dune-common
2.3.1
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Interface for a class of dense vectors over a given field. More...
#include <dune/common/densevector.hh>
Public Types | |
enum | { blocklevel = 1 } |
We are at the leaf of the block recursion. More... | |
typedef Traits::derived_type | derived_type |
type of derived vector class More... | |
typedef Traits::value_type | value_type |
export the type representing the field More... | |
typedef Traits::value_type | field_type |
export the type representing the field More... | |
typedef Traits::value_type | block_type |
export the type representing the components More... | |
typedef Traits::size_type | size_type |
The type used for the index access and size operation. More... | |
typedef DenseIterator < DenseVector, value_type > | Iterator |
Iterator class for sequential access. More... | |
typedef Iterator | iterator |
typedef for stl compliant access More... | |
typedef DenseIterator< const DenseVector, const value_type > | ConstIterator |
ConstIterator class for sequential access. More... | |
typedef ConstIterator | const_iterator |
typedef for stl compliant access More... | |
Public Member Functions | |
derived_type & | operator= (const value_type &k) |
Assignment operator for scalar. More... | |
value_type & | operator[] (size_type i) |
random access More... | |
const value_type & | operator[] (size_type i) const |
size_type | size () const |
size method More... | |
Iterator | begin () |
begin iterator More... | |
Iterator | end () |
end iterator More... | |
Iterator | beforeEnd () |
Iterator | beforeBegin () |
Iterator | find (size_type i) |
return iterator to given element or end() More... | |
ConstIterator | begin () const |
begin ConstIterator More... | |
ConstIterator | end () const |
end ConstIterator More... | |
ConstIterator | beforeEnd () const |
ConstIterator | beforeBegin () const |
ConstIterator | find (size_type i) const |
return iterator to given element or end() More... | |
template<class Other > | |
derived_type & | operator+= (const DenseVector< Other > &y) |
vector space addition More... | |
template<class Other > | |
derived_type & | operator-= (const DenseVector< Other > &y) |
vector space subtraction More... | |
template<class Other > | |
derived_type | operator+ (const DenseVector< Other > &b) const |
Binary vector addition. More... | |
template<class Other > | |
derived_type | operator- (const DenseVector< Other > &b) const |
Binary vector subtraction. More... | |
derived_type & | operator+= (const value_type &k) |
vector space add scalar to all comps More... | |
derived_type & | operator-= (const value_type &k) |
vector space subtract scalar from all comps More... | |
derived_type & | operator*= (const value_type &k) |
vector space multiplication with scalar More... | |
derived_type & | operator/= (const value_type &k) |
vector space division by scalar More... | |
template<class Other > | |
bool | operator== (const DenseVector< Other > &y) const |
Binary vector comparison. More... | |
template<class Other > | |
bool | operator!= (const DenseVector< Other > &y) const |
Binary vector incomparison. More... | |
template<class Other > | |
derived_type & | axpy (const value_type &a, const DenseVector< Other > &y) |
vector space axpy operation ( *this += a y ) More... | |
template<class Other > | |
PromotionTraits< field_type, typename DenseVector< Other > ::field_type >::PromotedType | operator* (const DenseVector< Other > &y) const |
indefinite vector dot product ![]() | |
template<class Other > | |
PromotionTraits< field_type, typename DenseVector< Other > ::field_type >::PromotedType | dot (const DenseVector< Other > &y) const |
vector dot product ![]() | |
FieldTraits< value_type > ::real_type | one_norm () const |
one norm (sum over absolute values of entries) More... | |
FieldTraits< value_type > ::real_type | one_norm_real () const |
simplified one norm (uses Manhattan norm for complex values) More... | |
FieldTraits< value_type > ::real_type | two_norm () const |
two norm sqrt(sum over squared values of entries) More... | |
FieldTraits< value_type > ::real_type | two_norm2 () const |
square of two norm (sum over squared values of entries), need for block recursion More... | |
FieldTraits< value_type > ::real_type | infinity_norm () const |
infinity norm (maximum of absolute values of entries) More... | |
FieldTraits< value_type > ::real_type | infinity_norm_real () const |
simplified infinity norm (uses Manhattan norm for complex values) More... | |
size_type | N () const |
number of blocks in the vector (are of size 1 here) More... | |
size_type | dim () const |
dimension of the vector space More... | |
Protected Member Functions | |
DenseVector () | |
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... | |
Interface for a class of dense vectors over a given field.
