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avc_exact2.c
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avc_exact2.c
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/****************************************************
* avc_exact2.c
*
* Sat Mar 26 08:31:08 CET 2011
*
* DONE:
* TODO:
****************************************************/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <time.h>
#ifdef MPI
# include <mpi.h>
#endif
#ifdef OPENMP
# include <omp.h>
#endif
#include "ifftw.h"
#include <getopt.h>
#define MAIN_PROGRAM
#include "cvc_complex.h"
#include "cvc_linalg.h"
#include "global.h"
#include "cvc_geometry.h"
#include "cvc_utils.h"
#include "mpi_init.h"
#include "io.h"
#include "propagator_io.h"
#include "contractions_io.h"
#include "Q_phi.h"
#include "read_input_parser.h"
void usage() {
fprintf(stdout, "Code to perform AV current correlator conn. contractions\n");
fprintf(stdout, "Usage: [options]\n");
fprintf(stdout, "Options: -v verbose\n");
fprintf(stdout, " -g apply a random gauge transformation\n");
fprintf(stdout, " -f input filename [default cvc.input]\n");
EXIT(0);
}
int main(int argc, char **argv) {
int c, i, j, mu, nu, ir, is, ia, ib, imunu;
int filename_set = 0;
int dims[4] = {0,0,0,0};
int l_LX_at, l_LXstart_at;
int source_location, have_source_flag = 0;
int x0, x1, x2, x3, ix;
int sx0, sx1, sx2, sx3;
int isimag[4];
int gperm[5][4], gperm2[4][4];
int check_position_space_WI=0, check_momentum_space_WI=0;
int num_threads = 1, nthreads=-1, threadid=-1;
int exitstatus;
int write_ascii=0;
int mms = 0, mass_id = -1;
int outfile_prefix_set = 0;
int up_dn_onefile = 0;
double gperm_sign[5][4], gperm2_sign[4][4];
double *conn = (double*)NULL;
double contact_term[8];
double phase[4];
double *work=NULL;
int verbose = 0;
int do_gt = 0;
char filename[100], contype[400], outfile_prefix[400];
double ratime, retime;
double plaq;
double spinor1[24], spinor2[24], U_[18];
double *gauge_trafo=(double*)NULL;
double *phi=NULL, *chi=NULL;
complex w, w1;
double Usourcebuff[72], *Usource[4];
FILE *ofs;
int use_shifted_spinor = 0, shift_vector[4];
fftw_complex *in=(fftw_complex*)NULL;
#ifdef MPI
fftwnd_mpi_plan plan_p;
int *status;
#else
fftwnd_plan plan_p;
#endif
#ifdef MPI
MPI_Init(&argc, &argv);
#endif
while ((c = getopt(argc, argv, "cuwWah?vgf:t:m:o:")) != -1) {
switch (c) {
case 'v':
verbose = 1;
break;
case 'g':
do_gt = 1;
break;
case 'f':
strcpy(filename, optarg);
filename_set=1;
break;
case 'w':
check_position_space_WI = 1;
fprintf(stdout, "\n# [avc_exact2] will check Ward identity in position space\n");
break;
case 'W':
check_momentum_space_WI = 1;
fprintf(stdout, "\n# [avc_exact2] will check Ward identity in momentum space\n");
break;
case 't':
num_threads = atoi(optarg);
fprintf(stdout, "\n# [avc_exact2] will use %d threads in spacetime loops\n", num_threads);
break;
case 'a':
write_ascii = 1;
fprintf(stdout, "\n# [avc_exact2] will write data in ASCII format too\n");
break;
case 'm':
mms = 1;
mass_id = atoi(optarg);
fprintf(stdout, "\n# [avc_exact2] will read propagators in MMS format with mass id %d\n", mass_id);
break;
case 'o':
strcpy(outfile_prefix, optarg);
fprintf(stdout, "\n# [avc_exact2] will use prefix %s for output filenames\n", outfile_prefix);
outfile_prefix_set = 1;
break;
case 'u':
up_dn_onefile = 1;
fprintf(stdout, "# [avc_exact2] will read up / dn from one file at pos 0 / 1\n");
