void op_invert(const int op_id, const int index_start, const int write_prop) {
operator * optr = &operator_list[op_id];
double atime = 0., etime = 0., nrm1 = 0., nrm2 = 0.;
int i;
optr->iterations = 0;
optr->reached_prec = -1.;
g_kappa = optr->kappa;
boundary(g_kappa);
atime = gettime();
if(optr->type == TMWILSON || optr->type == WILSON || optr->type == CLOVER) {
g_mu = optr->mu;
g_c_sw = optr->c_sw;
if(optr->type == CLOVER) {
if (g_cart_id == 0 && g_debug_level > 1) {
printf("#\n# csw = %e, computing clover leafs\n", g_c_sw);
}
init_sw_fields(VOLUME);
sw_term( (const su3**) g_gauge_field, optr->kappa, optr->c_sw);
/* this must be EE here! */
/* to match clover_inv in Qsw_psi */
sw_invert(EE, optr->mu);
}
for(i = 0; i < 2; i++) {
if (g_cart_id == 0) {
printf("#\n# 2 kappa mu = %e, kappa = %e, c_sw = %e\n", g_mu, g_kappa, g_c_sw);
}
if(optr->type != CLOVER) {
if(use_preconditioning){
g_precWS=(void*)optr->precWS;
}
else {
g_precWS=NULL;
}
optr->iterations = invert_eo( optr->prop0, optr->prop1, optr->sr0, optr->sr1,
optr->eps_sq, optr->maxiter,
optr->solver, optr->rel_prec,
0, optr->even_odd_flag,optr->no_extra_masses, optr->extra_masses, optr->solver_params, optr->id );
/* check result */
M_full(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], optr->prop0, optr->prop1);
}
else {
optr->iterations = invert_clover_eo(optr->prop0, optr->prop1, optr->sr0, optr->sr1,
optr->eps_sq, optr->maxiter,
optr->solver, optr->rel_prec,optr->solver_params,
&g_gauge_field, &Qsw_pm_psi, &Qsw_minus_psi);
/* check result */
Msw_full(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], optr->prop0, optr->prop1);
}
diff(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], optr->sr0, VOLUME / 2);
diff(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+1], optr->sr1, VOLUME / 2);
nrm1 = square_norm(g_spinor_field[DUM_DERI], VOLUME / 2, 1);
nrm2 = square_norm(g_spinor_field[DUM_DERI+1], VOLUME / 2, 1);
optr->reached_prec = nrm1 + nrm2;
/* convert to standard normalisation */
/* we have to mult. by 2*kappa */
if (optr->kappa != 0.) {
mul_r(optr->prop0, (2*optr->kappa), optr->prop0, VOLUME / 2);
mul_r(optr->prop1, (2*optr->kappa), optr->prop1, VOLUME / 2);
}
if (optr->solver != CGMMS && write_prop) /* CGMMS handles its own I/O */
optr->write_prop(op_id, index_start, i);
if(optr->DownProp) {
optr->mu = -optr->mu;
} else
break;
}
}
else if(optr->type == DBTMWILSON || optr->type == DBCLOVER) {
g_mubar = optr->mubar;
g_epsbar = optr->epsbar;
g_c_sw = 0.;
if(optr->type == DBCLOVER) {
g_c_sw = optr->c_sw;
if (g_cart_id == 0 && g_debug_level > 1) {
printf("#\n# csw = %e, computing clover leafs\n", g_c_sw);
}
init_sw_fields(VOLUME);
sw_term( (const su3**) g_gauge_field, optr->kappa, optr->c_sw);
sw_invert_nd(optr->mubar*optr->mubar-optr->epsbar*optr->epsbar);
}
for(i = 0; i < SourceInfo.no_flavours; i++) {
if(optr->type != DBCLOVER) {
optr->iterations = invert_doublet_eo( optr->prop0, optr->prop1, optr->prop2, optr->prop3,
optr->sr0, optr->sr1, optr->sr2, optr->sr3,
optr->eps_sq, optr->maxiter,
optr->solver, optr->rel_prec);
}
else {
optr->iterations = invert_cloverdoublet_eo( optr->prop0, optr->prop1, optr->prop2, optr->prop3,
optr->sr0, optr->sr1, optr->sr2, optr->sr3,
optr->eps_sq, optr->maxiter,
optr->solver, optr->rel_prec);
}
g_mu = optr->mubar;
if(optr->type != DBCLOVER) {
M_full(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], optr->prop0, optr->prop1);
}
else {
Msw_full(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], optr->prop0, optr->prop1);
}
assign_add_mul_r(g_spinor_field[DUM_DERI+1], optr->prop2, -optr->epsbar, VOLUME/2);
assign_add_mul_r(g_spinor_field[DUM_DERI+2], optr->prop3, -optr->epsbar, VOLUME/2);
g_mu = -g_mu;
if(optr->type != DBCLOVER) {
