static void
qlamakegroup(QLA_Complex *x, int g)
{
switch(g&GROUP_TYPE) {
case GROUP_GL: break;
case GROUP_U: {
QLA_Real n = QLA_norm2_c(*x);
if(n==0) { QLA_c_eq_r(*x, 1); }
else {
n = 1/sqrt(n);
QLA_c_eq_r_times_c(*x, n, *x);
}
} break;
case GROUP_H: QLA_c_eq_r(*x, QLA_real(*x)); break;
case GROUP_AH: QLA_c_eq_r_plus_ir(*x, 0, QLA_imag(*x)); break;
}
if(g&GROUP_S) QLA_c_eq_r(*x, 1);
if(g&GROUP_T) QLA_c_eq_r(*x, 0);
}
static int
qopqdp_gauge_unit(lua_State *L)
{
qassert(lua_gettop(L)==1);
gauge_t *g = qopqdp_gauge_check(L, -1);
QLA_Complex z;
QLA_c_eq_r(z, 1);
for(int i=0; i<g->nd; i++) {
QDP_M_eq_c(g->links[i], &z, QDP_all_L(g->qlat));
}
return 0;
}
static void
over_func(NCPROT1 QLA_ColorMatrix(*m), int site)
{
if(QLA_Nc==1) {
QLA_Complex z, zs, t;
QLA_C_eq_elem_M(&z, m, 0, 0);
QLA_c_eq_ca(zs, z);
QLA_C_eq_C_divide_C(&t, &zs, &z);
QLA_M_eq_elem_C(m, &t, 0, 0);
} else {
QLA_ColorMatrix(s);
QLA_ColorMatrix(t);
QLA_ColorMatrix(tt);
QLA_Complex one;
QLA_c_eq_r(one, 1);
QLA_M_eq_c(&s, &one);
/* Loop over SU(2) subgroup index */
for(int i = 0; i < QLA_Nc; ++i) {
for(int j = i+1; j < QLA_Nc; ++j) {
QLA_Real a[4], r[4], rn;
su2_extract(NCARG r, m, i, j);
rn = sqrt( r[0]*r[0] + r[1]*r[1] + r[2]*r[2] + r[3]*r[3] );
if(rn<1e-10) {
a[0] = 1; a[1] = a[2] = a[3] = 0;
} else {
rn = 1/rn;
a[0] = rn*r[0];
a[1] = -rn*r[1];
a[2] = -rn*r[2];
a[3] = -rn*r[3];
}
r[0] = a[0]*a[0] - a[1]*a[1] - a[2]*a[2] - a[3]*a[3];
a[0] *= 2;
r[1] = a[0]*a[1];
r[2] = a[0]*a[2];
r[3] = a[0]*a[3];
su2_fill(NCARG &t, r, i, j);
QLA_M_eq_M_times_M(&tt, &t, &s);
QLA_M_eq_M(&s, &tt);
QLA_M_eq_M_times_M(&tt, &t, m);
QLA_M_eq_M(m, &tt);
}
}
QLA_M_eq_M(m, &s);
}
}
static void
su2_fill(NCPROT QLA_ColorMatrix(*m), QLA_Real r[4], int i, int j)
{
QLA_Complex z;
QLA_c_eq_r(z, 1);
QLA_M_eq_c(m, &z);
QLA_c_eq_r_plus_ir(z, r[0], r[3]);
QLA_M_eq_elem_C(m, &z, i, i);
QLA_c_eq_r_plus_ir(z, r[2], r[1]);
QLA_M_eq_elem_C(m, &z, i, j);
r[2] = -r[2];
QLA_c_eq_r_plus_ir(z, r[2], r[1]);
QLA_M_eq_elem_C(m, &z, j, i);
r[3] = -r[3];
QLA_c_eq_r_plus_ir(z, r[0], r[3]);
QLA_M_eq_elem_C(m, &z, j, j);
}
static void
make_herm(NCPROT QLA_ColorMatrix(*m), int idx, void *args)
{
QLA_Complex tr;
QLA_c_eq_r(tr, 0);
for(int i=0; i<QLA_Nc; i++) {
for(int j=i; j<QLA_Nc; j++) {
QLA_Complex t1, t2;
QLA_c_eq_c(t1, QLA_elem_M(*m,i,j));
QLA_c_eq_c(t2, QLA_elem_M(*m,j,i));
QLA_c_peq_ca(t1, t2);
QLA_c_eq_r_times_c(t1, 0.5, t1);
QLA_c_eq_c(QLA_elem_M(*m,i,j), t1);
QLA_c_eq_ca(QLA_elem_M(*m,j,i), t1);
}
QLA_c_peq_c(tr, QLA_elem_M(*m,i,i));
}
QLA_c_eq_r_times_c(tr, 1./QLA_Nc, tr);
