Representation of a 3D Cartesian coordinate system as a Vector of vectors. More...

Inheritance diagram for triad:

Collaboration diagram for triad:

Public Member Functions
	triad ()
	Construct null. More...

	triad (const Vector< vector > &vv)
	Construct from components. More...

	triad (const vector &x, const vector &y, const vector &z)
	Construct from coordinate axes. More...

	triad (const vector &pa)
	Construct from a primary axis with the other two unset. More...

	triad (const quaternion &q)
	Construct from a quaternion. More...

	triad (const tensor &t)
	Construct from a tensor. More...

	triad (Istream &)
	Construct from Istream. More...

bool	set (const direction d) const
	Is the vector in the direction d set. More...

bool	set () const
	Are all the vector set. More...

void	orthogonalise ()
	Orthogonalise this triad so that it is ortho-normal. More...

void	normalise ()
	Normalise each set axis vector to have a unit magnitude. More...

void	align (const vector &v)
	Align this triad with the given vector v. More...

triad	sortxyz () const
	Sort the axes such that they are closest to the x, y and z axes. More...

	operator quaternion () const
	Convert to a quaternion. More...

void	operator= (const Vector< vector > &)

void	operator= (const tensor &t)

void	operator+= (const triad &t2)
	Add the triad t2 to this triad. More...

Public Member Functions inherited from Vector< vector >
	Vector ()
	Construct null. More...

	Vector (const Foam::zero)
	Construct initialised to zero. More...

	Vector (const VectorSpace< Vector< Cmpt2 >, Cmpt2, 3 > &)
	Construct given VectorSpace of the same rank. More...

	Vector (const vector &vx, const vector &vy, const vector &vz)
	Construct given three components. More...

	Vector (Istream &)
	Construct from Istream. More...

const vector &	x () const

vector &	x ()

const vector &	y () const

vector &	y ()

const vector &	z () const

vector &	z ()

const Vector< vector > &	centre (const Foam::List< Vector< vector >> &) const
	Return *this (used for point which is a typedef to Vector<scalar>. More...

Public Member Functions inherited from VectorSpace< Form, Cmpt, Ncmpts >
	VectorSpace ()
	Construct null. More...

	VectorSpace (const Foam::zero)
	Construct initialised to zero. More...

	VectorSpace (Istream &)
	Construct from Istream. More...

template<class Form2 , class Cmpt2 >
	VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &)
	Construct as copy of a VectorSpace with the same size. More...

const Cmpt &	component (const direction) const

Cmpt &	component (const direction)

void	component (Cmpt &, const direction) const

void	replace (const direction, const Cmpt &)

template<class SubVector , direction BStart>
const ConstBlock< SubVector, BStart >	block () const

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

void	operator+= (const VectorSpace< Form, Cmpt, Ncmpts > &)

void	operator-= (const VectorSpace< Form, Cmpt, Ncmpts > &)

void	operator= (const Foam::zero)

void	operator*= (const scalar)

void	operator/= (const scalar)

template<class SubVector , direction BStart>
const VectorSpace< Form, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const

Static Public Member Functions
static direction	primaryDirection (const vector &v)
	Return the primary direction of the vector v. More...

static vector	orthogonal (const vector &v1, const vector &v2)
	Return the vector orthogonal to the two provided. More...

Static Public Member Functions inherited from VectorSpace< Form, Cmpt, Ncmpts >
static direction	size ()
	Return the number of elements in the VectorSpace = Ncmpts. More...

static Form	uniform (const Cmpt &s)
	Return a VectorSpace with all elements = s. More...

Static Public Attributes
static const triad	I

static const triad	unset

Static Public Attributes inherited from Vector< vector >
static const direction	rank
	Rank of Vector is 1. More...

Static Public Attributes inherited from VectorSpace< Form, Cmpt, Ncmpts >
static const direction	dim = 3
	Dimensionality of space. More...

static const direction	nComponents = Ncmpts
	Number of components in this vector space. More...

static const direction	mRows = Ncmpts

static const direction	nCols = 1

static const char *const	typeName = "vectorVector"

static const char *const	componentNames [] = {"x", "y", "z"}

static const Form	zero

static const Form	one

static const Form	max

static const Form	min

static const Form	rootMax

static const Form	rootMin

Friends
Istream &	operator>> (Istream &, triad &)

Ostream &	operator<< (Ostream &, const triad &)

Additional Inherited Members
Public Types inherited from Vector< vector >
enum	components
	Component labeling enumeration. More...

typedef Vector< label >	labelType
	Equivalent type of labels used for valid component indexing. More...

Public Types inherited from VectorSpace< Form, Cmpt, Ncmpts >
typedef VectorSpace< Form, Cmpt, Ncmpts >	vsType
	VectorSpace type. More...

typedef Cmpt	cmptType
	Component type. More...

Public Attributes inherited from VectorSpace< Form, Cmpt, Ncmpts >
Cmpt	v_ [Ncmpts]
	The components of this vector space. More...