arbitrary 3x3 matrix Generated from class MR.Matrix3d. This is the by-value version of the struct. More...

Inheritance diagram for MR.Matrix3d:

Public Member Functions
	Matrix3d (Matrix3d _other)
	Generated copy constructor.

unsafe	Matrix3d ()
	Constructs an empty (default-constructed) instance.

unsafe	Matrix3d (in MR.Vector3d x, in MR.Vector3d y, in MR.Vector3d z)
	initializes matrix from its 3 rows Generated from constructor `MR.Matrix3d.Matrix3d`.

unsafe ref MR.Vector3d	index (int row)
	Generated from method `MR.Matrix3d.operator[]`.

readonly unsafe MR.Vector3d	col (int i)
	column access Generated from method `MR.Matrix3d.col`.

readonly unsafe double	trace ()
	computes trace of the matrix Generated from method `MR.Matrix3d.trace`.

readonly unsafe double	normSq ()
	compute sum of squared matrix elements Generated from method `MR.Matrix3d.normSq`.

readonly unsafe double	norm ()
	Generated from method `MR.Matrix3d.norm`.

readonly unsafe double	det ()
	computes determinant of the matrix Generated from method `MR.Matrix3d.det`.

readonly unsafe MR.Matrix3d	inverse ()
	computes inverse matrix Generated from method `MR.Matrix3d.inverse`.

readonly unsafe MR.Matrix3d	transposed ()
	computes transposed matrix Generated from method `MR.Matrix3d.transposed`.

readonly unsafe MR.Vector3d	toEulerAngles ()
	returns 3 Euler angles, assuming this is a rotation matrix composed as follows: R=R(z)R(y)R(x) Generated from method `MR.Matrix3d.toEulerAngles`.

readonly unsafe MR.Matrix3_Double.QR	qr ()
	decompose this matrix on the product Q*R, where Q is orthogonal and R is upper triangular Generated from method `MR.Matrix3d.qr`.

unsafe ref MR.Matrix3d	addAssign (in MR.Matrix3d b)
	Generated from function `MR.operator+=`.

unsafe ref MR.Matrix3d	subAssign (in MR.Matrix3d b)
	Generated from function `MR.operator-=`.

unsafe ref MR.Matrix3d	mulAssign (double b)
	Generated from function `MR.operator*=`.

unsafe ref MR.Matrix3d	divAssign (double b)
	Generated from function `MR.operator/=`.

bool	Equals (MR.Matrix3d b)

override bool	Equals (object? other)

Static Public Member Functions
static implicit	operator Matrix3d (ConstBox_Matrix3d other)
	Copy contents from a wrapper class to this struct.

static MR.Matrix3d	zero ()
	Generated from method `MR.Matrix3d.zero`.

static MR.Matrix3d	identity ()
	Generated from method `MR.Matrix3d.identity`.

static MR.Matrix3d	scale (double s)
	returns a matrix that scales uniformly Generated from method `MR.Matrix3d.scale`.

static MR.Matrix3d	scale (double sx, double sy, double sz)
	returns a matrix that has its own scale along each axis Generated from method `MR.Matrix3d.scale`.

static unsafe MR.Matrix3d	scale (in MR.Vector3d s)
	Generated from method `MR.Matrix3d.scale`.

static unsafe MR.Matrix3d	rotation (in MR.Vector3d axis, double angle)
	creates matrix representing rotation around given axis on given angle Generated from method `MR.Matrix3d.rotation`.

static unsafe MR.Matrix3d	rotation (in MR.Vector3d from, in MR.Vector3d to)
	creates matrix representing rotation that after application to (from) makes (to) vector Generated from method `MR.Matrix3d.rotation`.

static unsafe MR.Matrix3d	rotationFromEuler (in MR.Vector3d eulerAngles)
	creates matrix representing rotation from 3 Euler angles: R=R(z)R(y)R(x) see more https://en.wikipedia.org/wiki/Euler_angles#Conventions_by_intrinsic_rotations Generated from method `MR.Matrix3d.rotationFromEuler`.