break;
case 'c':
use_shifted_spinor = 1;
fprintf(stdout, "# [avc_exact2] will use shifted free spinor fields\n");
break;
case 'h':
case '?':
default:
usage();
break;
}
}
g_the_time = time(NULL);
fprintf(stdout, "\n# [avc_exact2] using global time stamp %s", ctime(&g_the_time));
/*********************************
* set number of openmp threads
*********************************/
#ifdef OPENMP
omp_set_num_threads(num_threads);
#endif
/* set the default values */
if(filename_set==0) strcpy(filename, "cvc.input");
fprintf(stdout, "# Reading input from file %s\n", filename);
read_input_parser(filename);
/* some checks on the input data */
if((T_global == 0) || (LX==0) || (LY==0) || (LZ==0)) {
if(g_proc_id==0) fprintf(stdout, "T and L's must be set\n");
usage();
}
if(g_kappa == 0.) {
if(g_proc_id==0) fprintf(stdout, "kappa should be > 0.n");
usage();
}
/* initialize MPI parameters */
mpi_init(argc, argv);
#ifdef MPI
if((status = (int*)calloc(g_nproc, sizeof(int))) == (int*)NULL) {
EXIT(7);
}
#endif
/*******************************
* initialize fftw
*******************************/
#ifdef OPENMP
exitstatus = fftw_threads_init();
if(exitstatus != 0) {
fprintf(stderr, "\n[avc_exact2] Error from fftw_init_threads; status was %d\n", exitstatus);
EXIT(120);
}
#endif
dims[0]=T_global; dims[1]=LX; dims[2]=LY; dims[3]=LZ;
#ifdef MPI
plan_p = fftwnd_mpi_create_plan(g_cart_grid, 4, dims, FFTW_BACKWARD, FFTW_MEASURE);
fftwnd_mpi_local_sizes(plan_p, &T, &Tstart, &l_LX_at, &l_LXstart_at, &FFTW_LOC_VOLUME);
#else
plan_p = fftwnd_create_plan(4, dims, FFTW_BACKWARD, FFTW_MEASURE | FFTW_IN_PLACE);
T = T_global;
Tstart = 0;
l_LX_at = LX;
l_LXstart_at = 0;
FFTW_LOC_VOLUME = T*LX*LY*LZ;
#endif
fprintf(stdout, "# [%2d] fftw parameters:\n"\
"# [%2d] T = %3d\n"\
"# [%2d] Tstart = %3d\n"\
"# [%2d] l_LX_at = %3d\n"\
"# [%2d] l_LXstart_at = %3d\n"\
"# [%2d] FFTW_LOC_VOLUME = %3d\n",
g_cart_id, g_cart_id, T, g_cart_id, Tstart, g_cart_id, l_LX_at,
g_cart_id, l_LXstart_at, g_cart_id, FFTW_LOC_VOLUME);
#ifdef MPI
if(T==0) {
fprintf(stderr, "[%2d] local T is zero; exit\n", g_cart_id);
EXIT(2);
}
#endif
if(init_geometry() != 0) {
fprintf(stderr, "ERROR from init_geometry\n");
EXIT(1);
}
geometry();
alloc_gauge_field(&g_gauge_field, VOLUMEPLUSRAND);
if(!(strcmp(gaugefilename_prefix,"identity")==0)) {
/* read the gauge field */
sprintf(filename, "%s.%.4d", gaugefilename_prefix, Nconf);
if(g_cart_id==0) fprintf(stdout, "reading gauge field from file %s\n", filename);
read_lime_gauge_field_doubleprec(filename);
} else {
/* initialize unit matrices */
if(g_cart_id==0) fprintf(stdout, "\n# [avc_exact] initializing unit matrices\n");
for(ix=0;ix<VOLUME;ix++) {
_cm_eq_id( g_gauge_field + _GGI(ix, 0) );
_cm_eq_id( g_gauge_field + _GGI(ix, 1) );
_cm_eq_id( g_gauge_field + _GGI(ix, 2) );
_cm_eq_id( g_gauge_field + _GGI(ix, 3) );
}
}
#ifdef MPI
xchange_gauge();
#endif
/* measure the plaquette */
plaquette(&plaq);
if(g_cart_id==0) fprintf(stdout, "measured plaquette value: %25.16e\n", plaq);
/* allocate memory for the spinor fields */
no_fields = 24;
if(mms || use_shifted_spinor) no_fields++;
g_spinor_field = (double**)calloc(no_fields, sizeof(double*));
for(i=0; i<no_fields; i++) alloc_spinor_field(&g_spinor_field[i], VOLUMEPLUSRAND);
if(mms | use_shifted_spinor) {
work = g_spinor_field[no_fields-1];
