Beispiel #1
0
static int
qopqdp_force_random(lua_State *L)
{
#define NC QDP_get_nc(g->links[0])
  BEGIN_ARGS;
  GET_GAUGE(g);
  END_ARGS;
  QDP_RandomState *rs = g->lat->rs;
  qassert(rs!=NULL);
  if(QLA_Nc==3) { // use MILC conventions
    QLA_RandomState *s = QDP_expose_S(rs);
    for(int i=0; i<g->nd; i++) {
      QDP_M_eq_funcia(g->links[i], randforce, s, QDP_all_L(g->qlat));
    }
    QDP_reset_S(rs);
  } else {
    QDP_ColorMatrix *m = QDP_create_M_L(g->qlat);
    for(int i=0; i<g->nd; i++) {
      QDP_M_eq_gaussian_S(m, rs, QDP_all_L(g->qlat));
      QDP_M_eq_antiherm_M(g->links[i], m, QDP_all_L(g->qlat));
    }
    QDP_destroy_M(m);
  }
  return 0;
#undef NC
}
void 
QOP_hisq_force_multi_fnmat2_qdp(QOP_info_t *info,  
				QOP_FermionLinksHisq *flh,
				QDP_ColorMatrix *force[], 
				QOP_hisq_coeffs_t *hisq_coeff,
				REAL *residues,
				QDP_ColorVector *x[], 
				int *n_orders_naik)
{
#define NC QDP_get_nc(force[0])
  double dtime = QOP_time();

  QDP_ColorMatrix *deriv[4];
  for(int mu=0; mu<4; mu++) {
    deriv[mu] = QDP_create_M();
    QDP_M_eq_zero(deriv[mu], QDP_all);
  }
  QOP_hisq_deriv_multi_fnmat2_qdp(info, flh, deriv, hisq_coeff, residues, x, n_orders_naik);

  // contraction with the link in question should be done here,
  // after contributions from all levels of smearing are taken into account
  // Put antihermitian traceless part into momentum 
  // add force to momentum
  QDP_ColorMatrix *mtmp = QDP_create_M();
  for(int dir=0; dir<4; dir++) {
    QDP_M_eq_M_times_Ma(mtmp, flh->U_links[dir], deriv[dir], QDP_all);
    QDP_M_eq_antiherm_M(deriv[dir], mtmp, QDP_all);
    QDP_M_peq_M(force[dir], deriv[dir], QDP_all);
  }
  info->final_flop += (4.*(198+24+18))*QDP_sites_on_node; 

  QDP_destroy_M(mtmp);
  for(int mu=0; mu<4; mu++) {
    QDP_destroy_M(deriv[mu]);
  }

  info->final_sec = QOP_time() - dtime;
  //QOP_printf0("HISQ force flops = %g\n", info->final_flop);
#undef NC
}
void
QOP_asqtad_force_multi_asvec_qdp(QOP_info_t *info, QDP_ColorMatrix *links[],
				 QDP_ColorMatrix *force[], QOP_asqtad_coeffs_t *coef,
				 REAL eps[], QDP_ColorVector *xin[], int nsrc)
{
#define NC QDP_get_nc(xin[0])
  REAL coeff[nsrc];
  REAL OneLink[nsrc], Lepage[nsrc], Naik[nsrc], FiveSt[nsrc], ThreeSt[nsrc], SevenSt[nsrc];
  REAL mNaik[nsrc], mLepage[nsrc], mFiveSt[nsrc], mThreeSt[nsrc], mSevenSt[nsrc];

  QDP_ColorVector *P3[8][nsrc];

  QDP_ColorVector *P5[8][nsrc];
  QDP_ColorVector *P5tmp[8][8][nsrc];
  QDP_ColorVector *P5s[4][nsrc];
  QDP_ColorVector *P5tmps[4][8][nsrc];

  //QDP_ColorVector *xin[nsrc];
  QDP_ColorVector *xintmp[8][nsrc];
  QDP_ColorVector *Pmu[nsrc];
  QDP_ColorVector *Pmutmp[8][nsrc];
  QDP_ColorVector *Pnumu[nsrc];
  QDP_ColorVector *Pnumutmp[8][nsrc];
  QDP_ColorVector *Prhonumu[nsrc];
  QDP_ColorVector *Prhonumutmp[8][nsrc];
  QDP_ColorVector *P7[nsrc];
  QDP_ColorVector *P7tmp[8][nsrc];
  QDP_ColorVector *P7rho[nsrc];
  QDP_ColorVector *ttv[nsrc];

  int i, dir;
  int mu, nu, rho, sig;

  double nflop1 = 253935;
  double nflop2 = 433968;
  double nflop = nflop1 + (nflop2-nflop1)*(nsrc-1);
  double dtime;
  dtime = -QOP_time();

  ASQTAD_FORCE_BEGIN;

  QOP_trace("test 1\n");
  /* setup parallel transport */
  QDP_ColorMatrix *tmpmat = QDP_create_M();
  for(i=0; i<QOP_common.ndim; i++) {
    fbshift[i] = QDP_neighbor[i];
    fbshiftdir[i] = QDP_forward;
    fblink[i] = links[i];
    fbshift[OPP_DIR(i)] = QDP_neighbor[i];
    fbshiftdir[OPP_DIR(i)] = QDP_backward;
    fblink[OPP_DIR(i)] = QDP_create_M();
    QDP_M_eq_sM(tmpmat, fblink[i], QDP_neighbor[i], QDP_backward, QDP_all);
    QDP_M_eq_Ma(fblink[OPP_DIR(i)], tmpmat, QDP_all);
  }

