/* Put antihermitian traceless part into momentum */
static void
add_forces_to_mom(QDP_ColorVector **back_qdp, QDP_ColorVector **forw_qdp,
int dir, REAL coeff[], int nsrc)
{
REAL tmp_coeff[nsrc];
QDP_ColorMatrix *tm[nsrc];
int i;
QOP_trace("test 481\n");
if(GOES_BACKWARDS(dir)) {
dir = OPP_DIR(dir);
for(i=0; i<nsrc; i++) {
tmp_coeff[i] = -coeff[i];
}
} else {
for(i=0; i<nsrc; i++) {
tmp_coeff[i] = coeff[i];
}
}
QOP_trace("test 482\n");
for(i=0; i<nsrc; i++) {
QDP_V_eq_r_times_V(tv[i], &tmp_coeff[i], forw_qdp[i], QDP_all);
tm[i] = tempmom_qdp[dir];
}
QOP_trace("test 483\n");
QDP_M_vpeq_V_times_Va(tm, back_qdp, tv, QDP_all, nsrc);
QOP_trace("test 484\n");
}
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
}
/* update the momenta with the gauge force */
void QOP_symanzik_1loop_gauge_force(QOP_info_t *info, QOP_GaugeField *gauge,
QOP_Force *force, QOP_gauge_coeffs_t *coeffs, Real eps)
{
register int i,dir;
register site *st;
su3_matrix tmat1;
register Real eb3; /* Note: eps now includes eps*beta */
register su3_matrix* momentum;
su3_matrix *staple, *tempmat1;
/* lengths of various kinds of loops */
int *loop_length = get_loop_length();
/* number of rotations/reflections for each kind */
int *loop_num = get_loop_num();
/* table of directions, 1 for each kind of loop */
int ***loop_table = get_loop_table();
/* table of coefficients in action, for various "representations"
(actually, powers of the trace) */
Real **loop_coeff = get_loop_coeff(); /* We make our own */
int max_length = get_max_length(); /* For Symanzik 1 loop! */
int nloop = get_nloop();
int nreps = get_nreps();
su3_matrix *forwardlink[4];
su3_matrix *tmpmom[4];
int nflop = 153004; /* For Symanzik1 action */
Real final_flop;
double dtime;
int j,k;
int *dirs,length;
int *path_dir,path_length;
int ln,iloop;
Real action,act2,new_term;
int ncount;
char myname[] = "imp_gauge_force";
dtime=-dclock();
info->status = QOP_FAIL;
/* Parity requirements */
if(gauge->evenodd != QOP_EVENODD ||
force->evenodd != QOP_EVENODD
)
{
printf("QOP_asqtad_force: Bad parity gauge %d force %d\n",
gauge->evenodd, force->evenodd);
return;
}
/* Map field pointers to local static pointers */
FORALLUPDIR(dir){
forwardlink[dir] = gauge->g + dir*sites_on_node;
tmpmom[dir] = force->f + dir*sites_on_node;
}
/* Check loop coefficients */
if(coeffs->plaquette != loop_coeff[0][0] ||
coeffs->rectangle != loop_coeff[1][0] ||
coeffs->parallelogram != loop_coeff[2][0])
{
printf("%s(%d): Path coeffs don't match\n",myname,this_node);
return;
}
/* Allocate arrays according to action */
dirs = (int *)malloc(max_length*sizeof(int));
if(dirs == NULL){
printf("%s(%d): Can't malloc dirs\n",myname,this_node);
return;
}
path_dir = (int *)malloc(max_length*sizeof(int));
if(path_dir == NULL){
printf("%s(%d): Can't malloc path_dir\n",myname,this_node);
return;
}
staple = (su3_matrix *)special_alloc(sites_on_node*sizeof(su3_matrix));
if(staple == NULL){
printf("%s(%d): Can't malloc temporary\n",myname,this_node);
return;
}
tempmat1 = (su3_matrix *)special_alloc(sites_on_node*sizeof(su3_matrix));
