Vectors

Classes
class	ug::MathVector< N, T >
	a mathematical Vector with N entries. More...
class	ug::MathVector< 0, T >
class	ug::MathVector< 1, T >
class	ug::MathVector< 2, T >
class	ug::MathVector< 3, T >
class	ug::MathVector< 4, T >

Typedefs
typedef MathMatrix< 2, 2, number >	ug::matrix22
	a 2x2 matrix More...
typedef MathMatrix< 3, 3, number >	ug::matrix33
	a 3x3 matrix More...
typedef MathMatrix< 4, 4, number >	ug::matrix44
	a 4x4 matrix More...
typedef MathVector< 1, number >	ug::vector1
	a 1d vector More...
typedef MathVector< 2, number >	ug::vector2
	a 2d vector More...
typedef MathVector< 3, number >	ug::vector3
	a 3d vector More...
typedef MathVector< 4, number >	ug::vector4
	a 4d vector More...

Functions
template<typename vector_t >
void	ug::CalculateTriangleNormal (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3)
	Calculates a triangle-normal in 3d (output has length 1). More...
template<typename vector_t >
void	ug::CalculateTriangleNormalNoNormalize (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3)
	Calculates a triangle-normal in 3d (no normalization is performed). More...
template<class TStream , std::size_t N, class T >
void	ug::Deserialize (TStream &out, MathVector< N, T > &valOut)
template<size_t dim>
void	ug::GenVecCross (MathVector< dim > &result, const MathVector< dim > &v_1, const MathVector< dim > &v_2)
	calculates the usual cross product in 3d, and the (det, 0) vector as a cross product in 2d More...
template<std::size_t N, typename T >
bool	ug::operator!= (const MathVector< N, T > &v, const MathVector< N, T > &w)
template<std::size_t N, typename T >
bool	ug::operator< (const MathVector< N, T > &v, const MathVector< N, T > &w)
template<typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 0, T > &v)
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 1 > &v)
	formatted output of MathVector objects: (...,...) More...
template<typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 1, T > &v)
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 2 > &v)
	formatted output of MathVector objects: (...,...) More...
template<typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 2, T > &v)
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 3 > &v)
	formatted output of MathVector objects: (...,...) More...
template<typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 3, T > &v)
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 4 > &v)
	formatted output of MathVector objects: (...,...) More...
template<typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< 4, T > &v)
template<std::size_t N, typename T >
std::ostream &	ug::operator<< (std::ostream &outStream, const ug::MathVector< N, T > &v)
template<typename T >
bool	ug::operator== (const MathVector< 0, T > &v, const MathVector< 0, T > &w)
template<std::size_t N, typename T >
bool	ug::operator== (const MathVector< N, T > &v, const MathVector< N, T > &w)
std::istream &	ug::read_plain_txt (std::istream &inStream, ug::MathVector< 1 > &v)
	plain text input of MathVectors: read space-separated coordinates More...
std::istream &	ug::read_plain_txt (std::istream &inStream, ug::MathVector< 2 > &v)
	plain text input of MathVectors: read space-separated coordinates More...
std::istream &	ug::read_plain_txt (std::istream &inStream, ug::MathVector< 3 > &v)
	plain text input of MathVectors: read space-separated coordinates More...
std::istream &	ug::read_plain_txt (std::istream &inStream, ug::MathVector< 4 > &v)
	plain text input of MathVectors: read space-separated coordinates More...
template<class TStream , std::size_t N, class T >
void	ug::Serialize (TStream &out, const MathVector< N, T > &val)
template<typename vector_t >
void	ug::VecAdd (vector_t &vOut, const vector_t &v, typename vector_t::value_type s)
	Add a scalar to a vector (componentwise) More...
template<typename vector_t >
void	ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2)
	adds two MathVector<N>s and stores the result in a third one More...
template<typename vector_t >
void	ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3)
	adds three MathVector<N>s and stores the result in a fourth one More...
template<typename vector_t >
void	ug::VecAdd (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3, const vector_t &v4)
	adds four MathVector<N>s and stores the result in a firth one More...
template<typename vector_t >
vector_t::value_type	ug::VecAngle (const vector_t &v1, const vector_t &v2)
	returns the angle between two vectors in radiants More...
template<typename vector_t >
vector_t::value_type	ug::VecAngleNorm (const vector_t &v1, const vector_t &v2)
	returns the angle between two vectors of length 1 in radiants More...
template<typename vector_t >
void	ug::VecAppend (vector_t &vOut, const vector_t &v1)
	adds a MathVector<N> to a second one More...
template<typename vector_t >
void	ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2)
	adds two MathVector<N>s and adds the result to a third one More...
template<typename vector_t >
void	ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3)
	adds two MathVector<N>s and adds the result to a fourth one More...
template<typename vector_t >
void	ug::VecAppend (vector_t &vOut, const vector_t &v1, const vector_t &v2, const vector_t &v3, const vector_t &v4)
	adds two MathVector<N>s and adds the result to a fifth one More...
template<typename vector_target_t , typename vector_source_t >
void	ug::VecCopy (vector_target_t &target, const vector_source_t &source, typename vector_target_t::value_type fill)
	Copy contents between vectors of possibly different types. More...
template<typename vector_t >
void	ug::VecCross (vector_t &vOut, const vector_t &v1, const vector_t &v2)
	calculates the cross product of two Vectors of dimension 3. It makes no sense to use VecCross for vector_ts that have not dimension 3. More...
template<typename vector_t >
vector_t::value_type	ug::VecDistance (const vector_t &v1, const vector_t &v2)
	returns the distance of two vector_ts. More...
template<typename vector_t >
vector_t::value_type	ug::VecDistanceSq (const vector_t &v1, const vector_t &v2)
	returns the squared distance of two vector_ts. More...
template<typename vector_t >
vector_t::value_type	ug::VecDot (const vector_t &v1, const vector_t &v2)
	returns the dot-product of two vector_ts More...
template<typename vector_t >
vector_t::value_type	ug::VecInftyNorm (const vector_t &v)
template<typename vector_t >
void	ug::VecInterpolateLinear (vector_t &vOut, const vector_t &v1, const vector_t &v2, typename vector_t::value_type interpAmount)
template<typename vector_t >
vector_t::value_type	ug::VecLength (const vector_t &v)
	returns the length of v. Slower than VecLengthSq. More...
template<typename vector_t >
vector_t::value_type	ug::VecLengthSq (const vector_t &v)
	returns the squared length of v. Faster than VecLength. More...
template<typename vector_t >
vector_t::value_type	ug::VecMaxNorm (const vector_t &v)
template<typename vector_t >
void	ug::VecNormalize (vector_t &vOut, const vector_t &v)
	scales a vector_t to unit length More...
template<typename vector_t >
vector_t::value_type	ug::VecOneNorm (const vector_t &v)
template<typename vector_t >
vector_t::value_type	ug::VecPNorm (const vector_t &v, unsigned int p)
template<typename vector_t >
void	ug::VecPow (vector_t &vOut, const vector_t &v1, typename vector_t::value_type s)
	component-wise exponentiation of a vector More...
template<typename vector_t >
void	ug::VecScale (vector_t &vOut, const vector_t &v, typename vector_t::value_type s)
	scales a MathVector<N> More...
template<typename vector_t >
void	ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2)
	Scales two Vectors, adds them and returns the sum in a third vector. More...
template<typename vector_t >
void	ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3)
	Scales three Vectors, adds them and returns the sum in a fourth vector. More...
template<typename vector_t >
void	ug::VecScaleAdd (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3, typename vector_t::value_type s4, const vector_t &v4)
	Scales four Vectors, adds them and returns the sum in a fifth vector. More...
template<typename vector_t >
void	ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1)
	Scales a Vector and adds it to a second vector. More...
template<typename vector_t >
void	ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2)
	Scales two Vectors, adds them and adds the sum to a third vector. More...
template<typename vector_t >
void	ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3)
	Scales three Vectors, adds them and adds the sum to a fourth vector. More...
template<typename vector_t >
void	ug::VecScaleAppend (vector_t &vOut, typename vector_t::value_type s1, const vector_t &v1, typename vector_t::value_type s2, const vector_t &v2, typename vector_t::value_type s3, const vector_t &v3, typename vector_t::value_type s4, const vector_t &v4)
	Scales four Vectors, adds them and adds the sum to a fifth vector. More...
template<typename vector_t >
void	ug::VecSet (vector_t &vInOut, typename vector_t::value_type s)
	Set each vector component to scalar (componentwise) More...
template<typename vector_t >
void	ug::VecSubtract (vector_t &vOut, const vector_t &v, typename vector_t::value_type s)
	Subtract a scalar from a vector (componentwise) More...
template<typename vector_t >
void	ug::VecSubtract (vector_t &vOut, const vector_t &v1, const vector_t &v2)
	subtracts v2 from v1 and stores the result in a vOut More...
template<typename vector_t >
vector_t::value_type	ug::VecTwoNorm (const vector_t &v)
template<typename vector_t >
vector_t::value_type	ug::VecTwoNormSq (const vector_t &v)
std::ostream &	ug::write_plain_txt (std::ostream &outStream, const ug::MathVector< 1 > &v)
	plain text output of MathVector objects: space-separated coordinates More...
std::ostream &	ug::write_plain_txt (std::ostream &outStream, const ug::MathVector< 2 > &v)
	plain text output of MathVector objects: space-separated coordinates More...
std::ostream &	ug::write_plain_txt (std::ostream &outStream, const ug::MathVector< 3 > &v)
	plain text output of MathVector objects: space-separated coordinates More...
std::ostream &	ug::write_plain_txt (std::ostream &outStream, const ug::MathVector< 4 > &v)
	plain text output of MathVector objects: space-separated coordinates More...
template<std::size_t fromN, std::size_t toN, typename T >
MathVector< toN, T >	ug::MathVectorFrom (const MathVector< fromN, T > &v)
	helper method which creates a vector from another vector of different dimensionality More...
template<std::size_t N, typename T >
MathVector< N, T >	ug::MathVectorFrom (const MathVector< N, T > &v)
	helper method which creates a vector from another vector of different dimensionality More...