for(int i=0; i<QLA_Nc; i++) {
QLA_c_meq_c(QLA_elem_M(*m,i,i), tr);
}
}
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);
}
/* optimized version of building blocks
compute tr(B^+ \Gamma_n F) [n=0..15] and projects on n_qext momenta
select time interval [tsrc: tsnk] and does time reversal if time_rev==1
save results to aff_w[aff_kpath . 'g%d/qx%d_qy%d_qz%d']
Parameters:
csrc = { xsrc, ysrc, zsrc, tsrc }
tsnk
qext[4 * i_qext + dir] ext.mom components
time_rev ==0 for proton_3, ==1 for proton_negpar_3
bc_baryon_t =+/-1 boundary condition for baryon 2pt[sic!] function; =bc_quark^3
*/
const char *
save_bb(lua_State *L,
mLattice *S,
mAffWriter *aff_w,
const char *aff_kpath,
QDP_D3_DiracPropagator *F,
QDP_D3_DiracPropagator *B,
const int *csrc, /* [qRank] */
int tsnk,
int n_mom,
const int *mom, /* [n_mom][qRank] */
int time_rev, /* 1 to reverse, 0 to not */
int t_axis, /* 0-based */
double bc_baryon_t)
{
/* gamma matrix parameterization for left multiplication:
Gamma_n [i,j] = gamma_coeff[n][i] * \delta_{i,gamma_ind[n][i]}
v[0] a[0]*v[I[0]]
Gamma * v[1] = a[1]*v[I[1]]
v[2] a[2]*v[I[2]]
v[3] a[3]*v[I[3]]
or
(Gamma * X)_{ik} = a[i] * X[I[i],k]
*/
double complex gamma_left_coeff[16][4] = {
{ 1, 1, 1, 1 }, /* G0 = 1 */
{ I, I,-I,-I }, /* G1 = g1 */
{-1, 1, 1,-1 }, /* G2 = g2 */
{-I, I,-I, I }, /* G3 = g1 g2 */
{ I,-I,-I, I }, /* G4 = g3 */
{-1, 1,-1, 1 }, /* G5 = g1 g3 */
{-I,-I,-I,-I }, /* G6 = g2 g3 */
{ 1, 1,-1,-1 }, /* G7 = g1 g2 g3 */
{ 1, 1, 1, 1 }, /* G8 = g4 */
{ I, I,-I,-I }, /* G9 = g1 g4 */
{-1, 1, 1,-1 }, /* G10= g2 g4 */
{-I, I,-I, I }, /* G11= g1 g2 g4 */
{ I,-I,-I, I }, /* G12= g3 g4 */
{-1, 1,-1, 1 }, /* G13= g1 g3 g4 */
{-I,-I,-I,-I }, /* G14= g2 g3 g4 */
{ 1, 1,-1,-1 }, /* G15= g1 g2 g3 g4 */
};
int gamma_left_ind[16][4] = {
{ 0, 1, 2, 3 }, /* G0 = 1 */
{ 3, 2, 1, 0 }, /* G1 = g1 */
{ 3, 2, 1, 0 }, /* G2 = g2 */
{ 0, 1, 2, 3 }, /* G3 = g1 g2 */
{ 2, 3, 0, 1 }, /* G4 = g3 */
{ 1, 0, 3, 2 }, /* G5 = g1 g3 */
{ 1, 0, 3, 2 }, /* G6 = g2 g3 */
{ 2, 3, 0, 1 }, /* G7 = g1 g2 g3 */
{ 2, 3, 0, 1 }, /* G8 = g4 */
{ 1, 0, 3, 2 }, /* G9 = g1 g4 */
{ 1, 0, 3, 2 }, /* G10= g2 g4 */
{ 2, 3, 0, 1 }, /* G11= g1 g2 g4 */
{ 0, 1, 2, 3 }, /* G12= g3 g4 */
{ 3, 2, 1, 0 }, /* G13= g1 g3 g4 */
{ 3, 2, 1, 0 }, /* G14= g2 g3 g4 */
{ 0, 1, 2, 3 }, /* G15= g1 g2 g3 g4 */
};
#define get_mom(mom_list, i_mom) ((mom_list) + 4*(i_mom))
if (4 != S->rank ||
4 != QDP_Ns ||
3 != t_axis) {
return "not implemented for this dim, spin, color, or t-axis";
}
int latsize[4];
QDP_latsize_L(S->lat, latsize);
if (NULL == aff_w ||
