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#include "ltfat.h"
#include "ltfat_types.h"
#define CH(name) LTFAT_COMPLEXH(name)
#define POSTPROC_REAL \
for (ltfatInt n=0;n<N*W;n+=2) \
{ \
for (ltfatInt m=0;m<M;m+=2) \
{ \
pcoef[m]=CH(creal)(pcoef2[m])+CH(cimag)(pcoef2[m]); \
pcoef[m+M]=CH(creal)(pcoef2[m+M2])-CH(cimag)(pcoef2[m+M2]); \
} \
\
for (ltfatInt m=1;m<M;m+=2) \
{ \
pcoef[m]=CH(creal)(pcoef2[m])-CH(cimag)(pcoef2[m]); \
pcoef[m+M]=CH(creal)(pcoef2[m+M2])+CH(cimag)(pcoef2[m+M2]); \
} \
\
pcoef+=M2; \
pcoef2+=M4; \
}
#define POSTPROC_COMPLEX \
for (ltfatInt n=0;n<N*W;n+=2) \
{ \
for (ltfatInt m=0;m<M;m+=2) \
{ \
pcoef[m] = scalconst*(emipi4*pcoef2[m] +eipi4*pcoef2[M2-1-m]); \
pcoef[m+M] = scalconst*(eipi4*pcoef2[m+M2]+emipi4*pcoef2[M4-1-m]); \
} \
\
for (ltfatInt m=1;m<M;m+=2) \
{ \
pcoef[m] = scalconst*(eipi4*pcoef2[m] +emipi4*pcoef2[M2-1-m]); \
pcoef[m+M]=scalconst*(emipi4*pcoef2[m+M2]+eipi4*pcoef2[M4-1-m]); \
} \
\
pcoef+=M2; \
pcoef2+=M4; \
}
#define PREPROC \
for(ltfatInt n=0;n<L;n++) \
f2[n] = (LTFAT_COMPLEX) cexp(-PI*I*n/(2.0*M)); \
for(ltfatInt w=W-1;w>=0;w--) \
for(ltfatInt n=0;n<L;n++) \
f2[n+w*L] = f2[n]*f[n+w*L];
LTFAT_EXTERN void
LTFAT_NAME_COMPLEX(dwiltiii_long)(const LTFAT_COMPLEX *f, const LTFAT_COMPLEX *g,
const ltfatInt L, const ltfatInt W,
const ltfatInt M, LTFAT_COMPLEX *cout)
{
const ltfatInt N = L / M;
const ltfatInt M2 = 2 * M;
const ltfatInt M4 = 4 * M;
const LTFAT_REAL scalconst = 1.0 / sqrt(2.0);
const LTFAT_COMPLEX eipi4 = cexp(I * PI / 4.0);
const LTFAT_COMPLEX emipi4 = cexp(-I * PI / 4.0);
LTFAT_COMPLEX *coef2 = ltfat_malloc(2 * M * N * W * sizeof * coef2);
LTFAT_COMPLEX *f2 = ltfat_malloc(L * W * sizeof * f2);
PREPROC
LTFAT_NAME_COMPLEX(dgt_long)(f2, g, L, W, M, 2 * M, FREQINV, coef2);
LTFAT_COMPLEX *pcoef = cout;
LTFAT_COMPLEX *pcoef2 = coef2;
POSTPROC_COMPLEX
LTFAT_SAFEFREEALL(coef2, f2);
}
LTFAT_EXTERN void
LTFAT_NAME_REAL(dwiltiii_long)(const LTFAT_REAL *f, const LTFAT_REAL *g,
const ltfatInt L, const ltfatInt W,
const ltfatInt M, LTFAT_REAL *cout)
{
const ltfatInt N = L / M;
const ltfatInt M2 = 2 * M;
const ltfatInt M4 = 4 * M;
LTFAT_COMPLEX *coef2 = ltfat_malloc(2 * M * N * W * sizeof * coef2);
LTFAT_COMPLEX *f2 = ltfat_malloc(L * W * sizeof * f2);
LTFAT_COMPLEX *g2 = ltfat_malloc(L * sizeof * g2);
// Real to complex
for (ltfatInt ii = 0; ii < L; ii++)
g2[ii] = g[ii];
PREPROC
LTFAT_NAME_COMPLEX(dgt_long)(f2, g2, L, W, M, 2 * M, FREQINV, coef2);
LTFAT_REAL *pcoef = cout;
LTFAT_COMPLEX *pcoef2 = coef2;
POSTPROC_REAL
LTFAT_SAFEFREEALL(coef2, f2, g2);
}
LTFAT_EXTERN void
LTFAT_NAME_COMPLEX(dwiltiii_fb)(const LTFAT_COMPLEX *f, const LTFAT_COMPLEX *g,
const ltfatInt L, const ltfatInt gl,
const ltfatInt W, const ltfatInt M,
LTFAT_COMPLEX *cout)
{
const ltfatInt N = L / M;
const ltfatInt M2 = 2 * M;
const ltfatInt M4 = 4 * M;
const LTFAT_REAL scalconst = 1.0 / sqrt(2.0);
const LTFAT_COMPLEX eipi4 = cexp(I * PI / 4.0);
const LTFAT_COMPLEX emipi4 = cexp(-I * PI / 4.0);
LTFAT_COMPLEX *coef2 = ltfat_malloc(2 * M * N * W * sizeof * coef2);
LTFAT_COMPLEX *f2 = ltfat_malloc(L * W * sizeof * f2);
PREPROC
/* coef2=comp_dgt(f,g,a,2*M,L); */
LTFAT_NAME_COMPLEX(dgt_fb)(f2, g, L, gl, W, M, 2 * M, FREQINV, coef2);
LTFAT_COMPLEX *pcoef = cout;
LTFAT_COMPLEX *pcoef2 = coef2;
POSTPROC_COMPLEX
LTFAT_SAFEFREEALL(coef2, f2);
}
LTFAT_EXTERN void
LTFAT_NAME_REAL(dwiltiii_fb)(const LTFAT_REAL *f, const LTFAT_REAL *g,
const ltfatInt L, const ltfatInt gl,
const ltfatInt W, const ltfatInt M,
LTFAT_REAL *cout)
{
const ltfatInt N = L / M;
const ltfatInt M2 = 2 * M;
const ltfatInt M4 = 4 * M;
LTFAT_COMPLEX *coef2 = ltfat_malloc(2 * M * N * W * sizeof * coef2);
LTFAT_COMPLEX *f2 = ltfat_malloc(L * W * sizeof * f2);
LTFAT_COMPLEX *g2 = ltfat_malloc(gl * sizeof * g2);
//Real to complex
for (ltfatInt ii = 0; ii < gl; ii++)
g2[ii] = g[ii];
PREPROC
LTFAT_NAME_COMPLEX(dgt_fb)(f2, g2, L, gl, W, M, 2 * M, FREQINV, coef2);
LTFAT_REAL* pcoef = cout;
LTFAT_COMPLEX* pcoef2 = coef2;
POSTPROC_REAL
LTFAT_SAFEFREEALL(coef2, f2, g2);
}
#undef CH
#undef POSTPROC_REAL
#undef POSTPROC_COMPLEX
#undef PREPROC
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