Detailed Description

Abbreviations of small vectors

Typedef Documentation

matrix22

typedef MathMatrix<2,2, number> ug::matrix22

a 2x2 matrix

matrix33

typedef MathMatrix<3,3, number> ug::matrix33

a 3x3 matrix

matrix44

typedef MathMatrix<4,4, number> ug::matrix44

a 4x4 matrix

vector1

typedef MathVector<1, number> ug::vector1

a 1d vector

vector2

typedef MathVector<2, number> ug::vector2

a 2d vector

vector3

typedef MathVector<3, number> ug::vector3

a 3d vector

vector4

typedef MathVector<4, number> ug::vector4

a 4d vector

Function Documentation

CalculateTriangleNormal()

template<typename vector_t >

void ug::CalculateTriangleNormal ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3  )

inline

Calculates a triangle-normal in 3d (output has length 1).

Calculates a triangle-normal in 3d.

References ug::CalculateTriangleNormalNoNormalize(), and ug::VecNormalize().

Referenced by ug::CalculateNormal(), ug::CalculateNormalDot(), and ug::IntersectCoplanarTriangles().

CalculateTriangleNormalNoNormalize()

template<typename vector_t >

void ug::CalculateTriangleNormalNoNormalize ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3  )

inline

Calculates a triangle-normal in 3d (no normalization is performed).

Calculates a triangle-normal in 3d.

References ug::VecCross(), and ug::VecSubtract().

Referenced by ug::CalculateNormal(), ug::CalculateNormalNoNormalize(), ug::CalculateTriangleNormal(), ug::node_tree::Traverser_ProjectPoint::handle_collision_triangles(), ug::ProjectPointToSurface(), ug::QuadDiagonalIsValid(), ug::Valence3VertexIsObsolete(), and ug::Valence4VertexIsObsolete().

Deserialize()

template<class TStream , std::size_t N, class T >

void ug::Deserialize	(	TStream &	out,
		MathVector< N, T > &	valOut
	)

References ug::MathVector< N, T >::m_data.

GenVecCross()

template<size_t dim>

void ug::GenVecCross ( MathVector< dim > &  result, const MathVector< dim > &  v_1, const MathVector< dim > &  v_2  )

inline

calculates the usual cross product in 3d, and the (det, 0) vector as a cross product in 2d

computes the "generalized vector product" of two vectors

In 3d, this is a usual cross-product. In 2d, the first component of the result is the determinant of the 2x2-matrix build of the operands, and the second component is always 0.

Template Parameters

dim	dimensionality of the vectors

Parameters

result

= v_1 X v_2

References UG_THROW.

Referenced by ug::TriangleArea().

MathVectorFrom() [1/2]

template<std::size_t fromN, std::size_t toN, typename T >

MathVector<toN, T> ug::MathVectorFrom

(

const MathVector< fromN, T > &

v

)

helper method which creates a vector from another vector of different dimensionality

Typically, the method isn't invoked directly but serves as an implementation helper for MathVector<toN, T>::from(v).

MathVectorFrom() [2/2]

template<std::size_t N, typename T >

MathVector<N, T> ug::MathVectorFrom

(

const MathVector< N, T > &

v

)

helper method which creates a vector from another vector of different dimensionality

Typically, the method isn't invoked directly but serves as an implementation helper for MathVector<toN, T>::from(v).

operator!=()

template<std::size_t N, typename T >

bool ug::operator!=	(	const MathVector< N, T > &	v,
		const MathVector< N, T > &	w
	)

operator<()

template<std::size_t N, typename T >

bool ug::operator<	(	const MathVector< N, T > &	v,
		const MathVector< N, T > &	w
	)

References ug::SMALL.

operator<<() [1/10]

template<typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 0, T > &	v
	)

operator<<() [2/10]

UG_API std::ostream & ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 1 > &	v
	)

formatted output of MathVector objects: (...,...)

References ug::MathVector< N, T >::coord().

operator<<() [3/10]

template<typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 1, T > &	v
	)

operator<<() [4/10]

UG_API std::ostream & ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 2 > &	v
	)

formatted output of MathVector objects: (...,...)

References ug::MathVector< N, T >::coord().

operator<<() [5/10]

template<typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 2, T > &	v
	)

operator<<() [6/10]

UG_API std::ostream & ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 3 > &	v
	)

formatted output of MathVector objects: (...,...)

References ug::MathVector< N, T >::coord().

operator<<() [7/10]

template<typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 3, T > &	v
	)

operator<<() [8/10]

UG_API std::ostream & ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 4 > &	v
	)

formatted output of MathVector objects: (...,...)

References ug::MathVector< N, T >::coord().

operator<<() [9/10]

template<typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< 4, T > &	v
	)

operator<<() [10/10]

template<std::size_t N, typename T >

std::ostream& ug::operator<<	(	std::ostream &	outStream,
		const ug::MathVector< N, T > &	v
	)

References ug::MathVector< N, T >::coord().

operator==() [1/2]

template<typename T >

bool ug::operator==	(	const MathVector< 0, T > &	v,
		const MathVector< 0, T > &	w
	)

operator==() [2/2]

template<std::size_t N, typename T >

bool ug::operator==	(	const MathVector< N, T > &	v,
		const MathVector< N, T > &	w
	)

Referenced by ug::DenseMatrix< TStorage >::operator!=().

read_plain_txt() [1/4]

UG_API std::istream & ug::read_plain_txt	(	std::istream &	inStream,
		ug::MathVector< 1 > &	v
	)

plain text input of MathVectors: read space-separated coordinates

References ug::MathVector< N, T >::coord().

