MR.Const_SymMatrix3d Class Reference

symmetric 3x3 matrix Generated from class MR.SymMatrix3d. This is the const half of the class. More...

Inheritance diagram for MR.Const_SymMatrix3d:

Classes
struct	_Underlying

Public Member Functions
virtual void	Dispose ()
unsafe	Const_SymMatrix3d ()
	Constructs an empty (default-constructed) instance.
unsafe	Const_SymMatrix3d (MR.Const_SymMatrix3d _other)
	Generated from constructor MR.SymMatrix3d.SymMatrix3d.
	Const_SymMatrix3d (SymMatrix3d _other)
	Generated from constructor MR.SymMatrix3d.SymMatrix3d.
unsafe double	trace ()
	computes trace of the matrix Generated from method MR.SymMatrix3d.trace.
unsafe double	normSq ()
	computes the squared norm of the matrix, which is equal to the sum of 9 squared elements Generated from method MR.SymMatrix3d.normSq.
unsafe double	det ()
	computes determinant of the matrix Generated from method MR.SymMatrix3d.det.
unsafe MR.SymMatrix3d	inverse ()
	computes inverse matrix Generated from method MR.SymMatrix3d.inverse.
unsafe MR.SymMatrix3d	inverse (double det)
	computes inverse matrix given determinant of this Generated from method MR.SymMatrix3d.inverse.
unsafe MR.Vector3d	eigens (MR.Misc.InOut< MR.Matrix3d >? eigenvectors=null)
	returns eigenvalues of the matrix in ascending order (diagonal matrix L), and optionally returns corresponding unit eigenvectors in the rows of orthogonal matrix V, M*V^T = V^T*L; M = V^T*L*V Generated from method MR.SymMatrix3d.eigens.
unsafe MR.Vector3d	eigenvector (double eigenvalue)
	computes not-unit eigenvector corresponding to a not-repeating eigenvalue Generated from method MR.SymMatrix3d.eigenvector.
unsafe MR.SymMatrix3d	pseudoinverse (double? tol=null, MR.Misc.InOut< int >? rank=null, MR.Misc.InOut< MR.Vector3d >? space=null)
	for not-degenerate matrix returns just inverse matrix, otherwise returns degenerate matrix, which performs inversion on not-kernel subspace;

Static Public Member Functions
static unsafe MR.SymMatrix3d	identity ()
	Generated from method MR.SymMatrix3d.identity.
static unsafe MR.SymMatrix3d	diagonal (double diagVal)
	Generated from method MR.SymMatrix3d.diagonal.

Protected Member Functions
virtual unsafe void	Dispose (bool disposing)

Protected Attributes
unsafe double *	__ref_storage_xx
unsafe double *	__ref_storage_xy
unsafe double *	__ref_storage_xz
unsafe double *	__ref_storage_yy
unsafe double *	__ref_storage_yz
unsafe double *	__ref_storage_zz

Properties
unsafe double	xx [get]
	zero matrix by default
unsafe double	xy [get]
	zero matrix by default
unsafe double	xz [get]
	zero matrix by default
unsafe double	yy [get]
	zero matrix by default
unsafe double	yz [get]
	zero matrix by default
unsafe double	zz [get]
	zero matrix by default

Detailed Description

symmetric 3x3 matrix Generated from class MR.SymMatrix3d. This is the const half of the class.

Constructor & Destructor Documentation

Const_SymMatrix3d() [1/3]

unsafe MR.Const_SymMatrix3d.Const_SymMatrix3d ( )

inline

Constructs an empty (default-constructed) instance.

Const_SymMatrix3d() [2/3]

unsafe MR.Const_SymMatrix3d.Const_SymMatrix3d ( MR.Const_SymMatrix3d _other )

inline

Generated from constructor MR.SymMatrix3d.SymMatrix3d.

Const_SymMatrix3d() [3/3]

MR.Const_SymMatrix3d.Const_SymMatrix3d ( SymMatrix3d _other )

inline

Generated from constructor MR.SymMatrix3d.SymMatrix3d.

