Source code of the paper: "Quad-Optimized Low-Discrepancy Sequences", Victor Ostromoukhov, Nicolas Bonneel, David Coeurjolly, Jean-Claude Iehl , ACM SIGGRAPH Conference Proceeedings, San Diego, 2024.
The project uses a classical cmake worklow. For instance on linux/macos systems:
mkdir build
cd build
cmake ..
make
The main tool is samplerGF3:
Usage: samplerGF3 [OPTIONS]
Options:
-h,--help Print this help message and exit
-d INT number of dimensions, default: 8
-m INT size of the matrices, to produce up to 3^m points, default: 5
-i,--init_file TEXT REQUIRED
filename which contains initialization data, default:
For instance, to generate matrices, and the
samplerGF3 -i ../initIrreducibleGF3.dat -m 5 -d 4
which outputs the four matrices in GF(3) and the scrambled samples (cropped output):
d= 0
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
d= 1
1 1 2 2 1
0 1 0 2 0
0 0 1 1 1
0 0 0 1 0
0 0 0 0 1
d= 2
1 2 1 2 1
0 1 1 0 2
0 0 1 0 0
0 0 0 1 2
0 0 0 0 1
d= 3
2 2 2 2 2
0 2 1 0 2
0 0 2 0 0
0 0 0 2 2
0 0 0 0 2
4 dimensions.
243 points.
0.296296 0.115226 0.748971 0.835391
0.399177 0.63786 0.641975 0.1893
0.777778 0.876543 0.263374 0.514403
0.0864198 0.444444 0.213992 0.0164609
0.584362 0.711934 0.921811 0.563786
...