test_Eigensolver_Chebyshev.cpp

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#include "Tests/test.h"

#include "Eigen/eigensolver_IRLanczos.h"

#include "Fopr/fopr_Chebyshev.h"
#include "Fopr/fopr_Smeared.h"

#include "IO/gaugeConfig.h"

#include "Smear/projection.h"

#include "Tools/randomNumberManager.h"
#include "Tools/mat_SU_N.h"
#include "Tools/vec_SU_N.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";
  }

  //- 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_all = ParameterManager::read(filename_input);

    Parameters params_test      = params_all.lookup("Test_Eigensolver");
    Parameters params_fopr      = params_all.lookup("Fopr");
    Parameters params_chebyshev = params_all.lookup("Fopr_Chebyshev");
    Parameters params_proj      = params_all.lookup("Projection");
    Parameters params_smear     = params_all.lookup("Smear");
    Parameters params_dr_smear  = params_all.lookup("Director_Smear");
    Parameters params_irlanczos = params_all.lookup("Eigensolver_Chebyshev");

    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_rand_type    = params_test.get_string("random_number_type");
    const unsigned long seed             = params_test.get_unsigned_long("seed_for_random_number");
    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, "  rand_type      = %s\n", str_rand_type.c_str());
    vout.general(vl, "  seed           = %lu\n", seed);
    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, "Error at %s: input parameters have not been set\n", test_name.c_str());
      exit(EXIT_FAILURE);
    }


    RandomNumberManager::initialize(str_rand_type, seed);


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

    if (str_gconf_status == "Continue") {
      GaugeConfig(str_gconf_read).read(U, readfile);
    } else if (str_gconf_status == "Cold_start") {
      GaugeConfig("Unit").read(U);
    } else if (str_gconf_status == "Hot_start") {
      GaugeConfig("Random").read(U);
    } else {
      vout.crucial(vl, "Error at %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));
    proj->set_parameters(params_proj);

    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();

    RandomNumberManager::finalize();


    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