NULL == aff_kpath ||
NULL == mom ||
n_mom < 0) {
return "incorrect pointer parameters";
}
int i;
for (i = 0 ; i < S->rank; i++) {
if (csrc[i] < 0 || latsize[i] <= csrc[i]) {
return "incorrect source coordinates";
}
}
if (tsnk < 0 || latsize[t_axis] <= tsnk) {
return "incorrect sink t-coordinate";
}
if (n_mom <= 0)
return NULL; /* relax */
int src_snk_dt = -1;
int lt = latsize[t_axis];
if (!time_rev) {
src_snk_dt = (lt + tsnk - csrc[t_axis]) % lt;
} else {
src_snk_dt = (lt + csrc[t_axis] - tsnk) % lt;
}
int bb_arr_size = 16 * n_mom * (src_snk_dt + 1) * 2 * sizeof(double);
double *bb_arr = qlua_malloc(L, bb_arr_size);
memset(bb_arr, 0, bb_arr_size);
#define bb_real(i_gamma, i_mom) ((bb_arr) + (src_snk_dt + 1) * (0 + 2 * ((i_mom) + n_mom * (i_gamma))))
#define bb_imag(i_gamma, i_mom) ((bb_arr) + (src_snk_dt + 1) * (1 + 2 * ((i_mom) + n_mom * (i_gamma))))
double complex *exp_iphase = qlua_malloc(L, n_mom * sizeof(double complex));
int coord[4];
double complex trc_FBd[4][4];
QLA_D3_DiracPropagator *F_exp = QDP_D3_expose_P(F);
QLA_D3_DiracPropagator *B_exp = QDP_D3_expose_P(B);
int i_site;
int sites = QDP_sites_on_node_L(S->lat);
for (i_site = 0; i_site < sites; i_site++) {
QDP_get_coords_L(S->lat, coord, QDP_this_node, i_site);
int t = -1;
if (!time_rev) {
t = (lt + coord[t_axis] - csrc[t_axis]) % lt;
} else {
t = (lt + csrc[t_axis] - coord[t_axis]) % lt;
}
if (src_snk_dt < t)
continue;
/* precalc phases for inner contraction loop */
int i_mom;
for (i_mom = 0 ; i_mom < n_mom ; i_mom++) {
exp_iphase[i_mom] = calc_exp_iphase(coord, csrc,
latsize, get_mom(mom, i_mom));
// printf("%e+I*%e\n", creal(exp_iphase[i_mom]), cimag(exp_iphase[i_mom]));
}
/* compute trace_{color} [ F * B^\dag]
[is,js] = sum_{ic,jc,ks} F[ic,is; jc,ks] * (B[ic,js; jc,ks])^*
is,js,ks - spin, ic,jc - color
*/
int is, js, ks, ic, jc;
for (is = 0; is < 4; is++) {
for (js = 0; js < 4; js++) {
QLA_D_Complex sum;
QLA_c_eq_r(sum, 0);
for (ks = 0; ks < 4; ks++) {
for (ic = 0; ic < 3 ; ic++)
for (jc = 0; jc < 3 ; jc++)
QLA_c_peq_c_times_ca(sum,
QLA_elem_P(F_exp[i_site], ic,is, jc,ks),
QLA_elem_P(B_exp[i_site], ic,js, jc,ks));
}
trc_FBd[is][js] = QLA_real(sum) + I*QLA_imag(sum);
}
}
/* cycle over Gamma */
int gn;
for (gn = 0; gn < 16 ; gn++) {
double complex sum = 0.;
/* compute contractions Gamma(n) */
for (is = 0; is < 4; is++)
sum += gamma_left_coeff[gn][is] * trc_FBd[gamma_left_ind[gn][is]][is];
/* mult. by phase and add to timeslice sum */
for (i_mom = 0; i_mom < n_mom; i_mom++) {
double complex aux = exp_iphase[i_mom] * sum;
