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/* */
/* Copyright 2011-2012 by Markus Nullmeier and 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, */
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/* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR */
/* OTHER DEALINGS IN THE SOFTWARE. */
/* */
/************************************************************************/
#ifndef VIGRA_COORDINATE_ITERATOR_HXX
#define VIGRA_COORDINATE_ITERATOR_HXX
#include <complex>
#include "tuple.hxx"
#include "accessor.hxx"
#include "tinyvector.hxx"
#include "numerictraits.hxx"
#include "multi_iterator.hxx"
#include "multi_array.hxx"
namespace vigra {
template<unsigned N>
struct StridePair
{
typedef typename MultiArrayShape<N>::type index_type;
typedef TinyVector<double, N> coord_type;
typedef coord_type deref_type;
typedef StridePair type;
typedef StridePair stride_type;
typedef TinyVector<type, N> stride_array_type;
typedef TinyVector<index_type, N> shape_array_type;
typedef shape_array_type shape_type;
index_type index;
coord_type coord;
StridePair(const index_type & i) : index(i), coord(i) {}
StridePair(const coord_type & c) : index(), coord(c) {}
StridePair(const index_type & i, const coord_type & c)
: index (i), coord(c) {}
StridePair( MultiArrayIndex i, const coord_type & c)
: index(index_type(i)), coord(c) {}
StridePair() {}
// use just the coordinates for further processing ...
const coord_type & operator*() const
{
return this->coord;
}
void operator+=(const StridePair & x)
{
index += x.index;
coord += x.coord;
}
void operator-=(const StridePair & x)
{
index -= x.index;
coord -= x.coord;
}
StridePair operator+(const StridePair & x)
{
StridePair ret = *this;
ret += x;
return ret;
}
StridePair operator-(const StridePair & x)
{
StridePair ret = *this;
ret -= x;
return ret;
}
StridePair operator*(const StridePair & x)
{
StridePair ret = *this;
ret.index *= x.index;
ret.coord *= x.coord;
return ret;
}
StridePair operator/(const StridePair & x)
{
StridePair ret = *this;
ret.index /= x.index;
ret.coord /= x.coord;
return ret;
}
MultiArrayIndex & idx0()
{
return index[0];
}
const index_type & idx() const
{
return index;
}
double & dim0()
{
return coord[0];
}
double dim0() const
{
return coord[0];
}
};
template<unsigned M>
struct NumericTraits<StridePair<M> >
: public NumericTraits<typename StridePair<M>::index_type>
{};
template<unsigned N>
struct StridePairCoord : public TinyVector<double, N>
{
typedef TinyVector<double, N> entry_type;
StridePairCoord(const entry_type & c) : entry_type(c) {}
StridePairCoord() {}
double & dim0()
{
return (*this)[0];
}
double dim0() const
{
return (*this)[0];
}
};
template<unsigned M>
struct NumericTraits<StridePairCoord<M> >
: public NumericTraits<typename StridePairCoord<M>::entry_type>
{};
template<unsigned N>
struct StridePairDiff : public StridePairCoord<N>
{
MultiArrayIndex c;
typedef StridePairCoord<N> base_type;
StridePairDiff(MultiArrayIndex c_, const base_type & x)
: base_type(x), c(c_) {}
StridePairDiff(const base_type & x)
: base_type(x), c(0) {}
StridePairDiff(const TinyVector<double, N> & x)
: base_type(x), c(0) {}
StridePairDiff(const TinyVector<MultiArrayIndex, N> & x)
: base_type(x), c(0) {}
StridePairDiff() : c(0) {}
const base_type & base() const
{
return *this;
}
StridePairDiff operator*(const StridePairDiff & x)
{
StridePairDiff ret = base() * x.base();
ret.c = c * x.c;
return ret;
}
};
template<unsigned M>
struct NumericTraits<StridePairDiff<M> >