  tv = ttv;
  for(i=0; i<nsrc; i++) {
    tv[i] = QDP_create_V();
  }

  QOP_trace("test 2\n");
  /* Allocate temporary vectors */
  for(i=0; i<nsrc; i++) {
    Pmu[i] = QDP_create_V();
    Pnumu[i] = QDP_create_V();
    Prhonumu[i] = QDP_create_V();
    P7[i] = QDP_create_V();
    P7rho[i] = QDP_create_V();
    for(dir=0; dir<8; dir++) {
      xintmp[dir][i] = QDP_create_V();
      Pmutmp[dir][i] = QDP_create_V();
      Pnumutmp[dir][i] = QDP_create_V();
      Prhonumutmp[dir][i] = QDP_create_V();
      P7tmp[dir][i] = QDP_create_V();
    }
#if 1
    for(mu=0; mu<4; mu++) {
      P5s[mu][i] = QDP_create_V();
      for(dir=0; dir<8; dir++) {
	P5tmps[mu][dir][i] = QDP_create_V();
      }
    }
#else
    for(mu=0; mu<8; mu++) {
      P5[mu][i] = QDP_create_V();
      for(dir=0; dir<8; dir++) {
	P5tmp[mu][dir][i] = QDP_create_V();
	//printf("%p %p\n", P5tmp[mu][dir][i], &(P5tmp[mu][dir][i])); fflush(stdout);
	if(P5tmp[mu][dir][i]==NULL) {
	  fprintf(stderr, "error: can't create V\n");
	  QDP_abort();
	}
      }
    }
#endif
  }
  //printf("%p\n", P5tmp[0][4][0]); fflush(stdout);

  for(mu=0; mu<8; mu++) {
    for(i=0; i<nsrc; i++) {
      P3[mu][i] = QDP_create_V();
      //P5[mu][i] = QDP_create_V();
    }
  }

  for(mu=0; mu<4; mu++) {
    tempmom_qdp[mu] = force[mu];
    QDP_M_eqm_M(tempmom_qdp[mu], tempmom_qdp[mu], QDP_odd);
  }

  /* Path coefficients times fermion epsilon */
  /* Load path coefficients from table */
  for(i=0; i<nsrc; i++) {
    OneLink[i] = coef->one_link     * eps[i];
    Naik[i]    = coef->naik         * eps[i]; mNaik[i]    = -Naik[i];
    ThreeSt[i] = coef->three_staple * eps[i]; mThreeSt[i] = -ThreeSt[i];
    FiveSt[i]  = coef->five_staple  * eps[i]; mFiveSt[i]  = -FiveSt[i];
    SevenSt[i] = coef->seven_staple * eps[i]; mSevenSt[i] = -SevenSt[i];
    Lepage[i]  = coef->lepage       * eps[i]; mLepage[i]  = -Lepage[i];
  }

#if 0
  printf("nsrc = %i\n", nsrc);
  printf("coeffs = %g %g %g %g %g %g\n", OneLink[0], ThreeSt[0], FiveSt[0],
	 SevenSt[0], Lepage[0], Naik[0]);
#endif

  /* *************************************** */

  QOP_trace("start force loop\n");
  for(mu=0; mu<8; mu++) {
    //u_shift_hw_fermion(temp_x_qdp, Pmu, OPP_DIR(mu), temp_hw[OPP_DIR(mu)]);
    u_shift_color_vecs(xin, Pmu, OPP_DIR(mu), nsrc, xintmp[OPP_DIR(mu)]);

    for(sig=0; sig<8; sig++) if( (sig!=mu)&&(sig!=OPP_DIR(mu)) ) {
      //u_shift_hw_fermion(Pmu, P3[sig], sig, temp_hw[sig]);
      u_shift_color_vecs(Pmu, P3[sig], sig, nsrc, Pmutmp[sig]);

      if(GOES_FORWARDS(sig)) {
	/* Add the force F_sig[x+mu]:         x--+             *
	 *                                   |   |             *
	 *                                   o   o             *
	 * the 1 link in the path: - (numbering starts form 0) */
	add_forces_to_mom(P3[sig], Pmu, sig, mThreeSt, nsrc);
      }
    }

    for(nu=0; nu<8; nu++) if( (nu!=mu)&&(nu!=OPP_DIR(mu)) ) {
      int nP5 = 0;
      //Pnumu = hw_qdp[OPP_DIR(nu)];
      //u_shift_hw_fermion(Pmu, Pnumu, OPP_DIR(nu), temp_hw[OPP_DIR(nu)]);
      u_shift_color_vecs(Pmu, Pnumu, OPP_DIR(nu), nsrc, Pmutmp[OPP_DIR(nu)]);
      //QDP_V_veq_V(Pnumu, P3[OPP_DIR(nu)], QDP_all, nsrc);
      for(sig=0; sig<8; sig++) if( (sig!=mu)&&(sig!=OPP_DIR(mu)) &&
				   (sig!=nu)&&(sig!=OPP_DIR(nu)) ) {
#if 1
	for(i=0; i<nsrc; i++) {
	  P5[sig][i] = P5s[nP5][i];
	  for(dir=0; dir<8; dir++) P5tmp[sig][dir][i] = P5tmps[nP5][dir][i];
	}
#endif
	nP5++;
	//u_shift_hw_fermion(Pnumu, P5[sig], sig, temp_hw[sig]);
	u_shift_color_vecs(Pnumu, P5[sig], sig, nsrc, Pnumutmp[sig]);

