Linear function in N variables of type T. More...

#include <LinearFun.h>

Collaboration diagram for LinearFun< T, N >:

Public Member Functions
	LinearFun ()
	Default constructor.
	LinearFun (const T &)
	Conversion.
	LinearFun (int)
	Conversion.
LinearFun &	operator= (const T &y)
	Convert and assign.
const T	getCoefficient (int index) const
	Get coefficient.
void	setCoefficient (int index, const T &value)
	Set coefficient.
const T	operator[] (int index) const
	Get coefficient.
T &	operator[] (int index)
	Get coefficient.
LinearFun	operator+ () const
	Unary plus.
LinearFun	operator- () const
	Unary minus.
LinearFun &	operator+= (const LinearFun &y)
	Add and assign.
LinearFun &	operator-= (const LinearFun &y)
	Subtract and assign.
LinearFun &	operator*= (const LinearFun &y)
	Multiply and assign.
LinearFun &	operator/= (const LinearFun &y)
	Approximate division and assignation.
LinearFun &	operator+= (const T &y)
	Add constant and assign.
LinearFun &	operator-= (const T &y)
	Subtract constant and assign.
LinearFun &	operator*= (const T &y)
	Multiply by constant and assign.
LinearFun &	operator/= (const T &y)
	Divide by constant and assign.
bool	operator== (const LinearFun &y) const
	Equality operator.
bool	operator== (const T &y) const
	Equality with constant.
bool	operator!= (const LinearFun &y) const
	Inequality operator.
bool	operator!= (const T &y) const
	Inequality with constant.
LinearFun	inverse () const
	Approximate reciprocal value 1/(*this).
LinearFun	multiply (const LinearFun &y) const
	Multiplication truncated to order one.
T	evaluate (const FVector< T, N > &) const
	Evaluate LinearFun at point.
LinearFun< T, N >	substitute (const LinearMap< T, N > &m) const
	Substitute.
LinearFun< T, N >	substitute (const FMatrix< T, N, N > &M) const
	Substitute.
LinearFun	taylor (const T series[2]) const
	Taylor series.
std::istream &	get (std::istream &is)
	Read LinearFun on the stream [b]is[/b].
std::ostream &	put (std::ostream &os) const
	Write LinearFun on the stream [b]os[/b].

Static Public Member Functions
static LinearFun	makeVariable (int var)
	Make variable.

Private Attributes
T	data [N+1]
	Representation.

Detailed Description

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

Linear function in N variables of type T.

Definition at line 39 of file LinearFun.h.

Constructor & Destructor Documentation

◆ LinearFun() [1/3]

template<class T, int N>

LinearFun< T, N >::LinearFun ( )

Default constructor.

Definition at line 39 of file LinearFun.hpp.

References data.

Referenced by get(), inverse(), makeVariable(), multiply(), operator!=(), operator*=(), operator*=(), operator+(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), operator=(), operator==(), substitute(), substitute(), and taylor().

◆ LinearFun() [2/3]

template<class T, int N>

LinearFun< T, N >::LinearFun ( const T & rhs )

Conversion.

Definition at line 45 of file LinearFun.hpp.

References data.

◆ LinearFun() [3/3]

template<class T, int N>

LinearFun< T, N >::LinearFun ( int rhs )

Conversion.

Definition at line 52 of file LinearFun.hpp.

References data.

Member Function Documentation

◆ evaluate()

template<class T, int N>

T LinearFun< T, N >::evaluate ( const FVector< T, N > & rhs ) const

Evaluate LinearFun at point.

Definition at line 239 of file LinearFun.hpp.

References data.

◆ get()

template<class T, int N>

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

Read LinearFun on the stream [b]is[/b].

Definition at line 290 of file LinearFun.hpp.

References data, LinearFun(), and Tps< T >::truncOrder.

Referenced by operator>>().

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◆ getCoefficient()

template<class T, int N>

const T LinearFun< T, N >::getCoefficient ( int index ) const

Get coefficient.

Definition at line 67 of file LinearFun.hpp.

References data.

◆ inverse()

template<class T, int N>

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

Approximate reciprocal value 1/(*this).

Definition at line 211 of file LinearFun.hpp.

References data, and LinearFun().

Referenced by operator/(), operator/(), and LinearMap< T, N >::operator/=().

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◆ makeVariable()

template<class T, int N>

LinearFun< T, N > LinearFun< T, N >::makeVariable ( int var )

static

Make variable.

Definition at line 91 of file LinearFun.hpp.

References data, and LinearFun().

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◆ multiply()

template<class T, int N>

LinearFun< T, N > LinearFun< T, N >::multiply ( const LinearFun< T, N > & y ) const

Multiplication truncated to order one.

Definition at line 226 of file LinearFun.hpp.

References data, and LinearFun().

Referenced by operator*(), operator*=(), and operator/().

