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invert_eo.c
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/***********************************************************************
* Copyright (C) 2002,2003,2004,2005,2006,2007,2008 Carsten Urbach
*
* This file is part of tmLQCD.
*
* tmLQCD is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* tmLQCD is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with tmLQCD. If not, see <http://www.gnu.org/licenses/>.
***********************************************************************/
/****************************************************************
*
* invert_eo makes an inversion with EO preconditioned
* tm Operator
*
* Even and Odd are the numbers of spinor_field that contain
* the even and the odd sites of the source. The result is stored
* int Even_new and Odd_new.
*
* invert_eo returns the number of iterations needed or -1 if the
* solver did not converge.
*
* Author: Carsten Urbach
*
****************************************************************/
#ifdef HAVE_CONFIG_H
# include<config.h>
#endif
#include<stdlib.h>
#include"global.h"
#include"linalg_eo.h"
#include"tm_operators.h"
#include"Hopping_Matrix.h"
#include"D_psi.h"
#include"linsolve.h"
#include"gamma.h"
#include"solver/solver.h"
#include"read_input.h"
#include"xchange.h"
#include"solver/poly_precon.h"
#include"solver/dfl_projector.h"
#include"invert_eo.h"
#include "solver/dirac_operator_eigenvectors.h"
#ifdef HAVE_GPU
#include"GPU/cudadefs.h"
#include"temporalgauge.h"
#include"measure_gauge_action.h"
extern int mixed_solve (spinor * const P, spinor * const Q, const int max_iter,
double eps, const int rel_prec,const int N);
extern int mixed_solve_eo (spinor * const P, spinor * const Q, const int max_iter,
double eps, const int rel_prec, const int N);
#ifdef TEMPORALGAUGE
extern su3* g_trafo;
#endif
#endif
int invert_eo(spinor * const Even_new, spinor * const Odd_new,
spinor * const Even, spinor * const Odd,
const double precision, const int max_iter,
const int solver_flag, const int rel_prec,
const int sub_evs_flag, const int even_odd_flag) {
int iter = 0;
/* here comes the inversion using even/odd preconditioning */
if(even_odd_flag) {
if(g_proc_id == 0) {printf("# Using even/odd preconditioning!\n"); fflush(stdout);}
#ifdef HAVE_GPU
#ifdef TEMPORALGAUGE
/* initialize temporal gauge here */
int retval;
double dret;
double plaquette = 0.0;
if(usegpu_flag){
/* need VOLUME here (not N=VOLUME/2)*/
if((retval=init_temporalgauge_trafo(VOLUME, g_gauge_field)) !=0){
if(g_proc_id == 0) printf("Error while gauge fixing to temporal gauge. Aborting...\n");
exit(200);
}
plaquette = measure_gauge_action(g_gauge_field);
if(g_proc_id == 0) printf("Plaquette before gauge fixing: %.16e\n", plaquette/6./VOLUME);
/* do trafo */
apply_gtrafo(g_gauge_field, g_trafo);
plaquette = measure_gauge_action(g_gauge_field);
if(g_proc_id == 0) printf("Plaquette after gauge fixing: %.16e\n", plaquette/6./VOLUME);
/* do trafo to odd part of source */
dret = square_norm(Odd, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_gtrafo_spinor_odd(Odd, g_trafo);
dret = square_norm(Odd, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
/* do trafo to even part of source */
dret = square_norm(Even, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_gtrafo_spinor_even(Even, g_trafo);
dret = square_norm(Even, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
}
#endif
#endif /* HAVE_GPU*/
assign_mul_one_pm_imu_inv(Even_new, Even, +1., VOLUME/2);
Hopping_Matrix(OE, g_spinor_field[DUM_DERI], Even_new);
/* The sign is plus, since in Hopping_Matrix */
/* the minus is missing */
assign_mul_add_r(g_spinor_field[DUM_DERI], +1., Odd, VOLUME/2);
/* Do the inversion with the preconditioned */
/* matrix to get the odd sites */
if(solver_flag == BICGSTAB) {
if(g_proc_id == 0) {printf("# Using BiCGstab!\n"); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = bicgstab_complex(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Mtm_plus_sym_psi);
