File: normaliz.cpp

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/*
 * Normaliz
 * Copyright (C) 2007-2022  W. Bruns, B. Ichim, Ch. Soeger, U. v. d. Ohe
 * This program 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.
 *
 * This program 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 this program.  If not, see <https://www.gnu.org/licenses/>.
 *
 * As an exception, when this program is distributed through (i) the App Store
 * by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or (iii) Google Play
 * by Google Inc., then that store may impose any digital rights management,
 * device limits and/or redistribution restrictions that are required by its
 * terms of service.
 */

#include <cstdlib>
#include <vector>
#include <list>
#include <string>
#include <sstream>
#include <fstream>
#include <algorithm>
#include <csignal>
#include <memory>
using namespace std;

#ifdef NMZ_GPERF
#include <gperftools/profiler.h>
#endif

#include "libnormaliz/integer.h"
#include "libnormaliz/cone.h"
#include "libnormaliz/output.h"
#include "libnormaliz/input.h"
#include "libnormaliz/options.h"
#include "libnormaliz/chunk.h"

using namespace libnormaliz;

long CCCCCCC = 0;

void printHeader() {
    cout << "                                                     \\.....|" << endl;
#ifdef NMZ_DEVELOP
    cout << "                 Normaliz DEVELOPMENT "
         << "                \\....|" << endl;
#else
    cout << "                    Normaliz " << string(STRINGIFY(NMZ_VERSION) "           ", 11) << "              \\....|"
         << endl;
#endif
    cout << "                                                       \\...|" << endl;
    cout << "     (C) The Normaliz Team, University of Osnabrueck    \\..|" << endl;
    cout << "                     August 2022                         \\.|" << endl;
    cout << "                                                          \\|" << endl;
    string optional_packages = package_string();
    if (optional_packages.size() > 0) {
        cout << "-------------------------------------------------------------" << endl;
        cout << "with package(s)" << optional_packages << endl;
    }
}

void printHelp(char* command) {
    cout << "Usage: " << command << " [options] PROJECT" << endl;
    cout << "  runs normaliz on PROJECT.in" << endl;
    cout << "Computation goals with short options (selection):" << endl;
    cout << "  -s\tcompute support hyperplanes" << endl;
    cout << "  -v\tcompute multiplicity" << endl;
    cout << "  -V\tcompute volume" << endl;
    cout << "  -N\tcompute Hilbert basis (with partial triangulation)" << endl;
    cout << "  -w\tcheck for integrally closed and compute witness if not" << endl;
    cout << "  -q\tcompute Hilbert series" << endl;
    cout << "  -1\tcompute degree 1 elements" << endl;
    cout << "  -T\tcompute triangulation  (output in file .tri)" << endl;
    cout << "  -H\tcompute integer hull" << endl;
    cout << "  -M\tcompute module generators over original monoid" << endl;
    cout << "  -E\tcompute weighted Ehrhart series" << endl;
    cout << "  -L\tcompute virtual multiplicity of weighted Ehrhart series" << endl;
    cout << "  -I\tcompute integral" << endl;
    cout << "  -G\tcheck Gorenstein" << endl;

    cout << endl;
    cout << "Algorithmic variants with short options (slection):" << endl;
    cout << "  -d\t dual ode (includes Hilbert basis, unless combined with -1)" << endl;
    cout << "  -j\t project-and-lift" << endl;
    cout << "  -J\t project-and-lift with floating point arithmetic" << endl;
    cout << "  -k\t keep order" << endl;
    cout << "  -Y\t symmetrization" << endl;
    cout << "  -F\t multiplicity/volume by decent in the face lattice" << endl;

    cout << endl;
    cout << "For computation goals and variants not in the lists above use" << endl;
    // cout << endl;
    cout << "      --<PROP>     compute the ConeProperty <PROP>" << endl;
    // cout << endl;
    cout << "see doc/Normaliz.pdf or doc/NmzShortRef.pdf. Selection:" << endl;
    // cout << endl;
    cout << "      Automorphisms, EuclideanAutomorphisms, RationalA..., CombinatorialA..." << endl;
    cout << "      EhrhartSeries, LatticePoints, NumberLatticePoints" << endl;
    cout << "      FaceLattice, FVector, Incidence" << endl;

