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zfac.c
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zfac.c
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/* zfac.c
*
* reads half fourier transformed propagator and
* writes out:
*
* 1) the propagator with momentum p (12x12 matrix)
* S(p) = sum_xy exp(-ip(x-y)) < d(x) \bar d(y) >
*
* 2) the bare vertex function with momentum p (12x12 matrix)
* for a set of local and 1-derivative bilinear operators
* G(p) = sum_xyz exp(-ip(x-y)) < u(x) \bar u(z) J d(z') \bar d(y) >
* where
* \bar u(z) J d(z') is the bilinear operator
*
*
* Tomasz Korzec 2009
************************************************************************/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <mpi.h>
#include <qcd.h>
/*
* Convenience wrapper function for shifting propagators
*/
qcd_propagator
shiftProp(qcd_propagator p, int mu)
{
qcd_propagator q;
int i = qcd_initPropagator(&q, p.geo);
if(i != 0) {
fprintf(stderr, " Error in qcd_initPropagator()\n");
exit(1);
}
if(mu < 4)
qcd_shiftPropagatorM(&q, &p, mu);
else
qcd_shiftPropagatorP(&q, &p, mu-4);
return q;
}
/*
* Convenience wrapper function for shifting gauge links
*/
qcd_gaugeField
shiftLinks(qcd_gaugeField u, int mu)
{
qcd_gaugeField v;
int i = qcd_initGaugeField(&v, u.geo);
if(i != 0) {
fprintf(stderr, " Error in qcd_initGaugeField()\n");
exit(1);
}
if(mu < 4)
qcd_shiftGaugeM(&v, &u, mu);
else
qcd_shiftGaugeP(&v, &u, mu-4);
return v;
}
/*
* Convenience function. Given a gauge field u, will return an array
* of two gauge fields g[2], with g[0] the original, and g[1]
* corresponding to:
*
* g[1].D[v][mu] = conj(g[0].D[v-mu][mu]),
*
* in other words g[0] holds the forwards links, g[1] holds the
* backwards links.
*
*/
qcd_gaugeField *
getGaugeFieldFwdBwd(qcd_gaugeField u)
{
qcd_gaugeField *g = malloc(sizeof(qcd_gaugeField)*2);
qcd_initGaugeField(&g[0], u.geo);
qcd_initGaugeField(&g[1], u.geo);
qcd_copyGaugeField(&g[0], &u);
for(int mu=0; mu<4; mu++)
{
qcd_gaugeField v = shiftLinks(u, mu+4);
for(int l=0; l<u.geo->lV; l++)
{
qcd_copy3x3(g[1].D[l][mu], v.D[l][mu]);
qcd_dagger3x3(g[1].D[l][mu]);
}
qcd_destroyGaugeField(&v);
}
return g;
}
/*
* Convenience wrapper function for creating a field of links from a
* product of gauge fields:
*
* w[:V, :NC, :NC] = \sum_{col} u[:V, mu, :NC, col] * v[:V, nu, col, :NC]
*
* in other words, select the `mu` direction of u[] and the `nu`
* direction of v[] and take the product and put into w[].
*/
qcd_gaugeTransformation
mulLinks(qcd_gaugeField u, qcd_gaugeField v, int mu, int nu)
{
qcd_gaugeTransformation w;
qcd_initGaugeTransformation(&w, u.geo);
for(int l=0; l<u.geo->lV; l++)
qcd_MUL3x3(w.D[l], u.D[l][mu], v.D[l][nu]);
return w;
}
/*
* Convenience function for scaling one time-slice of a propagator by
* a real number. Used for implementing boundary conditions.
*/
void
scale_prop_tslice(qcd_propagator prop, int tslice, qcd_real_8 scale)
{
qcd_geometry *geo = prop.geo;
/* Global time-slice of this process' starting time-slice */
int t0 = geo->Pos[0]*geo->lL[0];
/* Global time-slice of this process' ending time-slice */
int t1 = (geo->Pos[0]+1)*geo->lL[0];
/* If tslice to be scaled belongs to this process */
if(tslice >= t0 && tslice < t1)
{
/* Local time-slice to be scaled */
int t = tslice % geo->lL[0];
for(int x=0; x<geo->lL[1]; x++)
for(int y=0; y<geo->lL[2]; y++)
for(int z=0; z<geo->lL[3]; z++)
{
int i = qcd_LEXIC(t,x,y,z,geo->lL);
for(int mu=0; mu<4; mu++)
for(int nu=0; nu<4; nu++)
for(int c0=0; c0<3; c0++)
for(int c1=0; c1<3; c1++)
{
prop.D[i][mu][nu][c0][c1].re *= scale;
prop.D[i][mu][nu][c0][c1].im *= scale;
}
}
}
/* Ensuring all processes exit this function at the same time may be
useful in debugging */
MPI_Barrier(MPI_COMM_WORLD);
return;
}
int main(int argc,char* argv[])
{
qcd_uint_2 mu,nu,rho,tau,ku,lu,c1,c2; // various loop variables
qcd_uint_4 i,j,k,lt,x,y,z,t,ip1,im1;
qcd_uint_2 id1,id2,id3,id4;
qcd_uint_2 ic1,ic2,ic3,ic4;
qcd_real_8 tmp; // general purpuse
qcd_uint_2 xx[4];
FILE *fp_vfun_v, *fp_vfun_a; // output files
FILE *fp_vfun_s, *fp_vfun_p;
FILE *fp_vfun_t, *fp_vfun_vD, *fp_vfun_aD;
FILE *fp_vfun_tD, *fp_vfun_d1;
FILE *fp_vfun_vDD;
