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UniGen approximately uniform sampler

# meelgroup/unigen

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# UniGen3: Almost-Uniform Sampler

UniGen3 is the state of the art almost-uniform sampler utilizing an improved version of CryptoMiniSat to handle problems of size and complexity that were not possible before. The current version is based on work Mate Soos, Stephan Gocht, and Kuldeep S. Meel, as published in CAV-20. Please see below for credits. A large part of the work is in CryptoMiniSat here.

## Docker image

If you don't have or don't know what an independent set is, first run our MIS tool:

docker run --rm -v pwd/formula.cnf:/in msoos/mis --timeout 300 /in
[...]
** Copy-paste the following line in the top of your CNF for UniGen **
c ind 3 4 7 8 10 11 14 17 18 26 30 35 36 39 42 47 60 62 67 0


Then copy-paste that line into your CNF.

Then run the updated CNF through unigen:

cat formula.cnf | docker run --rm -i -a stdin -a stdout msoos/unigen


## How to Build

To build on Linux:

sudo apt-get install build-essential cmake
sudo apt-get install zlib1g-dev libboost-program-options-dev libm4ri-dev
git clone https://github.com/msoos/cryptominisat
cd cryptominisat
mkdir build && cd build
cmake -DUSE_GAUSS=ON ..
make
sudo make install
cd ../..
git clone https://github.com/meelgroup/approxmc/
cd approxmc
mkdir build && cd build
cmake ..
make
sudo make install
cd ../..
git clone https://github.com/meelgroup/unigen/
cd unigen
mkdir build && cd build
cmake ..
make
sudo make install


If you need a static binary, you must build CryptoMiniSat, ApproxMC, and Unigen all with the cmake argument -DSTATICCOMPILE=ON.

### Sampling Set

For some applications, one is not interested in solutions over all the variables and instead interested in sampling over the solutions projected to a subset of variables, called sampling set. UniGen allows you to specify the sampling set using the following modified version of DIMACS format:

\$ cat myfile.cnf
c ind 1 3 4 6 7 8 10 0
p cnf 500 1
3 4 0


Above, using the c ind line, we declare that only variables 1, 3, 4, 6, 7, 8 and 10 form part of the sampling set out of the CNF's 500 variables 1,2...500. This line must end with a 0. Naturally, if your sampling set only contains 7 variables, then the maximum number of solutions restricted to sampling set can only be at most 2^7 = 128. This is true even if your CNF has thousands of variables.

### Independent set

For most applications, we are want all solutions to the problem. To do this, you need to use the MIS tool to find a small independent set of variables to your CNF. For example, for formula.cnf we can do:

docker run --rm -v pwd/formula.cnf:/in msoos/mis --timeout 300 /in
[...]
** Copy-paste the following line in the top of your CNF for UniGen **
c ind 3 4 7 8 10 11 14 17 18 26 30 35 36 39 42 47 60 62 67 0


You must copy the line starting with c ind ... to the top of your CNF before running ApproxMC.

### Library Use

Below is an example library use:

#include <unigen/unigen.h>
using namespace CMSat;
using namespace UniGen;
using std::cout;
using std::endl;

void mycallback(const std::vector<int>& solution, void*)
{
for(uint32_t i = 0; i < solution.size(); i++) {
cout << solution[i] <<  " ";
}
cout << "0" << endl;
}

int main () {
auto appmc = new ApproxMC::AppMC;
auto unigen = new UniG(appmc);
appmc->set_verbosity(verbosity);
unigen->set_callback(mycallback, NULL);
vector<Lit> lits;

lits.clear();
lits.push_back(Lit(0, true));
lits.push_back(Lit(1, true));

auto sol_count = appmc->count();
unigen->sample(&sol_count, num_samples);

lits.clear();
lits.push_back(Lit(0, true));
lits.push_back(Lit(2, true));

sol_count = appmc->count();
unigen->sample(&sol_count, num_samples);
return 0;
}


### Guarantees

UniGen ensures that the generated distribution is within (1+\epsilon)-multiplicative factor of the ideal uniform distribution.

### Issues, questions, bugs, etc.

Please click on "issues" at the top and create a new issue. All issues are responded to promptly.

## How to Cite

If you use UniGen, please cite the following papers: CAV20, TACAS15, and DAC14.

UniGen builds on a series of papers on hashing-based approach: Related Publications

## Contributors

UniGen is based on research papers published over the period of 2012-20 and co-authored by (in alphabetical order): Supratik Chakraborty, Daniel Fremont, Stephan Gocht, Kuldeep S. Meel, Sanjit A. Seshia, Mate Soos, and Moshe Y. Vardi.

UniGen approximately uniform sampler

UniGen Latest
Mar 30, 2021

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