}
/* allocate memory for the contractions */
conn = (double*)calloc(2 * 16 * VOLUME, sizeof(double));
if( conn==(double*)NULL ) {
fprintf(stderr, "could not allocate memory for contr. fields\n");
EXIT(3);
}
#ifdef OPENMP
#pragma omp parallel for
#endif
for(ix=0; ix<32*VOLUME; ix++) conn[ix] = 0.;
/***********************************************************
* prepare Fourier transformation arrays
***********************************************************/
in = (fftw_complex*)malloc(FFTW_LOC_VOLUME*sizeof(fftw_complex));
if(in==(fftw_complex*)NULL) {
EXIT(4);
}
// TEST
fprintf(stdout, "# [avc_exact2] co_phase_up\n");
for(i=0;i<4;i++) fprintf(stdout, "\t%2d%16.7e%16.7e\n", i, co_phase_up[i].re, co_phase_up[i].im);
/***********************************************************
* determine source coordinates, find out, if source_location is in this process
***********************************************************/
have_source_flag = (int)(g_source_location/(LX*LY*LZ)>=Tstart && g_source_location/(LX*LY*LZ)<(Tstart+T));
if(have_source_flag==1) fprintf(stdout, "process %2d has source location\n", g_cart_id);
sx0 = g_source_location/(LX*LY*LZ)-Tstart;
sx1 = (g_source_location%(LX*LY*LZ)) / (LY*LZ);
sx2 = (g_source_location%(LY*LZ)) / LZ;
sx3 = (g_source_location%LZ);
Usource[0] = Usourcebuff;
Usource[1] = Usourcebuff+18;
Usource[2] = Usourcebuff+36;
Usource[3] = Usourcebuff+54;
if(have_source_flag==1) {
fprintf(stdout, "local source coordinates: (%3d,%3d,%3d,%3d)\n", sx0, sx1, sx2, sx3);
source_location = g_ipt[sx0][sx1][sx2][sx3];
_cm_eq_cm_ti_co(Usource[0], &g_gauge_field[_GGI(source_location,0)], &co_phase_up[0]);
_cm_eq_cm_ti_co(Usource[1], &g_gauge_field[_GGI(source_location,1)], &co_phase_up[1]);
_cm_eq_cm_ti_co(Usource[2], &g_gauge_field[_GGI(source_location,2)], &co_phase_up[2]);
_cm_eq_cm_ti_co(Usource[3], &g_gauge_field[_GGI(source_location,3)], &co_phase_up[3]);
}
#ifdef MPI
MPI_Gather(&have_source_flag, 1, MPI_INT, status, 1, MPI_INT, 0, g_cart_grid);
if(g_cart_id==0) {
for(mu=0; mu<g_nproc; mu++) fprintf(stdout, "status[%1d]=%d\n", mu,status[mu]);
}
if(g_cart_id==0) {
for(have_source_flag=0; status[have_source_flag]!=1; have_source_flag++);
fprintf(stdout, "have_source_flag= %d\n", have_source_flag);
}
MPI_Bcast(&have_source_flag, 1, MPI_INT, 0, g_cart_grid);
MPI_Bcast(Usourcebuff, 72, MPI_DOUBLE, have_source_flag, g_cart_grid);
fprintf(stdout, "[%2d] have_source_flag = %d\n", g_cart_id, have_source_flag);
#else
have_source_flag = 0;
#endif
#ifdef MPI
ratime = MPI_Wtime();
#else
ratime = (double)clock() / CLOCKS_PER_SEC;
#endif
/***********************************************************
* initialize the Gamma matrices
***********************************************************/
// gamma_5:
gperm[4][0] = gamma_permutation[5][ 0] / 6;
gperm[4][1] = gamma_permutation[5][ 6] / 6;
gperm[4][2] = gamma_permutation[5][12] / 6;
gperm[4][3] = gamma_permutation[5][18] / 6;
gperm_sign[4][0] = gamma_sign[5][ 0];
gperm_sign[4][1] = gamma_sign[5][ 6];
gperm_sign[4][2] = gamma_sign[5][12];
gperm_sign[4][3] = gamma_sign[5][18];
// gamma_nu gamma_5
for(nu=0;nu<4;nu++) {
// permutation
gperm[nu][0] = gamma_permutation[6+nu][ 0] / 6;
gperm[nu][1] = gamma_permutation[6+nu][ 6] / 6;
gperm[nu][2] = gamma_permutation[6+nu][12] / 6;
gperm[nu][3] = gamma_permutation[6+nu][18] / 6;
// is imaginary ?
