forceSmear_APE.cpp

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#include "forceSmear_APE.h"

#ifdef USE_PARAMETERS_FACTORY
#include "parameters_factory.h"
#endif

using std::valarray;

#ifdef USE_FACTORY
namespace {
  ForceSmear *create_object(Projection *proj)
  {
    return new ForceSmear_APE(proj);
  }


  bool init = ForceSmear::Factory::Register("APE", create_object);
}
#endif

//- parameter entries
namespace {
  void append_entry(Parameters& param)
  {
    param.Register_double("rho_uniform", 0.0);
    // param.Register_double_vector("rho", std::valarray<double>());

    param.Register_string("verbose_level", "NULL");
  }


#ifdef USE_PARAMETERS_FACTORY
  bool init_param = ParametersFactory::Register("ForceSmear.APE", append_entry);
#endif
}
//- end

//- parameters class
Parameters_ForceSmear_APE::Parameters_ForceSmear_APE() { append_entry(*this); }
//- end

//====================================================================
void ForceSmear_APE::set_parameters(const Parameters& params)
{
  const string str_vlevel = params.get_string("verbose_level");

  m_vl = vout.set_verbose_level(str_vlevel);

  //- fetch and check input parameters
  double rho1;

  int err = 0;
  err += params.fetch_double("rho_uniform", rho1);

  if (err) {
    vout.crucial(m_vl, "ForceSmear_APE: fetch error, input parameter not found.\n");
    abort();
  }


  set_parameters(rho1);
}


//====================================================================
void ForceSmear_APE::set_parameters(const double rho1)
{
  //- print input parameters
  vout.general(m_vl, "Parameters of ForceSmear_APE:\n");
  vout.general(m_vl, "  rho = %8.4f\n", rho1);

  //- range check
  // NB. rho == 0 is allowed.

  //- store values
  // m_rho.resize(m_Ndim * m_Ndim);  // already resized in init.
  for (int mu = 0; mu < m_Ndim; ++mu) {
    for (int nu = 0; nu < m_Ndim; ++nu) {
      m_rho[mu + nu * m_Ndim] = rho1;
    }
  }
}


//====================================================================
void ForceSmear_APE::set_parameters(const valarray<double>& rho)
{
  //- print input parameters
  vout.general(m_vl, "Parameters of ForceSmear_APE:\n");
  for (int mu = 0; mu < m_Ndim; ++mu) {
    vout.general(m_vl, "  rho[%d] = %8.4f\n", mu, rho[mu]);
  }

  //- range check
  // NB. rho == 0 is allowed.
  assert(rho.size() == m_Ndim * m_Ndim);

  //- store values
  // m_rho.resize(m_Ndim * m_Ndim);  // already resized in init.
  for (int mu = 0; mu < m_Ndim; ++mu) {
    for (int nu = 0; nu < m_Ndim; ++nu) {
      m_rho[mu + nu * m_Ndim] = rho[mu + nu * m_Ndim];
    }
  }
}


//====================================================================
void ForceSmear_APE::init()
{
  m_Ndim = CommonParameters::Ndim();
  m_Nvol = CommonParameters::Nvol();

  m_rho.resize(m_Ndim * m_Ndim);
  m_U.resize(m_Ndim);
  m_iTheta.resize(m_Ndim);

  for (int mu = 0; mu < m_Ndim; ++mu) {
    for (int nu = 0; nu < m_Ndim; ++nu) {
      m_rho[mu + nu * m_Ndim] = 0.0;
    }
  }
}


//====================================================================
Field ForceSmear_APE::force_udiv(const Field_G& Sigmap,
                                 const Field_G& U)
{
  int Nc   = CommonParameters::Nc();
  int NinG = 2 * Nc * Nc;

  assert(Sigmap.nin() == NinG);
  assert(Sigmap.nvol() == m_Nvol);
  assert(Sigmap.nex() == m_Ndim);

  Field_G Sigma(m_Nvol, m_Ndim);

