Lattice Builder Manual Software Package for Constructing Rank-1 Lattices

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tutorial/GenSeqExtend.cc

This example shows how to append digits to the left of a component of a generating vector in order to extend the number of points of a lattice.

// Copyright (c) 2012 David Munger, Pierre L'Ecuyer, Université de Montréal.
//
// This file is part of Lattice Builder.
//
// Lattice Builder is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// Lattice Builder is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with Lattice Builder. If not, see <http://www.gnu.org/licenses/>.
#include "latbuilder/GenSeq/Extend.h"
#include "latbuilder/Util.h"
#include "latbuilder/TextStream.h"
#include "latbuilder/Digits.h"
#include <iostream>
using namespace LatBuilder;
using TextStream::operator<<;
template <typename SEQ>
void showSeq(Modulus base, const SEQ& seq)
{
for (auto x : seq) {
Digits<Modulus> digits(base, x);
std::cout << " " << digits << std::endl;
}
}
int main()
{
Modulus m = 2;
for (Modulus b : {2, 3, 5}) {
Modulus numPoints = intPow(b, m); // n = b^m
Modulus gen = numPoints - 2; // a_j = n - 2 for this example
std::cout << "base: " << b << std::endl;
GenSeq::Extend<> seq(b * numPoints, numPoints, gen);
std::cout << " one level: " << seq << std::endl;
showSeq(b, seq);
}
return 0;
}