Referenced by ug::IDWUserData< WDim, TData >::load_data_from().

read_plain_txt() [2/4]

UG_API std::istream & ug::read_plain_txt	(	std::istream &	inStream,
		ug::MathVector< 2 > &	v
	)

plain text input of MathVectors: read space-separated coordinates

References ug::MathVector< N, T >::coord().

read_plain_txt() [3/4]

UG_API std::istream & ug::read_plain_txt	(	std::istream &	inStream,
		ug::MathVector< 3 > &	v
	)

plain text input of MathVectors: read space-separated coordinates

References ug::MathVector< N, T >::coord().

read_plain_txt() [4/4]

UG_API std::istream & ug::read_plain_txt	(	std::istream &	inStream,
		ug::MathVector< 4 > &	v
	)

plain text input of MathVectors: read space-separated coordinates

References ug::MathVector< N, T >::coord().

Serialize()

template<class TStream , std::size_t N, class T >

void ug::Serialize	(	TStream &	out,
		const MathVector< N, T > &	val
	)

References ug::MathVector< N, T >::m_data.

VecAdd() [1/4]

template<typename vector_t >

void ug::VecAdd ( vector_t &  vOut, const vector_t &  v, typename vector_t::value_type  s  )

inline

Add a scalar to a vector (componentwise)

References s.

VecAdd() [2/4]

template<typename vector_t >

void ug::VecAdd ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2  )

inline

adds two MathVector<N>s and stores the result in a third one

Referenced by ug::NeuriteProjector::average_params(), ug::lg_ntree_traits_base< tree_dim, world_dim, elem_t_, common_data_t_ >::calculate_center(), ug::ntree< tree_dim, world_dim, TElem, TCommonData >::calculate_center_of_mass(), ug::CalculateBarycenter(), ug::CalculateBoundaryVertexNormal3D(), ug::CalculateCenter(), ug::CalculateConstrainedSmoothVolumePosInTopLevel(), ug::CalculateCreaseNormal(), ug::CalculateMinCurvature(), ug::CalculateNormal(), ug::CalculateNormalNoNormalize(), ug::CalculateSmoothCreaseManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInParentLevelButterflyScheme(), ug::CalculateSmoothManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInTopLevelAveragingScheme(), ug::CalculateSmoothVolumePosInTopLevel(), ug::CalculateVertexNormal(), ug::CalculateVertexNormals(), ug::AABox< vector_t >::center(), ug::CollapseEdge(), ug::HFV1Geometry< TElem, TWorldDim >::compute_side_midpoints(), ug::DimHFV1Geometry< TDim, TWorldDim >::compute_side_midpoints(), ug::HFV1ManifoldGeometry< TElem, TWorldDim >::compute_side_midpoints(), ug::CreatePrism(), ug::node_tree::CreateSubOctrees(), ug::DropAPerpendicular(), ug::Duplicate(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::Extrude(), ug::lg_ntree_traits_base< tree_dim, world_dim, elem_t_, common_data_t_ >::grow_box(), ug::node_tree::GrowBox(), ug::LaplacianSmooth(), ug::fv1_traits_ReferenceFace3d::NormalOnSCVF_Face(), ug::ObtainSimpleGrid_CollapseEdge(), ug::AABox< ug::MathVector< dim > >::overlaps_line(), ug::pos_on_surface_tip(), ug::SomaProjector::project_to_soma_surface(), ug::ProjectPointToRay(), ug::QualityGridGeneration(), ug::RayPlaneIntersection(), ug::RayRayIntersection3d(), ug::tet_rules::Refine(), ug::SubdivisionProjector::refinement_begins(), ug::EllipticCylinderProjector::scale_point_to_radius(), ug::SnapMarkerPointToGridVertex(), ug::TangentialSmooth(), ug::TangentialSmoothSimple(), ug::TranslateDomain(), ug::TranslateSelection(), ug::TriangleFill(), ug::TrySplit(), ug::Valence4VertexIsObsolete(), ug::IVector_AlgebraDownCastTo< TVec >::vec_add(), ug::WeightedEdgeSmooth(), and ug::WeightedFaceSmooth().

VecAdd() [3/4]

template<typename vector_t >

void ug::VecAdd ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3  )

inline

adds three MathVector<N>s and stores the result in a fourth one

adds three Vectors and stores the result in a fourth one

VecAdd() [4/4]

template<typename vector_t >

void ug::VecAdd ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3, const vector_t &  v4  )

inline

adds four MathVector<N>s and stores the result in a firth one

adds four Vectors and stores the result in a fifth one

VecAngle()

template<typename vector_t >

vector_t::value_type ug::VecAngle ( const vector_t &  v1, const vector_t &  v2  )

inline

returns the angle between two vectors in radiants

References ug::PI, ug::VecDot(), and ug::VecLengthSq().

Referenced by ug::CheckDirection(), ug::DelaunayInfo< TAAPos >::init_marks(), ug::DelaunayInfo< TAAPos >::is_classifiable(), ug::OrderDownwindForDofDist(), ug::QualityGridGeneration(), ug::SelectKinkVertices(), and ug::SimplifyPolylines().

VecAngleNorm()

template<typename vector_t >

vector_t::value_type ug::VecAngleNorm ( const vector_t &  v1, const vector_t &  v2  )

inline

returns the angle between two vectors of length 1 in radiants

This method assumes that v1 and v2 are normalized vectors (both have length 1). No checks are performed!

References ug::PI, and ug::VecDot().

VecAppend() [1/4]

template<typename vector_t >

void ug::VecAppend ( vector_t &  vOut, const vector_t &  v1  )

inline

adds a MathVector<N> to a second one

adds a MathVector<N>s to a second one

Referenced by ug::ComputeElementExtensionsSq(), ug::ElementSize< ReferenceHexahedron, 3 >(), and ug::ElementSize< ReferencePrism, 3 >().

VecAppend() [2/4]

template<typename vector_t >

void ug::VecAppend ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2  )

inline

adds two MathVector<N>s and adds the result to a third one

VecAppend() [3/4]

template<typename vector_t >

void ug::VecAppend ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3  )

inline

adds two MathVector<N>s and adds the result to a fourth one

adds three Vectors and adds the result to a fourth one

VecAppend() [4/4]

template<typename vector_t >

void ug::VecAppend ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, const vector_t &  v3, const vector_t &  v4  )

inline

adds two MathVector<N>s and adds the result to a fifth one

adds four Vectors and adds the result to a fifth one

VecCopy()

template<typename vector_target_t , typename vector_source_t >

void ug::VecCopy	(	vector_target_t &	target,
		const vector_source_t &	source,
		typename vector_target_t::value_type	fill
	)

Copy contents between vectors of possibly different types.

If the target vector is bigger than the source vector, additional entries will be set to the scalar given in the fill argument. If it is smaller, then the additional entries in the source vector are ignored.

References fill(), boost::source(), and boost::target().

Referenced by ug::ComputeDifferenceOnDelta(), ug::BalanceWeightsLuaCallback< TDomain >::get_weight_impl(), ug::GetElementByCoordinate(), ug::IntersectCoplanarTriangles(), ug::MarkForAdaption_ElementsContainingPoint(), ug::MarkForCoarsen_ElementsByLuaCallback(), ug::MarkForRefinement_CloseToSurface(), ug::MarkForRefinement_ElementsByLuaCallback(), ug::PartitionElements_RegularGrid(), ug::ScaleDomain(), ug::ScaleDomainSqrtWeighting(), ug::ScaleDomainSquaredWeighting(), ug::ScaleDomainWeighting(), and ug::TranslateDomain().

VecCross()

template<typename vector_t >

void ug::VecCross ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2  )

inline

calculates the cross product of two Vectors of dimension 3. It makes no sense to use VecCross for vector_ts that have not dimension 3.

calculates the cross product of two MathVector<N>s of dimension 3. It makes no sense to use VecCross for MathVector<N>s that have not dimension 3. todo: Create compile-time check for dimensionality in case of MathVector type.

