MR.AffineXf3d Struct Reference

affine transformation: y = A*x + b, where A in VxV, and b in V Generated from class MR.AffineXf3d. This is the by-value version of the struct. More...

Inheritance diagram for MR.AffineXf3d:

Public Member Functions
	AffineXf3d (AffineXf3d _other)
	Generated copy constructor.
unsafe	AffineXf3d ()
	Constructs an empty (default-constructed) instance.
unsafe	AffineXf3d (in MR.Matrix3d A, in MR.Vector3d b)
	Generated from constructor MR.AffineXf3d.AffineXf3d.
readonly unsafe MR.Vector3d	call (in MR.Vector3d x)
	application of the transformation to a point Generated from method MR.AffineXf3d.operator().
readonly unsafe MR.Vector3d	linearOnly (in MR.Vector3d x)
	applies only linear part of the transformation to given vector (e.g. to normal) skipping adding shift (b) for example if this is a rigid transformation, then only rotates input vector Generated from method MR.AffineXf3d.linearOnly.
readonly unsafe MR.AffineXf3d	inverse ()
	computes inverse transformation Generated from method MR.AffineXf3d.inverse.
bool	Equals (MR.AffineXf3d b)
override bool	Equals (object? other)

Static Public Member Functions
static implicit	operator AffineXf3d (ConstBox_AffineXf3d other)
	Copy contents from a wrapper class to this struct.
static unsafe MR.AffineXf3d	translation (in MR.Vector3d b)
	creates translation-only transformation (with identity linear component) Generated from method MR.AffineXf3d.translation.
static unsafe MR.AffineXf3d	linear (in MR.Matrix3d A)
	creates linear-only transformation (without translation) Generated from method MR.AffineXf3d.linear.
static unsafe MR.AffineXf3d	xfAround (in MR.Matrix3d A, in MR.Vector3d stable)
	creates transformation with given linear part with given stable point Generated from method MR.AffineXf3d.xfAround.
static unsafe MR.AffineXf3d	operator* (MR.AffineXf3d u, in MR.AffineXf3d v)
	composition of two transformations: \( y = (u * v) ( x ) = u( v( x ) ) = ( u.A * ( v.A * x + v.b ) + u.b ) = ( u.A * v.A ) * x + ( u.A * v.b + u.b ) \) Generated from function MR.operator*.
static unsafe bool	operator== (MR.AffineXf3d a, MR.AffineXf3d b)
	Generated from function MR.operator==.
static unsafe bool	operator!= (MR.AffineXf3d a, MR.AffineXf3d b)

Public Attributes
MR.Matrix3d	a
MR.Vector3d	b

Detailed Description

affine transformation: y = A*x + b, where A in VxV, and b in V Generated from class MR.AffineXf3d. This is the by-value version of the struct.

Constructor & Destructor Documentation

AffineXf3d() [1/3]

MR.AffineXf3d.AffineXf3d ( AffineXf3d _other )

inline

Generated copy constructor.

AffineXf3d() [2/3]

unsafe MR.AffineXf3d.AffineXf3d ( )

inline

Constructs an empty (default-constructed) instance.

AffineXf3d() [3/3]

unsafe MR.AffineXf3d.AffineXf3d ( in MR.Matrix3d A, in MR.Vector3d b )

inline

Generated from constructor MR.AffineXf3d.AffineXf3d.

Member Function Documentation

call()

readonly unsafe MR.Vector3d MR.AffineXf3d.call ( in MR.Vector3d x )

inline

application of the transformation to a point Generated from method MR.AffineXf3d.operator().

Equals() [1/2]

bool MR.AffineXf3d.Equals ( MR.AffineXf3d b )

inline

Equals() [2/2]

override bool MR.AffineXf3d.Equals ( object? other )

inline

inverse()

readonly unsafe MR.AffineXf3d MR.AffineXf3d.inverse ( )

inline

computes inverse transformation Generated from method MR.AffineXf3d.inverse.

linear()

static unsafe MR.AffineXf3d MR.AffineXf3d.linear ( in MR.Matrix3d A )

inlinestatic

creates linear-only transformation (without translation) Generated from method MR.AffineXf3d.linear.

linearOnly()

readonly unsafe MR.Vector3d MR.AffineXf3d.linearOnly ( in MR.Vector3d x )

inline

applies only linear part of the transformation to given vector (e.g. to normal) skipping adding shift (b) for example if this is a rigid transformation, then only rotates input vector Generated from method MR.AffineXf3d.linearOnly.

operator AffineXf3d()

static implicit MR.AffineXf3d.operator AffineXf3d ( ConstBox_AffineXf3d other )

static

Copy contents from a wrapper class to this struct.

operator!=()

static unsafe bool MR.AffineXf3d.operator!= ( MR.AffineXf3d a, MR.AffineXf3d b )

inlinestatic

operator*()

static unsafe MR.AffineXf3d MR.AffineXf3d.operator* ( MR.AffineXf3d u, in MR.AffineXf3d v )

inlinestatic

composition of two transformations: \( y = (u * v) ( x ) = u( v( x ) ) = ( u.A * ( v.A * x + v.b ) + u.b ) = ( u.A * v.A ) * x + ( u.A * v.b + u.b ) \) Generated from function MR.operator*.

operator==()

static unsafe bool MR.AffineXf3d.operator== ( MR.AffineXf3d a, MR.AffineXf3d b )

inlinestatic

Generated from function MR.operator==.

translation()

static unsafe MR.AffineXf3d MR.AffineXf3d.translation ( in MR.Vector3d b )

inlinestatic

creates translation-only transformation (with identity linear component) Generated from method MR.AffineXf3d.translation.

xfAround()

static unsafe MR.AffineXf3d MR.AffineXf3d.xfAround ( in MR.Matrix3d A, in MR.Vector3d stable )

inlinestatic

creates transformation with given linear part with given stable point Generated from method MR.AffineXf3d.xfAround.

Member Data Documentation

a

MR.Matrix3d MR.AffineXf3d.a

b

MR.Vector3d MR.AffineXf3d.b

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

• MRAffineXf.cs