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/**********************************************************************
FT_PAO.c:
FT_PAO.c is a subroutine to Fourier transform pseudo atomic
orbitals.
Log of FT_PAO.c:
15/Sep/2002 Released by T.Ozaki
***********************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
/* stat section */
#include <sys/types.h>
#include <sys/stat.h>
#include <unistd.h>
/* end stat section */
#include "openmx_common.h"
#include "mpi.h"
#include <omp.h>
void FT_PAO()
{
int numprocs,myid,ID,tag=999;
int count,NumSpe;
int i,kj,num_k;
int Lspe,spe,GL,Mul;
int RestartRead_Succeed;
double dk,norm_k,h;
double rmin,rmax,r,r2,sum;
double sy,sjp,syp;
double Sr,Dr,dum0;
double **SphB;
double *tmp_SphB,*tmp_SphBp;
double TStime, TEtime;
/* for MPI */
MPI_Status stat;
MPI_Request request;
/* for OpenMP */
int OMPID,Nthrds,Nprocs;
char fileFT[YOUSO10];
char operate[300];
FILE *fp;
size_t size;
dtime(&TStime);
/* MPI */
MPI_Comm_size(mpi_comm_level1,&numprocs);
MPI_Comm_rank(mpi_comm_level1,&myid);
if (myid==Host_ID && 0<level_stdout) printf("<FT_PAO> Fourier transform of pseudo atomic orbitals\n");
RestartRead_Succeed = 0;
/***********************************************************
In case of Scf_RestartFromFile==1, read Spe_RF_Bessel
***********************************************************/
if (Scf_RestartFromFile==1){
/****************************************************
generate radial grids in the k-space
****************************************************/
dk = PAO_Nkmax/(double)Ngrid_NormK;
for (i=0; i<Ngrid_NormK; i++){
NormK[i] = (double)i*dk;
}
/***********************************************************
read Spe_RF_Bessel
***********************************************************/
sprintf(fileFT,"%s%s_rst/%s.ftpao",filepath,filename,filename);
if ((fp = fopen(fileFT,"rb")) != NULL){
RestartRead_Succeed = 1;
for (spe=0; spe<SpeciesNum; spe++){
for (GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
for (Mul=0; Mul<Spe_Num_Basis[spe][GL]; Mul++){
size = fread(&Spe_RF_Bessel[spe][GL][Mul][0],sizeof(double),List_YOUSO[15],fp);
if (size!=List_YOUSO[15]) RestartRead_Succeed = 0;
}
}
}
fclose(fp);
}
else{
printf("Could not open a file %s in FT_PAO\n",fileFT);
}
}
/***********************************************************
if (RestartRead_Succeed==0), calculate Spe_RF_Bessel
***********************************************************/
if (RestartRead_Succeed==0){
for (Lspe=0; Lspe<MSpeciesNum; Lspe++){
spe = Species_Top[myid] + Lspe;
num_k = Ngrid_NormK;
dk = PAO_Nkmax/(double)num_k;
rmin = Spe_PAO_RV[spe][0];
rmax = Spe_Atom_Cut1[spe] + 0.5;
h = (rmax - rmin)/(double)OneD_Grid;
/* kj loop */
#pragma omp parallel shared(num_k,dk,spe,rmin,rmax,h,Spe_PAO_RV,Spe_Atom_Cut1,OneD_Grid,Spe_MaxL_Basis,Spe_Num_Basis,Spe_RF_Bessel) private(OMPID,Nthrds,Nprocs,kj,norm_k,i,r,r2,tmp_SphB,tmp_SphBp,GL,SphB,Mul,sum)
{
/* allocate SphB */
SphB = (double**)malloc(sizeof(double*)*(Spe_MaxL_Basis[spe]+3));
for(GL=0; GL<(Spe_MaxL_Basis[spe]+3); GL++){
SphB[GL] = (double*)malloc(sizeof(double)*(OneD_Grid+1));