Referenced by ug::CalculateAngles(), ug::CalculateMaxDihedral(), ug::CalculateMinDihedral(), ug::CalculateOctahedronVolume(), ug::CalculatePyramidVolume(), ug::CalculateTetrahedronVolume(), ug::CalculateTriangleNormalNoNormalize(), ug::compute_ONB(), ug::ConstructOrthonormalSystem(), ug::DelaunayLineLineIntersection(), ug::ElementNormal< ReferenceEdge, 3 >(), ug::ElementNormal< ReferenceQuadrilateral, 3 >(), ug::ElementNormal< ReferenceTriangle, 3 >(), ug::ElementSize< ReferenceHexahedron, 3 >(), ug::ElementSize< ReferenceOctahedron, 3 >(), ug::ElementSize< ReferencePrism, 3 >(), ug::ElementSize< ReferencePyramid, 3 >(), ug::ElementSize< ReferenceQuadrilateral, 3 >(), ug::ElementSize< ReferenceTetrahedron, 3 >(), ug::ElementSize< ReferenceTriangle, 3 >(), ug::EllipticCylinderProjector::EllipticCylinderProjector(), ug::GenVecCross< 3 >(), ug::PointIsInsideTetrahedron(), ug::EllipticCylinderProjector::serialize(), ug::EllipticCylinderProjector::set_ellipse_axis1(), ug::EllipticCylinderProjector::set_ellipse_axis2(), and ug::SlopeSmooth().

VecDistance()

template<typename vector_t >

vector_t::value_type ug::VecDistance ( const vector_t &  v1, const vector_t &  v2  )

inline

returns the distance of two vector_ts.

returns the distance of two MathVector<N>s.

References ug::VecDistanceSq().

Referenced by ug::NeuriteProjector::axial_range_around_branching_region(), ug::NeuriteProjector::axial_range_around_soma_region(), ug::CalculateHexahedronAspectRatio(), ug::CalculatePyramidAspectRatio(), ug::CheckDoFElem(), ug::collectStretchedElementIndices(), ug::IDWInterpolation< WDim, TPntIterator, TData >::compute(), ug::DistancePointToLine(), ug::DistancePointToPlane(), ug::DistancePointToRay(), ug::DistancePointToTriangle(), ug::EdgeLength(), ug::ElementSize< ReferenceEdge, 1 >(), ug::ElementSize< ReferenceEdge, 2 >(), ug::ElementSize< ReferenceEdge, 3 >(), ug::FindVertexByCoordinate(), ug::MarkForAdaption_GradientAverage(), ug::fv1_traits_ReferenceFace3d::NormalOnSCVF_Face(), ug::DimLocalDoFSet< TDim >::operator==(), ug::SphereProjector::perform_projection(), ug::ProjectVerticesToSphere(), ug::QuadrilateralAspectRatio(), ug::QualityGridGeneration(), ug::RayCylinderIntersection(), ug::RaySphereIntersection(), ug::ScaleDomainSqrtWeighting(), ug::ScaleDomainSquaredWeighting(), ug::ScaleDomainWeighting(), ug::TriangleAspectRatio(), ug::UpdateChainInfo(), and ug::VertexDistance().

VecDistanceSq()

template<typename vector_t >

vector_t::value_type ug::VecDistanceSq ( const vector_t &  v1, const vector_t &  v2  )

inline

returns the squared distance of two vector_ts.

returns the squared distance of two MathVector<N>s.

References ug::VecLengthSq(), and ug::VecSubtract().

Referenced by ug::AdaptSurfaceGridToCylinder(), ug::bp_newton_start_pos(), ug::CalculateBoundingSphere(), ug::DelaunayInfo< TAAPos >::classify_face(), ug::bridge::Evaluate::CloseVertexExists(), ug::Sphere< vector_t >::contains_point(), ug::DelaunayLineLineIntersection(), ug::StdLagrangeElemTransfer< TDomain >::do_restrict(), ug::EdgeLengthSq(), ug::ElementDiameterSq(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::bridge::Evaluate::EvaluateAtVertex(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::FindClosestByCoordinate(), ug::FindClosestVertexInArray(), ug::FindCloseVertexInArray(), ug::FindVertexByCoordiante(), ug::FindVertexByCoordinate(), ug::GetMaxEdgeLength(), ug::UserDataDistIntegrandSq< TData, TGridFunction >::inner_dist2(), ug::IntersectCoplanarTriangles(), ug::Sphere< vector_t >::intersects(), ug::DelaunayInfo< TAAPos >::is_classifiable(), ug::IsDegenerated(), ug::IsSliver(), ug::MakeDelaunay(), ug::MarkForAdaption_VerticesInSphereMaxLvl(), ug::MarkForRefinement_ElementsInSphere(), ug::PerformCollapses(), ug::PerformSplits(), ug::ProjectVerticesToCloseEdges(), ug::ProjectVerticesToCloseFaces(), ug::QualityGridGeneration(), ug::tet_rules::Refine(), ug::RemoveDoubles(), ug::ResolveEdgeEdgeIntersection(), ug::ResolveVertexEdgeIntersection(), ug::ResolveVertexFaceIntersection(), ug::ScaleDomainSqrtWeighting(), ug::ScaleDomainSquaredWeighting(), ug::ScaleDomainWeighting(), ug::SeparateFaceSubsetsByNormal(), ug::SlopeSmooth(), ug::SnapMarkerPointToGridVertex(), ug::SplitOctahedronToTetrahedrons(), ug::TriangleCircumcenter(), ug::TriangleQuality_Area(), ug::UpdateChainInfo(), ug::Valence3VertexIsObsolete(), ug::Valence4VertexIsObsolete(), ug::VecDistance(), and ug::VertexDistanceSq().

VecDot()

template<typename vector_t >

vector_t::value_type ug::VecDot ( const vector_t &  v1, const vector_t &  v2  )

inline

returns the dot-product of two vector_ts

calculates the dot-product of two MathVector<N>s

Referenced by ug::ActiveSet< TDomain, TAlgebra >::active_index_elem(), ug::FV1IBGeometry< TElem, TWorldDim >::adapt(), ug::DimFV1IBGeometry< TDim, TWorldDim >::adapt(), ug::NeumannBoundaryFE< TDomain >::add_rhs_elem(), ug::NeumannBoundaryFV< TDomain >::add_rhs_elem(), ug::NeumannBoundaryFV1< TDomain >::add_rhs_elem(), ug::bp_defect_and_gradient(), ug::bp_newton_start_pos(), ug::CalculateAngles(), ug::CalculateHexahedronAspectRatio(), ug::CalculateMaxAngle(), ug::CalculateMaxDihedral(), ug::CalculateMinAngle(), ug::CalculateMinCurvature(), ug::CalculateMinDihedral(), ug::CalculateNormalDot(), ug::CalculateOctahedronVolume(), ug::CalculatePolychainEdgeNormals(), ug::CalculatePyramidAspectRatio(), ug::CalculateRightBendVal(), ug::CalculateTetrahedronVolume(), ug::ActiveSet< TDomain, TAlgebra >::check_conv_elem(), ug::CheckOrientation(), ug::DelaunayInfo< TAAPos >::classify_face(), ug::NeumannBoundaryFV1< TDomain >::compute_err_est_rhs_elem(), ug::ContainsPoint(), ug::FVPointSourceOrSink< dim, TData >::corresponds_to(), ug::FVLineSourceOrSink< dim, TData >::corresponds_to(), ug::DropAPerpendicular(), ug::ElementSize< ReferenceHexahedron, 3 >(), ug::ElementSize< ReferenceOctahedron, 3 >(), ug::ElementSize< ReferencePrism, 3 >(), ug::ElementSize< ReferencePyramid, 3 >(), ug::ElementSize< ReferenceTetrahedron, 3 >(), ug::LognormalRandomField< TData, dim, TRet >::eval_K(), ug::H1SemiIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), ug::EvaluateGradientJump_SideIntegral(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::FaceQuality(), ug::FindNormal(), ug::GeometricApproximationDegree(), ug::node_tree::Traverser_ProjectPoint::handle_collision_triangles(), ug::UserDataIntegrandSq< TData, TGridFunction >::inner_prod(), ug::UserDataDistIntegrandSq< TData, TGridFunction >::inner_prod(), ug::IntegralNormalComponentOnManifoldGeneral(), ug::IntegralNormalComponentOnManifoldUsingFV1Geom(), ug::IntegrateNormalComponentOnManifold(), ug::IntegrateNormalGradientOnManifold(), ug::IntersectCoplanarTriangles(), ug::MarkCorners(), ug::MarkCreaseEdges(), ug::MarkForRefinement_AnisotropicDirection(), ug::MarkForRefinementByDirection(), ug::MatHouseholder(), ug::MinimizeEdgeLength_SwapsOnly(), ug::linker_traits< MathVector< dim >, MathVector< dim >, number >::mult_add(), ug::PointFaceTest(), ug::PointIsInsideQuadrilateral(), ug::PointIsInsideTetrahedron(), ug::PointIsInsideTriangle(), ug::ClusterElementStacks< elem_t, vector_t >::post_process(), ug::ProjectPointToPlane(), ug::ProjectPointToRay(), ug::ProjectPointToSurface(), ug::QuadDiagonalIsValid(), ug::EllipticCylinderProjector::radial_ellipse_coord(), ug::RayCylinderIntersection(), ug::RayPlaneIntersection(), ug::RayRayProjection(), ug::ReflectVectorAtPlane(), ug::ResolveTriangleIntersections(), ug::EllipticCylinderProjector::scale_point_to_radius(), ug::SelectCreaseEdges(), ug::SelectEdgesByDirection(), ug::SelectLinkedFlatAndDegeneratedFaces(), ug::SelectLinkedFlatFaces(), ug::SelectSmoothEdgePath(), ug::SelectSubsetEdgesByDirection(), ug::SlopeSmooth(), ug::TangentialSmooth(), ug::TriangleCircumcenter(), ug::TriangleFill(), ug::TriangleFill_SweepLine(), ug::TriangleQuality(), ug::Triangulate(), ug::TrySwap(), ug::ConvectionShapesNoUpwind< TDim >::update(), ug::ConvectionShapesFullUpwind< TDim >::update(), ug::ConvectionShapesWeightedUpwind< TDim >::update(), ug::ConvectionShapesPartialUpwind< TDim >::update(), ug::HFV1Geometry< TElem, TWorldDim >::update(), ug::DimHFV1Geometry< TDim, TWorldDim >::update(), ug::UpdateChainInfo(), ug::VecAngle(), ug::VecAngleNorm(), ug::VecDistanceSq(), and ug::WeightedNormalSmooth().