M_full(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+4], optr->prop2, optr->prop3);
}
else {
Msw_full(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+4], optr->prop2, optr->prop3);
}
assign_add_mul_r(g_spinor_field[DUM_DERI+3], optr->prop0, -optr->epsbar, VOLUME/2);
assign_add_mul_r(g_spinor_field[DUM_DERI+4], optr->prop1, -optr->epsbar, VOLUME/2);
diff(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+1], optr->sr0, VOLUME/2);
diff(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+2], optr->sr1, VOLUME/2);
diff(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+3], optr->sr2, VOLUME/2);
diff(g_spinor_field[DUM_DERI+4], g_spinor_field[DUM_DERI+4], optr->sr3, VOLUME/2);
nrm1 = square_norm(g_spinor_field[DUM_DERI+1], VOLUME/2, 1);
nrm1 += square_norm(g_spinor_field[DUM_DERI+2], VOLUME/2, 1);
nrm1 += square_norm(g_spinor_field[DUM_DERI+3], VOLUME/2, 1);
nrm1 += square_norm(g_spinor_field[DUM_DERI+4], VOLUME/2, 1);
optr->reached_prec = nrm1;
g_mu = g_mu1;
/* For standard normalisation */
/* we have to mult. by 2*kappa */
mul_r(g_spinor_field[DUM_DERI], (2*optr->kappa), optr->prop0, VOLUME/2);
mul_r(g_spinor_field[DUM_DERI+1], (2*optr->kappa), optr->prop1, VOLUME/2);
mul_r(g_spinor_field[DUM_DERI+2], (2*optr->kappa), optr->prop2, VOLUME/2);
mul_r(g_spinor_field[DUM_DERI+3], (2*optr->kappa), optr->prop3, VOLUME/2);
/* the final result should be stored in the convention used in */
/* hep-lat/0606011 */
/* this requires multiplication of source with */
/* (1+itau_2)/sqrt(2) and the result with (1-itau_2)/sqrt(2) */
mul_one_pm_itau2(optr->prop0, optr->prop2, g_spinor_field[DUM_DERI],
g_spinor_field[DUM_DERI+2], -1., VOLUME/2);
mul_one_pm_itau2(optr->prop1, optr->prop3, g_spinor_field[DUM_DERI+1],
g_spinor_field[DUM_DERI+3], -1., VOLUME/2);
/* write propagator */
if(write_prop) optr->write_prop(op_id, index_start, i);
mul_r(optr->prop0, 1./(2*optr->kappa), g_spinor_field[DUM_DERI], VOLUME/2);
mul_r(optr->prop1, 1./(2*optr->kappa), g_spinor_field[DUM_DERI+1], VOLUME/2);
mul_r(optr->prop2, 1./(2*optr->kappa), g_spinor_field[DUM_DERI+2], VOLUME/2);
mul_r(optr->prop3, 1./(2*optr->kappa), g_spinor_field[DUM_DERI+3], VOLUME/2);
/* mirror source, but not for volume sources */
if(i == 0 && SourceInfo.no_flavours == 2 && SourceInfo.type != 1) {
if (g_cart_id == 0) {
fprintf(stdout, "# Inversion done in %d iterations, squared residue = %e!\n",
optr->iterations, optr->reached_prec);
}
mul_one_pm_itau2(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+2], optr->sr0, optr->sr2, -1., VOLUME/2);
mul_one_pm_itau2(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+3], optr->sr1, optr->sr3, -1., VOLUME/2);
mul_one_pm_itau2(optr->sr0, optr->sr2, g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI], +1., VOLUME/2);
mul_one_pm_itau2(optr->sr1, optr->sr3, g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+1], +1., VOLUME/2);
}
/* volume sources need only one inversion */
else if(SourceInfo.type == 1) i++;
}
}
else if(optr->type == OVERLAP) {
g_mu = 0.;
m_ov=optr->m;
eigenvalues(&optr->no_ev, 5000, optr->ev_prec, 0, optr->ev_readwrite, nstore, optr->even_odd_flag);
/* ov_check_locality(); */
/* index_jd(&optr->no_ev_index, 5000, 1.e-12, optr->conf_input, nstore, 4); */
ov_n_cheby=optr->deg_poly;
if(use_preconditioning==1)
g_precWS=(void*)optr->precWS;
else
g_precWS=NULL;
if(g_debug_level > 3) ov_check_ginsparg_wilson_relation_strong();
invert_overlap(op_id, index_start);
if(write_prop) optr->write_prop(op_id, index_start, 0);
}
etime = gettime();
if (g_cart_id == 0 && g_debug_level > 0) {
fprintf(stdout, "# Inversion done in %d iterations, squared residue = %e!\n",
optr->iterations, optr->reached_prec);
fprintf(stdout, "# Inversion done in %1.2e sec. \n", etime - atime);
}
return;
}