if(tempmat1 == NULL){
printf("%s(%d): Can't malloc temporary\n",myname,this_node);
return;
}
eb3 = eps/3.0;
/* Loop over directions, update mom[dir] */
for(dir=XUP; dir<=TUP; dir++){
FORALLSITES(i,st)for(j=0;j<3;j++)for(k=0;k<3;k++){
staple[i].e[j][k]=cmplx(0.0,0.0);
} END_LOOP
ncount=0;
for(iloop=0;iloop<nloop;iloop++){
length=loop_length[iloop];
for(ln=0;ln<loop_num[iloop];ln++){
/**printf("UPD: "); printpath( loop_table[iloop][ln], length );**/
/* set up dirs. we are looking at loop starting in "XUP"
direction, rotate so it starts in "dir" direction. */
for(k=0;k<length;k++){
if( GOES_FORWARDS(loop_table[iloop][ln][k]) ){
dirs[k]=(dir+loop_table[iloop][ln][k] )% 4;
}
else {
dirs[k]=OPP_DIR(
(dir+OPP_DIR(loop_table[iloop][ln][k]))%4 );
}
}
path_length= length-1; /* generalized "staple" */
/* check for links in direction of momentum to be
updated, each such link gives a contribution. Note
the direction of the path - opposite the link. */
for(k=0;k<length;k++)if( dirs[k]==dir||dirs[k]==OPP_DIR(dir)) {
if( GOES_FORWARDS(dirs[k]) ) for(j=0;j<path_length;j++) {
path_dir[j] = dirs[(k+j+1)%length];
}
if( GOES_BACKWARDS(dirs[k]) ) for(j=0;j<path_length;j++) {
path_dir[path_length-1-j] =
OPP_DIR(dirs[(k+j+1)%length]);
}
/**if(dir==XUP)printf("X_UPDATE PATH: "); printpath( path_dir, path_length );**/
path_product(path_dir,path_length, tempmat1);
/* We took the path in the other direction from our
old convention in order to get it to end up
"at our site", so now take adjoint */
/* then compute "single_action" contribution to
staple */
FORALLSITES(i,st){
su3_adjoint( &(tempmat1[i]), &tmat1 );
/* first we compute the fundamental term */
new_term = loop_coeff[iloop][0];
/* now we add in the higher representations */
if(nreps > 1){
node0_printf("WARNING: THIS CODE IS NOT TESTED\n"); exit(0);
act2=1.0;
action = 3.0 - realtrace_su3(forwardlink[dir]+i,
&tmat1 );
for(j=1;j<nreps;j++){
act2 *= action;
new_term +=
loop_coeff[iloop][j]*act2*(Real)(j+1);
}
} /* end if nreps > 1 */
scalar_mult_add_su3_matrix( &(staple[i]), &tmat1,
new_term, &(staple[i]) );
} END_LOOP
ncount++;
} /* k (location in path) */
} /* ln */
} /* iloop */
/* Now multiply the staple sum by the link, then update momentum */
FORALLSITES(i,st){
mult_su3_na( forwardlink[dir]+i, &(staple[i]), &tmat1 );
momentum = tmpmom[dir] + i;
scalar_mult_sub_su3_matrix( momentum, &tmat1,
eb3, momentum );
} END_LOOP
/* Smearing level i*/
static void
QOP_hisq_force_multi_smearing_fnmat(QOP_info_t *info,
QDP_ColorMatrix * gf[4],
REAL *residues,
QDP_ColorVector *x[],
int nterms,
QDP_ColorMatrix *force_accum[4],
QDP_ColorMatrix *force_accum_old[4],
QDP_ColorMatrix *force_accum_naik_old[4],
int internal_num_q_paths,
Q_path *internal_q_paths_sorted,
int *internal_netbackdir_table)
{
int i,j,k,lastdir=-99,ipath,ilink;
int length,dir,odir;
REAL coeff;
QDP_ColorMatrix *tmat;
QDP_ColorMatrix *oprod_along_path[MAX_PATH_LENGTH+1];
QDP_ColorMatrix *mats_along_path[MAX_PATH_LENGTH+1];
QDP_ColorMatrix *mat_tmp0,*mat_tmp1, *stmp[8];;