VecInftyNorm()

template<typename vector_t >

vector_t::value_type ug::VecInftyNorm ( const vector_t &  v )

inline

References ug::VecMaxNorm().

VecInterpolateLinear()

template<typename vector_t >

void ug::VecInterpolateLinear ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2, typename vector_t::value_type  interpAmount  )

inline

Referenced by ug::HFV1ManifoldGeometry< TElem, TWorldDim >::update(), ug::HFV1Geometry< TElem, TWorldDim >::update(), and ug::DimHFV1Geometry< TDim, TWorldDim >::update().

VecLength()

template<typename vector_t >

vector_t::value_type ug::VecLength ( const vector_t &  v )

inline

returns the length of v. Slower than VecLengthSq.

References ug::VecLengthSq().

Referenced by ug::ActiveSet< TDomain, TAlgebra >::active_index_elem(), ug::CalculatePyramidVolume(), ug::ActiveSet< TDomain, TAlgebra >::check_conv_elem(), ug::DistanceLineToLine(), ug::EdgeOrientation< TDomain >::elem_evaluate(), ug::FaceQuality(), ug::IntersectCoplanarTriangles(), ug::CylinderProjector::perform_projection(), ug::SomaProjector::perform_projection(), ug::SphereProjector::perform_projection(), ug::SomaProjector::project_to_soma_surface(), ug::RayCylinderIntersection(), ug::RaySphereIntersection(), ug::EllipticCylinderProjector::serialize(), ug::EllipticCylinderProjector::set_ellipse_axis1(), ug::EllipticCylinderProjector::set_ellipse_axis2(), ug::ObstacleInNormalDir< TDomain, TAlgebra >::transform_eulerian_coord_sys(), ug::TriangleArea(), ug::FV1Geometry_gen< TElem, TWorldDim, TCondensed >::update(), ug::VecNormalize(), ug::VecTwoNorm(), and ug::Traverser_RayElementIntersection< tree_t >::visit_up().

VecLengthSq()

template<typename vector_t >

vector_t::value_type ug::VecLengthSq ( const vector_t &  v )

inline

returns the squared length of v. Faster than VecLength.

Referenced by ug::DelaunayLineLineIntersection(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::IntersectCoplanarTriangles(), ug::ParallelShiftIdentifier< TPosAA >::match_impl(), ug::OrderDownwindForDofDist(), ug::ClusterElementStacks< elem_t, vector_t >::post_process(), ug::QualityGridGeneration(), ug::SideAndElemErrEstData< TDomain >::summarize_err_est_data(), ug::VecAngle(), ug::VecDistanceSq(), ug::VecLength(), ug::VecTwoNormSq(), and ug::WeightedEdgeSmooth().

VecMaxNorm()

template<typename vector_t >

vector_t::value_type ug::VecMaxNorm ( const vector_t &  v )

inline

Referenced by ug::VecInftyNorm().

VecNormalize()

template<typename vector_t >

void ug::VecNormalize ( vector_t &  vOut, const vector_t &  v  )

inline

scales a vector_t to unit length

scales a MathVector<N> to unit length

References ug::VecLength(), and ug::VecScale().

Referenced by ug::AdaptSurfaceGridToCylinder(), ug::CalculateAngles(), ug::CalculateBoundaryVertexNormal2D(), ug::CalculateBoundaryVertexNormal3D(), ug::CalculateCreaseNormal(), ug::CalculateMaxAngle(), ug::CalculateMaxDihedral(), ug::CalculateMinAngle(), ug::CalculateMinCurvature(), ug::CalculateMinDihedral(), ug::CalculateNormal(), ug::CalculateNormalNoNormalize(), ug::CalculateOuterNormal(), ug::CalculatePolychainEdgeNormals(), ug::CalculateRightBendVal(), ug::CalculateTriangleNormal(), ug::CalculateVertexNormal(), ug::CalculateVertexNormals(), ug::DelaunayInfo< TAAPos >::classify_face(), ug::CollapseEdge(), ug::compute_angle(), ug::NeumannBoundaryFV1< TDomain >::compute_err_est_rhs_elem(), ug::compute_ONB(), ug::ConstructOrthonormalSystem(), ug::DelaunayLineLineIntersection(), ug::ElementNormal< ReferenceEdge, 3 >(), ug::ElementNormal< ReferenceVertex, 2 >(), ug::ElementNormal< ReferenceVertex, 3 >(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::FindClosestPlane(), ug::FindNormal(), ug::GetColorFromDefaultPalette(), ug::GetEdgeOnTheLeft(), ug::MarkAnisotropicOnlyX(), ug::MarkCorners(), ug::MarkForRefinement_AnisotropicDirection(), ug::MarkForRefinementByDirection(), ug::fv1_traits< ReferenceEdge, 1 >::NormalOnSCVF(), ug::fv1_traits< ReferenceEdge, 2 >::NormalOnSCVF(), ug::fv1_traits< ReferenceEdge, 3 >::NormalOnSCVF(), ug::fv1_traits_ReferenceFace3d::NormalOnSCVF_Face(), ug::ObtainSimpleGrid_CollapseEdge(), ug::ClusterElementStacks< elem_t, vector_t >::post_process(), ug::ProjectPointToPlane(), ug::QualityGridGeneration(), ug::RayCylinderIntersection(), ug::SelectEdgesByDirection(), ug::SelectSmoothEdgePath(), ug::SelectSubsetEdgesByDirection(), ug::SlopeSmooth(), ug::TangentialSmooth(), ug::TriangleFill(), ug::TriangleFill_SweepLine(), ug::TriangleQuality(), ug::TrySplit(), ug::TrySwap(), ug::FVGeometry< TOrder, TElem, TWorldDim, TQuadOrder >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update(), and ug::WeightedNormalSmooth().