double ndratcor_acc(const int id, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[id];
double atime, etime, delta;
spinor * up0, * dn0, * up1, * dn1, * tup, * tdn;
double coefs[6] = {-1./2., 3./8., -5./16., 35./128., -63./256., 231./1024.};
atime = gettime();
nd_set_global_parameter(mnl);
g_mu3 = 0.;
if(mnl->type == NDCLOVERRATCOR) {
sw_term((const su3**) hf->gaugefield, mnl->kappa, mnl->c_sw);
sw_invert_nd(mnl->mubar*mnl->mubar - mnl->epsbar*mnl->epsbar);
copy_32_sw_fields();
}
mnl->energy1 = square_norm(mnl->pf, VOLUME/2, 1) + square_norm(mnl->pf2, VOLUME/2, 1);
mnl->solver_params.max_iter = mnl->maxiter;
mnl->solver_params.squared_solver_prec = mnl->accprec;
mnl->solver_params.no_shifts = mnl->rat.np;
mnl->solver_params.shifts = mnl->rat.mu;
mnl->solver_params.type = mnl->solver;
mnl->solver_params.M_ndpsi = &Qtm_pm_ndpsi;
mnl->solver_params.M_ndpsi32 = &Qtm_pm_ndpsi_32;
if(mnl->type == NDCLOVERRATCOR) {
mnl->solver_params.M_ndpsi = &Qsw_pm_ndpsi;
mnl->solver_params.M_ndpsi32 = &Qsw_pm_ndpsi_32;
}
mnl->solver_params.sdim = VOLUME/2;
mnl->solver_params.rel_prec = g_relative_precision_flag;
// apply (Q R)^(-1) to pseudo-fermion fields
up0 = mnl->w_fields[0]; dn0 = mnl->w_fields[1];
up1 = mnl->w_fields[2]; dn1 = mnl->w_fields[3];
apply_Z_ndpsi(up0, dn0, mnl->pf, mnl->pf2, id, hf, &(mnl->solver_params));
delta = coefs[0]*(scalar_prod_r(mnl->pf, up0, VOLUME/2, 1) + scalar_prod_r(mnl->pf2, dn0, VOLUME/2, 1));
mnl->energy1 += delta;
if(g_debug_level > 2 && g_proc_id == 0)
printf("# NDRATCOR acc step: c_%d*(phi * Z^%d * phi) = %e\n", 1, 1, delta);
for(int i = 2; i < 8; i++) {
if(delta*delta < mnl->accprec) break;
delta = coefs[i-1]*(square_norm(up0, VOLUME/2, 1) + square_norm(dn0, VOLUME/2, 1));
mnl->energy1 += delta;
if(g_debug_level > 2 && g_proc_id == 0)
printf("# NDRATCOR acc step: c_%d*(phi * Z^%d * phi) = %e\n", i, i, delta);
i++; //incrementing i
if(delta*delta < mnl->accprec) break;
apply_Z_ndpsi(up1, dn1, up0, dn0, id, hf, &(mnl->solver_params));
delta = coefs[i-1]*(scalar_prod_r(up0, up1, VOLUME/2, 1) + scalar_prod_r(dn0, dn1, VOLUME/2, 1));
mnl->energy1 += delta;
if(g_debug_level > 2 && g_proc_id == 0)
printf("# NDRATCOR acc step: c_%d*(phi * Z^%d * phi) = %e\n", i, i, delta);
tup = up0; tdn = dn0;
up0 = up1; dn0 = dn1;
up1 = tup; dn1 = tdn;
}
etime = gettime();
if(g_proc_id == 0) {
if(g_debug_level > 1) {
printf("# Time for %s monomial acc step: %e s\n", mnl->name, etime-atime);
}
if(g_debug_level > 3) { // shoud be 3
printf("called ndratcor_acc for id %d dH = %1.10e\n", id, mnl->energy1 - mnl->energy0);
}
}
return(mnl->energy1 - mnl->energy0);
}
void reweighting_factor(const int N, const int nstore) {
int n = VOLUME;
monomial * mnl;
FILE * ofs;
hamiltonian_field_t hf;
hf.gaugefield = g_gauge_field;
hf.momenta = NULL;
hf.derivative = NULL;
hf.update_gauge_copy = g_update_gauge_copy;
double * data = (double*)calloc(no_monomials*N, sizeof(double));
double * trlog = (double*)calloc(no_monomials, sizeof(double));
// we compute the trlog part first, because they are independent of
// stochastic noise. This is only needed for even/odd monomials
for(int j = 0; j < no_monomials; j++) {
mnl = &monomial_list[j];
if(mnl->even_odd_flag) {
init_sw_fields();
double c_sw = mnl->c_sw;
if(c_sw < 0.) c_sw = 0.;
sw_term( (const su3**) hf.gaugefield, mnl->kappa, c_sw);
if(mnl->type != NDDETRATIO) {
trlog[j] = -sw_trace(0, mnl->mu);
}
else {
trlog[j] = -sw_trace_nd(0, mnl->mubar, mnl->epsbar);
}
sw_term( (const su3**) hf.gaugefield, mnl->kappa2, c_sw);
if(mnl->type != NDDETRATIO) {
trlog[j] -= -sw_trace(0, mnl->mu2);
}
else {
trlog[j] -= -sw_trace_nd(0, mnl->mubar2, mnl->epsbar2);
}
}
else {
trlog[j] = 0.;
}
if(g_proc_id == 0 && g_debug_level > 0) {
