Linear map with values of type [b]T[/b] in [b]N[/b] variables. More...

#include <LinearMap.h>

Collaboration diagram for LinearMap< T, N >:

Public Member Functions
	LinearMap ()
	Default constructor.
	LinearMap (const FVps< T, N > &rhs)
	Convert from general map.
	LinearMap (const FMatrix< T, N, N > &M)
	Convert from matrix.
	LinearMap (const FVector< T, N > &V)
	Convert from vector.
const LinearFun< T, N > &	getComponent (int n) const
	Get component.
void	setComponent (int, const LinearFun< T, N > &)
	Set component.
LinearFun< T, N > &	operator[] (int)
	Get component.
const LinearFun< T, N > &	operator[] (int) const
	Get Component.
LinearMap	operator+ () const
	Unary plus.
LinearMap	operator- () const
	Unary minus.
LinearMap &	operator*= (const LinearFun< T, N > &rhs)
	Multiply and assign.
LinearMap &	operator/= (const LinearFun< T, N > &rhs)
	Divide and assign.
LinearMap &	operator*= (const T &rhs)
	Multiply and assign.
LinearMap &	operator/= (const T &rhs)
	Divide and assign.
LinearMap &	operator+= (const LinearMap &rhs)
	Add.
LinearMap &	operator-= (const LinearMap &rhs)
	Subtract.
LinearMap &	operator+= (const FVector< T, N > &)
	Add and assign.
LinearMap &	operator-= (const FVector< T, N > &)
	Subtract and assign.
std::istream &	get (std::istream &is)
	Get a LinearMap from stream [b]is[/b].
std::ostream &	put (std::ostream &os) const
	Put a LinearMap to stream [b]os[/b].
LinearMap	inverse () const
	Inverse.
void	identity ()
	Set to identity.
FVector< T, N >	constantTerm (const FVector< T, N > &P) const
	Evaluate map at point [b]P[/b].
FVector< T, N >	constantTerm () const
FMatrix< T, N, N >	linearTerms () const
	Extract linear terms at origin.
LinearMap	substitute (const FMatrix< T, N, N > &rhs) const
	Substitute matrix into map.
LinearMap	substitute (const LinearMap &rhs) const
	Substitute map into map.
LinearMap	substituteInto (const FMatrix< T, N, N > &lhs) const
	Substitute map into matrix.

Protected Attributes
LinearFun< T, N >	data [N]

Detailed Description

template<class T, int N>
class LinearMap< T, N >

Linear map with values of type [b]T[/b] in [b]N[/b] variables.

Definition at line 38 of file LinearMap.h.

Constructor & Destructor Documentation

◆ LinearMap() [1/4]

template<class T, int N>

LinearMap< T, N >::LinearMap ( )

Default constructor.

Definition at line 38 of file LinearMap.hpp.

References data.

Referenced by get(), inverse(), operator*=(), operator*=(), operator+(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), substitute(), substitute(), and substituteInto().

◆ LinearMap() [2/4]

template<class T, int N>

LinearMap< T, N >::LinearMap ( const FVps< T, N > & rhs )

explicit

Convert from general map.

Definition at line 44 of file LinearMap.hpp.

References data.

◆ LinearMap() [3/4]

template<class T, int N>

LinearMap< T, N >::LinearMap ( const FMatrix< T, N, N > & M )

explicit

Convert from matrix.

Definition at line 52 of file LinearMap.hpp.

References data.

◆ LinearMap() [4/4]

template<class T, int N>

LinearMap< T, N >::LinearMap ( const FVector< T, N > & V )

explicit

Convert from vector.

Definition at line 60 of file LinearMap.hpp.

References data.

Member Function Documentation

◆ constantTerm() [1/2]

template<class T, int N>

FVector< T, N > LinearMap< T, N >::constantTerm ( ) const

Evaluate map at origin. This is equivalent to extracting constant part.

Definition at line 235 of file LinearMap.hpp.

References data.

◆ constantTerm() [2/2]

template<class T, int N>

FVector< T, N > LinearMap< T, N >::constantTerm ( const FVector< T, N > & P ) const

Evaluate map at point [b]P[/b].

Definition at line 220 of file LinearMap.hpp.

References data.

Referenced by inverse().

◆ get()

template<class T, int N>

std::istream & LinearMap< T, N >::get ( std::istream & is )

Get a LinearMap from stream [b]is[/b].

Definition at line 168 of file LinearMap.hpp.

References data, get(), and LinearMap().

Referenced by get(), and operator>>().

Here is the call graph for this function:

◆ getComponent()

template<class T, int N>

const LinearFun< T, N > & LinearMap< T, N >::getComponent ( int n ) const

Get component.

Definition at line 66 of file LinearMap.hpp.