QDP_ColorVector *vec_tmp[2];
int netbackdir;
size_t nflops = 0;
// table of net path displacements (backwards from usual convention)
Q_path *this_path; // pointer to current path
/* Allocate fields */
for(i=0;i<=MAX_PATH_LENGTH;i++){
oprod_along_path[i] = QDP_create_M();
}
for(i=1;i<=MAX_PATH_LENGTH;i++){
// 0 element is never used (it's unit matrix)
mats_along_path[i] = QDP_create_M();
}
mat_tmp0 = QDP_create_M();
mat_tmp1 = QDP_create_M();
for(i=0; i<8; i++) stmp[i] = QDP_create_M();
tmat = QDP_create_M();
vec_tmp[0] = QDP_create_V();
vec_tmp[1] = QDP_create_V();
// clear force accumulators
for(dir=XUP;dir<=TUP;dir++)
QDP_M_eq_zero(force_accum[dir], QDP_all);
// loop over paths, and loop over links in path
for( ipath=0; ipath<internal_num_q_paths; ipath++ ){
this_path = &(internal_q_paths_sorted[ipath]);
if(this_path->forwback== -1)continue; // skip backwards dslash
length = this_path->length;
netbackdir = internal_netbackdir_table[ipath];
// move f(i-1) force from current site in positive direction,
// this corresponds to outer product |X><Y| calculated at the endpoint of the path
if( netbackdir<8) { // Not a Naik path
link_gather_connection_qdp(oprod_along_path[0] ,
force_accum_old[OPP_DIR(netbackdir)],
tmat, netbackdir );
}
else { // Naik path
if( NULL==force_accum_naik_old ) {
QOP_printf0( "hisq_force_multi_smearing_fnmat: mismatch:\n" );
QOP_printf0( "force_accum_naik_old is NULL, but path table contains Naik paths(!)\n" );
exit(0);
}
// CONVERSION FROM 3-LINK DIRECTION TO 1-LINK DIRECTION
link_gather_connection_qdp(oprod_along_path[0] ,
force_accum_naik_old[OPP_DIR(netbackdir-8)],
tmat, netbackdir );
}
// figure out how much of the outer products along the path must be
// recomputed. j is last one needing recomputation. k is first one.
j=length-1; // default is recompute all
if( GOES_BACKWARDS(this_path->dir[0]) ) k=1; else k=0;
for(ilink=j;ilink>=k;ilink--){
link_transport_connection_qdp( oprod_along_path[length-ilink],
oprod_along_path[length-ilink-1], gf,
mat_tmp0, stmp, this_path->dir[ilink] );
nflops += 198;
}
// maintain an array of transports "to this point" along the path.
// Don't recompute beginning parts of path if same as last path
ilink=0; // first link where new transport is needed
// Sometimes we don't need the matrix for the last link
if( GOES_FORWARDS(this_path->dir[length-1]) ) k=length-1; else k=length;
for( ; ilink<k; ilink++ ){
if( ilink==0 ){
dir = this_path->dir[0];
if( GOES_FORWARDS(dir) ){
QDP_M_eq_sM(tmat, gf[dir], QDP_neighbor[dir],
QDP_backward, QDP_all);
QDP_M_eq_Ma(mats_along_path[1], tmat, QDP_all);
QDP_discard_M(tmat);
}
else{
QDP_M_eq_M(mats_along_path[1], gf[OPP_DIR(dir)], QDP_all);
}
}
else { // ilink != 0
dir = OPP_DIR(this_path->dir[ilink]);
link_transport_connection_qdp( mats_along_path[ilink+1],
mats_along_path[ilink], gf,
mat_tmp0, stmp, dir );
nflops += 198;
}
} // end loop over links
// A path has (length+1) points, counting the ends. At first
// point, no "down" direction links have their momenta "at this
// point". At last, no "up" ...
