tensorProd.cpp

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#include "Force/Fermion/tensorProd.h"
#include <cassert>
 
// This implementation only applies to SU(3) group and Nd=4 case.
#if defined USE_GROUP_SU3
#define NC      3
#define NC2     6
#define NDF     18
#define ND      4
#define NCD2    24
#define C1      0
#define C2      2
#define C3      4
#elif defined USE_GROUP_SU2
#define NC      2
#define NC2     4
#define NDF     8
#define ND      4
#define NCD2    16
#endif
 
//====================================================================
void tensorProd_Field_F(Field_G& u, const Field_F& v1, const Field_F& v2)
{
  return tensorProd_Field_F(u, 0, v1, v2);
}
 
 
//====================================================================
void tensorProd_Field_F(Field_G& u, const int ex, const Field_F& v1, const Field_F& v2)
{
  const int Nvol = u.nvol();
 
  assert(Nvol == v1.nvol());
  assert(Nvol == v2.nvol());
  assert(ex < u.nex());
  assert(v1.nex() == 1);
  assert(v2.nex() == 1);
 
#if defined USE_GROUP_SU_N
  const int NC   = CommonParameters::Nc();
  const int ND   = CommonParameters::Nd();
  const int NC2  = 2 * NC;
  const int NDF  = 2 * NC * NC;
  const int NCD2 = NC2 * ND;
#endif
 
  const double *w1 = v1.ptr(0);
  const double *w2 = v2.ptr(0);
  double       *g  = u.ptr(0, 0, ex);
 
  for (int site = 0; site < Nvol; ++site) {
    int iw = NCD2 * site;
    int ig = NDF * site;
 
    for (int c1 = 0; c1 < NC; ++c1) {
      for (int c2 = 0; c2 < NC; ++c2) {
        int c1_r = 2 * c1;
        int c1_i = 2 * c1 + 1;
 
        int c2_r = 2 * c2;
        int c2_i = 2 * c2 + 1;
 
        int ig_r = c2 * 2 + c1 * NC2 + ig;
        int ig_i = c2 * 2 + c1 * NC2 + ig + 1;
 
        g[ig_r] = 0.0;
        g[ig_i] = 0.0;
 
        for (int s = 0; s < ND; ++s) {
          g[ig_r] += w1[c2_r + s * NC2 + iw] * w2[c1_r + s * NC2 + iw]
                     + w1[c2_i + s * NC2 + iw] * w2[c1_i + s * NC2 + iw];
          g[ig_i] += w1[c2_r + s * NC2 + iw] * w2[c1_i + s * NC2 + iw]
                     - w1[c2_i + s * NC2 + iw] * w2[c1_r + s * NC2 + iw];
        }
      }
    }
  }
}
 
 
//================================================================