printf("# monomial[%d] %s, trlog = %e\n", j, mnl->name, trlog[j]);
}
}
for(int i = 0; i < N; i++) {
if(g_proc_id == 0 && g_debug_level > 0) {
printf("# computing reweighting factors for sample %d\n", i);
}
for(int j = 0; j < no_monomials; j++) {
mnl = &monomial_list[j];
if(mnl->type != GAUGE) {
if(mnl->even_odd_flag) {
random_spinor_field_eo(mnl->pf, mnl->rngrepro, RN_GAUSS);
mnl->energy0 = square_norm(mnl->pf, n/2, 1);
}
else {
random_spinor_field_lexic(mnl->pf, mnl->rngrepro, RN_GAUSS);
mnl->energy0 = square_norm(mnl->pf, n, 1);
}
if(g_proc_id == 0 && g_debug_level > 1) {
printf("# monomial[%d] %s, energy0 = %e\n", j, mnl->name, mnl->energy0);
}
if(mnl->type == NDDETRATIO) {
if(mnl->even_odd_flag) {
random_spinor_field_eo(mnl->pf2, mnl->rngrepro, RN_GAUSS);
mnl->energy0 += square_norm(mnl->pf, n/2, 1);
}
else {
random_spinor_field_lexic(mnl->pf, mnl->rngrepro, RN_GAUSS);
mnl->energy0 += square_norm(mnl->pf2, n, 1);
}
}
}
}
for(int j = 0; j < no_monomials; j++) {
mnl = &monomial_list[j];
if(mnl->type != GAUGE) {
double y = mnl->accfunction(j, &hf);
data[i*no_monomials + j] = y;
if(g_proc_id == 0 && g_debug_level > 0) {
printf("# monomial[%d] %s, stochastic part: w_%d=%e exp(w_%d)=%e\n", j, mnl->name, j, j, y, exp(y));
}
}
}
}
if(g_proc_id == 0) {
char filename[50];
sprintf(filename, "reweighting_factor.data.%.5d", nstore);
if((ofs = fopen(filename, "w")) == NULL) {
fatal_error("Could not open file for data output", "reweighting_factor");
}
else {
for(int j = 0; j < no_monomials; j++) {
mnl = &monomial_list[j];
for(int i = 0; i < N; i++) {
fprintf(ofs, "%.2d %.5d %e %e %e %e %.10e\n", j, i, mnl->kappa, mnl->kappa2, mnl->mu, mnl->mu2, data[i*no_monomials + j] + trlog[j]);
}
}
fclose(ofs);
}
}
free(data);
free(trlog);
}
void cloverdet_derivative(const int id, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[id];
double atime, etime;
int N = VOLUME/2;
atime = gettime();
for(int i = 0; i < VOLUME; i++) {
for(int mu = 0; mu < 4; mu++) {
_su3_zero(swm[i][mu]);
_su3_zero(swp[i][mu]);
}
}
mnl->forcefactor = 1.;
/*********************************************************************
*
*
* This a term is det(\hat Q^2(\mu))
*
*********************************************************************/
g_mu = mnl->mu;
g_mu3 = mnl->rho;
boundary(mnl->kappa);
// we compute the clover term (1 + T_ee(oo)) for all sites x
sw_term( (const su3**) hf->gaugefield, mnl->kappa, mnl->c_sw);
// we invert it for the even sites only
if(!mnl->even_odd_flag) {
N = VOLUME;
}
else {
sw_invert(EE, mnl->mu);
}
if(mnl->solver != CG && g_proc_id == 0) {
fprintf(stderr, "Bicgstab currently not implemented, using CG instead! (cloverdet_monomial.c)\n");
}
// Invert Q_{+} Q_{-}
// X_o -> w_fields[1]
chrono_guess(mnl->w_fields[1], mnl->pf, mnl->csg_field, mnl->csg_index_array,
mnl->csg_N, mnl->csg_n, VOLUME/2, mnl->Qsq);
mnl->iter1 += solve_degenerate(mnl->w_fields[1], mnl->pf, mnl->solver_params, mnl->maxiter, mnl->forceprec,
g_relative_precision_flag, VOLUME/2, mnl->Qsq, mnl->solver);
chrono_add_solution(mnl->w_fields[1], mnl->csg_field, mnl->csg_index_array,
mnl->csg_N, &mnl->csg_n, N);
// Y_o -> w_fields[0]
mnl->Qm(mnl->w_fields[0], mnl->w_fields[1]);
if(mnl->even_odd_flag) {
// apply Hopping Matrix M_{eo}
// to get the even sites of X_e
H_eo_sw_inv_psi(mnl->w_fields[2], mnl->w_fields[1], EO, -1, mnl->mu);
// \delta Q sandwitched by Y_o^\dagger and X_e
deriv_Sb(OE, mnl->w_fields[0], mnl->w_fields[2], hf, mnl->forcefactor);
// to get the even sites of Y_e
H_eo_sw_inv_psi(mnl->w_fields[3], mnl->w_fields[0], EO, +1, mnl->mu);
// \delta Q sandwitched by Y_e^\dagger and X_o
// uses the gauge field in hf and changes the derivative fields in hf
deriv_Sb(EO, mnl->w_fields[3], mnl->w_fields[1], hf, mnl->forcefactor);
// here comes the clover term...
