PolarDecompose.h File Reference

#include <sofa/defaulttype/Mat.h>

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Namespaces
namespace	sofa
	Main SOFA namespace.
namespace	sofa::helper
	Utility helper classes that we need, but that are not the core of the plateform.
Functions
template<class Real >
void	sofa::helper::adjoint_transpose (const defaulttype::Mat< 3, 3, Real > &M, defaulttype::Mat< 3, 3, Real > &MadjT)
	Set MadjT to transpose of inverse of M times determinant of M.
template<class Real >
Real	sofa::helper::norm_inf (const defaulttype::Mat< 3, 3, Real > &M)
	Compute the infinity norm of M.
template<class Real >
Real	sofa::helper::norm_one (const defaulttype::Mat< 3, 3, Real > &M)
	Compute the 1 norm of M.
template<class Real >
int	sofa::helper::find_max_col (const defaulttype::Mat< 3, 3, Real > &M)
	Return index of column of M containing maximum abs entry, or -1 if M=0.
template<class Real >
void	sofa::helper::make_reflector (const defaulttype::Vec< 3, Real > &v, defaulttype::Vec< 3, Real > &u)
	Setup u for Household reflection to zero all v components but first.
template<class Real >
void	sofa::helper::reflect_cols (defaulttype::Mat< 3, 3, Real > &M, const defaulttype::Vec< 3, Real > &u)
	Apply Householder reflection represented by u to column vectors of M.
template<class Real >
void	sofa::helper::reflect_rows (defaulttype::Mat< 3, 3, Real > &M, const defaulttype::Vec< 3, Real > &u)
	Apply Householder reflection represented by u to row vectors of M.
template<class Real >
void	sofa::helper::do_rank1 (defaulttype::Mat< 3, 3, Real > &M, defaulttype::Mat< 3, 3, Real > &Q)
	Find orthogonal factor Q of rank 1 (or less) M.
template<class Real >
void	sofa::helper::do_rank2 (defaulttype::Mat< 3, 3, Real > &M, defaulttype::Mat< 3, 3, Real > &MadjT, defaulttype::Mat< 3, 3, Real > &Q)
	Find orthogonal factor Q of rank 2 (or less) M using adjoint transpose.
template<class Real >
Real	sofa::helper::polar_decomp (const defaulttype::Mat< 3, 3, Real > &M, defaulttype::Mat< 3, 3, Real > &Q, defaulttype::Mat< 3, 3, Real > &S)