	if(GOES_FORWARDS(sig)) {
	  /* Add the force F_sig[x+mu+nu]:      x--+             *
	   *                                   |   |             *
	   *                                   o   o             *
	   * the 2 link in the path: + (numbering starts form 0) */
	  add_forces_to_mom(P5[sig], Pnumu, sig, FiveSt, nsrc);
	}
      }
      QOP_trace("test 4\n");
      for(rho=0; rho<8; rho++) if( (rho!=mu)&&(rho!=OPP_DIR(mu)) &&
				   (rho!=nu)&&(rho!=OPP_DIR(nu)) ) {
	//Prhonumu = hw_qdp[OPP_DIR(rho)];
	//u_shift_hw_fermion(Pnumu, Prhonumu, OPP_DIR(rho), 
	//		 temp_hw[OPP_DIR(rho)] );
	  u_shift_color_vecs(Pnumu, Prhonumu, OPP_DIR(rho), nsrc,
			     Pnumutmp[OPP_DIR(rho)]);
	  //QDP_V_veq_V(Prhonumu, P5[OPP_DIR(rho)], QDP_all, nsrc);
	for(sig=0; sig<8; sig++) if( (sig!=mu )&&(sig!=OPP_DIR(mu )) &&
				     (sig!=nu )&&(sig!=OPP_DIR(nu )) &&
				     (sig!=rho)&&(sig!=OPP_DIR(rho)) ) {
	  /* Length 7 paths */
	  //P7 = hw_qdp[sig];
	  //u_shift_hw_fermion(Prhonumu, P7, sig, temp_hw[sig] );
  QOP_trace("test 43\n");
	  u_shift_color_vecs(Prhonumu, P7, sig, nsrc, Prhonumutmp[sig]);
  QOP_trace("test 44\n");
	  //QDP_V_eq_r_times_V(P7[0], &SevenSt[0], P7[0], QDP_all);
	  //QDP_V_eq_r_times_V(P7[1], &SevenSt[1], P7[1], QDP_all);
	  if(GOES_FORWARDS(sig)) {
	    /* Add the force F_sig[x+mu+nu+rho]:  x--+             *
	     *                                   |   |             *
	     *                                   o   o             *
	     * the 3 link in the path: - (numbering starts form 0) */
  QOP_trace("test 45\n");
	    add_forces_to_mom(P7, Prhonumu, sig, mSevenSt, nsrc);
  QOP_trace("test 46\n");
	    //mom_meq_force(P7, Prhonumu, sig);
	  }
	  /* Add the force F_rho the 2(4) link in the path: +     */
	  //P7rho = hw_qdp[rho];
	  //u_shift_hw_fermion(P7, P7rho, rho, temp_hw[rho]);
  QOP_trace("test 47\n");
	  u_shift_color_vecs(P7, P7rho, rho, nsrc, P7tmp[rho]);
  QOP_trace("test 48\n");
	  side_link_forces(rho,sig,SevenSt,Pnumu,P7,Prhonumu,P7rho, nsrc);
  QOP_trace("test 49\n");
	  //side_link_3f_force2(rho,sig,Pnumu,P7,Prhonumu,P7rho);
	  /* Add the P7rho vector to P5 */
	  for(i=0; i<nsrc; i++) {
	    if(FiveSt[i]!=0) coeff[i] = SevenSt[i]/FiveSt[i];
	    else coeff[i] = 0;
  QOP_trace("test 410\n");
	    QDP_V_peq_r_times_V(P5[sig][i], &coeff[i], P7rho[i], QDP_all);
  QOP_trace("test 411\n");
	  }
	} /* sig */
      } /* rho */
  QOP_trace("test 5\n");
#define P5nu P7
      for(sig=0; sig<8; sig++) if( (sig!=mu)&&(sig!=OPP_DIR(mu)) &&
				   (sig!=nu)&&(sig!=OPP_DIR(nu)) ) {
	/* Length 5 paths */
	/* Add the force F_nu the 1(3) link in the path: -     */
	//P5nu = hw_qdp[nu];
	//u_shift_hw_fermion(P5[sig], P5nu, nu, temp_hw[nu]);
	u_shift_color_vecs(P5[sig], P5nu, nu, nsrc, P5tmp[sig][nu]);
	side_link_forces(nu, sig, mFiveSt, Pmu, P5[sig], Pnumu, P5nu, nsrc);
	/* Add the P5nu vector to P3 */
	for(i=0; i<nsrc; i++) {
	  if(ThreeSt[i]!=0) coeff[i] = FiveSt[i]/ThreeSt[i]; 
	  else coeff[i] = 0;
	  QDP_V_peq_r_times_V(P3[sig][i], &coeff[i], P5nu[i], QDP_all);
	}
      } /* sig */
    } /* nu */

#define Pmumu Pnumu
#define Pmumutmp Pnumutmp
#define P5sig Prhonumu
#define P5sigtmp Prhonumutmp
#define P3mu P7
#define Popmu P7
#define Pmumumu P7
    /* Now the Lepage term... It is the same as 5-link paths with
       nu=mu and FiveSt=Lepage. */
    //u_shift_hw_fermion(Pmu, Pmumu, OPP_DIR(mu), temp_hw[OPP_DIR(mu)] );
    u_shift_color_vecs(Pmu, Pmumu, OPP_DIR(mu), nsrc, Pmutmp[OPP_DIR(mu)]);

    for(sig=0; sig<8; sig++) if( (sig!=mu)&&(sig!=OPP_DIR(mu)) ) {
      //P5sig = hw_qdp[sig];
      //u_shift_hw_fermion(Pmumu, P5sig, sig, temp_hw[sig]);
      u_shift_color_vecs(Pmumu, P5sig, sig, nsrc, Pmumutmp[sig]);
      if(GOES_FORWARDS(sig)) {
	/* Add the force F_sig[x+mu+nu]:      x--+             *
	 *                                   |   |             *
	 *                                   o   o             *
	 * the 2 link in the path: + (numbering starts form 0) */
	add_forces_to_mom(P5sig, Pmumu, sig, Lepage, nsrc);
      }
      /* Add the force F_nu the 1(3) link in the path: -     */
      //P5nu = hw_qdp[mu];
      //u_shift_hw_fermion(P5sig, P5nu, mu, temp_hw[mu]);
      u_shift_color_vecs(P5sig, P5nu, mu, nsrc, P5sigtmp[mu]);
      side_link_forces(mu, sig, mLepage, Pmu, P5sig, Pmumu, P5nu, nsrc);
      /* Add the P5nu vector to P3 */
      for(i=0; i<nsrc; i++) {
	if(ThreeSt[i]!=0) coeff[i] = Lepage[i]/ThreeSt[i];
	else coeff[i] = 0;
	QDP_V_peq_r_times_V(P3[sig][i], &coeff[i], P5nu[i], QDP_all);
      }