FILE *fp_vfun_aDD;
FILE *fp_pprop;
int params_len; // needed to read inputfiles
char *params; // needed to read inputfiles
char gauge_name[qcd_MAX_STRING_LENGTH]; // name of gauge-configuration file
char vfun_s_name[qcd_MAX_STRING_LENGTH]; // output file name, local scalar density vertex function
char vfun_p_name[qcd_MAX_STRING_LENGTH]; // output file name, local pseudoscalar density vertex function
char vfun_v_name[qcd_MAX_STRING_LENGTH]; // output file name, local vector current vertex function
char vfun_a_name[qcd_MAX_STRING_LENGTH]; // output file name, local axial current vertex function
char vfun_t_name[qcd_MAX_STRING_LENGTH]; // output file name, local tensor current vertex function
char vfun_vD_name[qcd_MAX_STRING_LENGTH]; // output file name, 1 derivative vector operator vertex function
char vfun_aD_name[qcd_MAX_STRING_LENGTH]; // output file name, 1 derivative axial operator vertex function
char vfun_tD_name[qcd_MAX_STRING_LENGTH]; // output file name, 1 derivative tensor operator vertex function
char vfun_d1_name[qcd_MAX_STRING_LENGTH]; // output file name, 1 derivative d1 operator vertex function
char vfun_vDD_name[qcd_MAX_STRING_LENGTH]; // output file name, 2nd derivative vector operator vertex function
char vfun_aDD_name[qcd_MAX_STRING_LENGTH]; // output file name, 2nd derivative axial vector operator vertex function
char pprop_name[qcd_MAX_STRING_LENGTH]; // name of output file, momentum propagator
char param_name[qcd_MAX_STRING_LENGTH]; // name of parameter file
qcd_geometry geo; // geometry structure
qcd_propagator prop, lprop, rprop; // propagator
qcd_gaugeField u; // gauge field
char prop_name[qcd_MAX_STRING_LENGTH]; // name of inverted Fourier source
qcd_real_8 theta[4] = {M_PI,0.0,0.0,0.0}; // antiperiodic b.c. in time
qcd_uint_2 L[4];
qcd_uint_2 P[4];
qcd_complex_16 phase_factor, C, Cphase_factor;
qcd_complex_16 Sup[4][4][3][3]; // Fourier transformed up-quark & down-quark
qcd_complex_16 Sdown[4][4][3][3]; // Propagators
qcd_complex_16 vfun_s[4][4][3][3]; // vertex function noether current
qcd_complex_16 vfun_p[4][4][3][3]; // vertex function noether current
qcd_complex_16 vfun_v[4][4][4][3][3]; // vertex function local vector current
qcd_complex_16 vfun_a[4][4][4][3][3]; // vertex function local axial current
qcd_complex_16 vfun_t[16][4][4][3][3]; // vertex function local tensor current
qcd_complex_16 vfun_vD[16][4][4][3][3]; // vertex function 1 derivative vector operator
qcd_complex_16 vfun_aD[16][4][4][3][3]; // vertex function 1 derivative axial operator
qcd_complex_16 vfun_tD[64][4][4][3][3]; // vertex function 1 derivative tensor operator
qcd_complex_16 vfun_d1[16][4][4][3][3]; // vertex function 1 derivative d1 operator
qcd_complex_16 vfun_tmp[64][4][4][3][3]; // temp variable
qcd_complex_16 vfun_vDD[64][4][4][3][3]; // vertex function 2nd derivative vector operator
qcd_complex_16 vfun_aDD[64][4][4][3][3]; // vertex function 2nd derivative axial vector operator
qcd_complex_16 lxr, lDmur[4];
qcd_complex_16 g5sig[5][5][4][4]; // gamma_5 * [gamma_mu, gamma_nu] *1/2
qcd_int_2 pn[4]; //integer momentum
qcd_real_8 p[4]; //= n*2*pi/L
int myid,numprocs, namelen;
char processor_name[MPI_MAX_PROCESSOR_NAME];
//////////////////////////////////////////////////////////////////////////////////////
//set up MPI
MPI_Init(&argc, &argv);
MPI_Comm_size(MPI_COMM_WORLD,&numprocs); // num. of processes taking part in the calculation
MPI_Comm_rank(MPI_COMM_WORLD,&myid); // each process gets its ID
MPI_Get_processor_name(processor_name,&namelen); //
for(i=0; i<5; i++)
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
{
for(j=0; j<5; j++)
{
g5sig[i][j][mu][nu]= (qcd_complex_16){0,0};
for(ku=0; ku<4; ku++)
for(lu=0; lu<4; lu++)
{
g5sig[i][j][mu][nu] = qcd_CADD(g5sig[i][j][mu][nu],qcd_CMUL(qcd_CMUL(qcd_GAMMA[5][mu][ku],
qcd_GAMMA[i][ku][lu]),
qcd_GAMMA[j][lu][nu]));
g5sig[i][j][mu][nu] = qcd_CSUB(g5sig[i][j][mu][nu],qcd_CMUL(qcd_CMUL(qcd_GAMMA[5][mu][ku],
qcd_GAMMA[j][ku][lu]),
qcd_GAMMA[i][lu][nu]));
}
g5sig[i][j][mu][nu] = qcd_CSCALE(g5sig[i][j][mu][nu],0.5);
}
}
//////////////////// READ INPUT FILE /////////////////////////////////////////////
if(argc!=2)
{