if( GOES_FORWARDS(this_path->dir[length-1]) ) k=length-1; else k=length;
for( ilink=0; ilink<=k; ilink++ ){
if(ilink<length)dir = this_path->dir[ilink];
else dir=NODIR;
coeff = this_path->coeff;
if( (ilink%2)==1 )coeff = -coeff;
// add in contribution to the force
if( ilink<length && GOES_FORWARDS(dir) ){
link_gather_connection_qdp(mat_tmp1,
oprod_along_path[length-ilink-1], tmat, dir );
if(ilink==0)
{
QDP_M_eq_M(mat_tmp0,mat_tmp1,QDP_all);
}
else
{
QDP_M_eq_M_times_Ma(mat_tmp0, mats_along_path[ilink],
mat_tmp1, QDP_all);
nflops += 198;
QDP_M_eq_Ma(mat_tmp1,mat_tmp0,QDP_all);
}
QDP_M_peq_r_times_M(force_accum[dir],&coeff,mat_tmp1,QDP_all);
nflops += 36;
}
if( ilink>0 && GOES_BACKWARDS(lastdir) ){
odir = OPP_DIR(lastdir);
if( ilink==1 ){
QDP_M_eq_M(mat_tmp0,oprod_along_path[length-ilink],QDP_all);
QDP_M_eq_Ma(mat_tmp1,mat_tmp0,QDP_all);
}
else{
link_gather_connection_qdp(mat_tmp1, mats_along_path[ilink-1],
tmat, odir );
QDP_M_eq_M_times_Ma(mat_tmp0, oprod_along_path[length-ilink],
mat_tmp1, QDP_all);
nflops += 198;
QDP_M_eq_Ma(mat_tmp1, mat_tmp0, QDP_all);
}
QDP_M_peq_r_times_M(force_accum[odir],&coeff,mat_tmp1,QDP_all);
nflops += 36;
}
lastdir = dir;
} // end loop over links in path //
} // end loop over paths //
QDP_destroy_V( vec_tmp[0] );
QDP_destroy_V( vec_tmp[1] );
QDP_destroy_M( mat_tmp0 );
QDP_destroy_M( mat_tmp1 );
QDP_destroy_M( tmat );
for(i=0; i<8; i++) QDP_destroy_M(stmp[i]);
for(i=0;i<=MAX_PATH_LENGTH;i++){
QDP_destroy_M( oprod_along_path[i] );
}
for(i=1;i<=MAX_PATH_LENGTH;i++){
QDP_destroy_M( mats_along_path[i] );
}
info->final_flop = ((double)nflops)*QDP_sites_on_node;
return;
}//hisq_force_multi_smearing_fnmat
/* update the momenta with the gauge force */
void imp_gauge_force_cpu( Real eps, field_offset mom_off ){
register int i,dir;
register site *st;
su3_matrix tmat1,tmat2;
register Real eb3;
register anti_hermitmat* momentum;
su3_matrix *staple, *tempmat1;
/* lengths of various kinds of loops */
int *loop_length = get_loop_length();
/* number of rotations/reflections for each kind */
int *loop_num = get_loop_num();
/* table of directions, 1 for each kind of loop */
int ***loop_table = get_loop_table();
/* table of coefficients in action, for various "representations"
(actually, powers of the trace) */
Real **loop_coeff = get_loop_coeff();
int max_length = get_max_length();
int nloop = get_nloop();
int nreps = get_nreps();
#ifdef GFTIME
int nflop = 153004; /* For Symanzik1 action */
double dtime;
#endif
int j,k;
int *dirs,length;
int *path_dir,path_length;
int ln,iloop;
Real action,act2,new_term;
int ncount;
char myname[] = "imp_gauge_force";
#ifdef GFTIME
dtime=-dclock();
#endif
dirs = (int *)malloc(max_length*sizeof(int));
if(dirs == NULL){
printf("%s(%d): Can't malloc dirs\n",myname,this_node);
terminate(1);
}
path_dir = (int *)malloc(max_length*sizeof(int));
if(path_dir == NULL){
