available to you, then you should clone this repo on that system, then compile the MPI program like this:

make bin/phase_transition_mpi

After compiling, you can schedule it by using the **./slurm_scripts/execute.script**:

./slurm_scripts/execute.script <parameters>

Performance

This section aims to give an idea to the time it takes for the phase transition program to run so that you know a bit what to expect if you decide to run it for yourself.

CPU

The times mentioned here are times achieved on a computer with these specifications:

CPU model
- Intel i7-9850H
Threads
- 12
Clock speed
- 4.6GHz

Times

Note that all times here are recorded using the OpenMP implementation of the MCMC algorithm.

lattice size	points	samples	time (seconds)
20	20	100000	3.20
20	40	100000	6.17
20	80	100000	12.11

lattice size	points	samples	time (seconds)
20	20	100000	3.20
40	20	100000	11.91
80	20	100000	47.88

lattice size	points	samples	time (seconds)
20	20	100000	3.20
20	20	1000000	29.95
20	20	10000000	305.849

lattice size	points	samples	burn-in time	time (seconds)
20	20	100000	0	3.20
20	20	100000	5000	4.93
20	20	100000	10000	6.58

We can see that changing the number of points, samples and burn-in time changes the time in a linear fashion, while changing the size of the lattice changes the time in a square fashion.

Credits

The Doxygen theme used here is doxygen-awesome-css.