References data.

◆ identity()

template<class T, int N>

void LinearMap< T, N >::identity ( )

Set to identity.

Definition at line 214 of file LinearMap.hpp.

◆ inverse()

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::inverse ( ) const

Inverse.

Definition at line 201 of file LinearMap.hpp.

References constantTerm(), FLUMatrix< T, N >::inverse(), LinearMap(), and linearTerms().

Here is the call graph for this function:

◆ linearTerms()

template<class T, int N>

FMatrix< T, N, N > LinearMap< T, N >::linearTerms ( ) const

Extract linear terms at origin.

Definition at line 243 of file LinearMap.hpp.

References data.

Referenced by inverse().

◆ operator*=() [1/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator*= ( const LinearFun< T, N > & rhs )

Multiply and assign.

Definition at line 111 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator*=() [2/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator*= ( const T & rhs )

Multiply and assign.

Definition at line 126 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator+()

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::operator+ ( ) const

Unary plus.

Definition at line 97 of file LinearMap.hpp.

References LinearMap().

Here is the call graph for this function:

◆ operator+=() [1/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator+= ( const FVector< T, N > & rhs )

Add and assign.

Definition at line 154 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator+=() [2/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator+= ( const LinearMap< T, N > & rhs )

Add.

Definition at line 140 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator-()

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::operator- ( ) const

Unary minus.

Definition at line 103 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator-=() [1/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator-= ( const FVector< T, N > & rhs )

Subtract and assign.

Definition at line 161 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator-=() [2/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator-= ( const LinearMap< T, N > & rhs )

Subtract.

Definition at line 147 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator/=() [1/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator/= ( const LinearFun< T, N > & rhs )

Divide and assign.

Definition at line 118 of file LinearMap.hpp.

References data, LinearFun< T, N >::inverse(), and LinearMap().

Here is the call graph for this function:

◆ operator/=() [2/2]

template<class T, int N>

LinearMap< T, N > & LinearMap< T, N >::operator/= ( const T & rhs )

Divide and assign.

Definition at line 133 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ operator[]() [1/2]

template<class T, int N>

LinearFun< T, N > & LinearMap< T, N >::operator[] ( int index )

inline

Get component.

Definition at line 86 of file LinearMap.hpp.

References data.

◆ operator[]() [2/2]

template<class T, int N>

const LinearFun< T, N > & LinearMap< T, N >::operator[] ( int index ) const

inline

Get Component.

Definition at line 91 of file LinearMap.hpp.

References data.

◆ put()

template<class T, int N>

std::ostream & LinearMap< T, N >::put ( std::ostream & os ) const

Put a LinearMap to stream [b]os[/b].

Definition at line 193 of file LinearMap.hpp.

References data.

Referenced by operator<<().

◆ setComponent()

template<class T, int N>

void LinearMap< T, N >::setComponent	(	int	index,
		const LinearFun< T, N > &	value )

Set component.

Definition at line 76 of file LinearMap.hpp.

References data.

◆ substitute() [1/2]

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::substitute ( const FMatrix< T, N, N > & rhs ) const

Substitute matrix into map.

Definition at line 274 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ substitute() [2/2]

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::substitute ( const LinearMap< T, N > & rhs ) const

Substitute map into map.

Definition at line 257 of file LinearMap.hpp.

References data, and LinearMap().

Here is the call graph for this function:

◆ substituteInto()

template<class T, int N>

LinearMap< T, N > LinearMap< T, N >::substituteInto ( const FMatrix< T, N, N > & lhs ) const

Substitute map into matrix.

Definition at line 291 of file LinearMap.hpp.

References data, and LinearMap().

Referenced by operator*().

Here is the call graph for this function:

Member Data Documentation

◆ data

template<class T, int N>

LinearFun<T, N> LinearMap< T, N >::data[N]

protected

Definition at line 146 of file LinearMap.h.

Referenced by constantTerm(), constantTerm(), get(), getComponent(), LinearMap(), LinearMap(), LinearMap(), LinearMap(), linearTerms(), operator*=(), operator*=(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), operator[](), operator[](), put(), setComponent(), substitute(), substitute(), and substituteInto().

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

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ LinearMap() [1/4]

◆ LinearMap() [2/4]

◆ LinearMap() [3/4]

◆ LinearMap() [4/4]

Member Function Documentation

◆ constantTerm() [1/2]

◆ constantTerm() [2/2]

◆ get()

◆ getComponent()

◆ identity()

◆ inverse()

◆ linearTerms()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-()

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ put()

◆ setComponent()

◆ substitute() [1/2]

◆ substitute() [2/2]

◆ substituteInto()

Member Data Documentation

◆ data