bb_real(gn, i_mom)[t] += creal(aux);
bb_imag(gn, i_mom)[t] += cimag(aux);
}
}
}
qlua_free(L, exp_iphase);
/* global sum */
if (QMP_sum_double_array(bb_arr, bb_arr_size / sizeof(double))) {
qlua_free(L, bb_arr);
return "QMP_sum_double_array error";
}
/* save to AFF */
if (aff_w->master) {
struct AffNode_s *aff_top = NULL;
aff_top = aff_writer_mkpath(aff_w->ptr, aff_w->dir, aff_kpath);
if (NULL == aff_top) {
qlua_free(L, bb_arr);
return aff_writer_errstr(aff_w->ptr);
}
double complex *cplx_buf = qlua_malloc(L, (src_snk_dt + 1) * sizeof(double complex));
char buf[200];
int gn, i_mom, t;
for (gn = 0; gn < 16; gn++)
for (i_mom = 0; i_mom < n_mom; i_mom++) {
/* copy & mult by bc, if necessary */
const double *bb_re_cur = bb_real(gn, i_mom),
*bb_im_cur = bb_imag(gn, i_mom);
if (!time_rev) { /* no bc */
for (t = 0 ; t <= src_snk_dt; t++)
cplx_buf[t] = bb_re_cur[t] + I*bb_im_cur[t];
} else {
if (gn < 8) {
for (t = 0 ; t <= src_snk_dt; t++)
cplx_buf[t] = bc_baryon_t * (bb_re_cur[t] + I*bb_im_cur[t]);
} else {
for (t = 0 ; t <= src_snk_dt; t++)
cplx_buf[t] = -bc_baryon_t * (bb_re_cur[t] + I*bb_im_cur[t]);
}
}
/* write to AFF */
snprintf(buf, sizeof(buf), "g%d/qx%d_qy%d_qz%d",
gn, get_mom(mom, i_mom)[0],
get_mom(mom, i_mom)[1], get_mom(mom, i_mom)[2]);
struct AffNode_s *node = aff_writer_mkpath(aff_w->ptr, aff_top, buf);
if (NULL == node) {
qlua_free(L, bb_arr);
qlua_free(L, cplx_buf);
return aff_writer_errstr(aff_w->ptr);
}
if (aff_node_put_complex(aff_w->ptr, node, cplx_buf, src_snk_dt + 1)) {
qlua_free(L, bb_arr);
qlua_free(L, cplx_buf);
return aff_writer_errstr(aff_w->ptr);
}
}
qlua_free(L, cplx_buf);
}
#undef bb_real
#undef bb_imag
#undef get_mom
qlua_free(L, bb_arr);
QDP_D3_reset_P(F);
QDP_D3_reset_P(B);
return 0;
}
static void
hb_func(NCPROT1 QLA_ColorMatrix(*m), int site)
{
QLA_RandomState *srs = rs + site;
if(QLA_Nc==1) { // exp(-fac*Re[u*z]) = exp(-fac*|z|*cos(t))
// call Wensley heatbath
QLA_Complex cc;
QLA_Real r, phi, g, theta;
// *m contains r*exp(i*phi), extract r and phi
// extract QLA matrix element as complex number
QLA_c_eq_c(cc, QLA_elem_M(*m,0,0));
// get norm and arg
QLA_R_eq_norm_C( &r, &cc );
QLA_R_eq_arg_C( &phi, &cc );
g = fac*r;
// generate theta with probability P(theta)=exp( g*cos(theta) )
get_hb1( &theta, g, srs );
// convert to real and imag
//QLA_Real vr = cos( theta - phi );
//QLA_Real vi = sin( theta - phi );
// assemble QLA complex number and set QLA U(1) matrix to this
//QLA_c_eq_r_plus_i_r( QLA_elem_M(*m,0,0), vr, vi );
QLA_elem_M(*m,0,0) = QLAP(cexpi)(theta - phi);
} else {