      /* Length 3 paths (Not the Naik term) */
      /* Add the force F_mu the 0(2) link in the path: +     */
      if(GOES_FORWARDS(mu)) {
	//P3mu = hw_qdp[mu];  /* OK to clobber P5nu */
	//u_shift_hw_fermion(P3[sig], P3mu, mu, temp_hw[mu]);
	//u_shift_color_vecs(P3[sig], P3mu, mu, 2, temp_hw[mu]);
	for(i=0; i<nsrc; i++) {
	  QDP_V_eq_V(P5sig[i], P3[sig][i], QDP_all);
	}
	u_shift_color_vecs(P5sig, P3mu, mu, nsrc, P5sigtmp[mu]);
      }
      /* The above shift is not needed if mu is backwards */
      side_link_forces(mu, sig, ThreeSt, xin, P3[sig], Pmu, P3mu, nsrc);
    }

    /* Finally the OneLink and the Naik term */
    if(GOES_BACKWARDS(mu)) {
      /* Do only the forward terms in the Dslash */
      /* Because I have shifted with OPP_DIR(mu) Pmu is a forward *
       * shift.                                                   */
      /* The one link */
      add_forces_to_mom(Pmu, xin, OPP_DIR(mu), OneLink, nsrc);
      /* For the same reason Pmumu is the forward double link */

      /* Popmu is a backward shift */
      //Popmu = hw_qdp[mu]; /* OK to clobber P3mu */
      //u_shift_hw_fermion(xin, Popmu, mu, temp_hw[mu]);
      u_shift_color_vecs(xin, Popmu, mu, nsrc, xintmp[mu]);
      /* The Naik */
      /* link no 1: - */
      add_forces_to_mom(Pmumu, Popmu, OPP_DIR(mu), mNaik, nsrc);
      /* Pmumumu can overwrite Popmu which is no longer needed */
      //Pmumumu = hw_qdp[OPP_DIR(mu)];
      //u_shift_hw_fermion(Pmumu, Pmumumu, OPP_DIR(mu), temp_hw[OPP_DIR(mu)]);
      u_shift_color_vecs(Pmumu, Pmumumu, OPP_DIR(mu), nsrc, Pmumutmp[OPP_DIR(mu)]);
      /* link no 0: + */
      add_forces_to_mom(Pmumumu, xin, OPP_DIR(mu), Naik, nsrc);
    } else {
      /* The rest of the Naik terms */
      //Popmu = hw_qdp[mu]; /* OK to clobber P3mu */
      //u_shift_hw_fermion(xin, Popmu, mu, temp_hw[mu]);
      u_shift_color_vecs(xin, Popmu, mu, nsrc, xintmp[mu]);
      /* link no 2: + */
      /* Pmumu is double backward shift */
      add_forces_to_mom(Popmu, Pmumu, mu, Naik, nsrc);
    }
    /* Here we have to do together the Naik term and the one link term */

  }/* mu */
  QOP_trace("test 6\n");
  QOP_trace("test 7\n");

  for(mu=0; mu<4; mu++) {
    QDP_M_eq_M(tmpmat, tempmom_qdp[mu], QDP_even);
    QDP_M_eqm_M(tmpmat, tempmom_qdp[mu], QDP_odd);
    QDP_M_eq_antiherm_M(tempmom_qdp[mu], tmpmat, QDP_all);
  }
  QDP_destroy_M(tmpmat);

  //printf("%p\n", P5tmp[0][4][0]); fflush(stdout);
  //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
  /* Free temporary vectors */
  for(i=0; i<nsrc; i++) {
    QDP_destroy_V(Pmu[i]);
    QDP_destroy_V(Pnumu[i]);
    QDP_destroy_V(Prhonumu[i]);
    QDP_destroy_V(P7[i]);
    QDP_destroy_V(P7rho[i]);
    //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
    for(dir=0; dir<8; dir++) {
      QDP_destroy_V(xintmp[dir][i]);
      QDP_destroy_V(Pmutmp[dir][i]);
      QDP_destroy_V(Pnumutmp[dir][i]);
      QDP_destroy_V(Prhonumutmp[dir][i]);
      QDP_destroy_V(P7tmp[dir][i]);
    }
    //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
    for(mu=0; mu<4; mu++) {
      //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
      QDP_destroy_V(P5s[mu][i]);
      //QDP_destroy_V(P5[mu][i]);
      //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
      for(dir=0; dir<8; dir++) {
	//if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
	QDP_destroy_V(P5tmps[mu][dir][i]);
	//printf("%p\n", P5tmp[mu][dir][i]); fflush(stdout);
	//QDP_destroy_V(P5tmp[mu][dir][i]);
	//if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
      }
      //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
    }
    //if(QDP_this_node==0) { printf("line %i\n",__LINE__); fflush(stdout); }
  }

  //if(QDP_this_node==0) { printf("here3\n"); fflush(stdout); }
  for(mu=0; mu<8; mu++) {
    for(i=0; i<nsrc; i++) {
      QDP_destroy_V(P3[mu][i]);
    }
    //QDP_destroy_V(P5[mu][0]);
    //QDP_destroy_V(P5[mu][1]);
  }

  for(i=0; i<nsrc; i++) {
    QDP_destroy_V(tv[i]);
  }

  //if(QDP_this_node==0) { printf("here4\n"); fflush(stdout); }
  for(i=4; i<8; i++) {
    QDP_destroy_M(fblink[i]);
  }

  dtime += QOP_time();
  info->final_sec = dtime;
  info->final_flop = nflop*QDP_sites_on_node;
  info->status = QOP_SUCCESS;

  ASQTAD_FORCE_END;
#undef NC
}
void 
QOPPC(symanzik_1loop_gauge_force1) (QOP_info_t *info, QOP_GaugeField *gauge, 
		   QOP_Force *force, QOP_gauge_coeffs_t *coeffs, REAL eps)
{
  REAL Plaq, Rect, Pgm ;
  QDP_ColorMatrix *tempmom_qdp[4];
  QDP_ColorMatrix *Amu[6]; // products of 2 links Unu(x)*Umu(x+nu)
  QDP_ColorMatrix *tmpmat;
  QDP_ColorMatrix *tmpmat1;
  QDP_ColorMatrix *tmpmat2;
  QDP_ColorMatrix *staples;
  QDP_ColorMatrix *tmpmat3;
  QDP_ColorMatrix *tmpmat4;

  int i, k;
  int mu, nu, sig;
  double dtime;
  //REAL eb3 = -eps*beta/3.0;
  REAL eb3 = -eps/3.0;
  int j[3][2] = {{1,2},
                 {0,2},
                 {0,1}};
  
