void
XMP_dist_double_array(int src_node, int count, double *data)
{
if (src_node != QDP_this_node)
memset(data, 0, count * sizeof (double));
QMP_sum_double_array(data, count);
}
static int
q_I_sum(lua_State *L)
{
mLatInt *a = qlua_checkLatInt(L, 1, NULL);
int argc = lua_gettop(L);
mLattice *S = qlua_ObjLattice(L, 1);
int Sidx = lua_gettop(L);
switch (argc) {
case 1: {
QLA_Real sum;
CALL_QDP(L);
if (S->lss.mask) {
mLatInt *b = qlua_newZeroLatInt(L, Sidx);
QDP_I_eq_I_mask_I(b->ptr, a->ptr, S->lss.mask, *S->qss);
QDP_r_eq_sum_I(&sum, b->ptr, *S->qss);
lua_pop(L, 1);
} else {
QDP_r_eq_sum_I(&sum, a->ptr, *S->qss);
}
lua_pushnumber(L, sum);
return 1;
}
case 2: { /* NB: does not use the subset mask */
mLatMulti *m = qlua_checkLatMulti(L, 2, S);
int size = m->size;
QLA_Int *ii = m->idx;
mVecReal *r = qlua_newVecReal(L, size);
int sites = QDP_sites_on_node_L(S->lat);
int k;
QLA_Int *xx;
for (k = 0; k < size; k++)
r->val[k] = 0;
CALL_QDP(L);
xx = QDP_expose_I(a->ptr);
for (k = 0; k < sites; k++, xx++, ii++) {
int t = *ii;
if ((t < 0) || (t >= size))
continue;
r->val[t] += *xx;
}
QDP_reset_I(a->ptr);
QMP_sum_double_array(r->val, size);
return 1;
}
}
return luaL_error(L, "bad arguments for Int:sum()");
}
void comm_allreduce_array(double* data, size_t size)
{
QMP_CHECK( QMP_sum_double_array(data, size) );
}
/* 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;
}