static unsafe MR.Matrix3d	approximateLinearRotationMatrixFromEuler (in MR.Vector3d eulerAngles)
	returns linear by angles approximation of the rotation matrix, which is close to true rotation matrix for small angles Generated from method `MR.Matrix3d.approximateLinearRotationMatrixFromEuler`.

static unsafe MR.Matrix3d	fromRows (in MR.Vector3d x, in MR.Vector3d y, in MR.Vector3d z)
	constructs a matrix from its 3 rows Generated from method `MR.Matrix3d.fromRows`.

static unsafe MR.Matrix3d	fromColumns (in MR.Vector3d x, in MR.Vector3d y, in MR.Vector3d z)
	constructs a matrix from its 3 columns; use this method to get the matrix that transforms basis vectors ( plusX, plusY, plusZ ) into vectors ( x, y, z ) respectively Generated from method `MR.Matrix3d.fromColumns`.

static unsafe bool	operator== (MR.Matrix3d a, MR.Matrix3d b)
	Generated from function `MR.operator==`.

static unsafe bool	operator!= (MR.Matrix3d a, MR.Matrix3d b)

static unsafe MR.Matrix3d	operator+ (MR.Matrix3d a, in MR.Matrix3d b)
	Generated from function `MR.operator+`.

static unsafe MR.Matrix3d	operator- (MR.Matrix3d a, in MR.Matrix3d b)
	Generated from function `MR.operator-`.

static unsafe MR.Matrix3d	operator* (double a, MR.Matrix3d b)
	Generated from function `MR.operator*`.

static unsafe MR.Matrix3d	operator* (MR.Matrix3d b, double a)
	Generated from function `MR.operator*`.

static MR.Matrix3d	operator/ (MR.Matrix3d b, double a)
	Generated from function `MR.operator/`.

static unsafe MR.Vector3d	operator* (MR.Matrix3d a, in MR.Vector3d b)
	x = a * b Generated from function `MR.operator*`.

static unsafe MR.Matrix3d	operator* (MR.Matrix3d a, in MR.Matrix3d b)
	product of two matrices Generated from function `MR.operator*`.

Public Attributes
MR.Vector3d	x
	rows, identity matrix by default

MR.Vector3d	y

MR.Vector3d	z

Properties
readonly unsafe ref readonly MR.Vector3d	this[int row] `[get]`
	row access Generated from method `MR.Matrix3d.operator[]`.

Detailed Description

arbitrary 3x3 matrix Generated from class MR.Matrix3d. This is the by-value version of the struct.

Constructor & Destructor Documentation

◆ Matrix3d() [1/3]

MR.Matrix3d.Matrix3d ( Matrix3d _other )

inline

Generated copy constructor.

◆ Matrix3d() [2/3]

unsafe MR.Matrix3d.Matrix3d ( )

inline

Constructs an empty (default-constructed) instance.

◆ Matrix3d() [3/3]

unsafe MR.Matrix3d.Matrix3d	(	in MR.Vector3d	x,
		in MR.Vector3d	y,
		in MR.Vector3d	z )

inline

initializes matrix from its 3 rows Generated from constructor MR.Matrix3d.Matrix3d.

Member Function Documentation

◆ addAssign()

unsafe ref MR.Matrix3d MR.Matrix3d.addAssign ( in MR.Matrix3d b )

inline

Generated from function MR.operator+=.

◆ approximateLinearRotationMatrixFromEuler()

static unsafe MR.Matrix3d MR.Matrix3d.approximateLinearRotationMatrixFromEuler ( in MR.Vector3d eulerAngles )

inlinestatic

returns linear by angles approximation of the rotation matrix, which is close to true rotation matrix for small angles Generated from method MR.Matrix3d.approximateLinearRotationMatrixFromEuler.

◆ col()

readonly unsafe MR.Vector3d MR.Matrix3d.col ( int i )

inline

column access Generated from method MR.Matrix3d.col.

◆ det()

readonly unsafe double MR.Matrix3d.det ( )

inline

computes determinant of the matrix Generated from method MR.Matrix3d.det.

◆ divAssign()

unsafe ref MR.Matrix3d MR.Matrix3d.divAssign ( double b )

inline

Generated from function MR.operator/=.