if(myid==0) fprintf(stderr,"No input file specified\n");
exit(EXIT_FAILURE);
}
strcpy(param_name,argv[1]);
if(myid==0)
{
i=0;
printf("opening input file %s\n",param_name);
params=qcd_getParams(param_name,¶ms_len);
if(params==NULL)
{
i=1;
}
}
MPI_Bcast(&i,1,MPI_INT, 0, MPI_COMM_WORLD);
if(i==1) exit(EXIT_FAILURE);
MPI_Bcast(¶ms_len, 1, MPI_INT, 0, MPI_COMM_WORLD);
if(myid!=0) params = (char*) malloc(params_len*sizeof(char));
MPI_Bcast(params, params_len, MPI_CHAR, 0, MPI_COMM_WORLD);
sscanf(qcd_getParam("<processors_txyz>",params,params_len),"%hd %hd %hd %hd",&P[0], &P[1], &P[2], &P[3]);
sscanf(qcd_getParam("<lattice_txyz>",params,params_len),"%hd %hd %hd %hd",&L[0], &L[1], &L[2], &L[3]);
if(qcd_initGeometry(&geo,L,P, theta, myid, numprocs)) exit(EXIT_FAILURE);
if(myid==0) printf(" Local lattice: %i x %i x %i x %i\n",geo.lL[0],geo.lL[1],geo.lL[2],geo.lL[3]);
strcpy(prop_name,qcd_getParam("<propagator>",params,params_len));
if(myid==0) printf("Got propagator file name: %s\n",prop_name);
strcpy(gauge_name,qcd_getParam("<cfg_name>",params,params_len));
if(myid==0) printf("Got conf name: %s\n",gauge_name);
strcpy(vfun_s_name,qcd_getParam("<vertex_function_scalar_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_s_name);
strcpy(vfun_p_name,qcd_getParam("<vertex_function_pseudoscalar_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_p_name);
strcpy(vfun_v_name,qcd_getParam("<vertex_function_vector_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_v_name);
strcpy(vfun_a_name,qcd_getParam("<vertex_function_axial_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_a_name);
strcpy(vfun_t_name,qcd_getParam("<vertex_function_tensor_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_t_name);
strcpy(vfun_vD_name,qcd_getParam("<vertex_function_vectorD_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_vD_name);
strcpy(vfun_aD_name,qcd_getParam("<vertex_function_axialD_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_aD_name);
strcpy(vfun_tD_name,qcd_getParam("<vertex_function_tensorD_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_tD_name);
strcpy(vfun_d1_name,qcd_getParam("<vertex_function_d1_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_d1_name);
strcpy(vfun_vDD_name,qcd_getParam("<vertex_function_vectorDD_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_vDD_name);
strcpy(vfun_aDD_name,qcd_getParam("<vertex_function_axialDD_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",vfun_aDD_name);
strcpy(pprop_name,qcd_getParam("<pprop_name>",params,params_len));
if(myid==0) printf("Got output file name: %s\n",pprop_name);
sscanf(qcd_getParam("<momentum>",params,params_len),"%hd %hd %hd %hd",&pn[0], &pn[1], &pn[2], &pn[3]);
if(myid==0) printf("Got momentum: [(%i+0.5)*2*pi/%i, %i*2*pi/%i, %i*2*pi/%i, %i*2*pi/%i] \n",pn[0],L[0],pn[1],L[1],pn[2],L[2],pn[3],L[3]);
p[0]=(pn[0]*2*M_PI+theta[0])/L[0];
p[1]=(pn[1]*2*M_PI+theta[1])/L[1];
p[2]=(pn[2]*2*M_PI+theta[2])/L[2];
p[3]=(pn[3]*2*M_PI+theta[3])/L[3];
free(params);
//#####################################################################
// allocate memory
j = 0;
j += qcd_initPropagator(&prop, &geo);
j += qcd_initPropagator(&lprop, &geo);
j += qcd_initPropagator(&rprop, &geo);
j += qcd_initGaugeField(&u, &geo);
MPI_Allreduce(&j, &k, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD);
if(k>0)
{
if(myid==0) printf("not enough memory\n");
exit(EXIT_FAILURE);
}
if(myid==0) printf("memory for propagators and gauge-field allocated\n");
//##############################################################################
// load gauge-field
if(qcd_getGaugeField(gauge_name,qcd_GF_LIME,&u)) exit(EXIT_FAILURE);
if(myid==0) printf("gauge-field loaded\n");
qcd_communicateGaugePM(&u);
// load propagator
if(qcd_getPropagator(prop_name,qcd_PROP_LIME, &prop)) exit(EXIT_FAILURE);
if(myid==0) printf("propagator loaded\n");
//################################################################################
// transform propagators to basis with theta-periodic boundaries in the temporal direction
for(lt=0; lt<geo.lL[0]; lt++)
{
t = lt + geo.Pos[0] * geo.lL[0];
phase_factor = (qcd_complex_16) {cos(theta[0]*t/geo.L[0]),sin(theta[0]*t/geo.L[0])};
