Interface for a class of dense vectors over a given field. More...

#include <dune/common/densevector.hh>

Public Types
typedef Traits::derived_type	derived_type
	type of derived vector class

typedef Traits::value_type	value_type
	export the type representing the field

typedef FieldTraits< value_type >::field_type	field_type
	export the type representing the field

typedef Traits::value_type	block_type
	export the type representing the components

typedef Traits::size_type	size_type
	The type used for the index access and size operation.

typedef DenseIterator< DenseVector, value_type >	Iterator
	Iterator class for sequential access.

typedef Iterator	iterator
	typedef for stl compliant access

typedef DenseIterator< const DenseVector, const value_type >	ConstIterator
	ConstIterator class for sequential access.

typedef ConstIterator	const_iterator
	typedef for stl compliant access

Public Member Functions
derived_type &	operator= (const value_type &k)
	Assignment operator for scalar.

template<typename W , std::enable_if_t< std::is_assignable< value_type &, typename DenseVector< W >::value_type >::value, int > = 0>
derived_type &	operator= (const DenseVector< W > &other)
	Assignment operator for other DenseVector of different type.

value_type &	operator[] (size_type i)
	random access

value_type &	front ()
	return reference to first element

const value_type &	front () const
	return reference to first element

value_type &	back ()
	return reference to last element

const value_type &	back () const
	return reference to last element

bool	empty () const
	checks whether the container is empty

size_type	size () const
	size method

Iterator	begin ()
	begin iterator

Iterator	end ()
	end iterator

Iterator	beforeEnd ()

Iterator	beforeBegin ()

Iterator	find (size_type i)
	return iterator to given element or end()

ConstIterator	begin () const
	begin ConstIterator

ConstIterator	end () const
	end ConstIterator

ConstIterator	beforeEnd () const

ConstIterator	beforeBegin () const

ConstIterator	find (size_type i) const
	return iterator to given element or end()

template<class Other >
derived_type &	operator+= (const DenseVector< Other > &x)
	vector space addition

template<class Other >
derived_type &	operator-= (const DenseVector< Other > &x)
	vector space subtraction

template<class Other >
derived_type	operator+ (const DenseVector< Other > &b) const
	Binary vector addition.

template<class Other >
derived_type	operator- (const DenseVector< Other > &b) const
	Binary vector subtraction.

derived_type	operator- () const
	Vector negation.

template<typename ValueType >
std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator+= (const ValueType &kk)
	vector space add scalar to all comps More...

template<typename ValueType >
std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator-= (const ValueType &kk)
	vector space subtract scalar from all comps More...

template<typename FieldType >
std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator*= (const FieldType &kk)
	vector space multiplication with scalar More...

template<typename FieldType >
std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator/= (const FieldType &kk)
	vector space division by scalar More...

template<class Other >
bool	operator== (const DenseVector< Other > &x) const
	Binary vector comparison.

template<class Other >
bool	operator!= (const DenseVector< Other > &x) const
	Binary vector incomparison.

template<class Other >
derived_type &	axpy (const field_type &a, const DenseVector< Other > &x)
	vector space axpy operation ( *this += a x )

template<class Other >
PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	operator* (const DenseVector< Other > &x) const
	indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot More...

template<class Other >
PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	dot (const DenseVector< Other > &x) const
	vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot More...

FieldTraits< value_type >::real_type	one_norm () const
	one norm (sum over absolute values of entries)

FieldTraits< value_type >::real_type	one_norm_real () const
	simplified one norm (uses Manhattan norm for complex values)

FieldTraits< value_type >::real_type	two_norm () const
	two norm sqrt(sum over squared values of entries)

FieldTraits< value_type >::real_type	two_norm2 () const
	square of two norm (sum over squared values of entries), need for block recursion

template<typename vt = value_type, typename std::enable_if<!HasNaN< vt >::value, int >::type = 0>
FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (maximum of absolute values of entries)

template<typename vt = value_type, typename std::enable_if<!HasNaN< vt >::value, int >::type = 0>
FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)

template<typename vt = value_type, typename std::enable_if< HasNaN< vt >::value, int >::type = 0>
FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (maximum of absolute values of entries)

template<typename vt = value_type, typename std::enable_if< HasNaN< vt >::value, int >::type = 0>
FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)

size_type	N () const
	number of blocks in the vector (are of size 1 here)

size_type	dim () const
	dimension of the vector space

Static Public Attributes
static constexpr int	blocklevel = 1
	The number of block levels we contain. This is the leaf, that is, 1.