: public NumericTraits<StridePairCoord<M> >
{};
template<unsigned N, class T>
struct StridePairPointer : public StridePairCoord<N>
{
typedef const T* index_type;
typedef StridePairCoord<N> coord_type;
typedef typename coord_type::entry_type coord_num_type;
typedef StridePairPointer type;
typedef type deref_type;
typedef StridePairDiff<N> stride_type;
typedef TinyVector<stride_type, N> stride_array_type;
typedef typename MultiArrayShape<N>::type shape_array_type;
typedef shape_array_type shape_type;
index_type index;
StridePairPointer(const index_type & i, const coord_type & c)
: coord_type(c), index(i) {}
const type & operator*() const
{
return *this;
}
const T & value() const
{
return *index;
}
const coord_type & coord() const
{
return *this;
}
index_type & idx0()
{
return index;
}
const index_type & idx() const
{
return index;
}
void operator+=(stride_type x)
{
index += x.c;
coord_type::operator+=(x);
}
void operator-=(stride_type x)
{
index -= x.c;
coord_type::operator-=(x);
}
};
template<unsigned M, class T>
struct NumericTraits<StridePairPointer<M, T> >
: public NumericTraits<typename StridePairPointer<M, T>::coord_type>
{};
namespace detail {
template<class T, bool is_complex = NumericTraits<T>::isComplex::value,
bool is_vector = !NumericTraits<T>::isScalar::value>
struct weighted_abs
{
static double get(const T & x)
{
return x;
}
};
template<class T>
struct weighted_abs<T, true, false>
{
static double get(const T & x)
{
using std::abs;
return abs(x);
}
};
template<class T, bool is_complex>
struct weighted_abs<T, is_complex, true>
{
static double get(const T & x)
{
return x.magnitude();
}
};
template<class T>
struct accumulable_coord_access;
template<class T>
struct accumulable_value_access;
template<class T>
struct accumulable_weighted_access;
template<unsigned N, class T>
struct accumulable_coord_access<StridePairPointer<N, T> >
{
typedef StridePairPointer<N, T> accumulable_type;
typedef typename accumulable_type::coord_num_type type;
static const type & get(const accumulable_type & v) { return v.coord(); }
};
template<unsigned N, class T>
struct accumulable_value_access<StridePairPointer<N, T> >
{
typedef StridePairPointer<N, T> accumulable_type;
typedef T type;
static const type & get(const accumulable_type & v) { return v.value(); }
};
template<unsigned N, class T>
struct accumulable_weighted_access<StridePairPointer<N, T> >
{
typedef StridePairPointer<N, T> accumulable_type;
typedef typename accumulable_type::coord_num_type type;
static type get(const accumulable_type & v)
{
return weighted_abs<T>::get(v.value()) * v.coord();
}
};
template<class X>
void dismember(X & r, const X & x, unsigned i)
{
r[i] = x[i];
}
template<unsigned N>
void dismember(StridePair<N> & r, const StridePair<N> & x, unsigned i)
{
r.index[i] = x.index[i];
r.coord[i] = x.coord[i];
}
template<unsigned N>
void dismember(StridePairDiff<N> & r, const StridePairDiff<N> & x, unsigned i)
{
r.c = static_cast<MultiArrayIndex>(r[i] = x[i]);
}
template<unsigned N, class X>
TinyVector<X, N>
dismember(const X & x)
{
TinyVector<X, N> ret;
for (unsigned i = 0; i != N; ++i)
dismember(ret[i], x, i);
return ret;
}
template<unsigned N>
TinyVector<StridePairDiff<N>, N>
dismember(const TinyVector<MultiArrayIndex, N> & x,
const StridePairCoord<N> & y)
{
typedef StridePairDiff<N> type;
TinyVector<type, N> ret;
for (unsigned i = 0; i != N; ++i)
{
ret[i].c = x[i];
ret[i][i] = y[i];
}
return ret;
}
} // namespace detail
// A fake "pointer" for MultiIterator containing coordinates.