QLA_ColorMatrix(s);
QLA_ColorMatrix(t);
QLA_ColorMatrix(tt);
QLA_Complex one;
QLA_c_eq_r(one, 1);
QLA_M_eq_c(&s, &one);
/* Loop over SU(2) subgroup index */
for(int i=0; i<QLA_Nc; i++) {
for(int j=i+1; j<QLA_Nc; j++) {
QLA_Real a[4], b[4], r[4], rn, rl;
su2_extract(NCARG r, m, i, j);
rn = sqrt( r[0]*r[0] + r[1]*r[1] + r[2]*r[2] + r[3]*r[3] );
rl = fac*rn;
if(rn<1e-10) {
a[0] = 1; a[1] = a[2] = a[3] = 0;
} else {
rn = 1/rn;
a[0] = rn*r[0];
a[1] = -rn*r[1];
a[2] = -rn*r[2];
a[3] = -rn*r[3];
}
get_hb2(b, rl, srs);
//b[0] = 1; b[1] = b[2] = b[3] = 0;
r[0] = b[0]*a[0] - b[1]*a[1] - b[2]*a[2] - b[3]*a[3];
r[1] = b[0]*a[1] + b[1]*a[0] - b[2]*a[3] + b[3]*a[2];
r[2] = b[0]*a[2] + b[2]*a[0] - b[3]*a[1] + b[1]*a[3];
r[3] = b[0]*a[3] + b[3]*a[0] - b[1]*a[2] + b[2]*a[1];
su2_fill(NCARG &t, r, i, j);
QLA_M_eq_M_times_M(&tt, &t, &s);
QLA_M_eq_M(&s, &tt);
QLA_M_eq_M_times_M(&tt, &t, m);
QLA_M_eq_M(m, &tt);
}
}
QLA_M_eq_M(m, &s);
}
}
static void
get_staple_plaq(QDP_ColorMatrix *staple, int mu, QDP_ColorMatrix *u[],
QOP_gauge_coeffs_t *coeffs,
QDP_Subset subset, QDP_Subset osubset)
{
#define NC QDP_get_nc(staple)
QDP_Lattice *lat = QDP_get_lattice_M(staple);
int nd = QDP_ndim_L(lat);
QDP_Shift *neighbor = QDP_neighbor_L(lat);
QLA_Real plaq = coeffs->plaquette;
QLA_Real adpl = coeffs->adjoint_plaquette;
#if 1
QDP_ColorMatrix *temp1, *temp2, *temp3, *temp4, *temp5, *temp6;
//temp1 = QDP_create_M();
temp2 = QDP_create_M_L(lat);
//temp3 = QDP_create_M();
temp4 = QDP_create_M_L(lat);
//temp5 = QDP_create_M();
temp6 = QDP_create_M_L(lat);
QDP_Complex *tc = NULL;
if(adpl!=0) tc = QDP_create_C_L(lat);
/* staple += u[nu](x) u[mu](x+nu) u*[nu](x+mu)
* + u*[nu](x-nu) u[mu](x-nu) u[nu](x-nu+mu) */
for(int nu=0; nu<nd; nu++) {
if (nu == mu) continue;
temp1 = QDP_create_M_L(lat);
temp3 = QDP_create_M_L(lat);
temp5 = QDP_create_M_L(lat);
QDP_M_eq_sM(temp1, u[nu], neighbor[mu], QDP_forward, QDP_all_L(lat));
QDP_M_eq_Ma_times_M(temp2, u[nu], u[mu], osubset);
QDP_M_eq_sM(temp3, u[mu], neighbor[nu], QDP_forward, subset);
QDP_M_eq_M_times_M(temp4, temp2, temp1, osubset);
QDP_M_eq_sM(temp5, temp4, neighbor[nu], QDP_backward, subset);
QDP_M_eq_M_times_M(temp6, u[nu], temp3, subset);
//QDP_M_peq_M_times_Ma(staple, temp6, temp1, subset);
//QDP_M_peq_M(staple, temp5, subset);
if(adpl==0) {
QDP_M_peq_M_times_Ma(temp5, temp6, temp1, subset);
QDP_M_peq_r_times_M(staple, &plaq, temp5, subset);
} else {
QLA_Complex z;
QLA_c_eq_r(z, plaq/adpl);
QDP_C_eq_c(tc, &z, subset);
QDP_M_eq_M_times_Ma(temp2, temp6, temp1, subset);
QDP_C_peq_M_dot_M(tc, temp2, u[mu], subset);