Member Function Documentation

det()

unsafe double MR.Const_SymMatrix3d.det ( )

inline

computes determinant of the matrix Generated from method MR.SymMatrix3d.det.

diagonal()

unsafe MR.SymMatrix3d MR.Const_SymMatrix3d.diagonal ( double diagVal )

inlinestatic

Generated from method MR.SymMatrix3d.diagonal.

Dispose() [1/2]

virtual void MR.Const_SymMatrix3d.Dispose ( )

inlinevirtual

Dispose() [2/2]

virtual unsafe void MR.Const_SymMatrix3d.Dispose ( bool disposing )

inlineprotectedvirtual

eigens()

unsafe MR.Vector3d MR.Const_SymMatrix3d.eigens ( MR.Misc.InOut< MR.Matrix3d >? eigenvectors = null )

inline

returns eigenvalues of the matrix in ascending order (diagonal matrix L), and optionally returns corresponding unit eigenvectors in the rows of orthogonal matrix V, M*V^T = V^T*L; M = V^T*L*V Generated from method MR.SymMatrix3d.eigens.

eigenvector()

unsafe MR.Vector3d MR.Const_SymMatrix3d.eigenvector ( double eigenvalue )

inline

computes not-unit eigenvector corresponding to a not-repeating eigenvalue Generated from method MR.SymMatrix3d.eigenvector.

identity()

unsafe MR.SymMatrix3d MR.Const_SymMatrix3d.identity ( )

inlinestatic

Generated from method MR.SymMatrix3d.identity.

inverse() [1/2]

unsafe MR.SymMatrix3d MR.Const_SymMatrix3d.inverse ( )

inline

computes inverse matrix Generated from method MR.SymMatrix3d.inverse.

inverse() [2/2]

unsafe MR.SymMatrix3d MR.Const_SymMatrix3d.inverse ( double det )

inline

computes inverse matrix given determinant of this Generated from method MR.SymMatrix3d.inverse.

normSq()

unsafe double MR.Const_SymMatrix3d.normSq ( )

inline

computes the squared norm of the matrix, which is equal to the sum of 9 squared elements Generated from method MR.SymMatrix3d.normSq.

pseudoinverse()

unsafe MR.SymMatrix3d MR.Const_SymMatrix3d.pseudoinverse ( double? tol = null, MR.Misc.InOut< int >? rank = null, MR.Misc.InOut< MR.Vector3d >? space = null )

inline

for not-degenerate matrix returns just inverse matrix, otherwise returns degenerate matrix, which performs inversion on not-kernel subspace;

Parameters

tol	relative epsilon-tolerance for too small number detection
rank	optional output for this matrix rank according to given tolerance
space	rank=1: unit direction of solution line, rank=2: unit normal to solution plane, rank=3: zero vector Generated from method MR.SymMatrix3d.pseudoinverse. Parameter tol defaults to std::numeric_limits<double>::epsilon().

trace()

unsafe double MR.Const_SymMatrix3d.trace ( )

inline

computes trace of the matrix Generated from method MR.SymMatrix3d.trace.

Member Data Documentation

__ref_storage_xx

unsafe double* MR.Const_SymMatrix3d.__ref_storage_xx

protected

__ref_storage_xy

unsafe double* MR.Const_SymMatrix3d.__ref_storage_xy

protected

__ref_storage_xz

unsafe double* MR.Const_SymMatrix3d.__ref_storage_xz

protected

__ref_storage_yy

unsafe double* MR.Const_SymMatrix3d.__ref_storage_yy

protected

__ref_storage_yz

unsafe double* MR.Const_SymMatrix3d.__ref_storage_yz

protected

__ref_storage_zz

unsafe double* MR.Const_SymMatrix3d.__ref_storage_zz

protected

Property Documentation

xx

unsafe double MR.Const_SymMatrix3d.xx

get

zero matrix by default

xy

unsafe double MR.Const_SymMatrix3d.xy

get

zero matrix by default

xz

unsafe double MR.Const_SymMatrix3d.xz

get

zero matrix by default

yy

unsafe double MR.Const_SymMatrix3d.yy

get

zero matrix by default

yz

unsafe double MR.Const_SymMatrix3d.yz

get

zero matrix by default

zz

unsafe double MR.Const_SymMatrix3d.zz

get

zero matrix by default

---

The documentation for this class was generated from the following file:

• MRSymMatrix3.cs