// Indices (or a pointer) cannot be circumvented in coordiante iterators,
// since floating point addition is not associative and
// iterator comparison is done via via '<' or '!='. Class CoordinateStride
// thus forwards iterator comparison to the index or pointer part
// of its template parameter S.
template<unsigned N, class S = StridePair<N> >
class CoordinateStride : protected S
{
public:
typedef MultiArrayIndex difference_type;
typedef typename S::stride_type stride_type;
typedef typename S::deref_type deref_type;
typedef CoordinateStride<N> type;
typedef typename S::coord_type coord_type;
typedef typename S::index_type index_type;
typedef typename S::shape_array_type shape_array_type;
protected:
double stride_0;
CoordinateStride(void*) {} // used MultiIterator ctor, unused.
public:
CoordinateStride(const S & x, double s0)
: S(x), stride_0(s0) {}
#ifndef DOXYGEN
using S::operator*;
using S::idx0;
using S::idx;
using S::dim0;
using S::operator+=;
using S::operator-=;
#endif
void operator++()
{
++idx0();
dim0() += stride_0;
}
void operator--()
{
--idx0();
dim0() -= stride_0;
}
void operator+=(difference_type n)
{
idx0() += n;
dim0() += n * stride_0;
}
void operator-=(difference_type n)
{
idx0() -= n;
dim0() -= n * stride_0;
}
stride_type operator[](difference_type n) const
{
type ret = *this;
ret[0] += n;
return ret;
}
stride_type operator[](stride_type x) const
{
return *this + x;
}
// ... but use the idx() for comparisons:
bool operator!=(const CoordinateStride & y) const
{
return idx() != y.idx();
}
bool operator==(const CoordinateStride & y) const
{
if (stride_0 != y.stride_0)
return false;
return idx() == y.idx();
}
bool operator<(const CoordinateStride & y) const
{
return idx() < y.idx();
}
bool operator<=(const CoordinateStride & y) const
{
if (stride_0 == y.stride_0)
return true;
return *this < y;
}
bool operator>(const CoordinateStride & y) const
{
return y < *this;
}
bool operator>=(const CoordinateStride & y) const
{
if (stride_0 == y.stride_0)
return true;
return operator>(y);
}
friend std::ostream &
operator<<(std::ostream & os, const CoordinateStride & x)
{
os << "{" << x.stride_0 << ": " << static_cast<const S &>(x) << "}";
return os;
}
typedef MultiIterator<N, deref_type, const deref_type &, CoordinateStride>
iterator_type;
};
template <unsigned N, class S>
struct MultiIteratorStrideTraits<CoordinateStride<N, S> >
{
typedef typename S::stride_type stride_type;
typedef typename S::stride_array_type stride_array_type;
typedef typename S::shape_array_type shape_array_type;
static stride_array_type shift(const stride_array_type & s, unsigned d)
{
stride_array_type ret;
for (unsigned i = d; i != N; ++i)
ret[i - d] = s[i];
return ret;
}
};
template <unsigned N>
struct CoordinateMultiIterator : public CoordinateStride<N>::iterator_type
{
typedef CoordinateStride<N> ptr_type;
typedef typename ptr_type::iterator_type base_type;
typedef typename ptr_type::stride_type stride_type;
typedef typename ptr_type::shape_array_type shape_array_type;
typedef typename ptr_type::coord_type coord_type;
typedef typename ptr_type::index_type index_type;
CoordinateMultiIterator(const stride_type & origin,
const stride_type & stride,
const index_type & shape)
: base_type(ptr_type(origin, stride.dim0()),
detail::dismember<N>(stride),
detail::dismember<N>(shape)) {}
CoordinateMultiIterator(const base_type & x) : base_type(x) {}
};
namespace detail {
template<unsigned N>
struct CoordinateMultiRangeReturns
{
typedef CoordinateMultiIterator<N> iterator_type;
typedef typename iterator_type::coord_type coord_type;
typedef StridePair<N> pair_type;
typedef typename pair_type::type stride_type;
typedef typename pair_type::stride_array_type stride_array_type;
typedef typename AccessorTraits<coord_type>::default_const_accessor