printf("%s(%d): Can't malloc path_dir\n",myname,this_node);
terminate(1);
}
staple = (su3_matrix *)special_alloc(sites_on_node*sizeof(su3_matrix));
if(staple == NULL){
printf("%s(%d): Can't malloc temporary\n",myname,this_node);
terminate(1);
}
tempmat1 = (su3_matrix *)special_alloc(sites_on_node*sizeof(su3_matrix));
if(tempmat1 == NULL){
printf("%s(%d): Can't malloc temporary\n",myname,this_node);
terminate(1);
}
eb3 = eps*beta/3.0;
/* Loop over directions, update mom[dir] */
for(dir=XUP; dir<=TUP; dir++){
FORALLSITES(i,st)for(j=0;j<3;j++)for(k=0;k<3;k++){
staple[i].e[j][k]=cmplx(0.0,0.0);
} END_LOOP
ncount=0;
for(iloop=0;iloop<nloop;iloop++){
length=loop_length[iloop];
for(ln=0;ln<loop_num[iloop];ln++){
/**printf("UPD: "); printpath( loop_table[iloop][ln], length );**/
/* set up dirs. we are looking at loop starting in "XUP"
direction, rotate so it starts in "dir" direction. */
for(k=0;k<length;k++){
if( GOES_FORWARDS(loop_table[iloop][ln][k]) ){
dirs[k]=(dir+loop_table[iloop][ln][k] )% 4;
}
else {
dirs[k]=OPP_DIR(
(dir+OPP_DIR(loop_table[iloop][ln][k]))%4 );
}
}
path_length= length-1; /* generalized "staple" */
/* check for links in direction of momentum to be
updated, each such link gives a contribution. Note
the direction of the path - opposite the link. */
for(k=0;k<length;k++)if( dirs[k]==dir||dirs[k]==OPP_DIR(dir)) {
if( GOES_FORWARDS(dirs[k]) ) for(j=0;j<path_length;j++) {
path_dir[j] = dirs[(k+j+1)%length];
}
if( GOES_BACKWARDS(dirs[k]) ) for(j=0;j<path_length;j++) {
path_dir[path_length-1-j] =
OPP_DIR(dirs[(k+j+1)%length]);
}
/**if(dir==XUP)printf("X_UPDATE PATH: "); printpath( path_dir, path_length );**/
path_product(path_dir,path_length, tempmat1);
/* We took the path in the other direction from our
old convention in order to get it to end up
"at our site", so now take adjoint */
/* then compute "single_action" contribution to
staple */
FORALLSITES(i,st){
su3_adjoint( &(tempmat1[i]), &tmat1 );
/* first we compute the fundamental term */
new_term = loop_coeff[iloop][0];
/* now we add in the higher representations */
if(nreps > 1){
node0_printf("WARNING: THIS CODE IS NOT TESTED\n"); exit(0);
act2=1.0;
action = 3.0 - realtrace_su3(&(st->link[dir]),
&tmat1 );
for(j=1;j<nreps;j++){
act2 *= action;
new_term +=
loop_coeff[iloop][j]*act2*(Real)(j+1);
}
} /* end if nreps > 1 */
scalar_mult_add_su3_matrix( &(staple[i]), &tmat1,
new_term, &(staple[i]) );
} END_LOOP
ncount++;
} /* k (location in path) */
} /* ln */
} /* iloop */
/* Now multiply the staple sum by the link, then update momentum */
FORALLSITES(i,st){
mult_su3_na( &(st->link[dir]), &(staple[i]), &tmat1 );
momentum = (anti_hermitmat *)F_PT(st,mom_off);
uncompress_anti_hermitian( &momentum[dir], &tmat2 );
scalar_mult_sub_su3_matrix( &tmat2, &tmat1,
eb3, &(staple[i]) );
make_anti_hermitian( &(staple[i]), &momentum[dir] );
} END_LOOP