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◆ operator!=() [1/2]

template<class T, int N>

bool LinearFun< T, N >::operator!= ( const LinearFun< T, N > & y ) const

inline

Inequality operator.

Definition at line 199 of file LinearFun.hpp.

References LinearFun().

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◆ operator!=() [2/2]

template<class T, int N>

bool LinearFun< T, N >::operator!= ( const T & y ) const

inline

Inequality with constant.

Definition at line 205 of file LinearFun.hpp.

◆ operator*=() [1/2]

template<class T, int N>

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

Multiply and assign.

Definition at line 128 of file LinearFun.hpp.

References LinearFun(), and multiply().

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◆ operator*=() [2/2]

template<class T, int N>

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

Multiply by constant and assign.

Definition at line 162 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator+()

template<class T, int N>

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

inline

Unary plus.

Definition at line 100 of file LinearFun.hpp.

References LinearFun().

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◆ operator+=() [1/2]

template<class T, int N>

LinearFun< T, N > & LinearFun< T, N >::operator+= ( const LinearFun< T, N > & y )

Add and assign.

Definition at line 114 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator+=() [2/2]

template<class T, int N>

LinearFun< T, N > & LinearFun< T, N >::operator+= ( const T & y )

inline

Add constant and assign.

Definition at line 148 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator-()

template<class T, int N>

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

Unary minus.

Definition at line 106 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator-=() [1/2]

template<class T, int N>

LinearFun< T, N > & LinearFun< T, N >::operator-= ( const LinearFun< T, N > & y )

Subtract and assign.

Definition at line 121 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator-=() [2/2]

template<class T, int N>

LinearFun< T, N > & LinearFun< T, N >::operator-= ( const T & y )

inline

Subtract constant and assign.

Definition at line 155 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator/=() [1/2]

template<class T, int N>

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

Approximate division and assignation.

Definition at line 134 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator/=() [2/2]

template<class T, int N>

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

Divide by constant and assign.

Definition at line 169 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator=()

template<class T, int N>

LinearFun< T, N > & LinearFun< T, N >::operator= ( const T & y )

Convert and assign.

Definition at line 59 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator==() [1/2]

template<class T, int N>

bool LinearFun< T, N >::operator== ( const LinearFun< T, N > & y ) const

Equality operator.

Definition at line 177 of file LinearFun.hpp.

References data, and LinearFun().

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◆ operator==() [2/2]

template<class T, int N>

bool LinearFun< T, N >::operator== ( const T & y ) const

Equality with constant.

Definition at line 187 of file LinearFun.hpp.

References data.

◆ operator[]() [1/2]

template<class T, int N>

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

inline

Get coefficient.

Definition at line 85 of file LinearFun.hpp.

References data.

◆ operator[]() [2/2]

template<class T, int N>

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

inline

Get coefficient.

Definition at line 79 of file LinearFun.hpp.

References data.

◆ put()

template<class T, int N>

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

Write LinearFun on the stream [b]os[/b].

Definition at line 343 of file LinearFun.hpp.

References data.

Referenced by operator<<().

◆ setCoefficient()

template<class T, int N>

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

Set coefficient.

Definition at line 73 of file LinearFun.hpp.

References data.

◆ substitute() [1/2]

template<class T, int N>

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

Substitute.

Definition at line 247 of file LinearFun.hpp.

References data, and LinearFun().

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◆ substitute() [2/2]

template<class T, int N>

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

Substitute.

Definition at line 262 of file LinearFun.hpp.

References data, and LinearFun().

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◆ taylor()

template<class T, int N>

LinearFun< T, N > LinearFun< T, N >::taylor ( const T series[2] ) const

Taylor series.

Definition at line 277 of file LinearFun.hpp.

References data, and LinearFun().

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Member Data Documentation

◆ data

template<class T, int N>

T LinearFun< T, N >::data[N+1]

private

Representation.

Definition at line 164 of file LinearFun.h.

Referenced by evaluate(), get(), getCoefficient(), inverse(), LinearFun(), LinearFun(), LinearFun(), makeVariable(), multiply(), operator*=(), operator+=(), operator+=(), operator-(), operator-=(), operator-=(), operator/=(), operator/=(), operator=(), operator==(), operator==(), operator[](), operator[](), put(), setCoefficient(), substitute(), substitute(), and taylor().

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

Public Member Functions

Static Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ LinearFun() [1/3]

◆ LinearFun() [2/3]

◆ LinearFun() [3/3]

Member Function Documentation

◆ evaluate()

◆ get()

◆ getCoefficient()

◆ inverse()

◆ makeVariable()

◆ multiply()

◆ operator!=() [1/2]

◆ operator!=() [2/2]

◆ 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=()

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ put()

◆ setCoefficient()

◆ substitute() [1/2]

◆ substitute() [2/2]

◆ taylor()

Member Data Documentation

◆ data