    cout << endl;
    cout << "Output and execution:" << endl;
    cout << "  -f, --files      write the files .out .gen .inv .cst" << endl;
    cout << "  -a, --all-files  write all output files (except  .dec .tri .typ)" << endl;
    cout << "      --<SUFFIX>   write the file .<SUFFIX> where <SUFFIX> can be one of" << endl;
    cout << "                   cst, egn, esp, ext, gen, ht1, inv, lat, mod, msp, typ" << endl;

    cout << endl;
    cout << "  -B, --BigInt     directly use indefinite precision arithmetic" << endl;
    cout << "      --LongLong   only use long long arithmetic, no conversion possible" << endl;
    cout << "  -i, --ignore     ignore the compute options set in the input file" << endl;
    cout << "  -x=<T>           limit the number of threads to <T>" << endl;
    cout << "  --OutputDir=<path> set a path for the output files (relative to current directory)" << endl;
    cout << "  -?, --help       print this help text and exit" << endl;
    cout << "  -c, --verbose    verbose (prints log data on terminal)" << endl;
    cout << "      --version    print version info and exit" << endl;
    cout << endl;
    cout << "Please report bugs to <normaliz@uos.de> or directly to our issue tracker:" << endl;
    cout << "https://github.com/Normaliz/Normaliz/issues" << endl;
}

int process_data(OptionsHandler& options, const string& command_line);

//---------------------------------------------------------------------------

int main(int argc, char* argv[]) {
#ifdef NMZ_GPERF
    ProfilerStart("normaliz.prof");
#endif
    
    StartGlobalTime();

    /*cout << "Before AAA" << endl;
    renf_class K("a^2 - 5", "a", "2.0 +/- 1.0");
    cout << "Constructed" << endl;
   renf_elem_class b(K, "a+1");
   // std::cout << "number " << b << std::endl;
   cout << "Survived " << endl;*/

    // signal handler for interrupt
    signal(SIGINT, &interrupt_signal_handler);

    // read command line options
    OptionsHandler options;

    string command_line;
    for (int i = 1; i < argc; ++i)
        command_line = command_line + string(argv[i]) + " ";

    bool print_help = options.handle_commandline(argc, argv);

    if (print_help) {
        // printHeader();
        printHelp(argv[0]);
        exit(0);
    }

    if (verbose) {
        printHeader();
    }

    process_data(options, command_line);

    if (verbose && GMP_hyp + GMP_scal_prod + GMP_mat > 0)
        verboseOutput() << "GMP transitions: matrices " << GMP_mat << " hyperplanes " << GMP_hyp << " vector operations "
                        << GMP_scal_prod << endl;

    if (nmz_interrupted)
        exit(10);

#ifdef NMZ_GPERF
    ProfilerStop();
#endif
    
    MeasureGlobalTime(verbose);

    exit(0);
}

//---------------------------------------------------------------------------

template <typename ConeType, typename InputNumberType>
void compute_and_output(OptionsHandler& options,
                        const InputMap<InputNumberType>& input,
                        const map<NumParam::Param, long>& num_param_input,
                        map<PolyParam::Param, vector<string> >& poly_param_input,
                        renf_class_shared number_field_ref,
                        InputMap<InputNumberType>& add_input) {
    Output<ConeType> Out;  // all the information relevant for output is collected in this object

    // const
    renf_class_shared number_field =
#ifdef ENFNORMALIZ
        number_field_ref.get();
#else
        number_field_ref;
#endif

    options.applyOutputOptions(Out);

    options.activateDefaultMode();

    Out.set_lattice_ideal_input(input.count(Type::lattice_ideal) > 0);

