field_F_imp.cpp

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#include "Field/field_F.h"
#include "Field/field_thread-inc.h"
 
#if defined USE_GROUP_SU3
#include "field_F_imp_SU3-inc.h"
#elif defined USE_GROUP_SU2
#include "field_F_imp_SU2-inc.h"
#elif defined USE_GROUP_SU_N
#include "field_F_imp_SU_N-inc.h"
#endif
 
//====================================================================
void Field_F::check()
{
  //  assert(NC == CommonParameters::Nc());
  //  assert(ND == CommonParameters::Nd());
 
  check_Nc();
}
 
 
//====================================================================
void mult_Field_Gn(Field_F& y, const int ex,
                   const Field_G& U, const int ex1,
                   const Field_F& x, const int ex2)
{
  assert(ex < y.nex());
  assert(ex1 < U.nex());
  assert(ex2 < x.nex());
  int Nvol = y.nvol();
  assert(U.nvol() == Nvol);
  assert(x.nvol() == Nvol);
 
  const int Nd   = x.nd();
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * Nd;
  const int Ndf  = Nc2 * Nc;
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  double       *v = y.ptr(0, is, ex);
  const double *g = U.ptr(0, is, ex1);
  const double *w = x.ptr(0, is, ex2);
 
  for (int site = 0; site < ns; ++site) {
    int ig = Ndf * site;
    int iv = Ncd2 * site;
    for (int s = 0; s < Nd; ++s) {
      for (int ic = 0; ic < Nc; ++ic) {
        int ig2 = ic * Nc2 + ig;
        int iv2 = s * Nc2 + iv;
        v[2 * ic + iv2]     = mult_Gn_r(&g[ig2], &w[iv2], Nc);
        v[2 * ic + 1 + iv2] = mult_Gn_i(&g[ig2], &w[iv2], Nc);
      }
    }
  }
}
 
 
//====================================================================
void mult_Field_Gd(Field_F& y, const int ex,
                   const Field_G& U, const int ex1,
                   const Field_F& x, const int ex2)
{
  assert(ex < y.nex());
  assert(ex1 < U.nex());
  assert(ex2 < x.nex());
  int Nvol = y.nvol();
  assert(U.nvol() == Nvol);
  assert(x.nvol() == Nvol);
 
  const int Nd   = x.nd();
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * Nd;
  const int Ndf  = Nc2 * Nc;
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  double       *v = y.ptr(0, is, ex);
  const double *g = U.ptr(0, is, ex1);
  const double *w = x.ptr(0, is, ex2);
 
  for (int site = 0; site < ns; ++site) {
    int ig = Ndf * site;
    int iv = Ncd2 * site;
    for (int s = 0; s < Nd; ++s) {
      for (int ic = 0; ic < Nc; ++ic) {
        int ig2 = ic * 2 + ig;
        int iv2 = s * Nc2 + iv;
        v[2 * ic + iv2]     = mult_Gd_r(&g[ig2], &w[iv2], Nc);
        v[2 * ic + 1 + iv2] = mult_Gd_i(&g[ig2], &w[iv2], Nc);
      }
    }
  }
}
 
 
//====================================================================
void multadd_Field_Gn(Field_F& y, const int ex,
                      const Field_G& U, const int ex1,
                      const Field_F& x, const int ex2,
                      const double a)
{
  assert(ex < y.nex());
  assert(ex1 < U.nex());
  assert(ex2 < x.nex());
  int Nvol = y.nvol();
  assert(U.nvol() == Nvol);
  assert(x.nvol() == Nvol);
 
  const int Nd   = x.nd();
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * Nd;
  const int Ndf  = Nc2 * Nc;
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  double       *v = y.ptr(0, is, ex);
  const double *g = U.ptr(0, is, ex1);
  const double *w = x.ptr(0, is, ex2);
 
  for (int site = 0; site < ns; ++site) {
    int ig = Ndf * site;
    int iv = Ncd2 * site;
    for (int s = 0; s < Nd; ++s) {
      for (int ic = 0; ic < Nc; ++ic) {
        int ig2 = ic * Nc2 + ig;
        int iv2 = s * Nc2 + iv;
        v[2 * ic + iv2]     += a * mult_Gn_r(&g[ig2], &w[iv2], Nc);
        v[2 * ic + 1 + iv2] += a * mult_Gn_i(&g[ig2], &w[iv2], Nc);
      }
    }
  }
}
 
 
//====================================================================
void multadd_Field_Gd(Field_F& y, const int ex,
                      const Field_G& U, const int ex1,
                      const Field_F& x, const int ex2,
                      const double a)
{
  assert(ex < y.nex());
  assert(ex1 < U.nex());
  assert(ex2 < x.nex());
  int Nvol = y.nvol();
  assert(U.nvol() == Nvol);
  assert(x.nvol() == Nvol);
 
  const int Nd   = x.nd();
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * Nd;
  const int Ndf  = Nc2 * Nc;
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  double       *v = y.ptr(0, is, ex);
  const double *g = U.ptr(0, is, ex1);
  const double *w = x.ptr(0, is, ex2);
 
  for (int site = 0; site < ns; ++site) {
    int ig = Ndf * site;
    int iv = Ncd2 * site;
    for (int s = 0; s < Nd; ++s) {
      for (int ic = 0; ic < Nc; ++ic) {
        int ig2 = ic * 2 + ig;
        int iv2 = s * Nc2 + iv;
        v[2 * ic + iv2]     += a * mult_Gd_r(&g[ig2], &w[iv2], Nc);
        v[2 * ic + 1 + iv2] += a * mult_Gd_i(&g[ig2], &w[iv2], Nc);
      }
    }
  }
}
 