VecOneNorm()

template<typename vector_t >

vector_t::value_type ug::VecOneNorm ( const vector_t &  v )

inline

VecPNorm()

template<typename vector_t >

vector_t::value_type ug::VecPNorm ( const vector_t &  v, unsigned int  p  )

inline

References p.

VecPow()

template<typename vector_t >

void ug::VecPow ( vector_t &  vOut, const vector_t &  v1, typename vector_t::value_type  s  )

inline

component-wise exponentiation of a vector

References s.

Referenced by ug::NeuriteProjector::IsElementInsideSphere().

VecScale()

template<typename vector_t >

void ug::VecScale ( vector_t &  vOut, const vector_t &  v, typename vector_t::value_type  s  )

inline

scales a MathVector<N>

References s.

Referenced by ug::ApplySmoothManifoldPosToTopLevelAveragingScheme(), ug::ApplySmoothVolumePosToTopLevel(), ug::NeuriteProjector::average_params(), ug::bp_defect_and_gradient(), ug::lg_ntree_traits_base< tree_dim, world_dim, elem_t_, common_data_t_ >::calculate_center(), ug::ntree< tree_dim, world_dim, TElem, TCommonData >::calculate_center_of_mass(), ug::CalculateBarycenter(), ug::CalculateCenter(), ug::CalculateNormalNoNormalize(), ug::CalculateRightBendVal(), ug::AABox< vector_t >::center(), ug::CollapseEdge(), ug::ComputeElementExtensionsSq(), ug::FileReaderSWC::create_grid(), ug::CreatePrism(), ug::node_tree::CreateSubOctrees(), ug::DropAPerpendicular(), ug::ElementNormal< ReferenceEdge, 3 >(), ug::ElementNormal< ReferenceQuadrilateral, 3 >(), ug::ElementNormal< ReferenceTriangle, 3 >(), ug::DarcyVelocityLinker< dim >::eval_and_deriv(), ug::DarcyVelocityLinker< dim >::evaluate(), ug::ExplicitGridFunctionGradient< TGridFunction >::evaluate(), ug::ExpandFractures2d(), ug::ExpandFractures3d(), ug::ExtrudeCylinder(), ug::FaceQuality(), ug::FindNormal(), ug::GetEdgeOnTheLeft(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local(), ug::node_tree::GrowBox(), ug::IntersectCoplanarTriangles(), ug::LaplacianSmooth(), ug::fv1_traits_ReferenceFace3d::NormalOnSCVF_Face(), ug::CylinderProjector::perform_projection(), ug::EllipticCylinderProjector::perform_projection(), ug::SomaProjector::perform_projection(), ug::SphereProjector::perform_projection(), ug::pos_on_surface_tip(), ug::SomaProjector::project_to_soma_surface(), ug::ProjectPointToPlane(), ug::ProjectPointToRay(), ug::ProjectToLimitPLoop(), ug::QualityGridGeneration(), ug::RayCylinderIntersection(), ug::RayPlaneIntersection(), ug::tet_rules::Refine(), ug::ParallelShiftIdentifier< TPosAA >::set_shift(), ug::SnapMarkerPointToGridVertex(), ug::TangentialSmooth(), ug::TangentialSmoothSimple(), ug::ObstacleInNormalDir< TDomain, TAlgebra >::transform_eulerian_coord_sys(), ug::TriangleFill(), ug::TriangleQuality(), ug::ConvectionShapesNoUpwind< TDim >::update(), ug::ConvectionShapesFullUpwind< TDim >::update(), ug::ConvectionShapesWeightedUpwind< TDim >::update(), ug::ConvectionShapesPartialUpwind< TDim >::update(), ug::VecNormalize(), and ug::Traverser_RayElementIntersection< tree_t >::visit_up().

VecScaleAdd() [1/3]

template<typename vector_t >

void ug::VecScaleAdd ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2  )

inline

Scales two Vectors, adds them and returns the sum in a third vector.

Referenced by ug::AdaptSurfaceGridToCylinder(), ug::ElementSideRayIntersectionWrapper< TRefElem, 2, 2 >::apply(), ug::ElementSideRayIntersectionWrapper< TRefElem, 3, 3 >::apply(), ug::SCVFofSCVRayIntersectionWrapper< 2, 2 >::apply(), ug::BiCGStab< TVector >::apply_return_defect(), ug::CG< TVector >::apply_return_defect(), ug::ApplySmoothManifoldPosToTopLevelAveragingScheme(), ug::ApplySmoothVolumePosToTopLevel(), ug::bridge::AlgebraCommon::VecScaleAddClass< TAlgebra >::assign(), ug::AssignSubsetColorsBlueToGreen(), ug::AssignSubsetColorsRedToGreen(), ug::NeuriteProjector::average_params(), ug::bp_defect_and_gradient(), ug::bp_newton_start_pos(), ug::Partitioner_DynamicBisection< TElem, dim >::calculate_global_dimensions(), ug::PowerMethod< TAlgebra >::calculate_max_eigenvalue(), ug::PowerMethod< TAlgebra >::calculate_min_eigenvalue(), ug::CalculateCenter(), ug::compute_angle(), ug::compute_ONB(), ComputeMidPoints(), ug::ComputeMidPoints(), ug::FVLineSourceOrSink< dim, TData >::corresponds_to(), ug::GenerateIcosahedron(), ug::node_tree::Traverser_ProjectPoint::handle_collision_edges(), ug::IntegrateNormalComponentOnManifold(), ug::IntegrateNormalGradientOnManifold(), ug::InterpolateValues(), ug::LaplacianSmooth(), ug::ReferenceMapping< ReferenceEdge, TWorldDim >::local_to_global(), ug::ReferenceMapping< ReferenceTriangle, TWorldDim >::local_to_global(), ug::ReferenceMapping< ReferenceQuadrilateral, TWorldDim >::local_to_global(), ug::ReferenceMapping< ReferenceTetrahedron, TWorldDim >::local_to_global(), ug::MatMultAdd(), ug::mat_operations_class< vector_t, matrix_t, MATRIX_USE_ROW_FUNCTIONS >::MatMultAdd(), ug::MatMultAddDirect(), ug::CylinderCutProjector::new_vertex(), ug::SubdivisionProjector::new_vertex(), ug::newton_for_bp_projection(), ug::pos_in_bp(), ug::pos_in_neurite(), ug::ProjectToLimitPLoop(), ug::ProjectToLimitSubdivBoundary(), ug::ProjectVerticesToSphere(), ug::ProlongateP1(), ug::QualityGridGeneration(), ug::SubdivisionProjector::refinement_begins(), ug::ReflectVectorAtPlane(), ug::ResolveEdgeEdgeIntersection(), ug::EllipticCylinderProjector::scale_point_to_radius(), ug::StandardLineSearch< TVector >::search(), ug::SetLagrangeEdgeMultiIndex(), ug::SlopeSmooth(), ug::TangentialSmooth(), ug::TangentialSmoothSimple(), ug::ObstacleInNormalDir< TDomain, TAlgebra >::transform_eulerian_coord_sys(), ug::TriangleBarycenter(), ug::TriangleCircumcenter(), ug::FetiLayouts< TAlgebra >::vec_scale_add_on_dual(), ug::FetiLayouts< TAlgebra >::vec_scale_add_on_primal(), ug::FetiLayouts< TAlgebra >::vec_scale_append_on_dual(), ug::FetiLayouts< TAlgebra >::vec_scale_append_on_primal(), ug::VecScaleAdd(), ug::bridge::AlgebraCommon::VecScaleAdd2(), ug::bridge::AlgebraCommon::VecScaleAdd3(), ug::GMRES< TVector >::VecScaleAppend(), ug::VectorAssign(), and ug::WeightedFaceSmooth().

VecScaleAdd() [2/3]

template<typename vector_t >

void ug::VecScaleAdd ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2, typename vector_t::value_type  s3, const vector_t &  v3  )

inline

Scales three Vectors, adds them and returns the sum in a fourth vector.