◆ Equals() [1/2]

bool MR.Matrix3d.Equals ( MR.Matrix3d b )

inline

◆ Equals() [2/2]

override bool MR.Matrix3d.Equals ( object? other )

inline

◆ fromColumns()

static unsafe MR.Matrix3d MR.Matrix3d.fromColumns	(	in MR.Vector3d	x,
		in MR.Vector3d	y,
		in MR.Vector3d	z )

inlinestatic

constructs a matrix from its 3 columns; use this method to get the matrix that transforms basis vectors ( plusX, plusY, plusZ ) into vectors ( x, y, z ) respectively Generated from method MR.Matrix3d.fromColumns.

◆ fromRows()

static unsafe MR.Matrix3d MR.Matrix3d.fromRows	(	in MR.Vector3d	x,
		in MR.Vector3d	y,
		in MR.Vector3d	z )

inlinestatic

constructs a matrix from its 3 rows Generated from method MR.Matrix3d.fromRows.

◆ identity()

static MR.Matrix3d MR.Matrix3d.identity ( )

inlinestatic

Generated from method MR.Matrix3d.identity.

◆ index()

unsafe ref MR.Vector3d MR.Matrix3d.index ( int row )

inline

Generated from method MR.Matrix3d.operator[].

◆ inverse()

readonly unsafe MR.Matrix3d MR.Matrix3d.inverse ( )

inline

computes inverse matrix Generated from method MR.Matrix3d.inverse.

◆ mulAssign()

unsafe ref MR.Matrix3d MR.Matrix3d.mulAssign ( double b )

inline

Generated from function MR.operator*=.

◆ norm()

readonly unsafe double MR.Matrix3d.norm ( )

inline

Generated from method MR.Matrix3d.norm.

◆ normSq()

readonly unsafe double MR.Matrix3d.normSq ( )

inline

compute sum of squared matrix elements Generated from method MR.Matrix3d.normSq.

◆ operator Matrix3d()

static implicit MR.Matrix3d.operator Matrix3d ( ConstBox_Matrix3d other )

static

Copy contents from a wrapper class to this struct.

◆ operator!=()

static unsafe bool MR.Matrix3d.operator!=	(	MR.Matrix3d	a,
		MR.Matrix3d	b )

inlinestatic

◆ operator*() [1/4]

static unsafe MR.Matrix3d MR.Matrix3d.operator*	(	double	a,
		MR.Matrix3d	b )

inlinestatic

Generated from function MR.operator*.

◆ operator*() [2/4]

static unsafe MR.Matrix3d MR.Matrix3d.operator*	(	MR.Matrix3d	a,
		in MR.Matrix3d	b )

inlinestatic

product of two matrices Generated from function MR.operator*.

◆ operator*() [3/4]

static unsafe MR.Vector3d MR.Matrix3d.operator*	(	MR.Matrix3d	a,
		in MR.Vector3d	b )

inlinestatic

x = a * b Generated from function MR.operator*.

◆ operator*() [4/4]

static unsafe MR.Matrix3d MR.Matrix3d.operator*	(	MR.Matrix3d	b,
		double	a )

inlinestatic

Generated from function MR.operator*.

◆ operator+()

static unsafe MR.Matrix3d MR.Matrix3d.operator+	(	MR.Matrix3d	a,
		in MR.Matrix3d	b )

inlinestatic

Generated from function MR.operator+.

◆ operator-()

static unsafe MR.Matrix3d MR.Matrix3d.operator-	(	MR.Matrix3d	a,
		in MR.Matrix3d	b )

inlinestatic

Generated from function MR.operator-.

◆ operator/()

static MR.Matrix3d MR.Matrix3d.operator/	(	MR.Matrix3d	b,
		double	a )

inlinestatic

Generated from function MR.operator/.

◆ operator==()

static unsafe bool MR.Matrix3d.operator==	(	MR.Matrix3d	a,
		MR.Matrix3d	b )

inlinestatic

Generated from function MR.operator==.

◆ qr()

readonly unsafe MR.Matrix3_Double.QR MR.Matrix3d.qr ( )

inline

decompose this matrix on the product Q*R, where Q is orthogonal and R is upper triangular Generated from method MR.Matrix3d.qr.