  Field_G C(m_Nvol, 1);
  Field_G sigmap_tmp(m_Nvol, 1), Xi(m_Nvol, 1);

  for (int mu = 0; mu < m_Ndim; ++mu) {
    m_U[mu].setpart_ex(0, U, mu);
  }

  Field_G c_tmp(m_Nvol, 1);
  for (int mu = 0; mu < m_Ndim; ++mu) {
    C = 0.0;
    for (int nu = 0; nu < m_Ndim; ++nu) {
      if (nu == mu) continue;
      double rho = m_rho[mu + m_Ndim * nu];
      staple(c_tmp, m_U[mu], m_U[nu], mu, nu);
      C.addpart_ex(0, c_tmp, 0, rho);
    }

    sigmap_tmp.setpart_ex(0, Sigmap, mu);

    double alpha = m_rho[mu + m_Ndim * mu];
    m_proj->force_recursive(Xi, m_iTheta[mu],
                            alpha, sigmap_tmp, C, m_U[mu]);
    Sigma.setpart_ex(mu, Xi, 0);
  }

  Field_G sigma_tmp(m_Nvol, 1);
  for (int mu = 0; mu < m_Ndim; ++mu) {
    for (int nu = 0; nu < m_Ndim; ++nu) {
      if (nu == mu) continue;
      double rho = m_rho[mu + m_Ndim * nu];
      force_each(sigma_tmp, m_U[mu], m_U[nu],
                 m_iTheta[mu], m_iTheta[nu], mu, nu);
      Sigma.addpart_ex(mu, sigma_tmp, 0, rho);
    }
  }

  return (Field)Sigma;
}


//====================================================================
void ForceSmear_APE::force_each(Field_G& Sigma_mu,
                                const Field_G& V_mu, const Field_G& V_nu,
                                const Field_G& iTheta_mu,
                                const Field_G& iTheta_nu,
                                int mu, int nu)
{
  Field_G vt1(m_Nvol, 1), vt2(m_Nvol, 1), vt3(m_Nvol, 1);

  Sigma_mu = 0.0;

  m_shift.backward(vt1, V_nu, mu);
  m_shift.backward(vt2, V_mu, nu);
  vt3.mult_Field_Gnd(0, vt1, 0, vt2, 0);
  Sigma_mu.multadd_Field_Gnd(0, vt3, 0, iTheta_nu, 0, 1.0);

  vt3.mult_Field_Gdn(0, iTheta_mu, 0, V_nu, 0);
  vt2.mult_Field_Gdn(0, vt1, 0, vt3, 0);
  m_shift.forward(vt3, vt2, nu);
  Sigma_mu += vt3;

  vt3.mult_Field_Gdn(0, V_mu, 0, iTheta_nu, 0);
  vt2.mult_Field_Gdn(0, vt1, 0, vt3, 0);
  m_shift.forward(vt3, vt2, nu);
  Sigma_mu += vt3;

  m_shift.backward(vt1, iTheta_nu, mu);
  m_shift.backward(vt2, V_mu, nu);
  vt3.mult_Field_Gnd(0, vt1, 0, vt2, 0);
  Sigma_mu.multadd_Field_Gnd(0, vt3, 0, V_nu, 0, 1.0);

  vt2.mult_Field_Gdd(0, vt1, 0, V_mu, 0);
  vt3.mult_Field_Gnn(0, vt2, 0, V_nu, 0);
  m_shift.forward(vt2, vt3, nu);
  Sigma_mu += vt2;

  m_shift.backward(vt1, V_nu, mu);
  m_shift.backward(vt2, iTheta_mu, nu);
  vt3.mult_Field_Gnd(0, vt1, 0, vt2, 0);
  Sigma_mu.multadd_Field_Gnd(0, vt3, 0, V_nu, 0, 1.0);
}


//====================================================================
void ForceSmear_APE::staple(Field_G& c,
                            const Field_G& u_mu, const Field_G& u_nu,
                            int mu, int nu)
{
  Field_G v1(m_Nvol, 1), v2(m_Nvol, 1);

  //- upper direction
  m_shift.backward(v1, u_mu, nu);
  v2.mult_Field_Gnn(0, u_nu, 0, v1, 0);

  m_shift.backward(v1, u_nu, mu);
  c.mult_Field_Gnd(0, v2, 0, v1, 0);

  //- lower direction
  m_shift.backward(v2, u_nu, mu);
  v1.mult_Field_Gnn(0, u_mu, 0, v2, 0);
  v2.mult_Field_Gdn(0, u_nu, 0, v1, 0);
  m_shift.forward(v1, v2, nu);
  c.addpart_ex(0, v1, 0);
}


//====================================================================
//============================================================END=====