    Cone<ConeType> MyCone = Cone<ConeType>(input);
    MyCone.setPolyParams(poly_param_input);
    MyCone.setNumericalParams(num_param_input);
    /*MyCone.setNrCoeffQuasiPol(nr_coeff_quasipol);
    MyCone.setExpansionDegree(expansion_degree);
    MyCone.setFaceCodimBound(face_codim_bound);*/
    MyCone.setRenf(number_field);
    MyCone.setProjectName(options.getProjectName());
    try {
        MyCone.compute(options.getToCompute());
        if (add_input.size() > 0) {
            ConeProperties AddInputOptions;
            AddInputOptions.set(ConeProperty::SupportHyperplanes);
            MyCone.modifyCone(add_input);
            MyCone.compute(AddInputOptions);
        }
    } catch (const NotComputableException& e) {
        std::cout << "Not all desired data could be computed." << endl;
        std::cout << e.what() << endl;
        std::cout << "Writing only available data." << endl;
    } catch (const InterruptException& e) {
        std::cout << endl;
        std::cout << "Computation was interrupted." << endl;
        std::cout << "Writing only available data." << endl;
    }
    Out.setCone(MyCone);
    Out.set_renf(number_field);

    signal(SIGINT, SIG_DFL);

    Out.write_files();

    if (MyCone.isComputed(ConeProperty::IntegerHull)) {
        Output<ConeType> IntHullOut;
        options.applyOutputOptions(IntHullOut);
        IntHullOut.set_name(options.getProjectName() + ".IntHull");
        IntHullOut.setCone(MyCone.getIntegerHullCone());
        IntHullOut.set_renf(number_field, true);
        IntHullOut.write_files();
    }

    if (MyCone.isComputed(ConeProperty::ProjectCone)) {
        Output<ConeType> ProjOut;
        options.applyOutputOptions(ProjOut);
        ProjOut.set_name(options.getProjectName() + ".ProjectCone");
        ProjOut.setCone(MyCone.getProjectCone());
        ProjOut.set_renf(number_field);
        ProjOut.write_files();
    }

#ifdef NMZ_COCOA
    if (MyCone.isComputed(ConeProperty::Symmetrize)) {
        Output<ConeType> SymmOut;
        options.applyOutputOptions(SymmOut);
        SymmOut.set_name(options.getProjectName() + ".symm");
        SymmOut.setCone(MyCone.getSymmetrizedCone());
        SymmOut.write_files();
    }
#endif
}

//---------------------------------------------------------------------------
// for testing only, not really useful in Normaliz
template <typename InputNumberType>
InputMap<InputNumberType> extract_additional_input(
    InputMap<InputNumberType>& input) {
    InputMap<InputNumberType> add_input;
    size_t nr_add_input = 0;
    auto M = input.find(Type::add_inequalities);
    if (M != input.end()) {
        add_input[Type::inequalities] = input[Type::add_inequalities];
        input.erase(Type::add_inequalities);
        nr_add_input++;
    }
    M = input.find(Type::add_equations);
    if (M != input.end()) {
        add_input[Type::equations] = input[Type::add_equations];
        input.erase(Type::add_equations);
        nr_add_input++;
    }
    M = input.find(Type::add_inhom_inequalities);
    if (M != input.end()) {
        add_input[Type::inhom_inequalities] = input[Type::add_inhom_inequalities];
        input.erase(Type::add_inhom_inequalities);
        nr_add_input++;
    }
    M = input.find(Type::add_inhom_equations);
    if (M != input.end()) {
        add_input[Type::inhom_equations] = input[Type::add_inhom_equations];
        input.erase(Type::add_inhom_equations);
        nr_add_input++;
    }
    M = input.find(Type::add_cone);
    if (M != input.end()) {
        add_input[Type::cone] = input[Type::add_cone];
        input.erase(Type::add_cone);
        nr_add_input++;
    }
    M = input.find(Type::add_subspace);
    if (M != input.end()) {
        add_input[Type::subspace] = input[Type::add_subspace];
        input.erase(Type::add_subspace);
        nr_add_input++;
    }
    M = input.find(Type::add_vertices);
    if (M != input.end()) {
        add_input[Type::vertices] = input[Type::add_vertices];
        input.erase(Type::add_vertices);
        nr_add_input++;
    }
    return add_input;
}
//---------------------------------------------------------------------------

