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#include "ltfat.h"
#include "ltfat_types.h"
LTFAT_EXTERN void
LTFAT_NAME_COMPLEX(wfac)(const LTFAT_COMPLEX *g, const ltfatInt L, const ltfatInt R,
const ltfatInt a, const ltfatInt M,
LTFAT_COMPLEX *gf)
{
ltfatInt h_a, h_m, s;
LTFAT_REAL *sbuf, *gfp;
ltfatInt rem, negrem;
LTFAT_FFTW(plan) p_before;
const ltfatInt b = L/M;
const ltfatInt c=gcd(a, M,&h_a, &h_m);
const ltfatInt p=a/c;
const ltfatInt q=M/c;
const ltfatInt d=b/p;
const double sqrtM=sqrt(M);
sbuf = (LTFAT_REAL*)ltfat_malloc(2*d*sizeof(LTFAT_REAL));
/* Create plan. In-place. */
p_before = LTFAT_FFTW(plan_dft_1d)(d, (LTFAT_COMPLEX*)sbuf, (LTFAT_COMPLEX*)sbuf,
FFTW_FORWARD, FFTW_MEASURE);
const ltfatInt ld3=c*p*q*R;
gfp=(LTFAT_REAL*)gf;
for (ltfatInt r=0; r<c; r++)
{
for (ltfatInt w=0; w<R; w++)
{
for (ltfatInt l=0; l<q; l++)
{
for (ltfatInt k=0; k<p; k++)
{
negrem = positiverem(k*M-l*a,L);
for (s=0; s<d; s++)
{
rem = (negrem+s*p*M)%L;
sbuf[2*s] = LTFAT_COMPLEXH(creal)(sqrtM*g[r+rem+L*w]);
sbuf[2*s+1] = LTFAT_COMPLEXH(cimag)(sqrtM*g[r+rem+L*w]);
}
LTFAT_FFTW(execute)(p_before);
for (s=0; s<2*d; s+=2)
{
gfp[s*ld3] = sbuf[s];
gfp[s*ld3+1]= sbuf[s+1];
}
gfp+=2;
}
}
}
}
ltfat_free(sbuf);
LTFAT_FFTW(destroy_plan)(p_before);
}
/* wfac for real valued input. */
LTFAT_EXTERN void
LTFAT_NAME_REAL(wfac)(const LTFAT_REAL *g, const ltfatInt L, const ltfatInt R,
const ltfatInt a, const ltfatInt M,
LTFAT_COMPLEX *gf)
{
ltfatInt h_a, h_m;
LTFAT_REAL *sbuf, *gfp;
ltfatInt s;
ltfatInt rem, negrem;
LTFAT_FFTW(plan) p_before;
const ltfatInt b=L/M;
const ltfatInt c=gcd(a, M,&h_a, &h_m);
const ltfatInt p=a/c;
const ltfatInt q=M/c;
const ltfatInt d=b/p;
const double sqrtM=sqrt(M);
sbuf = (LTFAT_REAL*)ltfat_malloc(2*d*sizeof(LTFAT_REAL));
/* Create plan. In-place. */
p_before = LTFAT_FFTW(plan_dft_1d)(d, (LTFAT_COMPLEX*)sbuf,
(LTFAT_COMPLEX*)sbuf,
FFTW_FORWARD, FFTW_MEASURE);
const ltfatInt ld3=c*p*q*R;
gfp=(LTFAT_REAL*)gf;
for (ltfatInt r=0; r<c; r++)
{
for (ltfatInt w=0; w<R; w++)
{
for (ltfatInt l=0; l<q; l++)
{
for (ltfatInt k=0; k<p; k++)
{
negrem = positiverem(k*M-l*a,L);
for (s=0; s<d; s++)
{
rem = (negrem+s*p*M)%L;
sbuf[2*s] = sqrtM*g[r+rem+L*w];
sbuf[2*s+1] = 0.0;
}
LTFAT_FFTW(execute)(p_before);
for (s=0; s<2*d; s+=2)
{
gfp[s*ld3] = sbuf[s];
gfp[s*ld3+1]= sbuf[s+1];
}
gfp+=2;
}
}
}
}
ltfat_free(sbuf);
LTFAT_FFTW(destroy_plan)(p_before);
}
/* wfac for real valued input. Produces only half the output coefficients of wfac_r */
LTFAT_EXTERN void
LTFAT_NAME(wfacreal)(const LTFAT_REAL *g, const ltfatInt L, const ltfatInt R,
const ltfatInt a, const ltfatInt M,
LTFAT_COMPLEX *gf)
{
ltfatInt h_a, h_m;
//LTFAT_REAL *gfp;
LTFAT_COMPLEX *gfp = gf;
ltfatInt s;
ltfatInt rem, negrem;
LTFAT_FFTW(plan) p_before;
const ltfatInt b=L/M;
const ltfatInt c=gcd(a, M,&h_a, &h_m);
const ltfatInt p=a/c;
const ltfatInt q=M/c;
const ltfatInt d=b/p;
/* This is a floor operation. */
const ltfatInt d2= d/2+1;
const double sqrtM=sqrt(M);
LTFAT_REAL *sbuf = (LTFAT_REAL*)ltfat_malloc(d*sizeof(LTFAT_REAL));
LTFAT_COMPLEX *cbuf = (LTFAT_COMPLEX*)ltfat_malloc(d2*sizeof(LTFAT_COMPLEX));
/* Create plan. In-place. */
p_before = LTFAT_FFTW(plan_dft_r2c_1d)(d, sbuf, cbuf, FFTW_MEASURE);
// const ltfatInt ld3=2*c*p*q*R;
const ltfatInt ld3=c*p*q*R;
//gfp=(LTFAT_REAL*)gf;
for (ltfatInt r=0; r<c; r++)
{
for (ltfatInt w=0; w<R; w++)
{
for (ltfatInt l=0; l<q; l++)
{
for (ltfatInt k=0; k<p; k++)
{
negrem = positiverem(k*M-l*a,L);
for (s=0; s<d; s++)
{
rem = (negrem+s*p*M)%L;
sbuf[s] = sqrtM*g[r+rem+L*w];
}
LTFAT_FFTW(execute)(p_before);
for (s=0; s<d2; s++)
{
gfp[s*ld3] = cbuf[s];
}
gfp++;
}
}
}
}
LTFAT_SAFEFREEALL(sbuf,cbuf);
LTFAT_FFTW(destroy_plan)(p_before);
}
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