access_type;
typedef triple<iterator_type, stride_array_type, access_type> type;
};
} // namespace detail
template <unsigned N>
typename detail::CoordinateMultiRangeReturns<N>::type
coordinateMultiRange(const typename MultiArrayShape<N>::type & shape,
const TinyVector<double, N> & stride
= TinyVector<double, N>(1.0),
const TinyVector<double, N> & origin
= TinyVector<double, N>(0.0))
{
typedef typename
detail::CoordinateMultiRangeReturns<N>::stride_type stride_type;
typedef typename
detail::CoordinateMultiRangeReturns<N>::access_type access_type;
return typename detail::CoordinateMultiRangeReturns<N>::type
(CoordinateMultiIterator<N>(stride_type(0, origin),
stride_type(1, stride),
shape),
detail::dismember<N>(stride_type(shape)),
access_type());
}
template <unsigned N, class T>
struct CombinedMultiIterator
: public CoordinateStride<N, StridePairPointer<N, T> >::iterator_type
{
typedef StridePairPointer<N, T> pair_type;
typedef CoordinateStride<N, pair_type> ptr_type;
typedef typename ptr_type::iterator_type base_type;
typedef typename ptr_type::stride_type stride_type;
typedef typename ptr_type::coord_type coord_type;
typedef typename pair_type::shape_array_type shape_array_type;
CombinedMultiIterator(const T* raw_pointer,
const stride_type & origin,
const TinyVector<MultiArrayIndex, N> & pointer_stride,
const stride_type & stride,
const shape_array_type & shape)
: base_type(ptr_type(pair_type(raw_pointer, origin), stride.dim0()),
detail::dismember<N>(pointer_stride, stride),
shape) {}
CombinedMultiIterator(const base_type & x) : base_type(x) {}
};
template<unsigned N, class T>
struct SrcCoordinateMultiArrayRangeReturns
{
typedef CombinedMultiIterator<N, T> iterator_type;
typedef typename iterator_type::coord_type coord_type;
typedef typename iterator_type::pair_type pair_type;
typedef typename iterator_type::ptr_type ptr_type;
typedef typename ptr_type::deref_type deref_type;
typedef typename iterator_type::stride_type stride_type;
typedef typename pair_type::stride_array_type stride_array_type;
typedef typename pair_type::shape_array_type shape_array_type;
typedef typename AccessorTraits<deref_type>::default_const_accessor
access_type;
typedef triple<iterator_type, stride_array_type, access_type> type;
};
// work around GCC 4.4.3 template argument deduction bug:
template<unsigned N>
struct CoordinateSteps
{
typedef const TinyVector<double, N> & type;
};
template <unsigned int N, class T, class StrideTag>
inline typename SrcCoordinateMultiArrayRangeReturns<N, T>::type
srcCoordinateMultiArrayRange(const MultiArrayView<N, T, StrideTag> & array,
typename CoordinateSteps<N>::type stride
= TinyVector<double, N>(1.0),
typename CoordinateSteps<N>::type origin
= TinyVector<double, N>(0.0))
{
typedef SrcCoordinateMultiArrayRangeReturns<N, T> returns;
typedef typename returns::type type;
typedef typename returns::stride_type stride_type;
typedef typename returns::access_type access_type;
typedef typename returns::iterator_type iterator_type;
typedef typename returns::shape_array_type shape_array_type;
shape_array_type shape = array.shape();
return type(iterator_type(array.traverser_begin().get(),
stride_type(origin),
array.stride(),
stride_type(stride),
shape),
detail::dismember<N>(stride_type(shape)),
access_type());
}
template <class VALUETYPE, class COORD>
struct AccessorCoordinatePair
{
typedef VALUETYPE value_type;
typedef COORD coord_type;
typedef AccessorCoordinatePair type;
value_type v;
const coord_type & c;
AccessorCoordinatePair(const value_type & v_, const coord_type & c_)
: v(v_), c(c_) {}
const value_type & value() const
{
return v;
}
const coord_type & coord() const
{
return c;
}
};
/** \brief Forward accessor to the value() part of the values an iterator
points to.
