concepts::UnitNd< dim > Class Template Reference

#include <vectorsMatrices.hh>

Inheritance diagram for concepts::UnitNd< dim >:

Public Member Functions
	UnitNd ()
	Constructor. Initializes all elements to 0.
	UnitNd (const Point< Real, dim > &u)
	Constructor for a point.
	UnitNd (Real x, Real y, Real z)
	Constructor for at most 3D.
Real	length () const
	Length of the initially given vector.
const Real &	operator[] (const uint i) const
	Index operator.
Real &	operator[] (const uint i)
	Index operator.
	operator Real * ()
	Returns a pointer to the data.
	operator const Real * () const
	Returns a pointer to the data.
Point< Real, dim > &	operator+= (const Point< Real, dim > &p)
	Addition operator.
Point< Real, dim >	operator+ (const Point< Real, dim > &p) const
	Addition operator.
Point< Real, dim > &	operator-= (const Point< Real, dim > &p)
	Subtraction operator.
Point< Real, dim >	operator- (const Point< Real, dim > &p) const
	Subtraction operator.
Real	operator* (const Point< Real, dim > &b) const
	Inner product.
Real	operator* (const UnitNd< dim > &b) const
Point< Cmplx, dim >	operator* (const Cmplx n) const
	Scaling operator with a complex number.
Point< Real, dim >	operator* (const Real n) const
	Scaling operator with a real number.
Real	dot (const Point< Real, dim > &b) const
	Inner product, i.e. for complex arguments: this * conjugate(b)
Point< Real, dim > &	operator*= (const G n)
	Scaling operator.
Point< Real, dim > &	operator/= (const G n)
	Unscaling operator.
Point< Cmplx, dim >	operator/ (const Cmplx n) const
	Unscaling operator with a complex number.
Point< Real, dim >	operator/ (const Real n) const
	Unscaling operator with a real number.
Point< Real, dim > &	scale (const Point< Real, dim > &n)
	Scaling.
Point< Real, 3 >	operator^ (const Point< Real, 3 > &b) const
	Outer product (for 3D)
Real	operator^ (const Point< Real, 2 > &b) const
	Outer product (for 2D)
Real	l2 () const
	Returns the Euclidian norm of the vector.
Real	l2_2 () const
	Returns the square of the Euclidian norm of the vector.
Real	linfty () const
	Returns the Maximum norm of the vector.
void	lincomb (const Point< Real, dim > &a, const Point< Real, dim > &b, const Real ca=1.0, const Real cb=1.0)
	Assign the vector the linear combination of a and b.
void	max (const Point< Real, dim > &a, const Point< Real, dim > &b)
	Sets the vector to the elementwise maximum of a and b.
void	min (const Point< Real, dim > &a, const Point< Real, dim > &b)
	Sets the vector to the elementwise minimum of a and b.
Point< Real, dim > &	ortho (const Point< Real, dim > &a)
Point< Real, dim > &	ortho ()
	Rotates the vector by 90 degrees (clockwise) (only 2D)
Point< Real, dim >	ortho () const
	Returns a by 90 degrees (clockwise) rotated vector (only 2D)
std::ostream &	info (std::ostream &os) const

Detailed Description

template<uint dim>
class concepts::UnitNd< dim >

A vector of dimension dim and length 1.

Author

Gregor Schmidlin, 2002

Definition at line 276 of file vectorsMatrices.hh.

Constructor & Destructor Documentation

UnitNd() [1/3]

template<uint dim>

concepts::UnitNd< dim >::UnitNd ( )

inline

Constructor. Initializes all elements to 0.

Definition at line 281 of file vectorsMatrices.hh.

UnitNd() [2/3]

template<uint dim>

concepts::UnitNd< dim >::UnitNd ( const Point< Real, dim > &  u )

inline

Constructor for a point.

Definition at line 292 of file vectorsMatrices.hh.

UnitNd() [3/3]

template<uint dim>

concepts::UnitNd< dim >::UnitNd ( Real  x, Real  y, Real  z  )

inline

Constructor for at most 3D.