}
else if(solver_flag == GMRES) {
if(g_proc_id == 0) {printf("# Using GMRES! m = %d\n", gmres_m_parameter); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = gmres(Odd_new, g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME/2, 1, &Mtm_plus_sym_psi);
}
else if(solver_flag == GCR) {
if(g_proc_id == 0) {printf("# Using GCR! m = %d\n", gmres_m_parameter); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = gcr(Odd_new, g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME/2, 0, &Mtm_plus_sym_psi);
}
else if(solver_flag == GMRESDR) {
if(g_proc_id == 0) {printf("# Using GMRES-DR! m = %d, NrEv = %d\n",
gmres_m_parameter, gmresdr_nr_ev); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = gmres_dr(Odd_new, g_spinor_field[DUM_DERI], gmres_m_parameter, gmresdr_nr_ev, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME/2, &Mtm_plus_sym_psi);
}
else if(solver_flag == FGMRES) {
if(g_proc_id == 0) {printf("# Using FGMRES!\n"); fflush(stdout);}
iter = fgmres(Odd_new, g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME/2, 0, &Qtm_pm_psi);
gamma5(Odd_new, Odd_new, VOLUME/2);
Qtm_minus_psi(Odd_new, Odd_new);
}
else if(solver_flag == BICGSTABELL) {
if(g_proc_id == 0) {printf("# Using BiCGstab2!\n"); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = bicgstabell(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, 3, VOLUME/2, &Mtm_plus_sym_psi);
}
else if(solver_flag == PCG) {
/* Here we invert the hermitean operator squared */
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
if(g_proc_id == 0) {printf("# Using PCG!\n"); fflush(stdout);}
iter = pcg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
}
else if(solver_flag == MIXEDCG) {
/* Here we invert the hermitean operator squared */
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
if(g_proc_id == 0) {printf("# Using Mixed Precision CG!\n"); fflush(stdout);}
iter = mixed_cg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec,
VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
}
else if(solver_flag == CG) {
/* Here we invert the hermitean operator squared */
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
if(g_proc_id == 0) {
printf("# Using CG!\n");
printf("# mu = %f, kappa = %f\n", g_mu/2./g_kappa, g_kappa);
fflush(stdout);
}
#ifdef HAVE_GPU
if(usegpu_flag){
if(g_proc_id == 0) printf("Using GPU for inversion\n");
iter = mixed_solve_eo(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2);
}
else{
iter = cg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
}
#else
iter = cg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec,
VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
#endif /*HAVE_GPU*/
}
else if(solver_flag == MR) {
if(g_proc_id == 0) {printf("# Using MR!\n"); fflush(stdout);}
iter = mr(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, 1, &Mtm_plus_psi);
}
else if(solver_flag == CGS) {
if(g_proc_id == 0) {printf("# Using CGS!\n"); fflush(stdout);}
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
iter = cgs_real(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Mtm_plus_sym_psi);
}
else {
if(g_proc_id == 0) {printf("# Using CG as default solver!\n"); fflush(stdout);}
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
#ifdef HAVE_GPU
if(g_proc_id == 0) {printf("Using GPU for inversion\n");
fflush(stdout);}
iter = mixed_solve_eo(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2);
#else
iter = cg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
#endif
}
/* In case of failure, redo with CG */
if(iter == -1 && solver_flag !=CG) {
/* Here we invert the hermitean operator squared */
mul_one_pm_imu(g_spinor_field[DUM_DERI], +1.);
gamma5(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI], VOLUME/2);
if(g_proc_id == 0) {printf("# Redoing it with CG!\n"); fflush(stdout);}
iter = cg_her(Odd_new, g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME/2, &Qtm_pm_psi);
Qtm_minus_psi(Odd_new, Odd_new);
}