// computes the insertion matrices for S_eff
// result is written to swp and swm
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
sw_spinor_eo(EE, mnl->w_fields[2], mnl->w_fields[3], mnl->forcefactor);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
sw_spinor_eo(OO, mnl->w_fields[0], mnl->w_fields[1], mnl->forcefactor);
// compute the contribution for the det-part
// we again compute only the insertion matrices for S_det
// the result is added to swp and swm
// even sites only!
sw_deriv(EE, mnl->mu);
}
else {
/* \delta Q sandwitched by Y^\dagger and X */
deriv_Sb_D_psi(mnl->w_fields[0], mnl->w_fields[1], hf, mnl->forcefactor);
sw_spinor(mnl->w_fields[0], mnl->w_fields[1], mnl->forcefactor);
}
// now we compute
// finally, using the insertion matrices stored in swm and swp
// we compute the terms F^{det} and F^{sw} at once
// uses the gaugefields in hf and changes the derivative field in hf
sw_all(hf, mnl->kappa, mnl->c_sw);
g_mu = g_mu1;
g_mu3 = 0.;
boundary(g_kappa);
etime = gettime();
if(g_debug_level > 1 && g_proc_id == 0) {
printf("# Time for %s monomial derivative: %e s\n", mnl->name, etime-atime);
}
return;
}
void rat_derivative(const int id, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[id];
solver_pm_t solver_pm;
double atime, etime, dummy;
atime = gettime();
g_mu = 0;
g_mu3 = 0.;
boundary(mnl->kappa);
if(mnl->type == CLOVERRAT) {
g_c_sw = mnl->c_sw;
for(int i = 0; i < VOLUME; i++) {
for(int mu = 0; mu < 4; mu++) {
_su3_zero(swm[i][mu]);
_su3_zero(swp[i][mu]);
}
}
// we compute the clover term (1 + T_ee(oo)) for all sites x
sw_term( (const su3**) hf->gaugefield, mnl->kappa, mnl->c_sw);
// we invert it for the even sites only
sw_invert(EE, 0.);
}
//mnl->forcefactor = mnl->EVMaxInv*mnl->EVMaxInv;
mnl->forcefactor = 1.;
solver_pm.max_iter = mnl->maxiter;
solver_pm.squared_solver_prec = mnl->forceprec;
solver_pm.no_shifts = mnl->rat.np;
solver_pm.shifts = mnl->rat.mu;
solver_pm.rel_prec = g_relative_precision_flag;
solver_pm.type = CGMMS;
solver_pm.M_psi = mnl->Qsq;
solver_pm.sdim = VOLUME/2;
// this generates all X_j,o (odd sites only) -> g_chi_up_spinor_field
mnl->iter1 += cg_mms_tm(g_chi_up_spinor_field, mnl->pf,
&solver_pm, &dummy);
for(int j = (mnl->rat.np-1); j > -1; j--) {
mnl->Qp(mnl->w_fields[0], g_chi_up_spinor_field[j]);
if(mnl->type == CLOVERRAT) {
// apply Hopping Matrix M_{eo}
// to get the even sites of X_e
H_eo_sw_inv_psi(mnl->w_fields[2], g_chi_up_spinor_field[j], EO, -1, mnl->mu);
// \delta Q sandwitched by Y_o^\dagger and X_e
deriv_Sb(OE, mnl->w_fields[0], mnl->w_fields[2], hf,
mnl->rat.rmu[j]*mnl->forcefactor);
// to get the even sites of Y_e
H_eo_sw_inv_psi(mnl->w_fields[3], mnl->w_fields[0], EO, +1, mnl->mu);
// \delta Q sandwitched by Y_e^\dagger and X_o
// uses the gauge field in hf and changes the derivative fields in hf
deriv_Sb(EO, mnl->w_fields[3], g_chi_up_spinor_field[j], hf,
mnl->rat.rmu[j]*mnl->forcefactor);
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
sw_spinor(EE, mnl->w_fields[2], mnl->w_fields[3], mnl->rat.rmu[j]*mnl->forcefactor);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
sw_spinor(OO, mnl->w_fields[0], g_chi_up_spinor_field[j], mnl->rat.rmu[j]*mnl->forcefactor);
}
else {
/* apply Hopping Matrix M_{eo} */
/* to get the even sites of X_e */
H_eo_tm_inv_psi(mnl->w_fields[2], g_chi_up_spinor_field[j], EO, -1.);
/* \delta Q sandwitched by Y_o^\dagger and X_e */
deriv_Sb(OE, mnl->w_fields[0], mnl->w_fields[2], hf,
mnl->rat.rmu[j]*mnl->forcefactor);
/* to get the even sites of Y_e */
H_eo_tm_inv_psi(mnl->w_fields[3], mnl->w_fields[0], EO, +1);
/* \delta Q sandwitched by Y_e^\dagger and X_o */
deriv_Sb(EO, mnl->w_fields[3], g_chi_up_spinor_field[j], hf,
mnl->rat.rmu[j]*mnl->forcefactor);
}
}
if(mnl->type == CLOVERRAT && mnl->trlog) {
sw_deriv(EE, 0.);
}
if(mnl->type == CLOVERRAT) {
sw_all(hf, mnl->kappa, mnl->c_sw);
}
etime = gettime();
if(g_debug_level > 1 && g_proc_id == 0) {
printf("# Time for %s monomial derivative: %e s\n", mnl->name, etime-atime);
}
return;
}
void rat_heatbath(const int id, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[id];
solver_pm_t solver_pm;
double atime, etime, dummy;
atime = gettime();
// only for non-twisted operators
g_mu = 0.;
g_mu3 = 0.;
boundary(mnl->kappa);
mnl->iter1 = 0;
g_mu3 = 0.;
if(mnl->type == CLOVERRAT) {
g_c_sw = mnl->c_sw;
init_sw_fields();
sw_term((const su3**)hf->gaugefield, mnl->kappa, mnl->c_sw);
sw_invert(EE, 0.);
}
// we measure before the trajectory!
