test_Eigensolver_Chebyshev.cpp

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#include "test.h"

#include "eigensolver_IRLanczos.h"

#include "gaugeConfig.h"
#include "mat_SU_N.h"
#include "vec_SU_N.h"

#include "fopr.h"
#include "fopr_Chebyshev.h"

#include "projection.h"
#include "smear.h"

#include "director_Smear.h"
#include "fopr_Smeared.h"

#include "randomNumbers_Mseries.h"

//====================================================================

namespace Test_Eigensolver_Chebyshev {
  const std::string test_name = "Eigensolver.Chebyshev";

  //- test-private parameters
  namespace {
    const std::string filename_input  = "test_Eigensolver_Chebyshev.yaml";
    const std::string filename_output = "stdout";

    class Parameters_Test_Eigensolver : public Parameters {
     public:
      Parameters_Test_Eigensolver()
      {
        Register_string("gauge_config_status", "NULL");
        Register_string("gauge_config_type_input", "NULL");
        Register_string("config_filename_input", "NULL");

        Register_string("verbose_level", "NULL");

        Register_double("expected_result", 0.0);
      }
    };
  }

  //- prototype declaration
  int solve_chebyshev(void);

#ifdef USE_TESTMANAGER_AUTOREGISTER
  namespace {
#if defined(USE_GROUP_SU2)
    // Nc=2 is not available.
#else
    static const bool is_registered = TestManager::RegisterTest(
      test_name,
      solve_chebyshev
      );
#endif
  }
#endif

  //====================================================================
  //- Check of eigenvalue solver
  int solve_chebyshev(void)
  {
    // ####  parameter setup  ####
    int Ndim = CommonParameters::Ndim();
    int Nvol = CommonParameters::Nvol();

    Parameters *params_test      = new Parameters_Test_Eigensolver;
    Parameters *params_fopr      = ParametersFactory::New("Fopr");
    Parameters *params_chebyshev = ParametersFactory::New("Fopr.Chebyshev");
    Parameters *params_proj      = ParametersFactory::New("Projection");
    Parameters *params_smear     = ParametersFactory::New("Smear");
    Parameters *params_dr_smear  = ParametersFactory::New("Director_Smear");
    Parameters *params_irlanczos = ParametersFactory::New("Eigensolver");
    Parameters *params_all       = new Parameters;

    params_all->Register_Parameters("Test_Eigensolver", params_test);
    params_all->Register_Parameters("Fopr", params_fopr);
    params_all->Register_Parameters("Fopr_Chebyshev", params_chebyshev);
    params_all->Register_Parameters("Projection", params_proj);
    params_all->Register_Parameters("Smear", params_smear);
    params_all->Register_Parameters("Director_Smear", params_dr_smear);
    params_all->Register_Parameters("Eigensolver_Chebyshev", params_irlanczos);

    ParameterManager::read(filename_input, params_all);

    const string str_gconf_status = params_test->get_string("gauge_config_status");
    const string str_gconf_read   = params_test->get_string("gauge_config_type_input");
    const string readfile         = params_test->get_string("config_filename_input");
    const string str_vlevel       = params_test->get_string("verbose_level");

    const bool   do_check        = params_test->is_set("expected_result");
    const double expected_result = do_check ? params_test->get_double("expected_result") : 0.0;

    const string str_fopr_type      = params_fopr->get_string("fermion_type");
    const string str_gmset_type     = params_fopr->get_string("gamma_matrix_type");
    const string str_proj_type      = params_proj->get_string("projection_type");
    const string str_smear_type     = params_smear->get_string("smear_type");
    const string str_sortfield_type = params_irlanczos->get_string("eigensolver_mode");
    const int    Nk          = params_irlanczos->get_int("number_of_wanted_eigenvectors");
    const int    Np          = params_irlanczos->get_int("number_of_working_eigenvectors");
    const int    Niter_eigen = params_irlanczos->get_int("maximum_number_of_iteration");
    const double Enorm_eigen = params_irlanczos->get_double("convergence_criterion_squared");
    const double Vthreshold  = params_irlanczos->get_double("threshold_value");

    Bridge::VerboseLevel vl = vout.set_verbose_level(str_vlevel);

    //- print input parameters
    vout.general(vl, "  gconf_status   = %s\n", str_gconf_status.c_str());
    vout.general(vl, "  gconf_read     = %s\n", str_gconf_read.c_str());
    vout.general(vl, "  readfile       = %s\n", readfile.c_str());
    vout.general(vl, "  vlevel         = %s\n", str_vlevel.c_str());
    vout.general(vl, "  gmset_type     = %s\n", str_gmset_type.c_str());
    vout.general(vl, "  proj_type      = %s\n", str_proj_type.c_str());
    vout.general(vl, "  smear_type     = %s\n", str_smear_type.c_str());
    vout.general(vl, "  sortfield_type = %s\n", str_sortfield_type.c_str());
    vout.general(vl, "\n");