Protected Member Functions
DenseVector &	operator= (const DenseVector &)=default
	Assignment operator for other DenseVector of same type.

Related Functions
(Note that these are not member functions.)
template<typename V >
std::ostream &	operator<< (std::ostream &s, const DenseVector< V > &v)
	Write a DenseVector to an output stream. More...

Detailed Description

template<typename V>
class Dune::DenseVector< V >

Interface for a class of dense vectors over a given field.

Template Parameters

V	implementation class of the vector

Member Function Documentation

◆ beforeBegin() [1/2]

template<typename V >

Iterator Dune::DenseVector< V >::beforeBegin ( )

inline

Returns: an iterator that is positioned before the first entry of the vector.

◆ beforeBegin() [2/2]

template<typename V >

ConstIterator Dune::DenseVector< V >::beforeBegin ( ) const

inline

Returns: an iterator that is positioned before the first entry of the vector.

◆ beforeEnd() [1/2]

template<typename V >

Iterator Dune::DenseVector< V >::beforeEnd ( )

inline

Returns: an iterator that is positioned before the end iterator of the vector, i.e. at the last entry.

References Dune::DenseVector< V >::size().

◆ beforeEnd() [2/2]

template<typename V >

ConstIterator Dune::DenseVector< V >::beforeEnd ( ) const

inline

Returns: an iterator that is positioned before the end iterator of the vector. i.e. at the last element

References Dune::DenseVector< V >::size().

◆ dot()

template<typename V >

template<class Other >

PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType Dune::DenseVector< V >::dot ( const DenseVector< Other > & x ) const

inline

vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot

http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecDot.html

Parameters

x	other vector

Returns

References Dune::dot(), and Dune::DenseVector< V >::size().

◆ operator*()

template<typename V >

template<class Other >

PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType Dune::DenseVector< V >::operator* ( const DenseVector< Other > & x ) const

inline

indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot

http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecTDot.html

Parameters

x	other vector

Returns

References Dune::DenseVector< V >::size().

◆ operator*=()

template<typename V >

template<typename FieldType >

std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type & Dune::DenseVector< V >::operator*= ( const FieldType & kk )

inline

vector space multiplication with scalar

we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to field_type.

References Dune::DenseVector< V >::size().

◆ operator+=()

template<typename V >

template<typename ValueType >

std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type & Dune::DenseVector< V >::operator+= ( const ValueType & kk )

inline

vector space add scalar to all comps

we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to value_type.

References Dune::DenseVector< V >::size().

◆ operator-=()

template<typename V >

template<typename ValueType >

std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type & Dune::DenseVector< V >::operator-= ( const ValueType & kk )

inline

vector space subtract scalar from all comps

we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to value_type.

References Dune::DenseVector< V >::size().

◆ operator/=()

template<typename V >

template<typename FieldType >

std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type & Dune::DenseVector< V >::operator/= ( const FieldType & kk )

inline

vector space division by scalar

we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to field_type.

References Dune::DenseVector< V >::size().

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

dune/common/densevector.hh

DUNE Distributed and Unified Numerics Environment

DUNE PDELab (git)

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Related Functions

Detailed Description

Member Function Documentation

◆ beforeBegin() [1/2]

◆ beforeBegin() [2/2]

◆ beforeEnd() [1/2]

◆ beforeEnd() [2/2]

◆ dot()

◆ operator*()

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator/=()