if((mnl->rec_ev != 0) && (hf->traj_counter%mnl->rec_ev == 0)) {
//if(mnl->type != CLOVERRAT) phmc_compute_ev(hf->traj_counter-1, id, &Qtm_pm_ndbipsi);
//else phmc_compute_ev(hf->traj_counter-1, id, &Qsw_pm_ndbipsi);
}
// the Gaussian distributed random fields
mnl->energy0 = 0.;
random_spinor_field_eo(mnl->pf, mnl->rngrepro, RN_GAUSS);
mnl->energy0 = square_norm(mnl->pf, VOLUME/2, 1);
// set solver parameters
solver_pm.max_iter = mnl->maxiter;
solver_pm.squared_solver_prec = mnl->accprec;
solver_pm.no_shifts = mnl->rat.np;
solver_pm.shifts = mnl->rat.nu;
solver_pm.type = CGMMS;
solver_pm.M_psi = mnl->Qsq;
solver_pm.sdim = VOLUME/2;
solver_pm.rel_prec = g_relative_precision_flag;
mnl->iter0 = cg_mms_tm(g_chi_up_spinor_field, mnl->pf,
&solver_pm, &dummy);
assign(mnl->w_fields[2], mnl->pf, VOLUME/2);
// apply C to the random field to generate pseudo-fermion fields
for(int j = (mnl->rat.np-1); j > -1; j--) {
// Q - i nu_j (not twisted mass term, so Qp=Qm=Q
mnl->Qp(g_chi_up_spinor_field[mnl->rat.np], g_chi_up_spinor_field[j]);
assign_add_mul(g_chi_up_spinor_field[mnl->rat.np], g_chi_up_spinor_field[j], -I*mnl->rat.nu[j], VOLUME/2);
assign_add_mul(mnl->pf, g_chi_up_spinor_field[mnl->rat.np], I*mnl->rat.rnu[j], VOLUME/2);
}
etime = gettime();
if(g_proc_id == 0) {
if(g_debug_level > 1) {
printf("# Time for %s monomial heatbath: %e s\n", mnl->name, etime-atime);
}
if(g_debug_level > 3) {
printf("called rat_heatbath for id %d energy %f\n", id, mnl->energy0);
}
}
return;
}
void cloverdetratio_derivative_orig(const int no, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[no];
/* This factor 2* a missing factor 2 in trace_lambda */
mnl->forcefactor = 1.;
/*********************************************************************
*
* this is being run in case there is even/odd preconditioning
*
* This term is det((Q^2 + \mu_1^2)/(Q^2 + \mu_2^2))
* mu1 and mu2 are set according to the monomial
*
*********************************************************************/
/* First term coming from the second field */
/* Multiply with W_+ */
g_mu = mnl->mu;
g_mu3 = mnl->rho2; //rho2
boundary(mnl->kappa);
// we compute the clover term (1 + T_ee(oo)) for all sites x
sw_term(hf->gaugefield, mnl->kappa, mnl->c_sw);
// we invert it for the even sites only including mu
sw_invert(EE, mnl->mu);
if(mnl->solver != CG) {
fprintf(stderr, "Bicgstab currently not implemented, using CG instead! (detratio_monomial.c)\n");
}
mnl->Qp(g_spinor_field[DUM_DERI+2], mnl->pf);
g_mu3 = mnl->rho; // rho1
/* Invert Q_{+} Q_{-} */
/* X_W -> DUM_DERI+1 */
chrono_guess(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], mnl->csg_field,
mnl->csg_index_array, mnl->csg_N, mnl->csg_n, VOLUME/2, mnl->Qsq);
mnl->iter1 += cg_her(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], mnl->maxiter,
mnl->forceprec, g_relative_precision_flag, VOLUME/2, mnl->Qsq);
chrono_add_solution(g_spinor_field[DUM_DERI+1], mnl->csg_field, mnl->csg_index_array,
mnl->csg_N, &mnl->csg_n, VOLUME/2);
/* Y_W -> DUM_DERI */
mnl->Qm(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1]);
/* apply Hopping Matrix M_{eo} */
/* to get the even sites of X */
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+1], EE, -mnl->mu);
/* \delta Q sandwitched by Y_o^\dagger and X_e */
deriv_Sb(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+2], hf, mnl->forcefactor);
/* to get the even sites of Y */
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI], EE, mnl->mu);
/* \delta Q sandwitched by Y_e^\dagger and X_o */
deriv_Sb(EO, g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+1], hf, mnl->forcefactor);
// here comes the clover term...
