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fourfs.h
executable file
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fourfs.h
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void fourew(NRvector<fstream*> &file, Int &na, Int &nb, Int &nc, Int &nd) {
Int i;
for (i=0;i<4;i++) (*file[i]).seekp(0);
for (i=0;i<4;i++) (*file[i]).seekg(0);
SWAP(file[1],file[3]);
SWAP(file[0],file[2]);
na=2;
nb=3;
nc=0;
nd=1;
}
void fourfs(NRvector<fstream*> &file, VecInt_I &nn, const Int isign) {
const Int KBF=128;
static Int mate[4]={1,0,3,2};
Int cc,cc0,j,j12,jk,k,kk,n=1,mm,kc=0,kd,ks,kr,na,nb,nc,nd,nr,ns,nv;
Doub tempr,tempi,wr,wi,wpr,wpi,wtemp,theta;
VecDoub afa(KBF),afb(KBF),afc(KBF);
Int ndim=nn.size();
for (j=0;j<ndim;j++) {
n *= nn[j];
if (nn[j] <= 1) throw("invalid Doub or wrong ndim in fourfs");
}
nv=0;
jk=nn[nv];
mm=n;
ns=n/KBF;
nr=ns >> 1;
kd=KBF >> 1;
ks=n;
fourew(file,na,nb,nc,nd);
for (;;) {
theta=isign*3.141592653589793/(n/mm);
wtemp=sin(0.5*theta);
wpr = -2.0*wtemp*wtemp;
wpi=sin(theta);
wr=1.0;
wi=0.0;
mm >>= 1;
for (j12=0;j12<2;j12++) {
kr=0;
do {
cc0=(*file[na]).tellg()/sizeof(Doub);
(*file[na]).read((char *) &afa[0],KBF*sizeof(Doub));
cc=(*file[na]).tellg()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("read error 1 in fourfs");
cc0=(*file[nb]).tellg()/sizeof(Doub);
(*file[nb]).read((char *) &afb[0],KBF*sizeof(Doub));
cc=(*file[nb]).tellg()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("read error 2 in fourfs");
for (j=0;j<KBF;j+=2) {
tempr=wr*afb[j]-wi*afb[j+1];
tempi=wi*afb[j]+wr*afb[j+1];
afb[j]=afa[j]-tempr;
afa[j] += tempr;
afb[j+1]=afa[j+1]-tempi;
afa[j+1] += tempi;
}
kc += kd;
if (kc == mm) {
kc=0;
wr=(wtemp=wr)*wpr-wi*wpi+wr;
wi=wi*wpr+wtemp*wpi+wi;
}
cc0=(*file[nc]).tellp()/sizeof(Doub);
(*file[nc]).write((char *) &afa[0],KBF*sizeof(Doub));
cc=(*file[nc]).tellp()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("write error 1 in fourfs");
cc0=(*file[nd]).tellp()/sizeof(Doub);
(*file[nd]).write((char *) &afb[0],KBF*sizeof(Doub));
cc=(*file[nd]).tellp()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("write error 2 in fourfs");
} while (++kr < nr);
if (j12 == 0 && ks != n && ks == KBF) {
na=mate[na];
nb=na;
}
if (nr == 0) break;
}
fourew(file,na,nb,nc,nd);
jk >>= 1;
while (jk == 1) {
mm=n;
jk=nn[++nv];
}
ks >>= 1;
if (ks > KBF) {
for (j12=0;j12<2;j12++) {
for (kr=0;kr<ns;kr+=ks/KBF) {
for (k=0;k<ks;k+=KBF) {
cc0=(*file[na]).tellg()/sizeof(Doub);
(*file[na]).read((char *) &afa[0],KBF*sizeof(Doub));
cc=(*file[na]).tellg()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("read error 3 in fourfs");
cc0=(*file[nc]).tellp()/sizeof(Doub);
(*file[nc]).write((char *) &afa[0],KBF*sizeof(Doub));
cc=(*file[nc]).tellp()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("write error 3 in fourfs");
}
nc=mate[nc];
}
na=mate[na];
}
fourew(file,na,nb,nc,nd);
} else if (ks == KBF) nb=na;
else break;
}
j=0;
for (;;) {
theta=isign*3.141592653589793/(n/mm);
wtemp=sin(0.5*theta);
wpr = -2.0*wtemp*wtemp;
wpi=sin(theta);
wr=1.0;
wi=0.0;
mm >>= 1;
ks=kd;
kd >>= 1;
for (j12=0;j12<2;j12++) {
for (kr=0;kr<ns;kr++) {
cc0=(*file[na]).tellg()/sizeof(Doub);
(*file[na]).read((char *) &afc[0],KBF*sizeof(Doub));
cc=(*file[na]).tellg()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("read error 4 in fourfs");
kk=0;
k=ks;
for (;;) {
tempr=wr*afc[kk+ks]-wi*afc[kk+ks+1];
tempi=wi*afc[kk+ks]+wr*afc[kk+ks+1];
afa[j]=afc[kk]+tempr;
afb[j]=afc[kk]-tempr;
afa[++j]=afc[++kk]+tempi;
afb[j++]=afc[kk++]-tempi;
if (kk < k) continue;
kc += kd;
if (kc == mm) {
kc=0;
wr=(wtemp=wr)*wpr-wi*wpi+wr;
wi=wi*wpr+wtemp*wpi+wi;
}
kk += ks;
if (kk > KBF-1) break;
else k=kk+ks;
}
if (j > KBF-1) {
cc0=(*file[nc]).tellp()/sizeof(Doub);
(*file[nc]).write((char *) &afa[0],KBF*sizeof(Doub));
cc=(*file[nc]).tellp()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("write error 4 in fourfs");
cc0=(*file[nd]).tellp()/sizeof(Doub);
(*file[nd]).write((char *) &afb[0],KBF*sizeof(Doub));
cc=(*file[nd]).tellp()/sizeof(Doub);
if ((cc-cc0) != KBF) throw("write error 5 in fourfs");
j=0;
}
}
na=mate[na];
}
fourew(file,na,nb,nc,nd);
jk >>= 1;
if (jk > 1) continue;
mm=n;
do {
if (nv < ndim-1) jk=nn[++nv];
else return;
} while (jk == 1);
}
}