isimag[nu] = gamma_permutation[6+nu][0] % 2;
// (overall) sign
gperm_sign[nu][0] = gamma_sign[6+nu][ 0];
gperm_sign[nu][1] = gamma_sign[6+nu][ 6];
gperm_sign[nu][2] = gamma_sign[6+nu][12];
gperm_sign[nu][3] = gamma_sign[6+nu][18];
// write to stdout
fprintf(stdout, "# gamma_%d5 = (%f %d, %f %d, %f %d, %f %d)\n", nu,
gperm_sign[nu][0], gperm[nu][0], gperm_sign[nu][1], gperm[nu][1],
gperm_sign[nu][2], gperm[nu][2], gperm_sign[nu][3], gperm[nu][3]);
}
// gamma_nu
for(nu=0;nu<4;nu++) {
// permutation
gperm2[nu][0] = gamma_permutation[nu][ 0] / 6;
gperm2[nu][1] = gamma_permutation[nu][ 6] / 6;
gperm2[nu][2] = gamma_permutation[nu][12] / 6;
gperm2[nu][3] = gamma_permutation[nu][18] / 6;
// (overall) sign
gperm2_sign[nu][0] = gamma_sign[nu][ 0];
gperm2_sign[nu][1] = gamma_sign[nu][ 6];
gperm2_sign[nu][2] = gamma_sign[nu][12];
gperm2_sign[nu][3] = gamma_sign[nu][18];
// write to stdout
fprintf(stdout, "# gamma_%d = (%f %d, %f %d, %f %d, %f %d)\n", nu,
gperm2_sign[nu][0], gperm2[nu][0], gperm2_sign[nu][1], gperm2[nu][1],
gperm2_sign[nu][2], gperm2[nu][2], gperm2_sign[nu][3], gperm2[nu][3]);
}
/**********************************************************
* read 12 up-type propagators with source source_location
* - can get contributions 1 and 3 from that
**********************************************************/
for(ia=0; ia<12; ia++) {
if(!mms) {
if(!up_dn_onefile) {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[ia], filename, 0);
} else {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[ia], filename, 0);
}
xchange_field(g_spinor_field[ia]);
} else {
sprintf(filename, "%s.%.4d.04.%.2d.cgmms.%.2d.inverted", filename_prefix, Nconf, ia, mass_id);
exitstatus = read_lime_spinor(work, filename, 0);
xchange_field(work);
Qf5(g_spinor_field[ia], work, -g_mu);
xchange_field(g_spinor_field[ia]);
}
if(exitstatus!=0) EXIT_WITH_MSG(110, "Error, could not read up-type propagators I\n");
}
/**********************************************
* loop on the Lorentz index nu at source
**********************************************/
for(nu=0; nu<4; nu++)
//for(nu=0; nu<4; nu++)
{
memset(shift_vector, 0, 4*sizeof(int));
shift_vector[nu] = 1;
// TEST
fprintf(stdout, "# [] shift_vector(%d) = (%d, %d, %d, %d)\n", nu,
shift_vector[0], shift_vector[1], shift_vector[2], shift_vector[3]);
/* read 12 dn-type propagators */
for(ia=0; ia<12; ia++) {
if(!mms) {
if(!up_dn_onefile) {
if(!use_shifted_spinor) {
get_filename(filename, nu, ia, -1);
exitstatus = read_lime_spinor(g_spinor_field[12+ia], filename, 0);
} else {
get_filename(filename, 4, ia, -1);
exitstatus = read_lime_spinor(work, filename, 0);
shift_spinor_field(g_spinor_field[12+ia], work, shift_vector);
}
} else {
if(!use_shifted_spinor) {
get_filename(filename, nu, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[12+ia], filename, 1);
} else {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(work, filename, 1);
shift_spinor_field(g_spinor_field[12+ia], work, shift_vector);
}
}
xchange_field(g_spinor_field[12+ia]);
} else {
sprintf(filename, "%s.%.4d.%.2d.%.2d.cgmms.%.2d.inverted", filename_prefix, Nconf, nu, ia, mass_id);
exitstatus = read_lime_spinor(work, filename, 0);
xchange_field(work);
Qf5(g_spinor_field[12+ia], work, g_mu);
xchange_field(g_spinor_field[12+ia]);
}
if(exitstatus!=0) EXIT_WITH_MSG(111, "Error, could not read dn-type propagators I\n");
}
for(ir=0; ir<4; ir++) {
for(ia=0; ia<3; ia++) {
phi = g_spinor_field[3*ir+ia];
for(ib=0; ib<3; ib++) {
chi = g_spinor_field[12+3*gperm[nu][ir]+ib];
//fprintf(stdout, "\n# [nu5] spin index pair (%d, %d); col index pair (%d, %d)\n", ir, gperm[nu][ir], ia ,ib);
// 1) gamma_nu gamma_5 x U
for(mu=0; mu<4; mu++) {
//for(mu=0; mu<1; mu++) {
imunu = 4*mu+nu;
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
/*
threadid = omp_get_thread_num();
nthreads = omp_get_num_threads();
fprintf(stdout, "[thread%d] number of threads = %d\n", threadid, nthreads);
*/
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_ti_fv(spinor1, U_, phi+_GSI(g_iup[ix][mu]));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_mi_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(ix), spinor1);