VecScaleAdd() [3/3]

template<typename vector_t >

void ug::VecScaleAdd ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2, typename vector_t::value_type  s3, const vector_t &  v3, typename vector_t::value_type  s4, const vector_t &  v4  )

inline

Scales four Vectors, adds them and returns the sum in a fifth vector.

VecScaleAppend() [1/4]

template<typename vector_t >

void ug::VecScaleAppend ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1  )

inline

Scales a Vector and adds it to a second vector.

Referenced by ug::bp_defect_and_gradient(), ug::CalculateCenter(), ug::CalculateConstrainedSmoothVolumePosInTopLevel(), ug::CalculateSmoothCreaseManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInParentLevelButterflyScheme(), ug::CalculateSmoothManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInTopLevelAveragingScheme(), ug::CalculateSmoothVolumePosInTopLevel(), ug::DarcyVelocityLinker< dim >::eval_and_deriv(), ug::GridFunctionGradientData< TGridFunction >::eval_and_deriv(), ug::GradientDataExport< dim >::eval_and_deriv(), ug::GridFunctionGradientComponentData< TGridFunction >::eval_and_deriv(), ug::GlobalGridFunctionGradientData< TGridFunction >::evaluate(), ug::ExplicitGridFunctionGradient< TGridFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::H1SemiIntegrand< TGridFunction >::evaluate(), ug::H1EnergyIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), ug::linker_traits< MathVector< dim >, number >::mult_add(), ug::RayRayIntersection2d(), ug::SetLagrangeFaceMultiIndex(), ug::ConvectionShapesWeightedUpwind< TDim >::update(), ug::DimFVGeometry< TWorldDim, TDim >::update_local(), and ug::FVGeometry< TOrder, TElem, TWorldDim, TQuadOrder >::update_local_data().

VecScaleAppend() [2/4]

template<typename vector_t >

void ug::VecScaleAppend ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2  )

inline

Scales two Vectors, adds them and adds the sum to a third vector.

Scales two Vectors, adds the sum to a third vector.

VecScaleAppend() [3/4]

template<typename vector_t >

void ug::VecScaleAppend ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2, typename vector_t::value_type  s3, const vector_t &  v3  )

inline

Scales three Vectors, adds them and adds the sum to a fourth vector.

Scales three Vectors, adds the sum to a fourth vector.

VecScaleAppend() [4/4]

template<typename vector_t >

void ug::VecScaleAppend ( vector_t &  vOut, typename vector_t::value_type  s1, const vector_t &  v1, typename vector_t::value_type  s2, const vector_t &  v2, typename vector_t::value_type  s3, const vector_t &  v3, typename vector_t::value_type  s4, const vector_t &  v4  )

inline

Scales four Vectors, adds them and adds the sum to a fifth vector.

Scales four Vectors, adds the sum to a fifth vector.

VecSet()

template<typename vector_t >

void ug::VecSet ( vector_t &  vInOut, typename vector_t::value_type  s  )

inline

Set each vector component to scalar (componentwise)

Set each vector component to scalar.

References s.

Referenced by ug::AABox< vector_t >::AABox(), ug::ntree< tree_dim, world_dim, TElem, TCommonData >::calculate_center_of_mass(), ug::Partitioner_DynamicBisection< TElem, dim >::calculate_global_dimensions(), ug::CalculateBarycenter(), ug::CalculateBoundaryVertexNormal2D(), ug::CalculateBoundaryVertexNormal3D(), ug::CalculateBoundingBox(), ug::CalculateCenter(), ug::CalculateConstrainedSmoothVolumePosInTopLevel(), ug::CalculateCreaseNormal(), ug::CalculateOuterNormal(), ug::CalculateSmoothCreaseManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInParentLevelButterflyScheme(), ug::CalculateSmoothManifoldPosInParentLevelLoopScheme(), ug::CalculateSmoothManifoldPosInTopLevelAveragingScheme(), ug::CalculateSmoothVolumePosInTopLevel(), ug::ClusterElementStacks< elem_t, vector_t >::ClusterElementStacks(), ug::StdLinConsistentGravity< refDim >::compute(), ug::StdLinConsistentGravityX< refDim >::compute(), ug::ComputeGradientCrouzeixRaviart(), ug::ComputeGradientLagrange1(), ug::GridFunctionGradientData< TGridFunction >::eval_and_deriv(), ug::GradientDataExport< dim >::eval_and_deriv(), ug::GridFunctionGradientComponentData< TGridFunction >::eval_and_deriv(), ug::GradientEvaluator_LagrangeP1< TFunction >::evaluate(), ug::GlobalGridFunctionGradientData< TGridFunction >::evaluate(), ug::ExplicitGridFunctionGradient< TGridFunction >::evaluate(), ug::GlobalGridFunctionNumberData< TGridFunction, elemDim >::evaluate(), ug::L2DistIntegrand< TGridFunction >::evaluate(), ug::H1SemiDistIntegrand< TGridFunction >::evaluate(), ug::H1EnergyDistIntegrand< TGridFunction >::evaluate(), ug::H1DistIntegrand< TGridFunction >::evaluate(), ug::H1ErrorIntegrand< TGridFunction >::evaluate(), ug::H1NormIntegrand< TGridFunction >::evaluate(), ug::UserDataDistIntegrandSq< TData, TGridFunction >::evaluate(), ug::bridge::Evaluate::NumberValuedUserDataEvaluator< TDomain, TAlgebra >::evaluateOnThisProcess(), ug::bridge::Evaluate::VectorValuedUserDataEvaluator< TDomain, TAlgebra >::evaluateOnThisProcess(), ug::PiecewiseConstantLSFS< TRefElem >::grad(), ug::IntegrateNormalComponentOnManifold(), ug::IntegrateNormalGradientOnManifold(), ug::LaplacianSmooth(), ug::MarkForAdaption_GradientAverage(), ug::StdLinConsistentGravity< refDim >::prepare_edge(), ug::StdLinConsistentGravity< refDim >::prepare_quadrilateral(), ug::StdLinConsistentGravity< refDim >::prepare_triangle(), ug::ProjectVerticesToCloseEdges(), ug::ProjectVerticesToCloseFaces(), ug::ProlongateElemwise(), ug::SubdivisionProjector::refinement_begins(), ug::RestrictElemwise(), ug::ConvectionShapesNoUpwind< TDim >::update(), ug::ConvectionShapesFullUpwind< TDim >::update(), ug::ConvectionShapesWeightedUpwind< TDim >::update(), ug::ConvectionShapesPartialUpwind< TDim >::update(), ug::FetiLayouts< TAlgebra >::vec_set_on_dual(), ug::FetiLayouts< TAlgebra >::vec_set_on_primal(), ug::Traverser_RayElementIntersection< tree_t >::visit_up(), ug::WeightedEdgeSmooth(), ug::WeightedFaceSmooth(), and ug::WeightedNormalSmooth().

VecSubtract() [1/2]

template<typename vector_t >

void ug::VecSubtract ( vector_t &  vOut, const vector_t &  v, typename vector_t::value_type  s  )

inline

Subtract a scalar from a vector (componentwise)

References s.