◆ rotation() [1/2]

static unsafe MR.Matrix3d MR.Matrix3d.rotation	(	in MR.Vector3d	axis,
		double	angle )

inlinestatic

creates matrix representing rotation around given axis on given angle Generated from method MR.Matrix3d.rotation.

◆ rotation() [2/2]

static unsafe MR.Matrix3d MR.Matrix3d.rotation	(	in MR.Vector3d	from,
		in MR.Vector3d	to )

inlinestatic

creates matrix representing rotation that after application to (from) makes (to) vector Generated from method MR.Matrix3d.rotation.

◆ rotationFromEuler()

static unsafe MR.Matrix3d MR.Matrix3d.rotationFromEuler ( in MR.Vector3d eulerAngles )

inlinestatic

creates matrix representing rotation from 3 Euler angles: R=R(z)*R(y)*R(x) see more https://en.wikipedia.org/wiki/Euler_angles#Conventions_by_intrinsic_rotations Generated from method MR.Matrix3d.rotationFromEuler.

◆ scale() [1/3]

static MR.Matrix3d MR.Matrix3d.scale ( double s )

inlinestatic

returns a matrix that scales uniformly Generated from method MR.Matrix3d.scale.

◆ scale() [2/3]

static MR.Matrix3d MR.Matrix3d.scale	(	double	sx,
		double	sy,
		double	sz )

inlinestatic

returns a matrix that has its own scale along each axis Generated from method MR.Matrix3d.scale.

◆ scale() [3/3]

static unsafe MR.Matrix3d MR.Matrix3d.scale ( in MR.Vector3d s )

inlinestatic

Generated from method MR.Matrix3d.scale.

◆ subAssign()

unsafe ref MR.Matrix3d MR.Matrix3d.subAssign ( in MR.Matrix3d b )

inline

Generated from function MR.operator-=.

◆ toEulerAngles()

readonly unsafe MR.Vector3d MR.Matrix3d.toEulerAngles ( )

inline

returns 3 Euler angles, assuming this is a rotation matrix composed as follows: R=R(z)*R(y)*R(x) Generated from method MR.Matrix3d.toEulerAngles.

◆ trace()

readonly unsafe double MR.Matrix3d.trace ( )

inline

computes trace of the matrix Generated from method MR.Matrix3d.trace.

◆ transposed()

readonly unsafe MR.Matrix3d MR.Matrix3d.transposed ( )

inline

computes transposed matrix Generated from method MR.Matrix3d.transposed.

◆ zero()

static MR.Matrix3d MR.Matrix3d.zero ( )

inlinestatic

Generated from method MR.Matrix3d.zero.

Member Data Documentation

◆ x

MR.Vector3d MR.Matrix3d.x

rows, identity matrix by default

◆ y

MR.Vector3d MR.Matrix3d.y

◆ z

MR.Vector3d MR.Matrix3d.z

Property Documentation

◆ this[int row]

readonly unsafe ref readonly MR.Vector3d MR.Matrix3d.this[int row]

get

row access Generated from method MR.Matrix3d.operator[].

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

MRMatrix3.cs

Public Member Functions

Static Public Member Functions

Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

◆ Matrix3d() [1/3]

◆ Matrix3d() [2/3]

◆ Matrix3d() [3/3]

Member Function Documentation

◆ addAssign()

◆ approximateLinearRotationMatrixFromEuler()

◆ col()

◆ det()

◆ divAssign()

◆ Equals() [1/2]

◆ Equals() [2/2]

◆ fromColumns()

◆ fromRows()

◆ identity()

◆ index()

◆ inverse()

◆ mulAssign()

◆ norm()

◆ normSq()

◆ operator Matrix3d()

◆ operator!=()

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator+()

◆ operator-()

◆ operator/()

◆ operator==()

◆ qr()

◆ rotation() [1/2]

◆ rotation() [2/2]

◆ rotationFromEuler()

◆ scale() [1/3]

◆ scale() [2/3]

◆ scale() [3/3]

◆ subAssign()

◆ toEulerAngles()

◆ trace()

◆ transposed()

◆ zero()

Member Data Documentation

◆ x

◆ y

◆ z

Property Documentation

◆ this[int row]