 
//====================================================================
void mult_GM(Field_F& y, const GammaMatrix& gm, const Field_F& x)
{
  assert(x.nex() == y.nex());
  int Nvol = y.nvol();
  assert(x.nvol() == Nvol);
 
  const int Nd   = x.nd();
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * Nd;
 
  int    id[Nd];
  int    idc_r[Nd];
  int    idc_i[Nd];
  double gv_r[Nd];
  double gv_i[Nd];
 
  for (int s = 0; s < Nd; ++s) {
    id[s]    = gm.index(s);
    gv_r[s]  = gm.value_r(s);
    gv_i[s]  = gm.value_i(s);
    idc_r[s] = gm.index_c(s);
    idc_i[s] = 1 - idc_r[s];
  }
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  const int Nex = y.nex();
 
  for (int ex = 0; ex < Nex; ++ex) {
    double       *v = y.ptr(0, is, ex);
    const double *w = x.ptr(0, is, ex);
 
    for (int site = 0; site < ns; ++site) {
      int iv = Ncd2 * site;
 
      for (int s = 0; s < Nd; ++s) {
        int iv2 = s * Nc2 + iv;
        int iw2 = id[s] * Nc2 + iv;
 
        for (int ic = 0; ic < Nc; ++ic) {
          v[2 * ic + iv2]     = gv_r[s] * w[2 * ic + idc_r[s] + iw2];
          v[2 * ic + 1 + iv2] = gv_i[s] * w[2 * ic + idc_i[s] + iw2];
        }
      }
    }
  }
}
 
 
//====================================================================
void mult_iGM(Field_F& y, const GammaMatrix& gm, const Field_F& x)
{
  assert(x.nex() == y.nex());
  int Nvol = y.nvol();
  assert(x.nvol() == Nvol);
 
  assert(x.nd() == ND);
  const int Nc   = x.nc();
  const int Nc2  = x.nc2();
  const int Ncd2 = Nc2 * ND;
 
  int    id[ND];
  int    idc_r[ND];
  int    idc_i[ND];
  double gv_r[ND];
  double gv_i[ND];
 
  for (int s = 0; s < ND; ++s) {
    id[s]    = gm.index(s);
    gv_r[s]  = -gm.value_i(s);
    gv_i[s]  = gm.value_r(s);
    idc_r[s] = 1 - gm.index_c(s);
    idc_i[s] = 1 - idc_r[s];
  }
 
  int ith, nth, is, ns;
  set_threadtask(ith, nth, is, ns, Nvol);
 
  const int Nex = y.nex();
 
  for (int ex = 0; ex < Nex; ++ex) {
    double       *v = y.ptr(0, is, ex);
    const double *w = x.ptr(0, is, ex);
 
    for (int site = 0; site < ns; ++site) {
      int iv = Ncd2 * site;
 
      for (int s = 0; s < ND; ++s) {
        int iv2 = s * Nc2 + iv;
        int iw2 = id[s] * Nc2 + iv;
        for (int ic = 0; ic < Nc; ++ic) {
          v[2 * ic + iv2]     = gv_r[s] * w[2 * ic + idc_r[s] + iw2];
          v[2 * ic + 1 + iv2] = gv_i[s] * w[2 * ic + idc_i[s] + iw2];
        }
      }
    }
  }
}
 
 
//====================================================================
void mult_GMproj(Field_F& y,
                 const int pm, const GammaMatrix& gm,
                 const Field_F& w)
{
  assert(w.nvol() == y.nvol());
  assert(w.nex() == y.nex());
 
  mult_GM(y, gm, w);
 
  if (pm == 1) {
    axpy(y, 1.0, w);  // y += w;
    scal(y, 0.5);     // y *= 0.5;
  } else if (pm == -1) {
    axpy(y, -1.0, w); // y -= w     i.e. y = (gamma - 1) * w
    scal(y, -0.5);    // y *= -0.5  i.e. y = (1 - gamma)/2 * w
  } else {
    vout.crucial("Error at %s: wrong pm.\n", __func__);
    exit(EXIT_FAILURE);
  }
}
 
 
//====================================================================
void mult_GMproj2(Field_F& y,
                  const int pm, const GammaMatrix& gm,
                  const Field_F& w)
{
  assert(w.nvol() == y.nvol());
  assert(w.nex() == y.nex());
 
  mult_GM(y, gm, w);
 
  if (pm == 1) {
    axpy(y, 1.0, w);  // y += w;
  } else if (pm == -1) {
    axpy(y, -1.0, w); // y -= w;
    scal(y, -1.0);    // y *= -1.0;
  } else {
    vout.crucial("Error at %s: wrong pm.\n", __func__);
    exit(EXIT_FAILURE);
  }
}
 
 
//====================================================================
void mult_GMproj2(Field_F& y,
                  const double nu_s,
                  const int pm,
                  const double r_s,
                  const GammaMatrix& gm,
                  const Field_F& w)
{
  assert(w.nvol() == y.nvol());
  assert(w.nex() == y.nex());
 
  mult_GM(y, gm, w);
  scal(y, nu_s);  // y *= nu_s;
 
  if (pm == 1) {
    axpy(y, r_s, w);  // y += r_s * w;
  } else if (pm == -1) {
    axpy(y, -r_s, w); // y -= r_s * w  i.e. y = (nu_s * gamma - r_s) * w
    scal(y, -1.0);    // y *= -1.0     i.e. y = (r_s - nu_s * gamma) * w
  } else {
    vout.crucial("Error at %s: wrong pm = %d\n", __func__, pm);
    exit(EXIT_FAILURE);
  }
}
 
 
//============================================================END=====