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Sampler Niederreiter [Nie88]

Description

The Niederreiter sequence. For a more precise description of this sampler and its performances in terms of aliasing and discrepancy, please refer to the following web bundle https://liris.cnrs.fr/ldbn/HTML_bundle/index.html.

Files

src/samplers/Niederreiter.cpp  
include/utk/samplers/SamplerNiederreiter.hpp

Usage


Niederreiter sampler
Usage: ./Niederreiter [OPTIONS]

Options:
  -h,--help                   Print this help message and exit
  -n UINT REQUIRED            Number of points
  -d UINT REQUIRED            Dimensions
  -s,--seed UINT              UNUSED ! Here for compatibility with others.
  -m UINT [1]                 Number of pointsets
  -o,--out TEXT [out.dat]     Output file (format). {i} splits outputs in multiple files and token is replaced by index.
  -b,--basis UINT [2]         Sampler basis
  --silent                    Silence UTK logs

#include <utk/utils/PointsetIO.hpp>
#include <utk/utils/Pointset.hpp>
#include <utk/samplers/SamplerNiederreiter.hpp>

int main()
{
    utk::Pointset<double> pts;
    utk::SamplerNiederreiter ndr(2 /* dimension */, 2 /* basis */);

    // Check for no errors
    if (ndr.generateSamples(pts, 1024 /* Number of points */))
    {
        write_text_pointset("ndr2d.dat", pts);
    }
}

import pyutk

ndr = pyutk.Niederreiter(d=2, basis=2)
samples = ndr.sample(1024) # This is a numpy array !

Results

License

See Licence.md file. Author code is released under GNU LGPL licence.

GNU LGPL, code from https://people.sc.fsu.edu/~jburkardt/cpp_src/niederreiter2/niederreiter2.html