Numeric and Promote Traits of FFTWComplex

The numeric and promote traits for fftw_complex and FFTWComplex follow the general specifications for Numeric and Promotion Traits and AlgebraicField. They are explicitly specialized for the types involved:

template<>
struct NumericTraits<fftw_complex>
{
    typedef fftw_complex Promote;
    typedef fftw_complex RealPromote;
    typedef fftw_complex ComplexPromote;
    typedef fftw_real    ValueType;

    typedef VigraFalseType isIntegral;
    typedef VigraFalseType isScalar;
    typedef VigraFalseType isOrdered;
    typedef VigraTrueType  isComplex;

    // etc.
};

template<class Real>
struct NumericTraits<FFTWComplex<Real> >
{
    typedef FFTWComplex<Real> Promote;
    typedef FFTWComplex<Real> RealPromote;
    typedef FFTWComplex<Real> ComplexPromote;
    typedef Real              ValueType;

    typedef VigraFalseType isIntegral;
    typedef VigraFalseType isScalar;
    typedef VigraFalseType isOrdered;
    typedef VigraTrueType  isComplex;

    // etc.
};

template<>
struct NormTraits<fftw_complex>
{
    typedef fftw_complex Type;
    typedef fftw_real    SquaredNormType;
    typedef fftw_real    NormType;
};

template<class Real>
struct NormTraits<FFTWComplex>
{
    typedef FFTWComplex Type;
    typedef fftw_real   SquaredNormType;
    typedef fftw_real   NormType;
};

template <>
struct PromoteTraits<fftw_complex, fftw_complex>
{
    typedef fftw_complex Promote;
};

template <>
struct PromoteTraits<fftw_complex, double>
{
    typedef fftw_complex Promote;
};

template <>
struct PromoteTraits<double, fftw_complex>
{
    typedef fftw_complex Promote;
};

template <class Real>
struct PromoteTraits<FFTWComplex<Real>, FFTWComplex<Real> >
{
    typedef FFTWComplex<Real> Promote;
};

template <class Real>
struct PromoteTraits<FFTWComplex<Real>, double>
{
    typedef FFTWComplex<Real> Promote;
};

template <class Real>
struct PromoteTraits<double, FFTWComplex<Real> >
{
    typedef FFTWComplex<Real> Promote;
};

#include <vigra/fftw3.hxx> (for FFTW 3) or
#include <vigra/fftw.hxx> (for deprecated FFTW 2)
Namespace: vigra