  //  QOP_printf0("beta: %e, eb3: %e\n", beta, eb3);
  dtime = -QOP_time();

  for(mu=0; mu<4; mu++) {
    tempmom_qdp[mu] = QDP_create_M();
    QDP_M_eq_zero(tempmom_qdp[mu], QDP_all);
  }

  tmpmat = QDP_create_M();
  for(i=0; i<QOP_common.ndim; i++) {
    fblink[i] = gauge->links[i];
    fblink[OPP_DIR(i)] = QDP_create_M();
    QDP_M_eq_sM(tmpmat, fblink[i], QDP_neighbor[i], QDP_backward, QDP_all);
    QDP_M_eq_Ma(fblink[OPP_DIR(i)], tmpmat, QDP_all);
  }
  

  for(i=0; i<6; i++) {
    Amu[i] = QDP_create_M();
  }

  staples = QDP_create_M();
  tmpmat1 = QDP_create_M();
  tmpmat2 = QDP_create_M();
  tmpmat3 = QDP_create_M();
  tmpmat4 = QDP_create_M();

  Plaq = coeffs->plaquette;
  Rect = coeffs->rectangle;
  Pgm  = coeffs->parallelogram;

  //Construct 3-staples and rectangles
  for(mu=0; mu<4; mu++) {
    i=0;
    for(nu=0; nu<4; nu++) {
      if(nu!=mu){
	// tmpmat1 = Umu(x+nu)
	QDP_M_eq_sM(tmpmat1, fblink[mu], QDP_neighbor[nu], QDP_forward, QDP_all); 
        QDP_M_eq_M_times_M(Amu[i], fblink[nu], tmpmat1, QDP_all);

        //tmpmat2 = Umu(x-nu)
	QDP_M_eq_sM(tmpmat2, fblink[mu], QDP_neighbor[nu], QDP_backward, QDP_all);
        QDP_M_eq_M_times_M(Amu[i+3], fblink[OPP_DIR(nu)], tmpmat2, QDP_all);
       

 
	//tmpmat = U_{nu}(x+mu)
        QDP_M_eq_sM(tmpmat, fblink[nu], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_M_times_Ma(staples, Amu[i], tmpmat, QDP_all);        
        QDP_M_peq_r_times_M(tempmom_qdp[mu], &Plaq, staples, QDP_all);
 
        //tmpmat = U_{-nu}(x+mu)
        QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(nu)], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_Ma_times_M(tmpmat3, fblink[OPP_DIR(nu)], staples, QDP_all);
        QDP_M_eq_M_times_M(tmpmat4, tmpmat3, tmpmat, QDP_all);
        QDP_M_eq_sM(tmpmat, tmpmat4, QDP_neighbor[nu], QDP_forward, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[mu], &Rect, tmpmat, QDP_all);

        QDP_M_eq_Ma_times_M(tmpmat4, tmpmat2, tmpmat3, QDP_all);
        QDP_M_eq_sM(tmpmat, tmpmat4, QDP_neighbor[nu], QDP_forward, QDP_all);
        QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[mu], QDP_backward, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[nu], &Rect, tmpmat3, QDP_all);

        //tmpmat = U_{-nu}(x+mu)
        QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(nu)], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_M_times_Ma(tmpmat3, tmpmat2, tmpmat, QDP_all);
        QDP_M_eq_M_times_Ma(tmpmat, tmpmat3, staples, QDP_all);        
        QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[nu], QDP_forward, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[nu], &Rect, tmpmat3, QDP_all);




        //tmpmat = U_{-nu}(x+mu) 
        QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(nu)], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_M_times_Ma(staples, Amu[i+3], tmpmat, QDP_all);        
        QDP_M_peq_r_times_M(tempmom_qdp[mu], &Plaq, staples, QDP_all);

        QDP_M_eq_Ma_times_M(tmpmat3, fblink[nu], staples, QDP_all);
        QDP_M_eq_sM(tmpmat, fblink[nu], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_M_times_M(tmpmat4, tmpmat3, tmpmat, QDP_all);
        QDP_M_eq_sM(tmpmat, tmpmat4, QDP_neighbor[nu], QDP_backward, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[mu], &Rect, tmpmat, QDP_all);

        QDP_M_eq_Ma_times_M(tmpmat, tmpmat3, tmpmat1, QDP_all);
        QDP_M_eq_sM(tmpmat4, tmpmat, QDP_neighbor[mu], QDP_backward, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[nu], &Rect, tmpmat4, QDP_all);

        QDP_M_eq_sM(tmpmat, fblink[nu], QDP_neighbor[mu], QDP_forward, QDP_all);
        QDP_M_eq_M_times_M(tmpmat3, staples, tmpmat, QDP_all);
        QDP_M_eq_M_times_Ma(tmpmat4, tmpmat3, tmpmat1, QDP_all);
        QDP_M_peq_r_times_M(tempmom_qdp[nu], &Rect, tmpmat4, QDP_all);
        i++;
      }
      
    }

    // Construct the  pgm staples and add them to force
    QDP_M_eq_zero(staples, QDP_all);
    i=0;
    for(nu=0; nu<4; nu++){
      if(nu!=mu){
        k=0;
	for(sig=0; sig<4;sig ++){
	  if(sig!=mu && nu!=sig){
	    
