Represents a possibly non uniform scaling transformation. More...

#include <Scaling.h>

Public Types
enum	{ Dim = _Dim }
typedef Matrix< Scalar, Dim, Dim >	LinearMatrixType
typedef _Scalar	Scalar
typedef Transform< Scalar, Dim >	TransformType
typedef Translation< Scalar, Dim >	TranslationType
typedef Matrix< Scalar, Dim, 1 >	VectorType
Public Member Functions
template<typename NewScalarType >
internal::cast_return_type < Scaling, Scaling < NewScalarType, Dim > >::type	cast () const
const VectorType &	coeffs () const
VectorType &	coeffs ()
Scaling	inverse () const
bool	isApprox (const Scaling &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const
Scaling	operator* (const Scaling &other) const
TransformType	operator* (const TranslationType &t) const
TransformType	operator* (const TransformType &t) const
LinearMatrixType	operator* (const LinearMatrixType &other) const
template<typename Derived >
LinearMatrixType	operator* (const RotationBase< Derived, Dim > &r) const
VectorType	operator* (const VectorType &other) const
Scaling &	operator= (const Scaling &other)
	Scaling ()
	Scaling (const Scalar &s)
	Scaling (const Scalar &sx, const Scalar &sy)
	Scaling (const Scalar &sx, const Scalar &sy, const Scalar &sz)
	Scaling (const VectorType &coeffs)
template<typename OtherScalarType >
	Scaling (const Scaling< OtherScalarType, Dim > &other)
Protected Attributes
VectorType	m_coeffs
Friends
LinearMatrixType	operator* (const LinearMatrixType &other, const Scaling &s)

Detailed Description

template<typename _Scalar, int _Dim>
class Scaling< _Scalar, _Dim >

Represents a possibly non uniform scaling transformation.

Represents a generic uniform scaling transformation.

Parameters:

_Scalar	the scalar type, i.e., the type of the coefficients.
_Dim	the dimension of the space, can be a compile time value or Dynamic

Note:: This class is not aimed to be used to store a scaling transformation, but rather to make easier the constructions and updates of Transform objects.

See also:: class Translation, class Transform

Parameters:

_Scalar the scalar type, i.e., the type of the coefficients.

This class represent a uniform scaling transformation. It is the return type of Scaling(Scalar), and most of the time this is the only way it is used. In particular, this class is not aimed to be used to store a scaling transformation, but rather to make easier the constructions and updates of Transform objects.

To represent an axis aligned scaling, use the DiagonalMatrix class.

See also:: Scaling(), class DiagonalMatrix, MatrixBase::asDiagonal(), class Translation, class Transform

Definition at line 43 of file Eigen2Support/Geometry/Scaling.h.

Member Typedef Documentation

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,Dim> Scaling< _Scalar, _Dim >::LinearMatrixType

corresponding linear transformation matrix type

Definition at line 54 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

typedef _Scalar Scaling< _Scalar, _Dim >::Scalar

the scalar type of the coefficients

Definition at line 50 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

typedef Transform<Scalar,Dim> Scaling< _Scalar, _Dim >::TransformType

corresponding affine transformation type

Definition at line 58 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

typedef Translation<Scalar,Dim> Scaling< _Scalar, _Dim >::TranslationType

corresponding translation type

Definition at line 56 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,1> Scaling< _Scalar, _Dim >::VectorType

corresponding vector type

Definition at line 52 of file Eigen2Support/Geometry/Scaling.h.

Member Enumeration Documentation

template<typename _Scalar, int _Dim>

anonymous enum

dimension of the space

Enumerator:

Dim

Definition at line 48 of file Eigen2Support/Geometry/Scaling.h.

Constructor & Destructor Documentation

template<typename _Scalar, int _Dim>

Scaling< _Scalar, _Dim >::Scaling ( ) [inline]

Default constructor without initialization.