Definition at line 298 of file vectorsMatrices.hh.

Member Function Documentation

l2()

Real concepts::Point< Real , dim >::l2 ( ) const

inlineinherited

Returns the Euclidian norm of the vector.

Definition at line 182 of file vectorsMatrices.hh.

length()

template<uint dim>

Real concepts::UnitNd< dim >::length ( ) const

inline

Length of the initially given vector.

Definition at line 288 of file vectorsMatrices.hh.

operator const Real *()

concepts::Point< Real , dim >::operator const Real * ( ) const

inlineinherited

Returns a pointer to the data.

Definition at line 101 of file vectorsMatrices.hh.

operator Real *()

concepts::Point< Real , dim >::operator Real * ( )

inlineinherited

Returns a pointer to the data.

Definition at line 99 of file vectorsMatrices.hh.

operator*() [1/2]

Point< Cmplx, dim > concepts::Point< Real , dim >::operator* ( const Cmplx  n ) const

inlineinherited

Scaling operator with a complex number.

Definition at line 148 of file vectorsMatrices.hh.

operator*() [2/2]

Point< Real , dim > concepts::Point< Real , dim >::operator* ( const Real  n ) const

inlineinherited

Scaling operator with a real number.

Definition at line 153 of file vectorsMatrices.hh.

operator*=()

Point< Real , dim > & concepts::Point< Real , dim >::operator*= ( const G  n )

inlineinherited

Scaling operator.

Definition at line 134 of file vectorsMatrices.hh.

operator+()

Point< Real , dim > concepts::Point< Real , dim >::operator+ ( const Point< Real , dim > &  p ) const

inlineinherited

Addition operator.

Definition at line 110 of file vectorsMatrices.hh.

operator+=()

Point< Real , dim > & concepts::Point< Real , dim >::operator+= ( const Point< Real , dim > &  p )

inlineinherited

Addition operator.

Definition at line 104 of file vectorsMatrices.hh.

operator-()

Point< Real , dim > concepts::Point< Real , dim >::operator- ( const Point< Real , dim > &  p ) const

inlineinherited

Subtraction operator.

Definition at line 121 of file vectorsMatrices.hh.

operator-=()

Point< Real , dim > & concepts::Point< Real , dim >::operator-= ( const Point< Real , dim > &  p )

inlineinherited

Subtraction operator.

Definition at line 115 of file vectorsMatrices.hh.

operator/() [1/2]

Point< Cmplx, dim > concepts::Point< Real , dim >::operator/ ( const Cmplx  n ) const

inlineinherited

Unscaling operator with a complex number.

Definition at line 159 of file vectorsMatrices.hh.

operator/() [2/2]

Point< Real , dim > concepts::Point< Real , dim >::operator/ ( const Real  n ) const

inlineinherited

Unscaling operator with a real number.

Definition at line 164 of file vectorsMatrices.hh.

operator/=()

Point< Real , dim > & concepts::Point< Real , dim >::operator/= ( const G  n )

inlineinherited

Unscaling operator.

Definition at line 142 of file vectorsMatrices.hh.

operator[]() [1/2]

Real & concepts::Point< Real , dim >::operator[] ( const uint  i )

inlineinherited

Index operator.

Definition at line 94 of file vectorsMatrices.hh.

operator[]() [2/2]

const Real & concepts::Point< Real , dim >::operator[] ( const uint  i ) const

inlineinherited

Index operator.

Definition at line 90 of file vectorsMatrices.hh.

ortho()

Point< Real , dim > & concepts::Point< Real , dim >::ortho ( const Point< Real , dim > &  a )

inherited

Change vector to the by 90 degrees (clockwise) rotated vector a (only 2D)

scale()

Point< Real , dim > & concepts::Point< Real , dim >::scale ( const Point< Real , dim > &  n )

inlineinherited

Scaling.

Definition at line 170 of file vectorsMatrices.hh.

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

• basics/vectorsMatrices.hh