/usr/include/vigra/rfftw.hxx is in libvigraimpex-dev 1.10.0+dfsg-11ubuntu2.
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/* */
/* Copyright 1998-2002 by Ullrich Koethe */
/* */
/* This file is part of the VIGRA computer vision library. */
/* The VIGRA Website is */
/* http://hci.iwr.uni-heidelberg.de/vigra/ */
/* Please direct questions, bug reports, and contributions to */
/* ullrich.koethe@iwr.uni-heidelberg.de or */
/* vigra@informatik.uni-hamburg.de */
/* */
/* Permission is hereby granted, free of charge, to any person */
/* obtaining a copy of this software and associated documentation */
/* files (the "Software"), to deal in the Software without */
/* restriction, including without limitation the rights to use, */
/* copy, modify, merge, publish, distribute, sublicense, and/or */
/* sell copies of the Software, and to permit persons to whom the */
/* Software is furnished to do so, subject to the following */
/* conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the */
/* Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES */
/* OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND */
/* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT */
/* HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, */
/* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING */
/* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR */
/* OTHER DEALINGS IN THE SOFTWARE. */
/* */
/************************************************************************/
#ifndef VIGRA_RFFTW_HXX
#define VIGRA_RFFTW_HXX
#include "array_vector.hxx"
#include "fftw.hxx"
#include <rfftw.h>
namespace vigra {
namespace detail {
struct FFTWSinCosConfig
{
ArrayVector<fftw_real> twiddles;
ArrayVector<fftw_real> fftwInput;
ArrayVector<fftw_complex> fftwTmpResult;
fftw_real norm;
rfftwnd_plan fftwPlan;
};
template <class SrcIterator, class SrcAccessor,
class DestIterator, class DestAccessor,
class Config>
void
cosineTransformLineImpl(SrcIterator s, SrcIterator send, SrcAccessor src,
DestIterator d, DestAccessor dest,
Config & config)
{
int size = send - s;
int ns2 = size / 2;
int nm1 = size - 1;
int modn = size % 2;
if(size <= 0)
return;
fftw_real const * twiddles = config.twiddles.begin();
fftw_real * fftwInput = config.fftwInput.begin();
fftw_complex * fftwTmpResult = config.fftwTmpResult.begin();
fftw_real norm = config.norm;
rfftwnd_plan fftwPlan = config.fftwPlan;
switch(size)
{
case 1:
{
dest.set(src(s) / norm, d);
break;
}
case 2:
{
dest.set((src(s) + src(s, 1)) / norm, d);
dest.set((src(s) - src(s, 1)) / norm, d, 1);
break;
}
case 3:
{
fftw_real x1p3 = src(s) + src(s, 2);
fftw_real tx2 = 2.0 * src(s, 1);
dest.set((x1p3 + tx2) / norm, d, 0);
dest.set((src(s) - src(s, 2)) / norm, d, 1);
dest.set((x1p3 - tx2) / norm, d, 2);
break;
}
default:
{
fftw_real c1 = src(s) - src(s, nm1);
fftwInput[0] = src(s) + src(s, nm1);
for(int k=1; k<ns2; ++k)
{
int kc = nm1 - k;
fftw_real t1 = src(s, k) + src(s, kc);
fftw_real t2 = src(s, k) - src(s, kc);
c1 = c1 + twiddles[kc] * t2;
t2 = twiddles[k] * t2;
fftwInput[k] = t1 - t2;
fftwInput[kc] = t1 + t2;
}
if (modn != 0)
{
fftwInput[ns2] = 2.0*src(s, ns2);
}
rfftwnd_one_real_to_complex(fftwPlan, fftwInput, fftwTmpResult);
dest.set(fftwTmpResult[0].re / norm, d, 0);
for(int k=1; k<(size+1)/2; ++k)
{
dest.set(fftwTmpResult[k].re, d, 2*k-1);