Definition at line 67 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling< _Scalar, _Dim >::Scaling ( const Scalar & s ) [inline, explicit]

Constructs and initialize a uniform scaling transformation

Definition at line 69 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling< _Scalar, _Dim >::Scaling	(	const Scalar &	sx,
		const Scalar &	sy
	)		`[inline]`

2D only

Definition at line 71 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling< _Scalar, _Dim >::Scaling	(	const Scalar &	sx,
		const Scalar &	sy,
		const Scalar &	sz
	)		`[inline]`

3D only

Definition at line 78 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling< _Scalar, _Dim >::Scaling ( const VectorType & coeffs ) [inline, explicit]

Constructs and initialize the scaling transformation from a vector of scaling coefficients

Definition at line 86 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

template<typename OtherScalarType >

Scaling< _Scalar, _Dim >::Scaling ( const Scaling< OtherScalarType, Dim > & other ) [inline, explicit]

Copy constructor with scalar type conversion

Definition at line 140 of file Eigen2Support/Geometry/Scaling.h.

Member Function Documentation

template<typename _Scalar, int _Dim>

template<typename NewScalarType >

internal::cast_return_type<Scaling,Scaling<NewScalarType,Dim> >::type Scaling< _Scalar, _Dim >::cast ( ) const [inline]

Returns:: *this with scalar type casted to NewScalarType

Note that if NewScalarType is equal to the current scalar type of *this then this function smartly returns a const reference to *this.

Definition at line 135 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

const VectorType& Scaling< _Scalar, _Dim >::coeffs ( ) const [inline]

Definition at line 88 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

VectorType& Scaling< _Scalar, _Dim >::coeffs ( ) [inline]

Definition at line 89 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling Scaling< _Scalar, _Dim >::inverse ( void ) const [inline]

Returns:: the inverse scaling

Definition at line 120 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

bool Scaling< _Scalar, _Dim >::isApprox	(	const Scaling< _Scalar, _Dim > &	other,
		typename NumTraits< Scalar >::Real	prec = `precision<Scalar>()`
	)		const `[inline]`

Returns:: true if *this is approximately equal to other, within the precision determined by prec.

See also:: MatrixBase::isApprox()

Definition at line 147 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling Scaling< _Scalar, _Dim >::operator* ( const Scaling< _Scalar, _Dim > & other ) const [inline]

Concatenates two scaling

Definition at line 92 of file Eigen2Support/Geometry/Scaling.h.

template<typename Scalar , int Dim>

Scaling< Scalar, Dim >::TransformType Scaling< Scalar, Dim >::operator* ( const TranslationType & t ) const [inline]

Concatenates a scaling and a translation

Definition at line 162 of file Eigen2Support/Geometry/Scaling.h.

template<typename Scalar , int Dim>

Scaling< Scalar, Dim >::TransformType Scaling< Scalar, Dim >::operator* ( const TransformType & t ) const [inline]

Concatenates a scaling and an affine transformation

Definition at line 174 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

LinearMatrixType Scaling< _Scalar, _Dim >::operator* ( const LinearMatrixType & other ) const [inline]

Concatenates a scaling and a linear transformation matrix

Definition at line 103 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

template<typename Derived >

LinearMatrixType Scaling< _Scalar, _Dim >::operator* ( const RotationBase< Derived, Dim > & r ) const [inline]

Definition at line 112 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

VectorType Scaling< _Scalar, _Dim >::operator* ( const VectorType & other ) const [inline]

Applies scaling to vector

Definition at line 116 of file Eigen2Support/Geometry/Scaling.h.

template<typename _Scalar, int _Dim>

Scaling& Scaling< _Scalar, _Dim >::operator= ( const Scaling< _Scalar, _Dim > & other ) [inline]

Definition at line 123 of file Eigen2Support/Geometry/Scaling.h.

Friends And Related Function Documentation

template<typename _Scalar, int _Dim>

LinearMatrixType operator*	(	const LinearMatrixType &	other,
		const Scaling< _Scalar, _Dim > &	s
	)		`[friend]`

Concatenates a linear transformation matrix and a scaling

Definition at line 108 of file Eigen2Support/Geometry/Scaling.h.

Member Data Documentation

template<typename _Scalar, int _Dim>

VectorType Scaling< _Scalar, _Dim >::m_coeffs [protected]

Definition at line 62 of file Eigen2Support/Geometry/Scaling.h.

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

Eigen2Support/Geometry/Scaling.h

Public Types

Public Member Functions

Protected Attributes

Friends

Detailed Description

template<typename _Scalar, int _Dim> class Scaling< _Scalar, _Dim >

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

template<typename _Scalar, int _Dim>
class Scaling< _Scalar, _Dim >