HardEigen.cpp File Reference

Implementations of the numerically-careful Eigen primitives declared in HardEigen.hpp (pseudoinverses, symmetric eigen decompositions, condition-number helpers). More...

#include "HardEigen.hpp"
#include <iostream>

Include dependency graph for HardEigen.cpp:

Go to the source code of this file.

Namespaces
namespace	DNDS
	the host side operators are provided as implemented
namespace	DNDS::HardEigen

Functions
real	DNDS::HardEigen::EigenLeastSquareInverse (const Eigen::MatrixXd &A, Eigen::MatrixXd &AI, real svdTol=0)
	Moore-Penrose pseudoinverse via SVD, dropping singular values below svdTol (relative to the largest). Returns the largest / smallest ratio (condition number).
real	DNDS::HardEigen::EigenLeastSquareInverse_Filtered (const Eigen::MatrixXd &A, Eigen::MatrixXd &AI, real svdTol=0, int mode=0)
	Pseudoinverse with a choice of singular-value filter.
Eigen::Matrix3d	DNDS::HardEigen::Eigen3x3RealSymEigenDecomposition (const Eigen::Matrix3d &A)
	Analytic eigen-decomposition of a 3x3 real symmetric matrix. Returns the eigenvector matrix (columns = eigenvectors, scaled so that diagonal == eigenvalues).
Eigen::Matrix2d	DNDS::HardEigen::Eigen2x2RealSymEigenDecomposition (const Eigen::Matrix2d &A)
	Analytic 2x2 analogue of Eigen3x3RealSymEigenDecomposition.
real	DNDS::HardEigen::Eigen2x2RealSymEigenDecompositionGetCond (const Eigen::Matrix2d &A)
	2x2 analogue of Eigen3x3RealSymEigenDecompositionGetCond.
real	DNDS::HardEigen::Eigen3x3RealSymEigenDecompositionGetCond (const Eigen::Matrix3d &A)
	Condition number of a 3x3 SPD matrix from its eigenvalues.
real	DNDS::HardEigen::Eigen3x3RealSymEigenDecompositionGetCond01 (const Eigen::Matrix3d &A)
	Like Eigen3x3RealSymEigenDecompositionGetCond but returns lambda0 / lambda1 only (ignores the smallest eigenvalue).
Eigen::Matrix3d	DNDS::HardEigen::Eigen3x3RealSymEigenDecompositionNormalized (const Eigen::Matrix3d &A)
	Eigen-decomposition with eigenvector columns normalised to unit length.
Eigen::Matrix2d	DNDS::HardEigen::Eigen2x2RealSymEigenDecompositionNormalized (const Eigen::Matrix2d &A)
	2x2 analogue of Eigen3x3RealSymEigenDecompositionNormalized.
Eigen::Index	DNDS::HardEigen::EigenLeastSquareSolve (const Eigen::MatrixXd &A, const Eigen::MatrixXd &B, Eigen::MatrixXd &AIB)
	Least-squares solve A * AIB ~= B via a rank-revealing QR-style decomposition; returns the computed rank of A.

Detailed Description

Implementations of the numerically-careful Eigen primitives declared in HardEigen.hpp (pseudoinverses, symmetric eigen decompositions, condition-number helpers).

Definition in file HardEigen.cpp.