QDP_C_eq_r_times_C(tc, &adpl, tc, subset);
QDP_M_peq_C_times_M(staple, tc, temp2, subset);
QDP_C_eq_c(tc, &z, subset);
QDP_C_peq_M_dot_M(tc, temp5, u[mu], subset);
QDP_C_eq_r_times_C(tc, &adpl, tc, subset);
QDP_M_peq_C_times_M(staple, tc, temp5, subset);
}
//QDP_discard_M(temp1);
//QDP_discard_M(temp3);
//QDP_discard_M(temp5);
QDP_destroy_M(temp1);
QDP_destroy_M(temp3);
QDP_destroy_M(temp5);
} /* closes nu loop */
if(adpl!=0) QDP_destroy_C(tc);
//QDP_destroy_M(temp1);
QDP_destroy_M(temp2);
//QDP_destroy_M(temp3);
QDP_destroy_M(temp4);
//QDP_destroy_M(temp5);
QDP_destroy_M(temp6);
#else
QDP_ColorMatrix *t = QDP_create_M_L(lat);
int nu, path[3];
QDP_Subset subs[2];
subs[0] = subset;
subs[1] = osubset;
for(nu=0; nu<nd; nu++) {
if (nu == mu) continue;
path[0] = 1+nu;
path[1] = -(1+mu);
path[2] = -(1+nu);
path_prod(u, t, path, 3, 1, subs, neighsubeo);
QDP_M_peq_M(staple, t, subset);
path[0] = -(1+nu);
path[1] = -(1+mu);
path[2] = 1+nu;
path_prod(u, t, path, 3, 1, subs, neighsubeo);
QDP_M_peq_M(staple, t, subset);
}
QDP_destroy_M(t);
#endif
}
static void
get_staple_imp(QDP_ColorMatrix *staple, int mu, QDP_ColorMatrix **u,
QOP_gauge_coeffs_t *coeffs,
int subl, QDP_Subset subs[], int (*neighsub)(int subl, int dir))
{
#define NC QDP_get_nc(staple)
QDP_Lattice *lat = QDP_get_lattice_M(staple);
int nd = QDP_ndim_L(lat);
int nd2 = 2*nd;
QLA_Real plaq = coeffs->plaquette;
QLA_Real rect = coeffs->rectangle;
QLA_Real pgm = coeffs->parallelogram;
QLA_Real adpl = coeffs->adjoint_plaquette;
QDP_ColorMatrix *sm0[2][nd2];
QDP_ColorMatrix *t = QDP_create_M_L(lat);
for(int i=0; i<2; i++) {
tm[i] = QDP_create_M_L(lat);
sm[i] = sm0[i];
for(int nu=0; nu<nd2; nu++) {
sm[i][nu] = QDP_create_M_L(lat);
}
}
QDP_Complex *tc = NULL;
if(adpl!=0) tc = QDP_create_C_L(lat);
int mup = 1 + mu;
int bsubl = neighsub(subl, mup);
int path[5];
QDP_Subset subset = subs[subl];
if(plaq!=0 || adpl!=0) {
for(int nu=-nd; nu<=nd; nu++) {
if ( nu==-mup || nu==0 || nu==mup ) continue;
path[0] = nu;
path[1] = -mup;
path[2] = -nu;
path_prod(u, t, path, 3, bsubl, subs, neighsub);
if(adpl==0) {
QDP_M_peq_r_times_M(staple, &plaq, t, subset);
} else {
QLA_Complex z;
QLA_c_eq_r(z, plaq/adpl);
QDP_C_eq_c(tc, &z, subset);
QDP_C_peq_M_dot_M(tc, t, u[mu], subset);
QDP_C_eq_r_times_C(tc, &adpl, tc, subset);
QDP_M_peq_C_times_M(staple, tc, t, subset);
}
}
}
if(rect) {
for(int nu=-nd; nu<=nd; nu++) {
if ( nu==-mup || nu==0 || nu==mup ) continue;
//s = QDP_create_M();
path[0] = nu;
path[1] = nu;
path[2] = -mup;
path[3] = -nu;
path[4] = -nu;