	    // the nu_sig_mu ... staple and 3 reflections
            //tmpmat = Amu["sig"](x+nu)
	    QDP_M_eq_sM(tmpmat, Amu[j[i][k]], QDP_neighbor[nu], QDP_forward, QDP_all);
            //tmpmat1 = Unu(x)*Amu["sig"](x+nu)
            QDP_M_eq_M_times_M(tmpmat1, fblink[nu], tmpmat, QDP_all);   
            //tmpmat3 = Unu(x+mu+sig)
            QDP_M_eq_sM(tmpmat, fblink[nu], QDP_neighbor[mu], QDP_forward, QDP_all);
	    QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[sig], QDP_forward, QDP_all); // HERE?
            //tmpmat2 = Unu(x)*Amu["sig"](x+nu)*adj(Unu(x+mu+sig))
	    QDP_M_eq_M_times_Ma(tmpmat2, tmpmat1, tmpmat3, QDP_all);
            //tmpmat = Usig(x+mu)
	    QDP_M_eq_sM(tmpmat, fblink[sig], QDP_neighbor[mu], QDP_forward, QDP_all);
            //tmpmat1 = Unu(x)*Amu["sig"](x+nu)*adj(Unu(x+mu+sig))*adj(Usig(x+mu))
	    QDP_M_eq_M_times_Ma(tmpmat1, tmpmat2, tmpmat, QDP_all);

	    QDP_M_peq_M(staples, tmpmat1, QDP_all);


            //tmpmat = Amu["sig"](x-nu)
	    QDP_M_eq_sM(tmpmat, Amu[j[i][k]], QDP_neighbor[nu], QDP_backward, QDP_all);
            //tmpmat1 = U_{-nu}(x)*Amu["sig"](x-nu)
            QDP_M_eq_M_times_M(tmpmat1, fblink[OPP_DIR(nu)], tmpmat, QDP_all);   
            //tmpmat3 = U_{-nu}(x+mu+sig)
            QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(nu)], QDP_neighbor[mu], QDP_forward, QDP_all);
	    QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[sig], QDP_forward, QDP_all); // HERE?
            //tmpmat2 = U_{-nu}nu(x)*Amu["sig"](x-nu)*adj(Unu(x+mu+sig))
	    QDP_M_eq_M_times_Ma(tmpmat2, tmpmat1, tmpmat3, QDP_all);
            //tmpmat = Usig(x+mu)
	    QDP_M_eq_sM(tmpmat, fblink[sig], QDP_neighbor[mu], QDP_forward, QDP_all);
            //tmpmat1 = U_{-nu}(x)*Amu["sig"](x-nu)*adj(Unu(x+mu+sig))*adj(Usig(x+mu))
	    QDP_M_eq_M_times_Ma(tmpmat1, tmpmat2, tmpmat, QDP_all);

	    QDP_M_peq_M(staples, tmpmat1, QDP_all);


            //tmpmat = Amu["-sig"](x-nu)
	    QDP_M_eq_sM(tmpmat, Amu[j[i][k]+3], QDP_neighbor[nu], QDP_backward, QDP_all);
            //tmpmat1 = U_{-nu}(x)*Amu["-sig"](x-nu)
            QDP_M_eq_M_times_M(tmpmat1, fblink[OPP_DIR(nu)], tmpmat, QDP_all);   
            //tmpmat = U_{-nu}(x+mu-sig)
            QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(nu)], QDP_neighbor[mu], QDP_forward, QDP_all);
	    QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[sig], QDP_backward, QDP_all); // HERE?
            //tmpmat2 = U_{-nu}nu(x)*Amu["-sig"](x-nu)*adj(Unu(x+mu-sig))
	    QDP_M_eq_M_times_Ma(tmpmat2, tmpmat1, tmpmat3, QDP_all);
            //tmpmat = U_{-sig}(x+mu)
	    QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(sig)], QDP_neighbor[mu], QDP_forward, QDP_all);
            //tmpmat1 = U_{-nu}(x)*Amu["-sig"](x-nu)*adj(Unu(x+mu-sig))*adj(U_{-sig}(x+mu))
	    QDP_M_eq_M_times_Ma(tmpmat1, tmpmat2, tmpmat, QDP_all);

	    QDP_M_peq_M(staples, tmpmat1, QDP_all);

            


            //tmpmat = Amu["-sig"](x+nu)
	    QDP_M_eq_sM(tmpmat, Amu[j[i][k]+3], QDP_neighbor[nu], QDP_forward, QDP_all);
            //tmpmat1 = Unu(x)*Amu["-sig"](x+nu)
            QDP_M_eq_M_times_M(tmpmat1, fblink[nu], tmpmat, QDP_all);   
            //tmpmat3 = Unu(x+mu-sig)
            QDP_M_eq_sM(tmpmat, fblink[nu], QDP_neighbor[mu], QDP_forward, QDP_all);
	    QDP_M_eq_sM(tmpmat3, tmpmat, QDP_neighbor[sig], QDP_backward, QDP_all); // HERE?
            //tmpmat2 = Unu(x)*Amu["-sig"](x+nu)*adj(Unu(x+mu-sig))
	    QDP_M_eq_M_times_Ma(tmpmat2, tmpmat1, tmpmat3, QDP_all);
            //tmpmat = U_{-sig}(x+mu)
	    QDP_M_eq_sM(tmpmat, fblink[OPP_DIR(sig)], QDP_neighbor[mu], QDP_forward, QDP_all);
            //tmpmat1 = Unu(x)*Amu["sig"](x+nu)*adj(Unu(x+mu+sig))*adj(Usig(x+mu))
	    QDP_M_eq_M_times_Ma(tmpmat1, tmpmat2, tmpmat, QDP_all);

	    QDP_M_peq_M(staples, tmpmat1, QDP_all);

	    k++;
	  }//close if sig!=nu ...
	}//close sig loop
	i++;
      }// close if nu!=mu
    }//close the pgm nu loop

    QDP_M_peq_r_times_M(tempmom_qdp[mu], &Pgm, staples, QDP_all);
   

    
  }// closes the mu loop

#ifdef CHKSUM
  QLA_ColorMatrix qcm;
  QLA_Complex det, chk;
  QLA_c_eq_r(chk, 0);
#endif
  for(mu=0; mu<4; mu++){
    QDP_M_eq_M_times_Ma(tmpmat, fblink[mu], tempmom_qdp[mu], QDP_all); // HERE?
    QDP_M_eq_r_times_M_plus_M( tempmom_qdp[mu], &eb3, tmpmat, force->force[mu], QDP_all);// HERE?
    QDP_M_eq_antiherm_M(force->force[mu], tempmom_qdp[mu], QDP_all);// HERE
#ifdef CHKSUM
    QDP_m_eq_sum_M(&qcm, force->force[mu], QDP_all);
    QLA_C_eq_det_M(&det, &qcm);
    QLA_c_peq_c(chk, det);
#endif
  }
#ifdef CHKSUM
  QOP_printf0("chksum: %g %g\n", QLA_real(chk), QLA_imag(chk));
#endif