int process_data(OptionsHandler& options, const string& command_line) {
    try {
        if (options.getProjectName() == "" && !options.isUseChunk()) {
            cerr << "ERROR: No project name set!" << endl;
            exit(1);
        }

        if (options.isUseChunk()) {
            chunk();
            exit(0);
        }

        if (options.isUseAddChunks()) {
            add_chunks(options.getProjectName());
            exit(0);
        }

        string name_in = options.getProjectName() + ".in";
        const char* file_in = name_in.c_str();
        ifstream in;
        in.open(file_in, ifstream::in);
        if (!in.is_open()) {
            cerr << "error: Failed to open file " << name_in << "." << endl;
            exit(1);
        }

        string polynomial;
        vector<string> polynomial_equations;
        /*long nr_coeff_quasipol=-1;
        long expansion_degree=-1;
        long face_codim_bound=-1;*/

        InputMap<mpq_class> input, add_input;
        InputMap<renf_elem_class> renf_input, renf_add_input;
        map<NumParam::Param, long> num_param_input;
        map<PolyParam::Param, vector<string> > poly_param_input;
        bool renf_read = false;
        renf_class_shared number_field;

        try {
            input = readNormalizInput<mpq_class>(in, options, num_param_input, poly_param_input,  number_field);
            if (nmz_interrupted)
                exit(10);
        }
#ifdef ENFNORMALIZ
        catch (const NumberFieldInputException& e) {
            if (verbose)
                verboseOutput() << "Input specifies a number field, trying again with number field implementation..." << endl;

            in.close();
            in.open(file_in, ifstream::in);
            renf_input = readNormalizInput<renf_elem_class>(in, options, num_param_input, poly_param_input, number_field);
            if (nmz_interrupted)
                exit(10);
            renf_read = true;
        }
#else
        catch (const NumberFieldInputException& e) {
            throw BadInputException("");
        }
#endif

        in.close();

        if (verbose) {
            verboseOutput() << "-------------------------------------------------------------" << endl;
            verboseOutput() << "Command line: " << command_line << endl;
            verboseOutput() << "Compute: ";
            if (options.getToCompute().none())
                verboseOutput() << "No computation goal set, using defaults given input" << endl;
            else
                verboseOutput() << options.getToCompute() << endl;
            for(auto& P: num_param_input)
                verboseOutput() << numpar_to_string(P.first) << " = " << P.second << endl;
        }

        if (renf_read) {
            if (options.isUseLongLong())
                throw BadInputException("LongLong not allowed for algebraic polyhedra");
            // if(options.getToCompute().test(ConeProperty::Dynamic))
            renf_add_input = extract_additional_input<renf_elem_class>(renf_input);

            compute_and_output<renf_elem_class>(options, renf_input, num_param_input, poly_param_input, number_field, renf_add_input);
        }
        else {
            if (options.isUseLongLong()) {
                // if(options.getToCompute().test(ConeProperty::Dynamic))
                add_input = extract_additional_input<mpq_class>(input);
                compute_and_output<long long>(options, input, num_param_input, poly_param_input, number_field, add_input);
            }
            else {
                // if(options.getToCompute().test(ConeProperty::Dynamic))
                add_input = extract_additional_input<mpq_class>(input);
                compute_and_output<mpz_class>(options, input, num_param_input, poly_param_input, number_field, add_input);
            }
        }

    } catch (const BadInputException& e) {
        cerr << e.what() << endl;
        cerr << "BadInputException caught... exiting." << endl;
        exit(1);
    } catch (const FatalException& e) {
        cerr << e.what() << endl;
        cerr << "FatalException caught... exiting." << endl;
        exit(2);
    } catch (const NmzCoCoAException& e) {
        cerr << e.what() << endl;
        cerr << "NmzCoCoAException caught... exiting." << endl;
        exit(3);
    } catch (const NormalizException& e) {
        cerr << e.what() << endl;
        cerr << "NormalizException caught... exiting." << endl;
        exit(4);
    } catch (const std::exception& e) {
        cerr << "std::exception caught... \"" << e.what() << "\" ...  exiting." << endl;
        exit(5);
    }

    return 0;
}