CoordinateConstValueAccessor is a accessor that forwards
the underlying accessor's operator() read functions.
It passes its arguments <em>by value</em>.
<b>\#include</b> \<vigra/coordinate_iterator.hxx\><br>
Namespace: vigra
*/
template <class Accessor, class COORD>
class CoordinateConstValueAccessor
{
public:
typedef typename Accessor::value_type forward_type;
typedef AccessorCoordinatePair<forward_type, COORD> value_type;
Accessor a;
CoordinateConstValueAccessor(const Accessor & a_) : a(a_) {}
/** Read the current data item.
*/
template <class ITERATOR>
value_type operator()(ITERATOR const & i) const
{
const typename ITERATOR::value_type & x = *i;
return value_type(a(&x.value()), x.coord());
}
/** Read the data item at an offset.
*/
template <class ITERATOR, class DIFFERENCE>
value_type operator()(ITERATOR const & i, DIFFERENCE const & diff) const
{
const typename ITERATOR::value_type & x = i[diff];
return value_type(a(&x.value()), x.coord());
}
};
template<unsigned N, class T, class Accessor>
struct SrcCoordinateMultiArrayRangeAccessorReturns
{
typedef CombinedMultiIterator<N, T> iterator_type;
typedef typename iterator_type::coord_type coord_type;
typedef typename iterator_type::pair_type pair_type;
typedef typename iterator_type::ptr_type ptr_type;
typedef typename ptr_type::deref_type deref_type;
typedef typename iterator_type::stride_type stride_type;
typedef typename pair_type::stride_array_type stride_array_type;
typedef typename pair_type::shape_array_type shape_array_type;
typedef CoordinateConstValueAccessor<Accessor, coord_type> access_type;
typedef triple<iterator_type, stride_array_type, access_type> type;
};
template <unsigned int N, class T, class StrideTag, class Access>
inline typename SrcCoordinateMultiArrayRangeAccessorReturns<N, T, Access>::type
srcCoordinateMultiArrayRangeAccessor(const MultiArrayView<N, T, StrideTag> &
array,
Access a,
typename CoordinateSteps<N>::type stride
= TinyVector<double, N>(1.0),
typename CoordinateSteps<N>::type origin
= TinyVector<double, N>(0.0))
{
typedef SrcCoordinateMultiArrayRangeAccessorReturns<N, T, Access> returns;
typedef typename returns::type type;
typedef typename returns::stride_type stride_type;
typedef typename returns::access_type access_type;
typedef typename returns::iterator_type iterator_type;
typedef typename returns::shape_array_type shape_array_type;
shape_array_type shape = array.shape();
return type(iterator_type(array.traverser_begin().get(),
stride_type(origin),
array.stride(),
stride_type(stride),
shape),
detail::dismember<N>(stride_type(shape)),
access_type(a));
}
} // namespace vigra
namespace std {
template <unsigned N>
ostream &
operator<<(ostream & os, const vigra::StridePair<N> & x)
{
os << "[" << x.index << ", " << x.coord << "]";
return os;
}
template <unsigned N>
ostream &
operator<<(ostream & os, const vigra::StridePairDiff<N> & x)
{
os << "<" << x.c << "; "
<< static_cast<vigra::StridePairCoord<N> >(x) << ">";
return os;
}
template <unsigned N, class T>
ostream &
operator<<(ostream & os, const vigra::StridePairPointer<N, T> & x)
{
os << "[" << x.value() << ", " << x.coord() << "]";
return os;
}
template <class VALUETYPE, class COORD>
ostream &
operator<<(ostream & os,
const vigra::AccessorCoordinatePair<VALUETYPE, COORD> & x)
{
os << "[" << x.value() << ", " << x.coord() << "]";
return os;
}
} // namespace std
#endif // VIGRA_COORDINATE_ITERATOR_HXX
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