  //DESTROY various fields

  QDP_destroy_M(tmpmat);
  QDP_destroy_M(tmpmat1);
  QDP_destroy_M(tmpmat2);
  QDP_destroy_M(tmpmat3);
  QDP_destroy_M(staples);
  QDP_destroy_M(tmpmat4);

  for(mu=0; mu<4; mu++){
    QDP_destroy_M(tempmom_qdp[mu]);
  }
  for(i=0; i<6; i++) {
    QDP_destroy_M(Amu[i]);
  }

  for(i=4; i<8; i++) {
    QDP_destroy_M(fblink[i]);
  }

  dtime += QOP_time();

  double nflop = 96720;
  info->final_sec = dtime;
  info->final_flop = nflop*QDP_sites_on_node; 
  info->status = QOP_SUCCESS;
  //QOP_printf0("Time in slow g_force: %e\n", info->final_sec);
} 
void 
QOP_hisq_force_multi_wrapper_fnmat(QOP_info_t *info,  
				   QOP_FermionLinksHisq *flh,
				   QOP_Force *Force, 
				   QOP_hisq_coeffs_t *hisq_coeff,
				   REAL *residues,
				   QDP_ColorVector *x[], 
				   int *n_orders_naik)
  
{
  double dtime = QDP_time();
  int i, ipath, dir;
  REAL coeff_mult;

  double *eps_naik = hisq_coeff->eps_naik;
  int n_naiks = hisq_coeff->n_naiks;
  QOP_hisq_unitarize_method_t umethod = hisq_coeff->umethod;

  // Quark paths sorted by net displacement and last directions
  static Q_path *q_paths_sorted_1 = NULL;
  static Q_path *q_paths_sorted_2 = NULL;
  static Q_path *q_paths_sorted_3 = NULL;

  static int *netbackdir_table_1 = NULL;
  static int *netbackdir_table_2 = NULL;
  static int *netbackdir_table_3 = NULL;

  static int first_force = 1;

  if(first_force == 1) 
    QOP_make_paths_and_dirs_hisq(hisq_coeff, umethod);

  int num_q_paths_1 = qop_get_num_q_paths_1();
  int num_q_paths_2 = qop_get_num_q_paths_2();
  int num_q_paths_3 = qop_get_num_q_paths_3();

  Q_path *q_paths_1 = qop_get_q_paths_1();
  Q_path *q_paths_2 = qop_get_q_paths_2();
  Q_path *q_paths_3 = qop_get_q_paths_3();

  Q_path *q_paths_sorted_current = NULL;
  int *netbackdir_table_current = NULL;

  int inaik;
  int n_naik_shift;
  double final_flop = 0.;
  size_t nflops = 0;

  QDP_ColorMatrix * force[4] =  {Force->force[0], Force->force[1], 
				 Force->force[2], Force->force[3]};

  int num_q_paths_current,n_orders_naik_current;//==nterms


  QDP_ColorMatrix *force_accum_0[4];
  QDP_ColorMatrix *force_accum_0_naik[4];
  QDP_ColorMatrix *force_accum_1[4];
  QDP_ColorMatrix *force_accum_1u[4];
  QDP_ColorMatrix *force_accum_2[4];
  QDP_ColorMatrix *force_final[4];


  QDP_ColorMatrix *Ugf[4], *Vgf[4], *Wgf[4];

  int nterms = 0, n_order_naik_total;

  for(inaik = 0; inaik < n_naiks; inaik++)
    nterms += n_orders_naik[inaik];
  n_order_naik_total = nterms;

  for(i=0;i<4;i++) {
    Ugf[i] = flh->U_links[i];
    Vgf[i] = flh->V_links[i];
    Wgf[i] = flh->W_unitlinks[i];
  }

  QDP_ColorMatrix *tmat;
  QDP_ColorMatrix *mat_tmp0;

  REAL treal;

  if( first_force==1 ){
    if( q_paths_sorted_1==NULL ) 
      q_paths_sorted_1 = (Q_path *)malloc( num_q_paths_1*sizeof(Q_path) );
    if(netbackdir_table_1==NULL ) 
      netbackdir_table_1 = (int *)malloc( num_q_paths_1*sizeof(int) );
    if( q_paths_sorted_2==NULL ) 
      q_paths_sorted_2 = (Q_path *)malloc( num_q_paths_2*sizeof(Q_path) );
    if(netbackdir_table_2==NULL ) 
      netbackdir_table_2 = (int *)malloc( num_q_paths_2*sizeof(int) );
    if( q_paths_sorted_3==NULL ) 
      q_paths_sorted_3 = (Q_path *)malloc( num_q_paths_3*sizeof(Q_path) );
    if(netbackdir_table_3==NULL ) 
      netbackdir_table_3 = (int *)malloc( num_q_paths_3*sizeof(int) );
    else{QOP_printf0("WARNING: remaking sorted path tables\n"); exit(0); }
    // make sorted tables
    sort_quark_paths_hisq( q_paths_1, q_paths_sorted_1, num_q_paths_1, 8 );

    for( ipath=0; ipath<num_q_paths_1; ipath++ )
      netbackdir_table_1[ipath] = 
	find_backwards_gather( &(q_paths_sorted_1[ipath]) );

    sort_quark_paths_hisq( q_paths_2, q_paths_sorted_2, num_q_paths_2, 16 );

    for( ipath=0; ipath<num_q_paths_2; ipath++ )
      netbackdir_table_2[ipath] = 
	find_backwards_gather( &(q_paths_sorted_2[ipath]) );

    sort_quark_paths_hisq( q_paths_3, q_paths_sorted_3, num_q_paths_3, 16 );

    for( ipath=0; ipath<num_q_paths_3; ipath++ )
      netbackdir_table_3[ipath] = 
	find_backwards_gather( &(q_paths_sorted_3[ipath]) );

    first_force=0;
  }

  tmat = QDP_create_M();
  mat_tmp0 = QDP_create_M();

  for(i=XUP;i<=TUP;i++){
     force_accum_0[i] = QDP_create_M();
     force_accum_0_naik[i] = QDP_create_M();
     force_accum_1[i] = QDP_create_M();
     force_accum_1u[i] = QDP_create_M();
     force_accum_2[i] = QDP_create_M();
     force_final[i] = QDP_create_M();
  }


  for(dir=XUP;dir<=TUP;dir++)
    QDP_M_eq_zero(force_accum_2[dir], QDP_all);


