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#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#ifdef nompi
#include "mimic_mpi.h"
#else
#include <mpi.h>
#endif
#include "tran_prototypes.h"
#include "lapack_prototypes.h"
/*
* calculate G^<(w)
* G^< (w) = G^R(w) ( Gamma_L(w) nf(w-ChemP_L) + Gamma_R(w) nf(w-ChemP_R) ) G^A(w)
*
* ... w_weight includes -1 factor
* rho(w) = -1/PI Im G(w)
*
* ... therefore, this function returns -G^< (w)
*
*
* no implicit variables
*/
void TRAN_Calc_CentGreenLesser(
/* input */
dcomplex w,
double ChemP_e[2],
int nc,
dcomplex *SigmaL,
dcomplex *SigmaR,
dcomplex *GC, /* input */
dcomplex *v1, /* work, nc*nc */
dcomplex *Gless /* output */
)
#define GC_ref(i,j) GC[nc*((j)-1)+(i)-1]
#define SigmaL_ref(i,j) SigmaL[nc*((j)-1)+(i)-1]
#define SigmaR_ref(i,j) SigmaR[nc*((j)-1)+(i)-1]
#define v1_ref(i,j) v1[nc*((j)-1)+(i)-1]
#define Gless_ref(i,j) Gless[nc*((j)-1)+(i)-1]
{
int i,j;
int side;
dcomplex alpha,beta;
alpha.r=1.0;
alpha.i=0.0;
beta.r=0.0;
beta.i=0.0;
for (j=1;j<=nc;j++) {
for (i=1;i<=nc;i++) {
Gless_ref(i,j).r = 0.0;
Gless_ref(i,j).i = 0.0;
}
}
side=0;
if ( w.r <= ChemP_e[side] ) {
for (j=1;j<=nc;j++) {
for (i=1;i<=nc;i++) {
Gless_ref(i,j).r += 0.0; /* Gamma_L */
Gless_ref(i,j).i += -SigmaL_ref(i,j).i*2.0;
}
}
}
#ifdef DEBUG
TRAN_Print2_dcomplex("self+",nc,nc,Gless);
#endif
side=1;
if ( w.r <= ChemP_e[side] ) {
for (j=1;j<=nc;j++) {
for (i=1;i<=nc;i++) {
Gless_ref(i,j).r += 0.0;
Gless_ref(i,j).i += -SigmaR_ref(i,j).i*2.0; /* Gamma_R */
}
}
}
#ifdef DEBUG
TRAN_Print2_dcomplex("self+self",nc,nc,Gless);
#endif
if (w.r > ChemP_e[0] && w.r > ChemP_e[1] ) {
/* then Gless =0 as it is here */
return;
}
/* now Gless = Gamma_L f(w-EF_L) + Gamma_R f(w-EF_R) */
F77_NAME(zgemm,ZGEMM)("N","N",&nc,&nc,&nc,&alpha, GC, &nc, Gless, &nc, &beta, v1, &nc);
/* G^R(w) * ( Gamma_L f(w-EF_L) + Gamma_R f(w-EF_R) ) */
#ifdef DEBUG
TRAN_Print2_dcomplex("GxSelf",nc,nc,v1);
#endif
for (j=1;j<=nc;j++) {
for (i=1;i<=nc;i++) {
GC_ref(i,j).i = - GC_ref(i,j).i; /* G^A(w) */
}
}
F77_NAME(zgemm,ZGEMM)("N","N",&nc,&nc,&nc,&alpha, v1, &nc, GC, &nc, &beta, Gless, &nc);
/* v1= G^R(w) * ( Gamma_L f(w-EF_L) + Gamma_R f(w-EF_R) ) G^A(w) */
for (j=1;j<=nc;j++) {
for (i=1;i<=nc;i++) {
GC_ref(i,j).i = - GC_ref(i,j).i; /* G^R(w) */
}
}
}
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