qcd_mulPropagatorC3d(&prop, phase_factor, lt);
}
if(myid==0) printf("propagators transformed to basis with theta-periodic boundary conditions\n");
//transform propagators to physical basis
for(i=0; i<geo.lV; i++)
for(c1=0; c1<3; c1++)
for(c2=0; c2<3; c2++)
{
//this works only with g5=diag(1 1 -1 -1)
lprop.D[i][0][0][c1][c2] = (qcd_complex_16){-prop.D[i][0][0][c2][c1].im, -prop.D[i][0][0][c2][c1].re};
rprop.D[i][0][0][c1][c2] = (qcd_complex_16){ prop.D[i][0][0][c1][c2].im, -prop.D[i][0][0][c1][c2].re};
lprop.D[i][0][1][c1][c2] = (qcd_complex_16){-prop.D[i][1][0][c2][c1].im, -prop.D[i][1][0][c2][c1].re};
rprop.D[i][0][1][c1][c2] = (qcd_complex_16){ prop.D[i][0][1][c1][c2].im, -prop.D[i][0][1][c1][c2].re};
lprop.D[i][0][2][c1][c2] = (qcd_complex_16){ prop.D[i][2][0][c2][c1].re, -prop.D[i][2][0][c2][c1].im};
rprop.D[i][0][2][c1][c2] = (qcd_complex_16){ prop.D[i][0][2][c1][c2].re, prop.D[i][0][2][c1][c2].im};
lprop.D[i][0][3][c1][c2] = (qcd_complex_16){ prop.D[i][3][0][c2][c1].re, -prop.D[i][3][0][c2][c1].im};
rprop.D[i][0][3][c1][c2] = (qcd_complex_16){ prop.D[i][0][3][c1][c2].re, prop.D[i][0][3][c1][c2].im};
lprop.D[i][1][0][c1][c2] = (qcd_complex_16){-prop.D[i][0][1][c2][c1].im, -prop.D[i][0][1][c2][c1].re};
rprop.D[i][1][0][c1][c2] = (qcd_complex_16){ prop.D[i][1][0][c1][c2].im, -prop.D[i][1][0][c1][c2].re};
lprop.D[i][1][1][c1][c2] = (qcd_complex_16){-prop.D[i][1][1][c2][c1].im, -prop.D[i][1][1][c2][c1].re};
rprop.D[i][1][1][c1][c2] = (qcd_complex_16){ prop.D[i][1][1][c1][c2].im, -prop.D[i][1][1][c1][c2].re};
lprop.D[i][1][2][c1][c2] = (qcd_complex_16){ prop.D[i][2][1][c2][c1].re, -prop.D[i][2][1][c2][c1].im};
rprop.D[i][1][2][c1][c2] = (qcd_complex_16){ prop.D[i][1][2][c1][c2].re, prop.D[i][1][2][c1][c2].im};
lprop.D[i][1][3][c1][c2] = (qcd_complex_16){ prop.D[i][3][1][c2][c1].re, -prop.D[i][3][1][c2][c1].im};
rprop.D[i][1][3][c1][c2] = (qcd_complex_16){ prop.D[i][1][3][c1][c2].re, prop.D[i][1][3][c1][c2].im};
lprop.D[i][2][0][c1][c2] = (qcd_complex_16){ prop.D[i][0][2][c2][c1].re, -prop.D[i][0][2][c2][c1].im};
rprop.D[i][2][0][c1][c2] = (qcd_complex_16){ prop.D[i][2][0][c1][c2].re, prop.D[i][2][0][c1][c2].im};
lprop.D[i][2][1][c1][c2] = (qcd_complex_16){ prop.D[i][1][2][c2][c1].re, -prop.D[i][1][2][c2][c1].im};
rprop.D[i][2][1][c1][c2] = (qcd_complex_16){ prop.D[i][2][1][c1][c2].re, prop.D[i][2][1][c1][c2].im};
lprop.D[i][2][2][c1][c2] = (qcd_complex_16){ prop.D[i][2][2][c2][c1].im, prop.D[i][2][2][c2][c1].re};
rprop.D[i][2][2][c1][c2] = (qcd_complex_16){-prop.D[i][2][2][c1][c2].im, prop.D[i][2][2][c1][c2].re};
lprop.D[i][2][3][c1][c2] = (qcd_complex_16){ prop.D[i][3][2][c2][c1].im, prop.D[i][3][2][c2][c1].re};
rprop.D[i][2][3][c1][c2] = (qcd_complex_16){-prop.D[i][2][3][c1][c2].im, prop.D[i][2][3][c1][c2].re};
lprop.D[i][3][0][c1][c2] = (qcd_complex_16){ prop.D[i][0][3][c2][c1].re, -prop.D[i][0][3][c2][c1].im};
rprop.D[i][3][0][c1][c2] = (qcd_complex_16){ prop.D[i][3][0][c1][c2].re, prop.D[i][3][0][c1][c2].im};
lprop.D[i][3][1][c1][c2] = (qcd_complex_16){ prop.D[i][1][3][c2][c1].re, -prop.D[i][1][3][c2][c1].im};
rprop.D[i][3][1][c1][c2] = (qcd_complex_16){ prop.D[i][3][1][c1][c2].re, prop.D[i][3][1][c1][c2].im};
lprop.D[i][3][2][c1][c2] = (qcd_complex_16){ prop.D[i][2][3][c2][c1].im, prop.D[i][2][3][c2][c1].re};
rprop.D[i][3][2][c1][c2] = (qcd_complex_16){-prop.D[i][3][2][c1][c2].im, prop.D[i][3][2][c1][c2].re};
lprop.D[i][3][3][c1][c2] = (qcd_complex_16){ prop.D[i][3][3][c2][c1].im, prop.D[i][3][3][c2][c1].re};
rprop.D[i][3][3][c1][c2] = (qcd_complex_16){-prop.D[i][3][3][c1][c2].im, prop.D[i][3][3][c1][c2].re};
}
if(myid==0) printf("propagators transformed to physical basis\n");
qcd_waitall(&geo);
////////////////////////////////////////////////////////////////////////////////////////////////////////
//create and print out the fourier transformed propagators
memset(&(Sdown[0][0][0][0].re),0,12*12*sizeof(qcd_complex_16));
memset(&(Sup[0][0][0][0].re),0,12*12*sizeof(qcd_complex_16));
for(t=0; t<geo.lL[0]; t++)
for(x=0; x<geo.lL[1]; x++)
for(y=0; y<geo.lL[2]; y++)
for(z=0; z<geo.lL[3]; z++)
{
tmp = (t+geo.lL[0]*geo.Pos[0])*p[0];
tmp+= (x+geo.lL[1]*geo.Pos[1])*p[1];
tmp+= (y+geo.lL[2]*geo.Pos[2])*p[2];