path_prod(u, t, path, 5, bsubl, subs, neighsub);
QDP_M_peq_r_times_M(staple, &rect, t, subset);
//QDP_destroy_M(s);
//s = QDP_create_M();
path[0] = nu;
path[1] = -mup;
path[2] = -mup;
path[3] = -nu;
path[4] = mup;
path_prod(u, t, path, 5, bsubl, subs, neighsub);
QDP_M_peq_r_times_M(staple, &rect, t, subset);
//QDP_destroy_M(s);
//s = QDP_create_M();
path[0] = mup;
path[1] = nu;
path[2] = -mup;
path[3] = -mup;
path[4] = -nu;
path_prod(u, t, path, 5, bsubl, subs, neighsub);
QDP_M_peq_r_times_M(staple, &rect, t, subset);
//QDP_destroy_M(s);
}
}
if(pgm) {
for(int nu=-nd; nu<=nd; nu++) {
if ( nu==-mup || nu==0 || nu==mup ) continue;
for(int rho=-nd; rho<=nd; rho++) {
if ( rho==-mup || rho==0 || rho==mup || rho==-nu || rho==nu ) continue;
path[0] = nu;
path[1] = rho;
path[2] = -mup;
path[3] = -nu;
path[4] = -rho;
path_prod(u, t, path, 5, bsubl, subs, neighsub);
QDP_M_peq_r_times_M(staple, &pgm, t, subset);
}
}
}
if(adpl!=0) QDP_destroy_C(tc);
QDP_destroy_M(t);
for(int i=0; i<2; i++) {
for(int nu=0; nu<nd2; nu++) {
QDP_destroy_M(sm[i][nu]);
}
QDP_destroy_M(tm[i]);
}
}
void
set_M(QLA_ColorMatrix *m, int i)
{
#if 0
static QLA_ColorMatrix t;
for(int j=0; j<QLA_Nc; j++) {
for(int k=0; k<QLA_Nc; k++) {
QLA_c_eq_r_plus_ir(QLA_elem_M(*m,j,k),
(((j-k+QLA_Nc+1)*(j+k+1))%19)+cos(i),
(((j+4)*(k+1))%17)+sin(i));
//QLA_real(QLA_elem_M(*m,j,k)) = 1;
//QLA_imag(QLA_elem_M(*m,j,k)) = 0;
}
}
#endif
for(int j=0; j<QLA_Nc; j++) {
for(int k=0; k<QLA_Nc; k++) {
QLA_c_eq_r(QLA_elem_M(*m,j,k), 0);
}
}
QLA_Real step = 1e-5;
if(Mtype&MtypeNZ) {
for(int j=0; j<QLA_Nc; j++) {
QLA_c_peq_r_plus_ir(QLA_elem_M(*m,j,j), step, -step);
}
}
int ii=i;
if((Mtype&MtypeNN)==0) ii>>=QLA_Nc;
for(int j=0,k=1; ii; ii>>=1,j++) {
if(j>=QLA_Nc) { j=0; k*=2; }
if(ii&1) QLA_c_peq_r_plus_ir(QLA_elem_M(*m,j,j), k*step, -k*step);
}
ii = i;
if((Mtype&MtypeNN)==0) {
for(int j=0; j<QLA_Nc; j++) {
if(ii&1) QLA_c_eqm_c(QLA_elem_M(*m,j,j), QLA_elem_M(*m,j,j));
ii >>= 1;
}
}
if(Mtype&MtypeH) { // make Hermitian
QLA_ColorMatrix m2;
QLA_M_eq_M(&m2, m);
QLA_M_peq_Ma(&m2, m);
QLA_M_eq_M(m, &m2);
}
if((Mtype&MtypeP)&&(Mtype&MtypeH)) { // make positive Hermitian
QLA_ColorMatrix m2;
QLA_M_eq_M_times_Ma(&m2, m, m);
QLA_M_eq_M(m, &m2);
}
if(Mtype&MtypeA) { // make anti-Hermitian
QLA_ColorMatrix m2;
QLA_M_eq_M(&m2, m);
QLA_M_meq_Ma(&m2, m);
QLA_M_eq_M(m, &m2);
}
if((Mtype&MtypeT)&&(Mtype&MtypeA)) { // make traceless anti-Hermitian
QLA_ColorMatrix m2;
QLA_M_eq_antiherm_M(&m2, m);
QLA_M_eq_M(m, &m2);
}
//QLA_Real n2;
//QLA_r_eq_norm2_M(&n2, m);
//printf("%i\t%g\n", i, n2);
}