VecSubtract() [2/2]

template<typename vector_t >

void ug::VecSubtract ( vector_t &  vOut, const vector_t &  v1, const vector_t &  v2  )

inline

subtracts v2 from v1 and stores the result in a vOut

Referenced by ug::FV1IBGeometry< TElem, TWorldDim >::adapt(), ug::DimFV1IBGeometry< TDim, TWorldDim >::adapt(), ug::AdaptSurfaceGridToCylinder(), ug::NeuriteProjector::average_params(), ug::lg_ntree_traits_base< tree_dim, world_dim, elem_t_, common_data_t_ >::box_diagonal(), ug::bp_defect_and_gradient(), ug::bp_newton_start_pos(), ug::CalculateAngles(), ug::CalculateCreaseNormal(), ug::CalculateHexahedronAspectRatio(), ug::CalculateMaxAngle(), ug::CalculateMaxDihedral(), ug::CalculateMinAngle(), ug::CalculateMinDihedral(), ug::CalculateMinTriangleHeight(), ug::CalculateNormal(), ug::CalculateNormalNoNormalize(), ug::CalculateOctahedronVolume(), ug::CalculateOuterNormal(), ug::CalculatePolychainEdgeNormals(), ug::CalculatePyramidVolume(), ug::CalculateTetrahedronVolume(), ug::CalculateTriangleNormalNoNormalize(), ug::CheckOrientation(), ug::DelaunayInfo< TAAPos >::classify_face(), ug::ComputeElementExtensionsSq(), ug::ContainsPoint(), ug::FVPointSourceOrSink< dim, TData >::corresponds_to(), ug::FVLineSourceOrSink< dim, TData >::corresponds_to(), ug::CutEdgesWithPlane(), ug::DelaunayLineLineIntersection(), ug::DistancePointToTriangle(), ug::DropAPerpendicular(), ug::EdgeOrientation< TDomain >::elem_evaluate(), ug::ElementNormal< ReferenceEdge, 3 >(), ug::ElementNormal< ReferenceQuadrilateral, 3 >(), ug::ElementNormal< ReferenceTriangle, 3 >(), ug::ElementSize< ReferenceHexahedron, 3 >(), ug::ElementSize< ReferenceOctahedron, 3 >(), ug::ElementSize< ReferencePrism, 3 >(), ug::ElementSize< ReferencePyramid, 3 >(), ug::ElementSize< ReferenceQuadrilateral, 3 >(), ug::ElementSize< ReferenceTetrahedron, 3 >(), ug::ElementSize< ReferenceTriangle, 3 >(), ug::DarcyVelocityLinker< dim >::eval_and_deriv(), ug::DarcyVelocityLinker< dim >::evaluate(), ug::AABox< vector_t >::extension(), ug::ExtrudeLayers(), ug::FaceQuality(), ug::FindNormal(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local(), ug::lg_ntree_traits_base< tree_dim, world_dim, elem_t_, common_data_t_ >::grow_box(), ug::node_tree::GrowBox(), ug::IdentifySubsets(), ug::DelaunayInfo< TAAPos >::init_marks(), ug::IntersectCoplanarTriangles(), ug::IntersectPlaneWithTetrahedron(), ug::DelaunayInfo< TAAPos >::is_classifiable(), ug::NeuriteProjector::IsElementInsideSphere(), ug::LaplacianSmooth(), ug::LineBoxIntersection(), ug::LineLineIntersection2d(), ug::LineLineProjection(), ug::LineSphereIntersection(), ug::MarkAnisotropicOnlyX(), ug::MarkCorners(), ug::MarkForRefinement_AnisotropicDirection(), ug::MarkForRefinementByDirection(), ug::ParallelShiftIdentifier< TPosAA >::match_impl(), ug::MultiEdgeSplit(), ug::CylinderCutProjector::new_vertex(), ug::PlaneCutProjector::new_vertex(), ug::fv1_traits< ReferenceEdge, 2 >::NormalOnSCVF(), ug::fv1_traits< ReferenceEdge, 3 >::NormalOnSCVF(), ug::OrderDownwindForDofDist(), ug::AABox< ug::MathVector< dim > >::overlaps_line(), ug::CylinderProjector::perform_projection(), ug::SomaProjector::perform_projection(), ug::SphereProjector::perform_projection(), ug::PointFaceTest(), ug::PointIsInsideQuadrilateral(), ug::PointIsInsideTetrahedron(), ug::PointIsInsideTriangle(), ug::pos_in_bp(), ug::pos_on_surface_tip(), ug::StdLinConsistentGravityX< refDim >::prepare_simplex(), ug::SomaProjector::project_to_soma_surface(), ug::ProjectPointToLine(), ug::ProjectPointToPlane(), ug::ProjectPointToRay(), ug::ProjectVerticesToSphere(), ug::QualityGridGeneration(), ug::RayCylinderIntersection(), ug::RayLineIntersection2d(), ug::RayPlaneIntersection(), ug::RayRayIntersection2d(), ug::RayRayProjection(), ug::ResolveEdgeFaceIntersection(), ug::EllipticCylinderProjector::scale_point_to_radius(), ug::SelectEdgesByDirection(), ug::SelectKinkVertices(), ug::SelectSmoothEdgePath(), ug::SelectSubsetEdgesByDirection(), ug::SetLagrangeFaceMultiIndex(), ug::SimplifyPolylines(), ug::SideAndElemErrEstData< TDomain >::summarize_err_est_data(), ug::TangentialSmooth(), ug::TransformPointSetTo2D(), ug::TriangleArea(), ug::TriangleBoxIntersection(), ug::TriangleCircumcenter(), ug::TriangleFill(), ug::TriangleFill_SweepLine(), ug::TriangleQuality(), ug::TrySwap(), ug::ReferenceMapping< ReferenceEdge, TWorldDim >::update(), ug::ReferenceMapping< ReferenceTriangle, TWorldDim >::update(), ug::ReferenceMapping< ReferenceTetrahedron, TWorldDim >::update(), ug::HFV1Geometry< TElem, TWorldDim >::update(), ug::DimHFV1Geometry< TDim, TWorldDim >::update(), ug::UpdateChainInfo(), ug::VecDistanceSq(), ug::WeightedEdgeSmooth(), and ug::WeightedFaceSmooth().

VecTwoNorm()

template<typename vector_t >

vector_t::value_type ug::VecTwoNorm ( const vector_t &  v )

inline

References ug::VecLength().

Referenced by ug::NeuriteProjector::average_params(), ug::ComputeGradientCrouzeixRaviart(), ug::ComputeGradientLagrange1(), ug::ComputeGradientPiecewiseConstant(), ug::ElementNormal< ReferenceEdge, 3 >(), ug::ElementSideRayIntersection(), ug::ElementSize< ReferenceQuadrilateral, 3 >(), ug::ElementSize< ReferenceTriangle, 3 >(), ug::EvaluateGradientJump_Norm(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local(), ug::SCVFofSCVRayIntersection(), ug::DimFV1Geometry< TDim, TWorldDim >::update_boundary_faces(), ug::FV1IBGeometry< TElem, TWorldDim >::update_boundary_faces(), ug::DimFV1IBGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::DimCRFVGeometry< TDim, TWorldDim >::update_boundary_faces(), ug::CRFVGeometry< TElem, TWorldDim >::update_boundary_faces(), ug::FVGeometry< TOrder, TElem, TWorldDim, TQuadOrder >::update_boundary_faces(), ug::DimFVGeometry< TWorldDim, TDim >::update_boundary_faces(), and ug::DimFEGeometry< TWorldDim, TRefDim >::update_boundary_faces().

VecTwoNormSq()

template<typename vector_t >

vector_t::value_type ug::VecTwoNormSq ( const vector_t &  v )

inline

References ug::VecLengthSq().

Referenced by ug::H1EnergyIntegrand< TGridFunction >::evaluate(), ug::PointIsInsideQuadrilateral(), ug::PointIsInsideTetrahedron(), and ug::PointIsInsideTriangle().

write_plain_txt() [1/4]

UG_API std::ostream & ug::write_plain_txt	(	std::ostream &	outStream,
		const ug::MathVector< 1 > &	v
	)

plain text output of MathVector objects: space-separated coordinates

References ug::MathVector< N, T >::coord().

write_plain_txt() [2/4]

UG_API std::ostream & ug::write_plain_txt	(	std::ostream &	outStream,
		const ug::MathVector< 2 > &	v
	)

plain text output of MathVector objects: space-separated coordinates

References ug::MathVector< N, T >::coord().

write_plain_txt() [3/4]

UG_API std::ostream & ug::write_plain_txt	(	std::ostream &	outStream,
		const ug::MathVector< 3 > &	v
	)

plain text output of MathVector objects: space-separated coordinates

References ug::MathVector< N, T >::coord().

write_plain_txt() [4/4]

UG_API std::ostream & ug::write_plain_txt	(	std::ostream &	outStream,
		const ug::MathVector< 4 > &	v
	)

plain text output of MathVector objects: space-separated coordinates

References ug::MathVector< N, T >::coord().