tmp+= (z+geo.lL[3]*geo.Pos[3])*p[3];
phase_factor = (qcd_complex_16) {cos(tmp), sin(tmp)};
Cphase_factor= qcd_CONJ(phase_factor);
i = qcd_LEXIC(t,x,y,z,geo.lL);
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
for(c1=0; c1<3; c1++)
for(c2=0; c2<3; c2++)
{
Sdown[mu][nu][c1][c2] = qcd_CADD(Sdown[mu][nu][c1][c2], qcd_CMUL(Cphase_factor,rprop.D[i][mu][nu][c1][c2]));
Sup[mu][nu][c1][c2] = qcd_CSUB(Sup[mu][nu][c1][c2], qcd_CMUL( phase_factor,lprop.D[i][mu][nu][c1][c2]));
}
}
if(myid==0) printf("local momentum propagators calculated\n");
if(myid==0)
{
j=0;
if( (fp_vfun_s=fopen(vfun_s_name,"w"))==NULL) j++;
if( (fp_vfun_p=fopen(vfun_p_name,"w"))==NULL) j++;
if( (fp_vfun_v=fopen(vfun_v_name,"w"))==NULL) j++;
if( (fp_vfun_a=fopen(vfun_a_name,"w"))==NULL) j++;
if( (fp_vfun_t=fopen(vfun_t_name,"w"))==NULL) j++;
if( (fp_vfun_vD=fopen(vfun_vD_name,"w"))==NULL) j++;
if( (fp_vfun_aD=fopen(vfun_aD_name,"w"))==NULL) j++;
if( (fp_vfun_tD=fopen(vfun_tD_name,"w"))==NULL) j++;
if( (fp_vfun_d1=fopen(vfun_d1_name,"w"))==NULL) j++;
if( (fp_vfun_vDD=fopen(vfun_vDD_name,"w"))==NULL) j++;
if( (fp_vfun_aDD=fopen(vfun_aDD_name,"w"))==NULL) j++;
if( (fp_pprop=fopen(pprop_name,"w"))==NULL) j++;
if(j>0) fprintf(stderr,"Error while opening output files for writing!\n");
}
MPI_Bcast(&j,1,MPI_INT, 0, MPI_COMM_WORLD);
if(j>0) exit(EXIT_FAILURE);
if(myid==0) printf("all output files ready for writing\n");
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
for(c1=0; c1<3; c1++)
for(c2=0; c2<3; c2++)
{
MPI_Reduce(&(Sdown[mu][nu][c1][c2].re), &(C.re), 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
MPI_Reduce(&(Sdown[mu][nu][c1][c2].im), &(C.im), 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
fprintf(fp_pprop,"d %i %i %i %i %e %e\n",mu, nu, c1, c2, C.re/geo.V, C.im/geo.V);
MPI_Reduce(&(Sup[mu][nu][c1][c2].re), &(C.re), 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
MPI_Reduce(&(Sup[mu][nu][c1][c2].im), &(C.im), 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
fprintf(fp_pprop,"u %i %i %i %i %e %e\n",mu, nu, c1, c2, C.re/geo.V, C.im/geo.V);
}
if(myid==0) printf("global momentum propagators calculated and written\n");
////////////////////////////////////////////////////////////////////////////////////////////////////////
//create and print out the vertex functions
qcd_communicatePropagatorPM(&lprop);
qcd_waitall(&geo);
qcd_communicatePropagatorPM(&rprop);
qcd_waitall(&geo);
memset(&(vfun_s[0][0][0][0].re),0,4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_p[0][0][0][0].re),0,4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_v[0][0][0][0][0].re),0,4*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_a[0][0][0][0][0].re),0,4*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_t[0][0][0][0][0].re),0,16*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_vD[0][0][0][0][0].re),0,16*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_aD[0][0][0][0][0].re),0,16*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_tD[0][0][0][0][0].re),0,64*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_d1[0][0][0][0][0].re),0,16*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_vDD[0][0][0][0][0].re),0,64*4*4*3*3*sizeof(qcd_complex_16));
memset(&(vfun_aDD[0][0][0][0][0].re),0,64*4*4*3*3*sizeof(qcd_complex_16));
qcd_gaugeField *u_fb;
u_fb = getGaugeFieldFwdBwd(u);
/*
* The following loop initialises u_mu_nu[][][][], which holds
* products of two links, e.g:
*
* u_mu_nu[0|1][mu][0|1][nu].D[v][:NC][:NC] is the gauge field at site
* "v" in forward|backwards direction "mu" times the gauge field at site
* "v+|-\hat{mu}" pointing in the forward|backwards direction "nu".
*
* Therefore we define the eight "L" shapes eminating from site "v"
* in each plane, and for 4-dimensions we have six planes, so times
* eight "L"s, in total 48 "L"s eminating from each site.
*
* Alternatively, one can reach the same number of "L"s, by
* considering the full size of u_mu_nu: 2*4*2*4 = 64, minus the
* elements mu == nu, which are 16: 2*4*2, leading again to 48.
*
* There is indeed a lot of redundancy, of at least a factor of
* two, however this makes implementing the second derivative far
* simpler.
*/
qcd_gaugeTransformation u_mu_nu[2][4][2][4];
for(int mu=0; mu<4; mu++)
for(int dir_mu=0; dir_mu<2; dir_mu++)
{
int m = dir_mu*4 + mu;
qcd_gaugeField v = shiftLinks(u, m);
qcd_gaugeField *v_fb = getGaugeFieldFwdBwd(v);
qcd_destroyGaugeField(&v);
for(int nu=0; nu<4; nu++)
for(int dir_nu=0; dir_nu<2; dir_nu++)
{
if(mu == nu)
continue;
u_mu_nu[dir_mu][mu][dir_nu][nu] = mulLinks(u_fb[dir_mu], v_fb[dir_nu], mu, nu);
qcd_communicateTransformationPM(&u_mu_nu[dir_mu][mu][dir_nu][nu]);
qcd_waitall(u_mu_nu[dir_mu][mu][dir_nu][nu].geo);
}
qcd_destroyGaugeField(&v_fb[0]);
qcd_destroyGaugeField(&v_fb[1]);
}
if(myid==0)
printf("gauge field \"L\"s computed\n");
qcd_propagator lprop_mu[8]; /* left-prop shifted by mu */
qcd_propagator rprop_mu[8]; /* right-prop shifted by mu */
qcd_propagator lprop_mu_nu[8][8]; /* left-prop shifted by mu and nu */
qcd_propagator rprop_mu_nu[8][8]; /* right-prop shifted by mu and nu */
for(int mu=0; mu<4; mu++)
for(int dir_mu=0; dir_mu<2; dir_mu++)
{
int m = mu + dir_mu*4;
lprop_mu[m] = shiftProp(lprop, m);
rprop_mu[m] = shiftProp(rprop, m);
for(int nu=mu+1; nu<4; nu++)
for(int dir_nu=0; dir_nu<2; dir_nu++)
{
/*
* 1. For the second deriv, we need no diagonal elements [mu][mu]
* 2. For the fermions, [mu][nu] is equivalent to [nu][mu]
*/
int n = nu + dir_nu*4;
lprop_mu_nu[m][n] = shiftProp(lprop_mu[m], n);
rprop_mu_nu[m][n] = shiftProp(rprop_mu[m], n);
}
for(int nu=0; nu<mu; nu++)
for(int dir_nu=0; dir_nu<2; dir_nu++)
{
/*
* 1. For the second deriv, we need no diagonal elements [mu][mu]
* 2. For the fermions, [mu][nu] is equivalent to [nu][mu]
*/
int n = nu + dir_nu*4;
lprop_mu_nu[m][n] = lprop_mu_nu[n][m];
rprop_mu_nu[m][n] = rprop_mu_nu[n][m];
}
}
/*
* For shifts in mu == 0 or nu == 0, the antiperiodicity has to be
* taken into account. E.g.:
*
* prop_mu[0].D[t,:] = prop.D[t+\hat{0},:], meaning prop_mu[0].D[T-1,:] = -prop.D[0,:]
* prop_mu[4].D[t,:] = prop.D[t-\hat{0},:], meaning prop_mu[4].D[0,:] = -prop.D[T-1,:]
*
* so: after a forward shift time-slice T-1 must be scaled by -1, and
* after a backwards shift time-slice 0 must be scaled by -1
*/
scale_prop_tslice(lprop_mu[0], geo.L[0]-1, -1);
scale_prop_tslice(lprop_mu[4], 0, -1);
scale_prop_tslice(rprop_mu[0], geo.L[0]-1, -1);
scale_prop_tslice(rprop_mu[4], 0, -1);
for(int mu=1; mu<4; mu++)
for(int dir=0; dir<2; dir++)
{
int xmu = mu + dir*4;
/* Remember:
*
* prop_mu_nu[0][0],
* prop_mu_nu[0][4],
* prop_mu_nu[4][0], and
* prop_mu_nu[4][4]
*
* are not allocated.
*/
/*
* We only need to fix the sign in either [mu][0] or [0][mu],
* since one is a reference to the other
*/
/* scale_prop_tslice(rprop_mu_nu[xmu][0], geo.L[0]-1, -1); */
/* scale_prop_tslice(rprop_mu_nu[xmu][4], 0, -1); */
/* scale_prop_tslice(lprop_mu_nu[xmu][0], geo.L[0]-1, -1); */
/* scale_prop_tslice(lprop_mu_nu[xmu][4], 0, -1); */
scale_prop_tslice(rprop_mu_nu[0][xmu], geo.L[0]-1, -1);
scale_prop_tslice(rprop_mu_nu[4][xmu], 0, -1);
scale_prop_tslice(lprop_mu_nu[0][xmu], geo.L[0]-1, -1);
scale_prop_tslice(lprop_mu_nu[4][xmu], 0, -1);
}
if(myid==0)
printf("one- and two-hop shifted propagators communicated\n");
for(i=0; i<geo.lV; i++)
{
qcd_antilexic(xx, i, geo.lL);
for(id1=0; id1<4; id1++)
for(id2=0; id2<4; id2++)
for(id3=0; id3<4; id3++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
{
lxr = (qcd_complex_16) {0,0};
for(ic2=0; ic2<3; ic2++)
{
lxr = qcd_CADD(lxr, qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
rprop.D[i][id3][id4][ic2][ic4]));
}
for(mu=0; mu<4; mu++)
{
qcd_propagator *lp_m = &(lprop_mu[4+mu]);
qcd_propagator *lp_p = &(lprop_mu[mu]);
qcd_propagator *rp_m = &(rprop_mu[4+mu]);
qcd_propagator *rp_p = &(rprop_mu[mu]);
lDmur[mu] = (qcd_complex_16){0,0};
for(ic2=0; ic2<3; ic2++)
for(ic3=0; ic3<3; ic3++)
{
//calculate: propagator(i) D_mu propagator(i)
// x x x+mu
lDmur[mu] = qcd_CADD(lDmur[mu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_fb[0].D[i][mu][ic2][ic3],
rp_p->D[i][id3][id4][ic3][ic4])));
// x x-mu x-mu
lDmur[mu] = qcd_CSUB(lDmur[mu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_fb[1].D[i][mu][ic2][ic3],
rp_m->D[i][id3][id4][ic3][ic4])));
// x+mu x x
lDmur[mu] = qcd_CSUB(lDmur[mu],
qcd_CMUL(lp_p->D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_fb[0].D[i][mu][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
// x-mu x-mu x
lDmur[mu] = qcd_CADD(lDmur[mu],
qcd_CMUL(lp_m->D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_fb[1].D[i][mu][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
}//end ic2, ic3 loops
}//end mu loop
qcd_complex_16 lDmunur[4][4];
for(int mu=0; mu<4; mu++)
for(int nu=0; nu<4; nu++)
{
if(mu == nu)
continue;
/*
* We will, in certain cases, need the "L"s at a
* neighboring site. Because of the redundancy when
* defining the "L"s we can choose to only take the
* "L"s of neighbors in, say, the mu direction
*/
ip1 = geo.plus[i][mu];
im1 = geo.minus[i][mu];
lDmunur[mu][nu] = (qcd_complex_16){0,0};
for(ic2=0; ic2<3; ic2++)
for(ic3=0; ic3<3; ic3++)
{
/* D^{-> ->} */
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[0][mu][0][nu].D[i][ic2][ic3],
rprop_mu_nu[mu][nu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[0][mu][1][nu].D[i][ic2][ic3],
rprop_mu_nu[mu][nu+4].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[1][mu][0][nu].D[i][ic2][ic3],
rprop_mu_nu[mu+4][nu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop.D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[1][mu][1][nu].D[i][ic2][ic3],
rprop_mu_nu[mu+4][nu+4].D[i][id3][id4][ic3][ic4])));
/* D^{<- <-} */
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu_nu[mu][nu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[0][nu][0][mu].D[i][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu_nu[mu+4][nu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[0][nu][1][mu].D[i][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu_nu[mu][nu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[1][nu][0][mu].D[i][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu_nu[mu+4][nu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[1][nu][1][mu].D[i][ic3][ic2]),
rprop.D[i][id3][id4][ic3][ic4])));
/* D^{-> <-} */
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[nu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[1][nu][1][mu].D[ip1][ic3][ic2]),
rprop_mu[mu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[nu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[0][nu][1][mu].D[ip1][ic3][ic2]),
rprop_mu[mu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[nu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[1][nu][0][mu].D[im1][ic3][ic2]),
rprop_mu[mu+4].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[nu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(qcd_CONJ(u_mu_nu[0][nu][0][mu].D[im1][ic3][ic2]),
rprop_mu[mu+4].D[i][id3][id4][ic3][ic4])));
/* D^{<- ->} */
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[mu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[0][mu][0][nu].D[im1][ic2][ic3],
rprop_mu[nu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[mu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[1][mu][0][nu].D[ip1][ic2][ic3],
rprop_mu[nu].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CSUB(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[mu+4].D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[0][mu][1][nu].D[im1][ic2][ic3],
rprop_mu[nu+4].D[i][id3][id4][ic3][ic4])));
lDmunur[mu][nu] = qcd_CADD(lDmunur[mu][nu],
qcd_CMUL(lprop_mu[mu].D[i][id1][id2][ic1][ic2],
qcd_CMUL(u_mu_nu[1][mu][1][nu].D[ip1][ic2][ic3],
rprop_mu[nu+4].D[i][id3][id4][ic3][ic4])));
}
}
//local operators
/*********** local scalar density ***********/
vfun_s[id1][id4][ic1][ic4] = qcd_CADD(vfun_s[id1][id4][ic1][ic4], qcd_CMUL(lxr,
qcd_ONE[id2][id3]));
/*********** local pseudoscalar density ***********/
vfun_p[id1][id4][ic1][ic4] = qcd_CADD(vfun_p[id1][id4][ic1][ic4], qcd_CMUL(lxr,
qcd_GAMMA[5][id2][id3]));
/*********** local vector current ***********/
for(mu=0; mu<4; mu++)
if(qcd_NORM(qcd_GAMMA[mu][id2][id3])>1e-4)
{
vfun_v[mu][id1][id4][ic1][ic4] = qcd_CADD(vfun_v[mu][id1][id4][ic1][ic4], qcd_CMUL(lxr,
qcd_GAMMA[mu][id2][id3]));
}
/*********** local axial current ***********/
for(mu=0; mu<4; mu++)
if(qcd_NORM(qcd_G5GAMMA[mu][id2][id3])>1e-4)
{
vfun_a[mu][id1][id4][ic1][ic4] = qcd_CADD(vfun_a[mu][id1][id4][ic1][ic4], qcd_CMUL(lxr,
qcd_G5GAMMA[mu][id2][id3]));
}
/*********** local tensor current ***********/
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
if(nu != mu)
if(qcd_NORM(g5sig[mu][nu][id2][id3])>1e-4)
{
vfun_t[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_t[mu*4+nu][id1][id4][ic1][ic4], qcd_CMUL(lxr,
g5sig[mu][nu][id2][id3]));
}
for(mu=0; mu<4; mu++)
for(nu=0; nu<=mu; nu++)
{
/*********** one derivative vector operator ***********/
if(qcd_NORM(qcd_GAMMA[mu][id2][id3])>1e-4)
{
vfun_vD[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_vD[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_GAMMA[mu][id2][id3],
lDmur[nu]));
}
if(qcd_NORM(qcd_GAMMA[nu][id2][id3])>1e-4)
{
vfun_vD[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_vD[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_GAMMA[nu][id2][id3],
lDmur[mu]));
}
/*********** one derivative axial and axial-antisymmetric operators ***********/
if(qcd_NORM(qcd_G5GAMMA[mu][id2][id3])>1e-4)
{
vfun_aD[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_aD[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_G5GAMMA[mu][id2][id3],
lDmur[nu]));
vfun_d1[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_d1[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_G5GAMMA[mu][id2][id3],
lDmur[nu]));
}
if(qcd_NORM(qcd_G5GAMMA[nu][id2][id3])>1e-4)
{
vfun_aD[mu*4+nu][id1][id4][ic1][ic4] = qcd_CADD(vfun_aD[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_G5GAMMA[nu][id2][id3],
lDmur[mu]));
vfun_d1[mu*4+nu][id1][id4][ic1][ic4] = qcd_CSUB(vfun_d1[mu*4+nu][id1][id4][ic1][ic4],
qcd_CMUL(qcd_G5GAMMA[nu][id2][id3],
lDmur[mu]));
}
}//end mu nu loop
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
for(rho=0; rho<4; rho++)
{
/*********** one derivative tensor operator ***********/
if(qcd_NORM(g5sig[mu][nu][id2][id3])>1e-4)
{
vfun_tD[mu*16+nu*4+rho][id1][id4][ic1][ic4] = qcd_CADD(vfun_tD[mu*16+nu*4+rho][id1][id4][ic1][ic4],
qcd_CMUL(g5sig[mu][nu][id2][id3],
lDmur[rho]));
}
if(qcd_NORM(g5sig[mu][rho][id2][id3])>1e-4)
{
vfun_tD[mu*16+nu*4+rho][id1][id4][ic1][ic4] = qcd_CADD(vfun_tD[mu*16+nu*4+rho][id1][id4][ic1][ic4],
qcd_CMUL(g5sig[mu][rho][id2][id3],
lDmur[nu]));
}
}//end mu/nu/rho loop
for(mu=0; mu<4; mu++)
{
for(nu=0; nu<4; nu++)
{
if(nu == mu)
continue;
for(tau=0; tau<4; tau++)
{
if(mu==tau)
continue;
if(nu==tau)
continue;
/*********** second derivative vector operator ***********/
if(qcd_NORM(qcd_GAMMA[mu][id2][id3])>1e-4)
{
vfun_vDD[mu*16+nu*4+tau][id1][id4][ic1][ic4] = qcd_CADD(vfun_vDD[mu*16+nu*4+tau][id1][id4][ic1][ic4],
qcd_CMUL(qcd_GAMMA[mu][id2][id3],
lDmunur[nu][tau]));
}
/*********** second derivative axial vector operator ***********/
if(qcd_NORM(qcd_G5GAMMA[mu][id2][id3])>1e-4)
{
vfun_aDD[mu*16+nu*4+tau][id1][id4][ic1][ic4] = qcd_CADD(vfun_aDD[mu*16+nu*4+tau][id1][id4][ic1][ic4],
qcd_CMUL(qcd_G5GAMMA[mu][id2][id3],
lDmunur[nu][tau]));
}
}
}
}
}//end id1,id2,id3,id4,ic1,ic4 loops
}//end i loop
if(myid==0) printf("local vertex functions calculated\n");
//global sums and output into files
MPI_Reduce(&(vfun_s[0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_s,"%i %i %i %i %+e %+e\n",id1,id4,ic1,ic4,vfun_tmp[0][id1][id4][ic1][ic4].re/geo.V,vfun_tmp[0][id1][id4][ic1][ic4].im/geo.V);
MPI_Reduce(&(vfun_p[0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_p,"%i %i %i %i %+e %+e\n",id1,id4,ic1,ic4,vfun_tmp[0][id1][id4][ic1][ic4].re/geo.V,vfun_tmp[0][id1][id4][ic1][ic4].im/geo.V);
MPI_Reduce(&(vfun_v[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 4*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(mu=0; mu<4; mu++)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_v,"%i %i %i %i %i %+e %+e\n",mu,id1,id4,ic1,ic4,vfun_tmp[mu][id1][id4][ic1][ic4].re/geo.V,vfun_tmp[mu][id1][id4][ic1][ic4].im/geo.V);
MPI_Reduce(&(vfun_a[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 4*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(mu=0; mu<4; mu++)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_a,"%i %i %i %i %i %+e %+e\n",mu,id1,id4,ic1,ic4,vfun_tmp[mu][id1][id4][ic1][ic4].re/geo.V,vfun_tmp[mu][id1][id4][ic1][ic4].im/geo.V);
MPI_Reduce(&(vfun_t[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 16*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(mu=0; mu<4; mu++)
for(nu=0; nu<4; nu++)
if(mu != nu)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_t,"%i %i %i %i %i %i %+e %+e\n",mu,nu,id1,id4,ic1,ic4,vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].re/geo.V,vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].im/geo.V);
if(myid==0) printf("global 0-derivative vertex functions calculated and written\n");
MPI_Reduce(&(vfun_vD[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 16*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(mu=0; mu<4; mu++)
for(nu=0; nu<=mu; nu++)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_vD,"%i %i %i %i %i %i %+e %+e\n",mu,nu,id1,id4,ic1,ic4,vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].re/(8*geo.V),vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].im/(8*geo.V));
MPI_Reduce(&(vfun_aD[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 16*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)
for(mu=0; mu<4; mu++)
for(nu=0; nu<=mu; nu++)
for(id1=0; id1<4; id1++)
for(id4=0; id4<4; id4++)
for(ic1=0; ic1<3; ic1++)
for(ic4=0; ic4<3; ic4++)
fprintf(fp_vfun_aD,"%i %i %i %i %i %i %+e %+e\n",mu,nu,id1,id4,ic1,ic4,vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].re/(8*geo.V),vfun_tmp[mu*4+nu][id1][id4][ic1][ic4].im/(8*geo.V));
MPI_Reduce(&(vfun_d1[0][0][0][0][0].re), &(vfun_tmp[0][0][0][0][0].re), 16*4*4*3*3*2, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);
if(myid==0)