  // loop on different naik masses
  n_naik_shift = 0;


  for( inaik=0; inaik<n_naiks; inaik++ ) {

    // smearing level 0
    if( 0==inaik ) {
      n_orders_naik_current = n_order_naik_total;
    }
    else {
      n_orders_naik_current = n_orders_naik[inaik];
    }
    

    QOP_hisq_force_multi_smearing0_fnmat(info,residues+n_naik_shift, 
					 x+n_naik_shift, n_orders_naik_current,
					 force_accum_0, force_accum_0_naik);
    final_flop += info->final_flop;
 
    
    // smearing level 2
    if( 0==inaik ) {
      q_paths_sorted_current = q_paths_sorted_2;
      num_q_paths_current = num_q_paths_2;
      netbackdir_table_current = netbackdir_table_2;
    }
    else {
      q_paths_sorted_current = q_paths_sorted_3;
      num_q_paths_current = num_q_paths_3;
      netbackdir_table_current = netbackdir_table_3;
    }
    
    QOP_hisq_force_multi_smearing_fnmat( info,Wgf,residues+n_naik_shift, 
					 x+n_naik_shift, 
					 n_orders_naik_current, 
					 force_accum_1, 
					 force_accum_0, force_accum_0_naik, 
					 num_q_paths_current, 
					 q_paths_sorted_current, 
					 netbackdir_table_current );
    //QOP_printf0("HISQ smear0 flops = %g\n", info->final_flop);
    final_flop += info->final_flop;

    if( 0==inaik ) {
      coeff_mult = 1.0;
    }
    else {
      coeff_mult = eps_naik[inaik];
    }
    
    
    for(dir=XUP;dir<=TUP;dir++) {
      QDP_M_peq_r_times_M(force_accum_2[dir],&coeff_mult,
			  force_accum_1[dir],QDP_all);
      nflops += 36;
    }
    n_naik_shift += n_orders_naik[inaik];


  }

 

  if ( umethod==QOP_UNITARIZE_NONE ){

    // smearing level 1
    QOP_hisq_force_multi_smearing_fnmat( info,Ugf,residues, 
					 x, 
					 nterms, force_accum_1, 
					 force_accum_2, NULL, 
					 num_q_paths_1, 
					 q_paths_sorted_1, 
					 netbackdir_table_1 );
    final_flop += info->final_flop;
    
  }
  else if ( umethod==QOP_UNITARIZE_RATIONAL ){

    
    // reunitarization
    QOP_hisq_force_multi_reunit(info,Vgf,force_accum_1u,
				force_accum_2);
    //QOP_printf0("reunit flops = %g\n", info->final_flop);
    final_flop += info->final_flop;
    
    // smearing level 1
    QOP_hisq_force_multi_smearing_fnmat( info,Ugf,residues, 
					 x, 
					 nterms, force_accum_1, 
					 force_accum_1u, NULL, 
					 num_q_paths_1, 
					 q_paths_sorted_1, 
					 netbackdir_table_1 );
    //QOP_printf0("HISQ smear1 flops = %g\n", info->final_flop);
    final_flop += info->final_flop;
  }
  else
    {
      QOP_printf0("Unknown or unsupported unitarization method\n");
      exit(1);
      
    }


  // contraction with the link in question should be done here,
  // after contributions from all levels of smearing are taken into account

  for(dir=XUP;dir<=TUP;dir++){

    QDP_M_eq_M_times_M(force_final[dir],Ugf[dir],force_accum_1[dir],QDP_all);
    nflops += 198;

  }



  // take into account even/odd parity (it is NOT done in "smearing" routine)
  //eps multiplication done outside QOP 

  for(dir=XUP;dir<=TUP;dir++){
    QDP_M_eq_M(tmat,force_final[dir],QDP_all);

    treal = 2.0;
    QDP_M_eq_r_times_M(force_final[dir],&treal,tmat,QDP_even);

    treal = -2.0;
    QDP_M_eq_r_times_M(force_final[dir],&treal,tmat,QDP_odd);
    nflops += 18;

  }


  // Put antihermitian traceless part into momentum 
  // add force to momentum

  for(dir=XUP; dir<=TUP; dir++){

    QDP_M_eq_antiherm_M(mat_tmp0, force_final[dir], QDP_all);
    QDP_M_peq_M(force[dir], mat_tmp0, QDP_all);
    nflops += 24+18;
    //QDP_M_peq_M(force_final[dir], force[dir], QDP_all);
    //QDP_M_eq_antiherm_M(force[dir], force_final[dir], QDP_all);

  }



  for(i=XUP;i<=TUP;i++){
     QDP_destroy_M( force_accum_0[i] );
     QDP_destroy_M( force_accum_0_naik[i] );
     QDP_destroy_M( force_accum_1[i] );
     QDP_destroy_M( force_accum_1u[i] );
     QDP_destroy_M( force_accum_2[i] );
     QDP_destroy_M( force_final[i] );
  }

  QDP_destroy_M( tmat );
  QDP_destroy_M( mat_tmp0 );

  final_flop += ((double)nflops)*QDP_sites_on_node;

  info->final_sec = QDP_time() - dtime;
  info->final_flop = final_flop;
  info->status = QOP_SUCCESS;
  //QOP_printf0("HISQ force flops = %g\n", info->final_flop);
} //hisq_force_multi_wrapper_fnmat