#include <SXMath.h>

Inheritance diagram for sx::DVector:

Public Member Functions
EXPA	DVector ()

EXPA	DVector (double v)

EXPA	DVector (double x, double y)

EXPA	DVector (double x, double y, double z)

EXPA	DVector (double x, double y, double z, double w)

EXPA	DVector (const double *v)

EXPA	DVector (const Vector &vector)

EXPA	DVector (const DVector &vector)

EXPA DVector &	operator= (const DVector &v)

virtual EXPA	~DVector ()

EXPA double &	operator[] (unsigned int index)

EXPA double	operator[] (unsigned int index) const

EXPA DVector &	operator<< (const DVector &v)

EXPA DVector &	operator<< (const double *v)

EXPA const DVector &	operator>> (DVector &v) const

EXPA const DVector &	operator>> (double *v) const

EXPA DVector &	add (const DVector &v)

EXPA DVector &	add (double x)

EXPA DVector &	crossmult (const DVector &v)

EXPA DVector &	scalarmult (double s)

EXPA double	innerprod (const DVector &v) const

EXPA DVector &	leftmult (const DMatrix &m)

EXPA DVector &	rightmult (const DMatrix &m)

EXPA DVector &	normalize ()

EXPA double	distance (const DVector &v) const

EXPA double	length () const

EXPA DVector &	random ()

EXPA DVector &	homogenize ()

EXPA bool	equals (const DVector &v) const

EXPA bool	equals (const DVector &v, double epsilon) const

Public Attributes
double *	elements

Friends
EXPA friend DVector	operator+ (const DVector &v1, const DVector &v2)

EXPA friend DVector	operator+ (const DVector &v, double x)

EXPA friend DVector	operator+ (double x, const DVector &v)

EXPA friend DVector	operator% (const DVector &v1, const DVector &v2)

EXPA friend DVector	operator* (const DVector &v, double x)

EXPA friend DVector	operator* (double x, const DVector &v)

EXPA friend DVector	operator-- (const DVector &v)

EXPA friend double	operator* (const DVector &v1, const DVector &v2)

EXPA friend DVector	operator* (const DMatrix &m, const DVector &v)

EXPA friend DVector	operator* (const DVector &v, const DMatrix &m)

Detailed Description

A double precision Vector in four-dimensional homogenous space

Constructor & Destructor Documentation

EXPA sx::DVector::DVector ( )

default constructor, constructs a zero vector with w=1

EXPA sx::DVector::DVector ( double v )

constructor, initializes x,y,z with v and w=1

EXPA sx::DVector::DVector	(	double	x,
		double	y
	)

constructor, initializes the vector with (x,y,0,1)

EXPA sx::DVector::DVector	(	double	x,
		double	y,
		double	z
	)

constructor, initializes the vector with (x,y,z,1)

EXPA sx::DVector::DVector	(	double	x,
		double	y,
		double	z,
		double	w
	)

constructor, initializes the vector with (x,y,z,w)

EXPA sx::DVector::DVector ( const double * v )

Constructor, copies array v into elements. v must have at least length 4.

EXPA sx::DVector::DVector ( const Vector & vector )

constructor for casting

EXPA sx::DVector::DVector ( const DVector & vector )

copy constructor

virtual EXPA sx::DVector::~DVector ( )

virtual

deconstructor

Member Function Documentation

EXPA DVector& sx::DVector::add ( const DVector & v )

adds vector v to this vector, leaves w untouched, and returns a reference to this

EXPA DVector& sx::DVector::add ( double x )

add vector (x,x,x,1) to this vector, leaves w untouched, and returns a reference to this

EXPA DVector& sx::DVector::crossmult ( const DVector & v )

stores the crossproduct of this and v in this, leaves w untouched, and returns a reference to this

EXPA double sx::DVector::distance ( const DVector & v ) const

returns the distance of the points specified by the first three components of this and v

EXPA bool sx::DVector::equals ( const DVector & v ) const

returns true iff all components of this and v are equal

EXPA bool sx::DVector::equals	(	const DVector &	v,
		double	epsilon
	)		const

returns true iff the difference of each component of this and v is not larger than epsilon

EXPA DVector& sx::DVector::homogenize ( )

Homogenizes the vector by dividing x, y, z, w by w, and returns a reference to this. If w is equal to zero, the method does not modify this.