_co_eq_co_ti_co(&w1, &w, (complex*)(Usource[nu]+2*(3*ia+ib)));
if(!isimag[nu]) {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[nu][ir] * w1.im;
} else {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.im;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[nu][ir] * w1.re;
}
//if(ix==0) fprintf(stdout, "[1_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[1_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[nu][ir] * w1.re, gperm_sign[nu][ir] * w1.im);
} // of ix
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_dag_ti_fv(spinor1, U_, phi+_GSI(ix));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_pl_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(g_iup[ix][mu]), spinor1);
_co_eq_co_ti_co(&w1, &w, (complex*)(Usource[nu]+2*(3*ia+ib)));
if(!isimag[nu]) {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[nu][ir] * w1.im;
} else {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.im;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[nu][ir] * w1.re;
}
//if(ix==0) fprintf(stdout, "[3_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[3_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[nu][ir] * w1.re, gperm_sign[nu][ir] * w1.im);
} // of ix
} // of mu
} /* of ib */
for(ib=0; ib<3; ib++) {
chi = g_spinor_field[12+3*gperm[4][ir]+ib];
//fprintf(stdout, "\n# [5] spin index pair (%d, %d); col index pair (%d, %d)\n", ir, gperm[4][ir], ia ,ib);
// -gamma_5 x U
for(mu=0; mu<4; mu++) {
//for(mu=0; mu<1; mu++) {
imunu = 4*mu+nu;
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_ti_fv(spinor1, U_, phi+_GSI(g_iup[ix][mu]));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_mi_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(ix), spinor1);
_co_eq_co_ti_co(&w1, &w, (complex*)(Usource[nu]+2*(3*ia+ib)));
conn[_GWI(imunu,ix,VOLUME) ] -= gperm_sign[4][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[4][ir] * w1.im;
//if(ix==0) fprintf(stdout, "[1_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[1_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[4][ir] * w1.re, gperm_sign[4][ir] * w1.im);
} // of ix
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_dag_ti_fv(spinor1, U_, phi+_GSI(ix));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_pl_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(g_iup[ix][mu]), spinor1);
_co_eq_co_ti_co(&w1, &w, (complex*)(Usource[nu]+2*(3*ia+ib)));
conn[_GWI(imunu,ix,VOLUME) ] -= gperm_sign[4][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[4][ir] * w1.im;
//if(ix==0) fprintf(stdout, "[3_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[3_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[4][ir] * w1.re, gperm_sign[4][ir] * w1.im);
} // of ix
} // of mu
} // of ib
// contribution to contact term
_fv_eq_cm_ti_fv(spinor1, Usource[nu], phi+_GSI(g_iup[source_location][nu]));
_fv_eq_gamma_ti_fv(spinor2, nu, spinor1);
_fv_mi_eq_fv(spinor2, spinor1);
contact_term[2*nu ] += -0.5 * spinor2[2*(3*ir+ia) ];
contact_term[2*nu+1] += -0.5 * spinor2[2*(3*ir+ia)+1];
} // of ia
} // of ir
} // of nu
fprintf(stdout, "\n# [avc_exact2] contact term after 1st part:\n");
fprintf(stdout, "\t%d\t%25.16e%25.16e\n", 0, contact_term[0], contact_term[1]);
fprintf(stdout, "\t%d\t%25.16e%25.16e\n", 1, contact_term[2], contact_term[3]);
fprintf(stdout, "\t%d\t%25.16e%25.16e\n", 2, contact_term[4], contact_term[5]);
fprintf(stdout, "\t%d\t%25.16e%25.16e\n", 3, contact_term[6], contact_term[7]);
/**********************************************************
* read 12 dn-type propagators with source source_location
* - can get contributions 2 and 4 from that
**********************************************************/
for(ia=0; ia<12; ia++) {
if(!mms) {
if(!up_dn_onefile) {
get_filename(filename, 4, ia, -1);
exitstatus = read_lime_spinor(g_spinor_field[12+ia], filename, 0);
} else {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[12+ia], filename, 1);
}
xchange_field(g_spinor_field[12+ia]);
} else {
sprintf(filename, "%s.%.4d.04.%.2d.cgmms.%.2d.inverted", filename_prefix, Nconf, ia, mass_id);
exitstatus = read_lime_spinor(work, filename, 0);
xchange_field(work);
Qf5(g_spinor_field[12+ia], work, g_mu);
xchange_field(g_spinor_field[12+ia]);
}
if(exitstatus!=0) EXIT_WITH_MSG(112, "Error, could not read dn-type propagators II\n");
}
/**********************************************
* loop on the Lorentz index nu at source
**********************************************/
for(nu=0; nu<4; nu++) {
//for(nu=0; nu<4; nu++) {
memset(shift_vector, 0, 4*sizeof(int));
shift_vector[nu] = +1;
// TEST
fprintf(stdout, "# [] shift_vector(%d) = (%d, %d, %d, %d)\n", nu,
shift_vector[0], shift_vector[1], shift_vector[2], shift_vector[3]);
/* read 12 up-type propagators */
for(ia=0; ia<12; ia++) {
if(!mms) {
if(!up_dn_onefile) {
if(!use_shifted_spinor) {
get_filename(filename, nu, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[ia], filename, 0);
} else {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(work, filename, 0);
shift_spinor_field(g_spinor_field[ia], work, shift_vector);
}
} else {
if(!use_shifted_spinor) {
get_filename(filename, nu, ia, 1);
exitstatus = read_lime_spinor(g_spinor_field[ia], filename, 0);
} else {
get_filename(filename, 4, ia, 1);
exitstatus = read_lime_spinor(work, filename, 0);
shift_spinor_field(g_spinor_field[ia], work, shift_vector);
}
}
xchange_field(g_spinor_field[ia]);
} else {
sprintf(filename, "%s.%.4d.%.2d.%.2d.cgmms.%.2d.inverted", filename_prefix, Nconf, nu, ia, mass_id);
exitstatus = read_lime_spinor(work, filename, 0);
xchange_field(work);
Qf5(g_spinor_field[ia], work, -g_mu);
xchange_field(g_spinor_field[ia]);
}
}
if(exitstatus!=0) EXIT_WITH_MSG(113, "Error, could not read up-type propagators II\n");
for(ir=0; ir<4; ir++) {
for(ia=0; ia<3; ia++) {
phi = g_spinor_field[3*ir+ia];
for(ib=0; ib<3; ib++) {
chi = g_spinor_field[12+3*gperm[nu][ir]+ib];
//fprintf(stdout, "\n# [nu5] spin index pair (%d, %d); col index pair (%d, %d)\n", ir, gperm[nu][ir], ia ,ib);
// 1) gamma_nu gamma_5 x U^dagger
for(mu=0; mu<4; mu++) {
//for(mu=0; mu<1; mu++) {
imunu = 4*mu+nu;
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_ti_fv(spinor1, U_, phi+_GSI(g_iup[ix][mu]));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_mi_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(ix), spinor1);
_co_eq_co_ti_co_conj(&w1, &w, (complex*)(Usource[nu]+2*(3*ib+ia)));
if(!isimag[nu]) {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[nu][ir] * w1.im;
} else {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.im;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[nu][ir] * w1.re;
}
//if(ix==0) fprintf(stdout, "[2_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[2_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[nu][ir] * w1.re, gperm_sign[nu][ir] * w1.im);
} // of ix
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_dag_ti_fv(spinor1, U_, phi+_GSI(ix));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_pl_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(g_iup[ix][mu]), spinor1);
_co_eq_co_ti_co_conj(&w1, &w, (complex*)(Usource[nu]+2*(3*ib+ia)));
if(!isimag[nu]) {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[nu][ir] * w1.im;
} else {
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[nu][ir] * w1.im;
conn[_GWI(imunu,ix,VOLUME)+1] -= gperm_sign[nu][ir] * w1.re;
}
//if(ix==0) fprintf(stdout, "[4_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[4_nu5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[nu][ir] * w1.re, gperm_sign[nu][ir] * w1.im);
} // of ix
} // of mu
} /* of ib */
for(ib=0; ib<3; ib++) {
chi = g_spinor_field[12+3*gperm[4][ir]+ib];
//fprintf(stdout, "\n# [5] spin index pair (%d, %d); col index pair (%d, %d)\n", ir, gperm[4][ir], ia ,ib);
// -gamma_5 x U
for(mu=0; mu<4; mu++) {
//for(mu=0; mu<1; mu++) {
imunu = 4*mu+nu;
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_ti_fv(spinor1, U_, phi+_GSI(g_iup[ix][mu]));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_mi_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(ix), spinor1);
_co_eq_co_ti_co_conj(&w1, &w, (complex*)(Usource[nu]+2*(3*ib+ia)));
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[4][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[4][ir] * w1.im;
//if(ix==0) fprintf(stdout, "[2_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[2_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[4][ir] * w1.re, gperm_sign[4][ir] * w1.im);
} // of ix
#ifdef OPENMP
#pragma omp parallel for private(ix, spinor1, spinor2, U_, w, w1) shared(imunu, ia, ib, nu, mu)
#endif
for(ix=0; ix<VOLUME; ix++) {
_cm_eq_cm_ti_co(U_, &g_gauge_field[_GGI(ix,mu)], &co_phase_up[mu]);
_fv_eq_cm_dag_ti_fv(spinor1, U_, phi+_GSI(ix));
_fv_eq_gamma_ti_fv(spinor2, mu, spinor1);
_fv_pl_eq_fv(spinor2, spinor1);
_fv_eq_gamma_ti_fv(spinor1, 5, spinor2);
_co_eq_fv_dag_ti_fv(&w, chi+_GSI(g_iup[ix][mu]), spinor1);
_co_eq_co_ti_co_conj(&w1, &w, (complex*)(Usource[nu]+2*(3*ib+ia)));
conn[_GWI(imunu,ix,VOLUME) ] += gperm_sign[4][ir] * w1.re;
conn[_GWI(imunu,ix,VOLUME)+1] += gperm_sign[4][ir] * w1.im;
//if(ix==0) fprintf(stdout, "[4_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib, w.re, w.im);
//if(ix==0) fprintf(stdout, "[4_5] %3d%3d%3d\t%e\t%e\n", ir ,ia, ib,
// gperm_sign[4][ir] * w1.re, gperm_sign[4][ir] * w1.im);
} // of ix
} // of mu
} // of ib
// contribution to contact term
_fv_eq_cm_dag_ti_fv(spinor1, Usource[nu], phi+_GSI(source_location));
_fv_eq_gamma_ti_fv(spinor2, nu, spinor1);
_fv_pl_eq_fv(spinor2, spinor1);
contact_term[2*nu ] += 0.5 * spinor2[2*(3*ir+ia) ];
contact_term[2*nu+1] += 0.5 * spinor2[2*(3*ir+ia)+1];
} // of ia
} // of ir
} // of nu
// print contact term
if(g_cart_id==0) {
fprintf(stdout, "\n# [avc_exact2] contact term\n");
for(i=0;i<4;i++) {
fprintf(stdout, "\t%d%25.16e%25.16e\n", i, contact_term[2*i], contact_term[2*i+1]);
}
}
/* normalisation of contractions */
#ifdef OPENMP
#pragma omp parallel for
#endif
for(ix=0; ix<32*VOLUME; ix++) conn[ix] *= -0.25;
#ifdef MPI
retime = MPI_Wtime();
#else
retime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(g_cart_id==0) fprintf(stdout, "contractions in %e seconds\n", retime-ratime);
/* save results */
#ifdef MPI
ratime = MPI_Wtime();
#else
ratime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(outfile_prefix_set) {
sprintf(filename, "%s/avc2_v_x.%.4d", outfile_prefix, Nconf);
} else {
sprintf(filename, "avc2_v_x.%.4d", Nconf);
}
sprintf(contype, "cvc - cvc in position space, all 16 components");
write_lime_contraction(conn, filename, 64, 16, contype, Nconf, 0);
if(write_ascii) {
if(outfile_prefix_set) {
sprintf(filename, "%s/avc2_v_x.%.4d.ascii", outfile_prefix, Nconf);
} else {
sprintf(filename, "avc2_v_x.%.4d.ascii", Nconf);
}
write_contraction(conn, NULL, filename, 16, 2, 0);
}
#ifdef MPI
retime = MPI_Wtime();
#else
retime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(g_cart_id==0) fprintf(stdout, "saved position space results in %e seconds\n", retime-ratime);
#ifndef MPI
/* check the Ward identity in position space */
if(check_position_space_WI) {
sprintf(filename, "WI_X.%.4d", Nconf);
ofs = fopen(filename,"w");
fprintf(stdout, "\n# [avc_exact2] checking Ward identity in position space ...\n");
for(x0=0; x0<T; x0++) {
for(x1=0; x1<LX; x1++) {
for(x2=0; x2<LY; x2++) {
for(x3=0; x3<LZ; x3++) {
fprintf(ofs, "# t=%2d x=%2d y=%2d z=%2d\n", x0, x1, x2, x3);
ix=g_ipt[x0][x1][x2][x3];
for(nu=0; nu<4; nu++) {
w.re = conn[_GWI(4*0+nu,ix,VOLUME)] + conn[_GWI(4*1+nu,ix,VOLUME)]
+ conn[_GWI(4*2+nu,ix,VOLUME)] + conn[_GWI(4*3+nu,ix,VOLUME)]
- conn[_GWI(4*0+nu,g_idn[ix][0],VOLUME)] - conn[_GWI(4*1+nu,g_idn[ix][1],VOLUME)]
- conn[_GWI(4*2+nu,g_idn[ix][2],VOLUME)] - conn[_GWI(4*3+nu,g_idn[ix][3],VOLUME)];
w.im = conn[_GWI(4*0+nu,ix,VOLUME)+1] + conn[_GWI(4*1+nu,ix,VOLUME)+1]
+ conn[_GWI(4*2+nu,ix,VOLUME)+1] + conn[_GWI(4*3+nu,ix,VOLUME)+1]
- conn[_GWI(4*0+nu,g_idn[ix][0],VOLUME)+1] - conn[_GWI(4*1+nu,g_idn[ix][1],VOLUME)+1]
- conn[_GWI(4*2+nu,g_idn[ix][2],VOLUME)+1] - conn[_GWI(4*3+nu,g_idn[ix][3],VOLUME)+1];
fprintf(ofs, "\t%3d%25.16e%25.16e\n", nu, w.re, w.im);
}
}}}}
fclose(ofs);
}
#endif
/*********************************************
* Fourier transformation
*********************************************/
#ifdef MPI
ratime = MPI_Wtime();
#else
ratime = (double)clock() / CLOCKS_PER_SEC;
#endif
for(mu=0; mu<16; mu++) {
memcpy((void*)in, (void*)&conn[_GWI(mu,0,VOLUME)], 2*VOLUME*sizeof(double));
#ifdef MPI
