test_HotStart_Eigenvalue.cpp

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#include "test.h"

#include "gaugeConfig.h"

#include "eigen_QR_Cmplx.h"

#include <valarray>

#include "randomNumbers_Mseries.h"

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

namespace Test_HotStart {
  const std::string test_name = "HotStart.Eigenvalue";

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

    class Parameters_Test_HotStart : public Parameters {
     public:
      Parameters_Test_HotStart()
      {
        Register_string("verbose_level", "NULL");

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

  //- prototype declaration
  int eigenvalue(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,
      eigenvalue
      );
#endif
  }
#endif

  //====================================================================
  int eigenvalue(void)
  {
    int Nc   = CommonParameters::Nc();
    int Nvol = CommonParameters::Nvol();
    int Ndim = CommonParameters::Ndim();

    const double pi = 4.0 * atan(1.0);

    Parameters *params_test = new Parameters_Test_HotStart;
    Parameters *params_all  = new Parameters;

    params_all->Register_Parameters("Test_HotStart", params_test);

    ParameterManager_YAML params_manager;
    params_manager.read_params(filename_input, params_all);

    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;

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


    // ####  Set up a gauge configuration  ####
    Field_G *U = new Field_G(Nvol, Ndim);

    RandomNumbers_Mseries rand(1234567);
    U->set_random(&rand);


    // #### object setup #####
    Timer *timer = new Timer(test_name);


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

    double                av = 0.0;
    double                va = 0.0;
    Eigen_QR_Cmplx        eigen_qr(Nc);
    std::valarray<double> vec(2 * Nc);

    for (int site = 0; site < Nvol; ++site) {
      for (int mu = 0; mu < Ndim; ++mu) {
        vec = eigen_qr.solve(U->ptr(0, site, mu));
        for (int icolor = 0; icolor < Nc; ++icolor) {
          double arg = atan2(vec[2 * icolor + 1], vec[2 * icolor]);

          vout.detailed(vl, "%10.8f\n", arg);

          av += arg;
          va += arg * arg;
        }
      }
    }

    double av_all = Communicator::reduce_sum(av);
    double va_all = Communicator::reduce_sum(va);
    int    Nval   = CommonParameters::Lvol() * Ndim * Nc;

    av = av_all / Nval;
    va = va_all / Nval - av * av;

    va = sqrt(va);

    vout.general(vl, "\n");
    vout.general(vl, "Random SU(%d):\n", Nc);
    vout.general(vl, "  # of eigenvalue  = %10d\n", Nval);
    vout.general(vl, "  ave              = %23.16e\n", av);
    vout.general(vl, "  var              = %23.16e\n", va);
    //    vout.general(vl, "  var(expected)    = %23.16e\n", pi/sqrt(3));
    vout.general(vl, "  var(expected)    = %23.16e\n", pi / sqrt(3.0));

    double result = av;

    timer->report();


    // #####  tidy up  #####
    delete params_test;
    delete params_all;

    delete timer;

    delete U;


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