    //- input parameter check
    int err = 0;
    err += ParameterCheck::non_NULL(str_gconf_status);

    if (err) {
      vout.crucial(vl, "%s: input parameters have not been set.\n", test_name.c_str());
      exit(EXIT_FAILURE);
    }


    // ####  Set up a gauge configuration  ####
    unique_ptr<Field_G>     U(new Field_G(Nvol, Ndim));
    unique_ptr<GaugeConfig> gconf_read(new GaugeConfig(str_gconf_read));

    if (str_gconf_status == "Continue") {
      gconf_read->read_file(U, readfile);
    } else if (str_gconf_status == "Cold_start") {
      U->set_unit();
    } else if (str_gconf_status == "Hot_start") {
      int i_seed_noise = 1234567;
      unique_ptr<RandomNumbers> rand(new RandomNumbers_Mseries(i_seed_noise));
      U->set_random(rand);
    } else {
      vout.crucial(vl, "%s: unsupported gconf status \"%s\".\n", test_name.c_str(), str_gconf_status.c_str());
      exit(EXIT_FAILURE);
    }

    unique_ptr<Projection> proj(Projection::New(str_proj_type));
    unique_ptr<Smear>      smear(Smear::New(str_smear_type, proj));
    smear->set_parameters(*params_smear);

    unique_ptr<Director> dr_smear(new Director_Smear(smear));
    dr_smear->set_parameters(*params_dr_smear);


    // ####  object setup  #####
    unique_ptr<Fopr> fopr(Fopr::New(str_fopr_type, str_gmset_type));
    fopr->set_parameters(*params_fopr);

    unique_ptr<Fopr> fopr_smear(Fopr::New("Smeared", fopr, dr_smear));
    fopr_smear->set_config(U);
    fopr_smear->set_mode("DdagD");

    // unique_ptr<Fopr> fopr_ch(Fopr::New("Chebyshev", fopr_smear));
    unique_ptr<Fopr_Chebyshev> fopr_ch(new Fopr_Chebyshev(fopr_smear.get()));
    fopr_ch->set_parameters(*params_chebyshev);

    double Vthreshold_ch = fopr_ch->mult(Vthreshold * Vthreshold);
    vout.general(vl, "Vthreshold_ch = %12.6f\n", Vthreshold_ch);

    //- NB. Low and High must be inversed, because of Chebyshev expansion.
    unique_ptr<Eigensolver_IRLanczos> eigen(new Eigensolver_IRLanczos(fopr_ch.get()));
    eigen->set_parameters(str_sortfield_type, Nk, Np, Niter_eigen, Enorm_eigen, Vthreshold_ch);

    unique_ptr<Timer> timer(new Timer(test_name));


    // ####  Execution main part  ####
    timer->start();

    int                 Nm = Nk + Np;
    std::vector<double> TDa(Nm);
    std::vector<Field>  vk(Nm);

    Field_F b2;
    int     NFin  = b2.nin();
    int     NFvol = b2.nvol();
    int     NFex  = b2.nex();
    for (int k = 0; k < Nm; ++k) {
      vk[k].reset(NFin, NFvol, NFex);
    }

    int Nsbt  = -1;
    int Nconv = -100;
    eigen->solve(TDa, vk, Nsbt, Nconv, (Field)b2);

    //  vout.general(vl, "  Nsbt  = %d\n", Nsbt);
    //  vout.general(vl, "  Nconv = %d\n", Nconv);

    Field v;
    v.reset(NFin, NFvol, NFex);
    double vv = 0.0;  // superficial initialization

    fopr_smear->set_mode("H");

    for (int i = 0; i < Nsbt + 1; ++i) {
      fopr_smear->mult(v, vk[i]);

      double vnum = dot(vk[i], v);
      double vden = dot(vk[i], vk[i]);
      double veig = vnum / vden;

      TDa[i] = veig;
      axpy(v, -TDa[i], vk[i]);  // v -= TDa[i] * vk[i];
      vv = v.norm2();           // vv = v * v;

      vout.general(vl, "Eigenvalues: %4d %20.14f  %10.4e  %10.4e\n", i, TDa[i], vv, vden - 1.0);
    }

    double result = TDa[0];

    timer->report();


    if (do_check) {
      return Test::verify(result, expected_result);
    } else {
      vout.detailed(vl, "check skipped: expected_result not set.\n\n");
      return EXIT_SKIP;
    }
  }
} // namespace Test_Eigensolver_Chebyshev