/* Reconstruct the even sites */
Hopping_Matrix(EO, g_spinor_field[DUM_DERI], Odd_new);
mul_one_pm_imu_inv(g_spinor_field[DUM_DERI], +1., VOLUME/2);
/* The sign is plus, since in Hopping_Matrix */
/* the minus is missing */
assign_add_mul_r(Even_new, g_spinor_field[DUM_DERI], +1., VOLUME/2);
#ifdef HAVE_GPU
/* return from temporal gauge again */
#ifdef TEMPORALGAUGE
if(usegpu_flag){
plaquette = measure_gauge_action(g_gauge_field);
if(g_proc_id == 0) printf("Plaquette before inverse gauge fixing: %.16e\n", plaquette/6./VOLUME);
/* undo trafo */
/*apply_inv_gtrafo(g_gauge_field, g_trafo);*/
/* copy back the saved original field located in g_tempgauge_field -> update necessary*/
copy_gauge_field(g_gauge_field, g_tempgauge_field);
g_update_gauge_copy = 1;
plaquette = measure_gauge_action(g_gauge_field);
if(g_proc_id == 0) printf("Plaquette after inverse gauge fixing: %.16e\n", plaquette/6./VOLUME);
/* undo trafo to source (Even, Odd) */
dret = square_norm(Even, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_inv_gtrafo_spinor_even(Even, g_trafo);
dret = square_norm(Even, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
dret = square_norm(Odd, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_inv_gtrafo_spinor_odd(Odd, g_trafo);
dret = square_norm(Odd, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
dret = square_norm(Even_new, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_inv_gtrafo_spinor_even(Even_new, g_trafo);
dret = square_norm(Even_new, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
dret = square_norm(Odd_new, VOLUME/2 , 1);
if(g_proc_id == 0) printf("square norm before gauge fixing: %.16e\n", dret);
apply_inv_gtrafo_spinor_odd(Odd_new, g_trafo);
dret = square_norm(Odd_new, VOLUME/2, 1);
if(g_proc_id == 0) printf("square norm after gauge fixing: %.16e\n", dret);
finalize_temporalgauge();
}
#endif
#endif
}
else {
/* here comes the inversion not using even/odd preconditioning */
if(g_proc_id == 0) {printf("# Not using even/odd preconditioning!\n"); fflush(stdout);}
convert_eo_to_lexic(g_spinor_field[DUM_DERI], Even, Odd);
convert_eo_to_lexic(g_spinor_field[DUM_DERI+1], Even_new, Odd_new);
if(solver_flag == BICGSTAB) {
if(g_proc_id == 0) {printf("# Using BiCGstab!\n"); fflush(stdout);}
if(use_preconditioning==1 && g_precWS!=NULL){
if(g_proc_id == 0) {printf("# Using preconditioning (which one?)!\n");}
iter = bicgstab_complex(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME, &D_psi_prec);
} else {
if(g_proc_id == 0) {printf("# Not using preconditioning (which one?)!\n");}
iter = bicgstab_complex(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME, &D_psi);
}
}
else if(solver_flag == CGS) {
if(g_proc_id == 0) {printf("# Using CGS!\n"); fflush(stdout);}
if(use_preconditioning==1 && g_precWS!=NULL){
if(g_proc_id == 0) {printf("# Using preconditioning (which one?)!\n");}
iter = cgs_real(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME, &D_psi_prec);
} else {
if(g_proc_id == 0) {printf("# Not using preconditioning (which one?)!\n");}
iter = cgs_real(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME, &D_psi);
}
}
else if(solver_flag == GMRES) {
if(g_proc_id == 0) {printf("# Using GMRES! m = %d\n", gmres_m_parameter); fflush(stdout);}
if(use_preconditioning==1 && g_precWS!=NULL){
if(g_proc_id == 0) {printf("# Using preconditioning (which one?)!\n");}
iter = gmres(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &D_psi_prec);
} else {
if(g_proc_id == 0) {printf("# not using preconditioning (which one?)!\n");}
iter = gmres(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &D_psi);
}
}
else if(solver_flag == FGMRES) {
if(g_proc_id == 0) {printf("# Using FGMRES! m = %d\n", gmres_m_parameter); fflush(stdout);}
iter = fgmres(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &D_psi);
/* gamma5(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], VOLUME); */
/* iter = fgmres(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, &Q_pm_psi); */