EXPA double sx::DVector::innerprod ( const DVector & v ) const

returns the inner product of the first three components of this and v

EXPA DVector& sx::DVector::leftmult ( const DMatrix & m )

stores m * this[0] in this

EXPA double sx::DVector::length ( ) const

returns the length of (x,y,z)

EXPA DVector& sx::DVector::normalize ( )

Normalizes this leaving w untouched, and taking only the components x, y, z into consideration, and returns a reference to this.

EXPA DVector& sx::DVector::operator<< ( const DVector & v )

copies vector v, and returns a reference to this

EXPA DVector& sx::DVector::operator<< ( const double * v )

Copies array v, and returns a reference to this. The length of array v must be at least 4. Returns a reference to this.

EXPA DVector& sx::DVector::operator= ( const DVector & v )

assignment operator

EXPA const DVector& sx::DVector::operator>> ( DVector & v ) const

copies itself to vector v, returns a reference to this

EXPA const DVector& sx::DVector::operator>> ( double * v ) const

Copies itself to array v. The length of array v must be at least 4. Returns a reference to this.

EXPA double& sx::DVector::operator[] ( unsigned int index )

Returns a reference to the index. component. If index is out of bounds, an exception is thrown.

Parameters

index	number of the component
return	reference to the index. component
exception	throws an exception Exception of type EX_BOUNDS, if index is equal to 4 or above

EXPA double sx::DVector::operator[] ( unsigned int index ) const

Returns a reference to the index. component. If index is out of bounds, an exception is thrown.

Parameters

index	number of the component
return	reference to the index. component
exception	throws an exception Exception of type EX_BOUNDS, if index is equal to 4 or above

EXPA DVector& sx::DVector::random ( )

assigns (x,y,z) with a random value out of [0,1]^3, sets w=1, and returns a reference to this

EXPA DVector& sx::DVector::rightmult ( const DMatrix & m )

stores this[0] * m in this

EXPA DVector& sx::DVector::scalarmult ( double s )

multiplies this with s, leaves w untouched, and returns a reference to this

Friends And Related Function Documentation

EXPA friend DVector operator%	(	const DVector &	v1,
		const DVector &	v2
	)

friend

returns the crossproduct of v1 and v2 with w=1

EXPA friend DVector operator*	(	const DVector &	v,
		double	x
	)

friend

returns the scalarproduct of v and x and copies w of v into the returned vector

EXPA friend DVector operator*	(	double	x,
		const DVector &	v
	)

friend

returns the scalarproduct of v and x and copies w of v into the returned vector

EXPA friend double operator*	(	const DVector &	v1,
		const DVector &	v2
	)

friend

returns the inner product of the first three components of v1 and v2

EXPA friend DVector operator*	(	const DMatrix &	m,
		const DVector &	v
	)

friend

returns m * v

EXPA friend DVector operator*	(	const DVector &	v,
		const DMatrix &	m
	)

friend

returns v * m

EXPA friend DVector operator+	(	const DVector &	v1,
		const DVector &	v2
	)

friend

returns the sum of v1 and v2 with w=1

EXPA friend DVector operator+	(	const DVector &	v,
		double	x
	)

friend

returns the sum of v and (x,x,x,1) with w=1

EXPA friend DVector operator+	(	double	x,
		const DVector &	v
	)

friend

returns the sum of v and (x,x,x,1) with w=1

EXPA friend DVector operator-- ( const DVector & v )

friend

returns the scalarproduct of v with -1 and copies w of v into the returned vector

Member Data Documentation

double* sx::DVector::elements

components of vector, has always four components x,y,z,w

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

fluid/res/include/sx/SXMath.h

Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation