tutorial/LatDef.cc

This example shows how to instantiate lattice definitions.

This example shows how to instantiate lattice definitions.

// 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/LatDef.h"
#include "latbuilder/SizeParam.h"
#include "latbuilder/TextStream.h"
 
#include "Path.h"
 
#include <iostream>
 
using namespace LatBuilder;
using TextStream::operator<<;

template <LatticeType LA, EmbeddingType L>
void printLatDef(const LatDef<LA, L>& def)
{
   std::cout << "dimension:         " << def.dimension() << std::endl;
   std::cout << "size parameter:    " << def.sizeParam() << std::endl;
   std::cout << "generating vector: " << def.gen() << std::endl;
   std::cout << "definition:        " << std::endl << def << std::endl;
}
int main()
{
 
   SET_PATH_TO_LATNETBUILDER_FOR_EXAMPLES();
   auto ordinary = createLatDef(SizeParam<LatticeType::ORDINARY, EmbeddingType::UNILEVEL>(31), {1, 12, 3});
   std::cout << "ordinary - simple lattice:" << std::endl;
   printLatDef(ordinary);

   auto embedded = createLatDef(SizeParam<LatticeType::ORDINARY, EmbeddingType::MULTILEVEL>(2, 5), {1, 7, 9});
   std::cout << "ordinary - embedded lattice:" << std::endl;
   printLatDef(embedded);

   Polynomial P = PolynomialFromInt(13); // P = 1 + z^2 + z^3
   auto pordinary = createLatDef(
        SizeParam<LatticeType::POLYNOMIAL, EmbeddingType::UNILEVEL>(P), 
        {PolynomialFromInt(1), 
            PolynomialFromInt(5), 
            PolynomialFromInt(3)}
        );
   std::cout << "polynomial - simple lattice:" << std::endl;
   printLatDef(pordinary);

   auto pembedded = createLatDef(
        SizeParam<LatticeType::POLYNOMIAL, EmbeddingType::MULTILEVEL>(PolynomialFromInt(2), 5),
        {PolynomialFromInt(1), 
            PolynomialFromInt(10), 
            PolynomialFromInt(3)}
        );
   std::cout << "polynomial - embedded lattice:" << std::endl;
   printLatDef(pembedded);
 
   return 0;
}