/* Q_minus_psi(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]); */
}
else if(solver_flag == GCR) {
if(g_proc_id == 0) {printf("# Using GCR! m = %d\n", gmres_m_parameter); fflush(stdout);}
iter = gcr(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &D_psi);
/* gamma5(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], VOLUME); */
/* iter = gcr(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], gmres_m_parameter, max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, &Q_pm_psi); */
/* Q_minus_psi(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]); */
}
else if(solver_flag == DFLGCR || solver_flag == DFLFGMRES) {
if(g_proc_id == 0) {printf("# Using deflated solver! m = %d\n", gmres_m_parameter); fflush(stdout);}
/* apply P_L to source */
project_left(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI]);
if(g_proc_id == 0) printf("# Applied P_L to source\n");
/* invert P_L D on source -> chi */
if(solver_flag == DFLGCR) {
iter = gcr(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], gmres_m_parameter,
max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &project_left_D);
}
else {
iter = fgmres(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], gmres_m_parameter,
max_iter/gmres_m_parameter, precision, rel_prec, VOLUME, 1, &project_left_D);
}
/* apply P_R to chi */
project_right(g_spinor_field[DUM_DERI+2], g_spinor_field[DUM_DERI+1]);
if(g_proc_id == 0) printf("# Applied P_R to solution\n");
/* reconstruct solution */
project(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]);
add(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI+2], VOLUME);
}
else if (solver_flag == CGMMS) {
if(g_proc_id == 0) {printf("# Using multi mass CG!\n"); fflush(stdout);}
gamma5(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], VOLUME);
iter = cg_mms_tm(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1],
max_iter, precision, rel_prec, VOLUME, &Q_pm_psi);
Q_minus_psi(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]);
}
else {
if(g_proc_id == 0) {printf("# Using CG!\n"); fflush(stdout);}
#ifdef HAVE_GPU
if(usegpu_flag){
if(g_proc_id == 0) printf("# Using GPU for inversion\n");
iter = mixed_solve(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], max_iter, precision, rel_prec, VOLUME);
}
else{
gamma5(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], VOLUME);
iter = cg_her(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], max_iter, precision,
rel_prec, VOLUME, &Q_pm_psi);
Q_minus_psi(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]);
}
#else
gamma5(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI], VOLUME);
if(use_preconditioning==1 && g_precWS!=NULL){
spinorPrecWS *ws=(spinorPrecWS*)g_precWS;
static _Complex double alpha = 0.0;
if(g_proc_id==0) {printf("# Using preconditioning (which one?)!\n");}
if(g_prec_sequence_d_dagger_d[2] != 0.0){
alpha = g_prec_sequence_d_dagger_d[2];
spinorPrecondition(g_spinor_field[DUM_DERI+1],g_spinor_field[DUM_DERI+1],ws,T,L,alpha,0,1);
}
iter = cg_her(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], max_iter, precision,
rel_prec, VOLUME, &Q_pm_psi_prec);
if(g_prec_sequence_d_dagger_d[0] != 0.0){
alpha = g_prec_sequence_d_dagger_d[0];
spinorPrecondition(g_spinor_field[DUM_DERI],g_spinor_field[DUM_DERI],ws,T,L,alpha,0,1);
}
} else {
if(g_proc_id==0) {printf("# Not using preconditioning!\n");}
iter = cg_her(g_spinor_field[DUM_DERI], g_spinor_field[DUM_DERI+1], max_iter, precision,
rel_prec, VOLUME, &Q_pm_psi);
}
Q_minus_psi(g_spinor_field[DUM_DERI+1], g_spinor_field[DUM_DERI]);
if(use_preconditioning==1 && g_precWS!=NULL){
spinorPrecWS *ws=(spinorPrecWS*)g_precWS;
static _Complex double alpha = 0.0;
if(g_prec_sequence_d_dagger_d[1] != 0.0){
alpha = g_prec_sequence_d_dagger_d[1];
spinorPrecondition(g_spinor_field[DUM_DERI+1],g_spinor_field[DUM_DERI+1],ws,T,L,alpha,0,1);
}
}
#endif
}
convert_lexic_to_eo(Even_new, Odd_new, g_spinor_field[DUM_DERI+1]);
}
return(iter);
}