dest.set(fftwTmpResult[k].im, d, 2*k);
}
fftw_real xim2 = dest(d, 1);
dest.set(c1 / norm, d, 1);
for(int k=3; k<size; k+=2)
{
fftw_real xi = dest(d, k);
dest.set(dest(d, k-2) - dest(d, k-1) / norm, d, k);
dest.set(xim2 / norm, d, k-1);
xim2 = xi;
}
if (modn != 0)
{
dest.set(xim2 / norm, d, size-1);
}
}
}
}
} // namespace detail
template <class SrcTraverser, class SrcAccessor,
class DestTraverser, class DestAccessor>
void cosineTransformX(SrcTraverser sul, SrcTraverser slr, SrcAccessor src,
DestTraverser dul, DestAccessor dest, fftw_real norm)
{
int w = slr.x - sul.x;
int h = slr.y - sul.y;
detail::FFTWSinCosConfig config;
// horizontal transformation
int ns2 = w / 2;
int nm1 = w - 1;
int modn = w % 2;
config.twiddles.resize(w+1);
config.fftwInput.resize(w+1);
config.fftwTmpResult.resize(w+1);
config.norm = norm;
config.fftwPlan = rfftw2d_create_plan(1, nm1, FFTW_REAL_TO_COMPLEX, FFTW_ESTIMATE );
fftw_real dt = M_PI / nm1;
for(int k=1; k<ns2; ++k)
{
fftw_real f = dt * k;
config.twiddles[k] = 2.0*VIGRA_CSTD::sin(f);
config.twiddles[nm1-k] = 2.0*VIGRA_CSTD::cos(f);
}
for(; sul.y != slr.y; ++sul.y, ++dul.y)
{
typename SrcTraverser::row_iterator s = sul.rowIterator();
typename SrcTraverser::row_iterator send = s + w;
typename DestTraverser::row_iterator d = dul.rowIterator();
cosineTransformLineImpl(s, send, src, d, dest, config);
}
rfftwnd_destroy_plan(config.fftwPlan);
}
template <class SrcTraverser, class SrcAccessor,
class DestTraverser, class DestAccessor>
void cosineTransformY(SrcTraverser sul, SrcTraverser slr, SrcAccessor src,
DestTraverser dul, DestAccessor dest, fftw_real norm)
{
int w = slr.x - sul.x;
int h = slr.y - sul.y;
detail::FFTWSinCosConfig config;
// horizontal transformation
int ns2 = h / 2;
int nm1 = h - 1;
int modn = h % 2;
config.twiddles.resize(h + 1);
config.fftwInput.resize(h + 1);
config.fftwTmpResult.resize(h + 1);
config.norm = norm;
config.fftwPlan = rfftw2d_create_plan(1, nm1, FFTW_REAL_TO_COMPLEX, FFTW_ESTIMATE );
fftw_real dt = M_PI / nm1;
for(int k=1; k<ns2; ++k)
{
fftw_real f = dt * k;
config.twiddles[k] = 2.0*VIGRA_CSTD::sin(f);
config.twiddles[nm1-k] = 2.0*VIGRA_CSTD::cos(f);
}
for(; sul.x != slr.x; ++sul.x, ++dul.x)
{
typename SrcTraverser::column_iterator s = sul.columnIterator();
typename SrcTraverser::column_iterator send = s + h;
typename DestTraverser::column_iterator d = dul.columnIterator();
cosineTransformLineImpl(s, send, src, d, dest, config);
}
rfftwnd_destroy_plan(config.fftwPlan);
}
template <class SrcTraverser, class SrcAccessor,
class DestTraverser, class DestAccessor>
inline void
realFourierTransformXEvenYEven(SrcTraverser sul, SrcTraverser slr, SrcAccessor src,
DestTraverser dul, DestAccessor dest, fftw_real norm)
{
BasicImage<fftw_real> tmp(slr - sul);
cosineTransformX(sul, slr, src, tmp.upperLeft(), tmp.accessor(), 1.0);
cosineTransformY(tmp.upperLeft(), tmp.lowerRight(), tmp.accessor(), dul, dest, norm);
}
template <class SrcTraverser, class SrcAccessor,
class DestTraverser, class DestAccessor>
inline void
realFourierTransformXEvenYEven(triple<SrcTraverser, SrcTraverser, SrcAccessor> src,
pair<DestTraverser, DestAccessor> dest, fftw_real norm)
{
realFourierTransformXEvenYEven(src.first, src.second, src.third, dest.first, dest.second, norm);
}
} // namespace vigra
#endif // VIGRA_RFFTW_HXX
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