itkMathSVD.h File Reference

#include "itkMacro.h"
#include "itkEigenDecompositionSignConvention.h"
#include "vnl/vnl_matrix.h"
#include "vnl/vnl_matrix_fixed.h"
#include "vnl/vnl_vector.h"
#include "vnl/vnl_vector_fixed.h"
#include "itk_eigen.h"
#include <ITK_EIGEN(Dense)>
#include <limits>
#include <type_traits>

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Classes
struct	itk::Math::FixedRectangularSVDResult< TReal, VRows, VCols >
struct	itk::Math::FixedSquareSVDResult< TReal, VDim >
struct	itk::Math::SVDResult< TReal >

Namespaces
namespace	itk
namespace	itk::Math
namespace	itk::Math::detail

Macros
#define	ITK_MATH_SVD_EXTERN_FIXED(D)
#define	ITK_MATH_SVD_FIXED_DIMS(F)
#define	ITKCommon_EXPORT_EXPLICIT   ITKCommon_EXPORT

Functions
template<typename TVector>
auto	itk::Math::detail::DeterminantMagnitude (const TVector &W) -> std::decay_t< decltype(W[0])>
template<typename TReal>
void	itk::Math::detail::DynamicSquareSVDEigen (const TReal *inData, unsigned int n, TReal *uData, TReal *wData, TReal *vData)
template void	itk::Math::detail::DynamicSquareSVDEigen< double > (const double *, unsigned int, double *, double *, double *)
template void	itk::Math::detail::DynamicSquareSVDEigen< float > (const float *, unsigned int, float *, float *, float *)
template<typename TVector, typename TReal>
unsigned int	itk::Math::detail::NumericalRank (const TVector &W, TReal rcond)
template<typename TMatrixU, typename TVector, typename TMatrixV, typename TReal>
auto	itk::Math::detail::PseudoInverse (const TMatrixU &U, const TVector &W, const TMatrixV &V, TReal rcond)
template<typename TMatrixU, typename TVector, typename TMatrixV, typename TReal>
auto	itk::Math::detail::Recompose (const TMatrixU &U, const TVector &W, const TMatrixV &V, TReal rcond)
template<typename TMatrixU, typename TVector, typename TMatrixV>
auto	itk::Math::detail::RecomposeWith (const TMatrixU &U, const TVector &modifiedW, const TMatrixV &V)
template<typename TReal>
void	itk::Math::detail::RectangularSVDEigen (const TReal *inData, unsigned int rows, unsigned int cols, TReal *uData, TReal *wData, TReal *vData)
template void	itk::Math::detail::RectangularSVDEigen< double > (const double *, unsigned int, unsigned int, double *, double *, double *)
template void	itk::Math::detail::RectangularSVDEigen< float > (const float *, unsigned int, unsigned int, float *, float *, float *)
template<typename TReal>
TReal	itk::Math::detail::ResolveRcond (TReal rcond, unsigned int n)
template<typename TMatrixU, typename TVector, typename TMatrixV, typename TVectorB, typename TReal>
auto	itk::Math::detail::SolveLinear (const TMatrixU &U, const TVector &W, const TMatrixV &V, const TVectorB &b, TReal rcond)
template<unsigned int VDim, typename TReal>
void	itk::Math::detail::SquareSVDEigen (const TReal *inData, TReal *uData, TReal *wData, TReal *vData)
template<typename TReal, unsigned int VDim>
FixedSquareSVDResult< TReal, VDim >	itk::Math::SVD (const Matrix< TReal, VDim, VDim > &A, bool canonicalizeSigns=true)
template<typename TReal, unsigned int VRows, unsigned int VCols, typename = std::enable_if_t<VRows != VCols>>
FixedRectangularSVDResult< TReal, VRows, VCols >	itk::Math::SVD (const Matrix< TReal, VRows, VCols > &A, bool canonicalizeSigns=true)
template<typename TReal>
SVDResult< TReal >	itk::Math::SVD (const vnl_matrix< TReal > &A, bool canonicalizeSigns=true)
template<typename TReal, unsigned int VDim>
FixedSquareSVDResult< TReal, VDim >	itk::Math::SVD (const vnl_matrix_fixed< TReal, VDim, VDim > &A, bool canonicalizeSigns=true)
template<typename TReal, unsigned int VRows, unsigned int VCols, typename = std::enable_if_t<VRows != VCols>>
FixedRectangularSVDResult< TReal, VRows, VCols >	itk::Math::SVD (const vnl_matrix_fixed< TReal, VRows, VCols > &A, bool canonicalizeSigns=true)
template<typename TVector>
auto	itk::Math::detail::WellCondition (const TVector &W) -> std::decay_t< decltype(W[0])>

Variables
constexpr unsigned int	itk::Math::detail::kFixedSVDMaxDim = 16
constexpr unsigned int	itk::Math::detail::kJacobiMaxDim = 6

Macro Definition Documentation

ITK_MATH_SVD_EXTERN_FIXED

#define ITK_MATH_SVD_EXTERN_FIXED

(

D

)

Value:

  extern template ITKCommon_EXPORT_EXPLICIT void SquareSVDEigen<D, float>(const float *, float *, float *, float *); \
  extern template ITKCommon_EXPORT_EXPLICIT void SquareSVDEigen<D, double>(                                          \
    const double *, double *, double *, double *);

Definition at line 521 of file itkMathSVD.h.

ITK_MATH_SVD_FIXED_DIMS

#define ITK_MATH_SVD_FIXED_DIMS

(

F

)

Value:

F(1) F(2) F(3) F(4) F(5) F(6)

Definition at line 514 of file itkMathSVD.h.

ITKCommon_EXPORT_EXPLICIT

#define ITKCommon_EXPORT_EXPLICIT   ITKCommon_EXPORT

Definition at line 511 of file itkMathSVD.h.

Referenced by itk::Math::detail::DynamicSquareSVDEigen< double >(), itk::Math::detail::DynamicSquareSVDEigen< float >(), itk::Math::detail::RectangularSVDEigen< double >(), and itk::Math::detail::RectangularSVDEigen< float >().