// computes the insertion matrices for S_eff
// result is written to swp and swm
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
gamma5(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+2], VOLUME/2);
sw_spinor(EO, g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+3]);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
sw_spinor(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1]);
g_mu3 = mnl->rho2; // rho2
/* Second term coming from the second field */
/* The sign is opposite!! */
mul_r(g_spinor_field[DUM_DERI], -1., mnl->pf, VOLUME/2);
/* apply Hopping Matrix M_{eo} */
/* to get the even sites of X */
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+1], EE, -mnl->mu);
/* \delta Q sandwitched by Y_o^\dagger and X_e */
deriv_Sb(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+2], hf, mnl->forcefactor);
/* to get the even sites of Y */
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI], EE, mnl->mu);
/* \delta Q sandwitched by Y_e^\dagger and X_o */
deriv_Sb(EO, g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+1], hf, mnl->forcefactor);
// here comes the clover term...
// computes the insertion matrices for S_eff
// result is written to swp and swm
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
gamma5(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+2], VOLUME/2);
sw_spinor(EO, g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+3]);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
sw_spinor(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1]);
sw_all(hf, mnl->kappa*mnl->forcefactor, mnl->c_sw);
g_mu = g_mu1;
g_mu3 = 0.;
boundary(g_kappa);
return;
}
void cloverndpoly_derivative(const int id, hamiltonian_field_t * const hf) {
int j, k;
monomial * mnl = &monomial_list[id];
double atime, etime;
atime = gettime();
for(int i = 0; i < VOLUME; i++) {
for(int mu = 0; mu < 4; mu++) {
_su3_zero(swm[i][mu]);
_su3_zero(swp[i][mu]);
}
}
ndpoly_set_global_parameter(mnl, 0);
// we compute the clover term (1 + T_ee(oo)) for all sites x
sw_term( (const su3**) hf->gaugefield, mnl->kappa, mnl->c_sw);
// we invert it for the even sites only
sw_invert_nd(mnl->mubar*mnl->mubar - mnl->epsbar*mnl->epsbar);
mnl->forcefactor = -phmc_Cpol*mnl->EVMaxInv;
/* Recall: The GAMMA_5 left of delta M_eo is done in deriv_Sb !!! */
/* Here comes the definitions for the chi_j fields */
/* from j=0 (chi_0 = phi) ..... to j = n-1 */
/* in g_chi_up_spinor_field[0] (g_chi_dn_spinor_field[0] we expect */
/* to find the phi field, the pseudo fermion field */
/* i.e. must be equal to mnl->pf (mnl->pf2) */
assign(g_chi_up_spinor_field[0], mnl->pf, VOLUME/2);
assign(g_chi_dn_spinor_field[0], mnl->pf2, VOLUME/2);
for(k = 1; k < (mnl->MDPolyDegree-1); k++) {
Qsw_tau1_sub_const_ndpsi(g_chi_up_spinor_field[k], g_chi_dn_spinor_field[k],
g_chi_up_spinor_field[k-1], g_chi_dn_spinor_field[k-1],
mnl->MDPolyRoots[k-1]);
}
/* Here comes the remaining fields chi_k ; k=n,...,2n-1 */
/*They are evaluated step-by-step overwriting the same field (mnl->MDPolyDegree)*/
assign(g_chi_up_spinor_field[mnl->MDPolyDegree], g_chi_up_spinor_field[mnl->MDPolyDegree-2], VOLUME/2);
assign(g_chi_dn_spinor_field[mnl->MDPolyDegree], g_chi_dn_spinor_field[mnl->MDPolyDegree-2], VOLUME/2);
for(j = (mnl->MDPolyDegree-1); j > 0; j--) {
assign(g_chi_up_spinor_field[mnl->MDPolyDegree-1], g_chi_up_spinor_field[mnl->MDPolyDegree], VOLUME/2);
assign(g_chi_dn_spinor_field[mnl->MDPolyDegree-1], g_chi_dn_spinor_field[mnl->MDPolyDegree], VOLUME/2);
Qsw_tau1_sub_const_ndpsi(g_chi_up_spinor_field[mnl->MDPolyDegree], g_chi_dn_spinor_field[mnl->MDPolyDegree],
g_chi_up_spinor_field[mnl->MDPolyDegree-1], g_chi_dn_spinor_field[mnl->MDPolyDegree-1],
mnl->MDPolyRoots[2*mnl->MDPolyDegree-3-j]);
/* Get the even parts of the (j-1)th chi_spinors */
H_eo_sw_ndpsi(mnl->w_fields[0], mnl->w_fields[1],
g_chi_up_spinor_field[j-1], g_chi_dn_spinor_field[j-1]);
/* \delta M_eo sandwitched by chi[j-1]_e^\dagger and chi[2N-j]_o */
deriv_Sb(EO, mnl->w_fields[0], g_chi_up_spinor_field[mnl->MDPolyDegree], hf, mnl->forcefactor);/* UP */
deriv_Sb(EO, mnl->w_fields[1], g_chi_dn_spinor_field[mnl->MDPolyDegree], hf, mnl->forcefactor);/* DN */