fftwnd_mpi(plan_p, 1, in, NULL, FFTW_NORMAL_ORDER);
#else
# ifdef OPENMP
fftwnd_threads_one(num_threads, plan_p, in, NULL);
# else
fftwnd_one(plan_p, in, NULL);
# endif
#endif
memcpy((void*)&conn[_GWI(mu,0,VOLUME)], (void*)in, 2*VOLUME*sizeof(double));
}
#ifdef MPI
if(g_cart_id==0) fprintf(stdout, "\n# [avc_exact2] broadcasing contact term ...\n");
MPI_Bcast(contact_term, 8, MPI_DOUBLE, have_source_flag, g_cart_grid);
fprintf(stdout, "[%2d] contact term = "\
"(%12.5e+%12.5eI,%12.5e+%12.5eI,%12.5e+%12.5eI,%12.5e+%12.5eI)\n",
g_cart_id, contact_term[0], contact_term[1], contact_term[2], contact_term[3],
contact_term[4], contact_term[5], contact_term[6], contact_term[7]);
#endif
/*****************************************
* add phase factors
*****************************************/
for(mu=0; mu<4; mu++) {
phi = conn + _GWI(5*mu,0,VOLUME);
for(x0=0; x0<T; x0++) {
phase[0] = 2. * (double)(Tstart+x0) * M_PI / (double)T_global;
for(x1=0; x1<LX; x1++) {
phase[1] = 2. * (double)(x1) * M_PI / (double)LX;
for(x2=0; x2<LY; x2++) {
phase[2] = 2. * (double)(x2) * M_PI / (double)LY;
for(x3=0; x3<LZ; x3++) {
phase[3] = 2. * (double)(x3) * M_PI / (double)LZ;
ix = g_ipt[x0][x1][x2][x3];
w.re = cos( phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3 );
w.im = -sin( phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3 );
_co_eq_co_ti_co(&w1,(complex*)( phi+2*ix ), &w);
phi[2*ix ] = w1.re - contact_term[2*mu ];
phi[2*ix+1] = w1.im - contact_term[2*mu+1];
}}}}
} /* of mu */
for(mu=0; mu<3; mu++) {
for(nu=mu+1; nu<4; nu++) {
phi = conn + _GWI(4*mu+nu,0,VOLUME);
chi = conn + _GWI(4*nu+mu,0,VOLUME);
for(x0=0; x0<T; x0++) {
phase[0] = (double)(Tstart+x0) * M_PI / (double)T_global;
for(x1=0; x1<LX; x1++) {
phase[1] = (double)(x1) * M_PI / (double)LX;
for(x2=0; x2<LY; x2++) {
phase[2] = (double)(x2) * M_PI / (double)LY;
for(x3=0; x3<LZ; x3++) {
phase[3] = (double)(x3) * M_PI / (double)LZ;
ix = g_ipt[x0][x1][x2][x3];
w.re = cos( phase[mu] - phase[nu] - 2.*(phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3) );
w.im = sin( phase[mu] - phase[nu] - 2.*(phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3) );
_co_eq_co_ti_co(&w1,(complex*)( phi+2*ix ), &w);
phi[2*ix ] = w1.re;
phi[2*ix+1] = w1.im;
w.re = cos( phase[nu] - phase[mu] - 2.*(phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3) );
w.im = sin( phase[nu] - phase[mu] - 2.*(phase[0]*(sx0+Tstart)+phase[1]*sx1+phase[2]*sx2+phase[3]*sx3) );
_co_eq_co_ti_co(&w1,(complex*)( chi+2*ix ), &w);
chi[2*ix ] = w1.re;
chi[2*ix+1] = w1.im;
}}}}
}} /* of mu and nu */
#ifdef MPI
retime = MPI_Wtime();
#else
retime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(g_cart_id==0) fprintf(stdout, "Fourier transform in %e seconds\n", retime-ratime);
/********************************
* save momentum space results
********************************/
#ifdef MPI
ratime = MPI_Wtime();
#else
ratime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(outfile_prefix_set) {
sprintf(filename, "%s/avc2_v_p.%.4d", outfile_prefix, Nconf);
} else {
sprintf(filename, "avc2_v_p.%.4d", Nconf);
}
sprintf(contype, "cvc - cvc in momentum space, all 16 components");
write_lime_contraction(conn, filename, 64, 16, contype, Nconf, 0);
if(write_ascii) {
if(outfile_prefix_set) {
sprintf(filename, "%s/avc2_v_p.%.4d.ascii", outfile_prefix, Nconf);
} else {
sprintf(filename, "avc2_v_p.%.4d.ascii", Nconf);
}
write_contraction(conn, (int*)NULL, filename, 16, 2, 0);
}
#ifdef MPI
retime = MPI_Wtime();
#else
retime = (double)clock() / CLOCKS_PER_SEC;
#endif
if(g_cart_id==0) fprintf(stdout, "saved momentum space results in %e seconds\n", retime-ratime);
if(check_momentum_space_WI) {
sprintf(filename, "WI_P.%.4d", Nconf);
ofs = fopen(filename,"w");
fprintf(stdout, "\n# [avc_exact2] checking Ward identity in momentum space ...\n");
for(x0=0; x0<T; x0++) {
phase[0] = 2. * sin( (double)(Tstart+x0) * M_PI / (double)T_global );
for(x1=0; x1<LX; x1++) {
phase[1] = 2. * sin( (double)(x1) * M_PI / (double)LX );
for(x2=0; x2<LY; x2++) {
phase[2] = 2. * sin( (double)(x2) * M_PI / (double)LY );
for(x3=0; x3<LZ; x3++) {
phase[3] = 2. * sin( (double)(x3) * M_PI / (double)LZ );