}
tmp_SphB = (double*)malloc(sizeof(double)*(Spe_MaxL_Basis[spe]+3));
tmp_SphBp = (double*)malloc(sizeof(double)*(Spe_MaxL_Basis[spe]+3));
/* get info. on OpenMP */
OMPID = omp_get_thread_num();
Nthrds = omp_get_num_threads();
Nprocs = omp_get_num_procs();
for ( kj=OMPID; kj<num_k; kj+=Nthrds ){
norm_k = (double)kj*dk;
/* calculate SphB */
for (i=0; i<=OneD_Grid; i++){
r = rmin + (double)i*h;
Spherical_Bessel(norm_k*r,Spe_MaxL_Basis[spe],tmp_SphB,tmp_SphBp);
r2 = r*r;
for(GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
SphB[GL][i] = tmp_SphB[GL]*r2;
}
}
for(GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
SphB[GL][0] *= 0.5;
SphB[GL][OneD_Grid] *= 0.5;
}
/* loof for GL and Mul */
for (GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
for (Mul=0; Mul<Spe_Num_Basis[spe][GL]; Mul++){
/****************************************************
\int jL(k*r)RL r^2 dr
****************************************************/
/* trapezoidal rule */
sum = 0.0;
for (i=0; i<=OneD_Grid; i++){
r = rmin + (double)i*h;
sum += RadialF(spe,GL,Mul,r)*SphB[GL][i];
}
sum = sum*h;
Spe_RF_Bessel[spe][GL][Mul][kj] = sum;
} /* Mul */
} /* GL */
} /* kj */
/* free SphB */
for(GL=0; GL<(Spe_MaxL_Basis[spe]+3); GL++){
free(SphB[GL]);
}
free(SphB);
free(tmp_SphB);
free(tmp_SphBp);
} /* #pragma omp parallel */
} /* Lspe */
/****************************************************
generate radial grids in the k-space
****************************************************/
dk = PAO_Nkmax/(double)Ngrid_NormK;
for (i=0; i<Ngrid_NormK; i++){
NormK[i] = (double)i*dk;
}
/***********************************************************
sending and receiving of Spe_RF_Bessel by MPI
***********************************************************/
for (ID=0; ID<Num_Procs2; ID++){
NumSpe = Species_End[ID] - Species_Top[ID] + 1;
for (Lspe=0; Lspe<NumSpe; Lspe++){
spe = Species_Top[ID] + Lspe;
for (GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
for (Mul=0; Mul<Spe_Num_Basis[spe][GL]; Mul++){
MPI_Bcast(&Spe_RF_Bessel[spe][GL][Mul][0],
List_YOUSO[15],MPI_DOUBLE,ID, mpi_comm_level1);
MPI_Barrier(mpi_comm_level1);
}
}
}
}
/***********************************************************
save Spe_RF_Bessel
***********************************************************/
if (myid==Host_ID){
sprintf(operate,"%s%s_rst",filepath,filename);
mkdir(operate,0775);
sprintf(fileFT,"%s%s_rst/%s.ftpao",filepath,filename,filename);
if ((fp = fopen(fileFT,"wb")) != NULL){
for (spe=0; spe<SpeciesNum; spe++){
for (GL=0; GL<=Spe_MaxL_Basis[spe]; GL++){
for (Mul=0; Mul<Spe_Num_Basis[spe][GL]; Mul++){
fwrite(&Spe_RF_Bessel[spe][GL][Mul][0],sizeof(double),List_YOUSO[15],fp);
}
}
}
fclose(fp);
}
else{
printf("Could not open a file %s in FT_PAO\n",fileFT);
}
}
} /* if (RestartRead_Succeed==0) */
/***********************************************************
elapsed time
***********************************************************/
dtime(&TEtime);
/*
printf("myid=%2d Elapsed Time (s) = %15.12f\n",myid,TEtime-TStime);
MPI_Finalize();
exit(0);
*/
}
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