/* Get the even parts of the (2N-j)-th chi_spinors */
H_eo_sw_ndpsi(mnl->w_fields[2], mnl->w_fields[3],
g_chi_up_spinor_field[mnl->MDPolyDegree], g_chi_dn_spinor_field[mnl->MDPolyDegree]);
/* \delta M_oe sandwitched by chi[j-1]_o^\dagger and chi[2N-j]_e */
deriv_Sb(OE, g_chi_up_spinor_field[j-1], mnl->w_fields[2], hf, mnl->forcefactor);
deriv_Sb(OE, g_chi_dn_spinor_field[j-1], mnl->w_fields[3], hf, mnl->forcefactor);
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
sw_spinor(EE, mnl->w_fields[3], mnl->w_fields[0], mnl->forcefactor);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
sw_spinor(OO, g_chi_up_spinor_field[j-1], g_chi_dn_spinor_field[mnl->MDPolyDegree], mnl->forcefactor);
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
sw_spinor(EE, mnl->w_fields[2], mnl->w_fields[1], mnl->forcefactor);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
sw_spinor(OO, g_chi_dn_spinor_field[j-1], g_chi_up_spinor_field[mnl->MDPolyDegree], mnl->forcefactor);
}
// trlog part does not depend on the normalisation of the polynomial
sw_deriv_nd(EE);
sw_all(hf, mnl->kappa, mnl->c_sw);
etime = gettime();
if(g_debug_level > 1 && g_proc_id == 0) {
printf("# Time for %s monomial derivative: %e s\n", mnl->name, etime-atime);
}
return;
}
void cloverdet_derivative(const int id, hamiltonian_field_t * const hf) {
monomial * mnl = &monomial_list[id];
/* This factor 2 a missing factor 2 in trace_lambda */
(*mnl).forcefactor = 2.;
/*********************************************************************
*
* even/odd version
*
* This a term is det(\hat Q^2(\mu))
*
*********************************************************************/
g_mu = mnl->mu;
g_mu3 = mnl->rho;
boundary(mnl->kappa);
// we compute the clover term (1 + T_ee(oo)) for all sites x
sw_term(hf->gaugefield, mnl->kappa, mnl->c_sw);
// we invert it for the even sites only
sw_invert(EE, mnl->mu);
if(mnl->solver != CG && g_proc_id == 0) {
fprintf(stderr, "Bicgstab currently not implemented, using CG instead! (cloverdet_monomial.c)\n");
}
// Invert Q_{+} Q_{-}
// X_o -> DUM_DERI+1
chrono_guess(g_spinor_field[DUM_DERI+1], mnl->pf, mnl->csg_field, mnl->csg_index_array,
mnl->csg_N, mnl->csg_n, VOLUME/2, mnl->Qsq);
mnl->iter1 += cg_her(g_spinor_field[DUM_DERI+1], mnl->pf, mnl->maxiter, mnl->forceprec,
g_relative_precision_flag, VOLUME/2, mnl->Qsq);
chrono_add_solution(g_spinor_field[DUM_DERI+1], mnl->csg_field, mnl->csg_index_array,
mnl->csg_N, &mnl->csg_n, VOLUME/2);
// Y_o -> DUM_DERI
mnl->Qm(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1]);
// apply Hopping Matrix M_{eo}
// to get the even sites of X_e
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+1], EE, -mnl->mu);
// \delta Q sandwitched by Y_o^\dagger and X_e
deriv_Sb(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+2], hf);
// to get the even sites of Y_e
H_eo_sw_inv_psi(g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI], EE, mnl->mu);
// \delta Q sandwitched by Y_e^\dagger and X_o
// uses the gauge field in hf and changes the derivative fields in hf
deriv_Sb(EO, g_spinor_field[DUM_DERI+3], g_spinor_field[DUM_DERI+1], hf);
// here comes the clover term...
// computes the insertion matrices for S_eff
// result is written to swp and swm
// even/even sites sandwiched by gamma_5 Y_e and gamma_5 X_e
gamma5(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+2], VOLUME/2);
sw_spinor(EO, g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+3]);
// odd/odd sites sandwiched by gamma_5 Y_o and gamma_5 X_o
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
sw_spinor(OE, g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1]);
// compute the contribution for the det-part
// we again compute only the insertion matrices for S_det
// the result is added to swp and swm
// even sites only!
sw_deriv(EE, mnl->mu);
// now we compute
// finally, using the insertion matrices stored in swm and swp
// we compute the terms F^{det} and F^{sw} at once
// uses the gaugefields in hf and changes the derivative field in hf
sw_all(hf, mnl->kappa, mnl->c_sw);
g_mu = g_mu1;
g_mu3 = 0.;
boundary(g_kappa);
return;
}
