tutorial/GenSeqCyclicGroup.cc

This example shows how to enumerate integers (respectively polynomials) in the cyclic group of integers modulo \(n\) (respectively polynomials modulo \(P\)), in the natural group order, that is, using the group generator.

This example shows how to enumerate integers (respectively polynomials) in the cyclic group of integers modulo \(n\) (respectively polynomials modulo \(P\)), in the natural group order, that is, using the group generator.

// This file is part of LatNet Builder.
//
// Copyright (C) 2012-2021  The LatNet Builder author's, supervised by Pierre L'Ecuyer, Universite de Montreal.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
 
#include "latbuilder/GenSeq/CyclicGroup.h"
#include "latbuilder/TextStream.h"
 
#include "Path.h"
 
#include <iostream>
 
using namespace LatBuilder;
using TextStream::operator<<;

typedef GenSeq::CyclicGroup<LatticeType::ORDINARY, Compress::NONE> WholeIntSeq;
typedef GenSeq::CyclicGroup<LatticeType::ORDINARY, Compress::SYMMETRIC> HalfIntSeq;
typedef GenSeq::CyclicGroup<LatticeType::POLYNOMIAL, Compress::NONE> WholePolySeq;
 
void displayIntSeq(int base, int power)
{
   std::cout << "lattice modulus: " << base << "^" << power << std::endl;
   std::cout << "    whole sequence: " << WholeIntSeq(base, power) << std::endl;
   std::cout << "     half sequence: " << HalfIntSeq(base, power) << std::endl;
}
 
void displayPolySeq(Polynomial base, int power)
{
   std::cout << "polynomial lattice modulus: " << base << "^" << power << std::endl;
   std::cout << "    whole sequence: " << WholePolySeq(base, power) << std::endl;
}
 
int main()
{
   SET_PATH_TO_LATNETBUILDER_FOR_EXAMPLES();
   displayIntSeq(7, 1);
   displayIntSeq(2, 3);
   displayIntSeq(3, 2);
   displayPolySeq(PolynomialFromInt(13),1); 
 
   return 0;
}