V | implementation class of the vector |
T | value type |
S | size type |
V has to provide the following members:
typedef Traits::value_type Dune::DenseVector< V >::block_type |
export the type representing the components
typedef ConstIterator Dune::DenseVector< V >::const_iterator |
typedef for stl compliant access
typedef DenseIterator<const DenseVector,const value_type> Dune::DenseVector< V >::ConstIterator |
ConstIterator class for sequential access.
typedef Traits::derived_type Dune::DenseVector< V >::derived_type |
type of derived vector class
typedef Traits::value_type Dune::DenseVector< V >::field_type |
export the type representing the field
typedef DenseIterator<DenseVector,value_type> Dune::DenseVector< V >::Iterator |
Iterator class for sequential access.
typedef Iterator Dune::DenseVector< V >::iterator |
typedef for stl compliant access
typedef Traits::size_type Dune::DenseVector< V >::size_type |
The type used for the index access and size operation.
typedef Traits::value_type Dune::DenseVector< V >::value_type |
export the type representing the field
anonymous enum |
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vector space axpy operation ( *this += a y )
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begin iterator
Referenced by Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm(), and Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm_real().
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begin ConstIterator
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dimension of the vector space
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vector dot product which corresponds to Petsc's VecDot
http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecDot.html
y | other vector |
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end iterator
Referenced by Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm(), and Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm_real().
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end ConstIterator
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return iterator to given element or end()
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return iterator to given element or end()
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infinity norm (maximum of absolute values of entries)
Referenced by Dune::DiagonalMatrix< K, n >::infinity_norm().
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simplified infinity norm (uses Manhattan norm for complex values)
Referenced by Dune::DiagonalMatrix< K, n >::infinity_norm_real().
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number of blocks in the vector (are of size 1 here)
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one norm (sum over absolute values of entries)
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simplified one norm (uses Manhattan norm for complex values)
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Binary vector incomparison.
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indefinite vector dot product which corresponds to Petsc's VecTDot
http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecTDot.html
y | other vector |
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vector space multiplication with scalar
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Binary vector addition.
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vector space addition
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vector space add scalar to all comps
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Binary vector subtraction.
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vector space subtraction
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vector space subtract scalar from all comps
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vector space division by scalar
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Assignment operator for scalar.
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Binary vector comparison.
Referenced by Dune::DenseVector< FieldVector< T, SIZE > >::operator!=().
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random access
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size method
Referenced by Dune::DenseVector< FieldVector< T, SIZE > >::axpy(), Dune::DenseVector< FieldVector< T, SIZE > >::beforeEnd(), Dune::DenseVector< FieldVector< T, SIZE > >::dim(), Dune::DenseVector< FieldVector< T, SIZE > >::dot(), Dune::DenseVector< FieldVector< T, SIZE > >::end(), Dune::FieldVector< T, COLS >::FieldVector(), Dune::DenseVector< FieldVector< T, SIZE > >::find(), Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm(), Dune::DenseVector< FieldVector< T, SIZE > >::infinity_norm_real(), Dune::DenseMatrixHelp::multAssign(), Dune::DenseVector< FieldVector< T, SIZE > >::N(), Dune::DenseVector< FieldVector< T, SIZE > >::one_norm(), Dune::DenseVector< FieldVector< T, SIZE > >::one_norm_real(), Dune::DenseVector< FieldVector< T, SIZE > >::operator*(), Dune::DenseVector< FieldVector< T, SIZE > >::operator*=(), Dune::DenseVector< FieldVector< T, SIZE > >::operator+=(), Dune::DenseVector< FieldVector< T, SIZE > >::operator-=(), Dune::DenseVector< FieldVector< T, SIZE > >::operator/=(), Dune::DenseVector< FieldVector< T, SIZE > >::operator=(), Dune::DenseVector< FieldVector< T, SIZE > >::operator==(), Dune::DenseVector< FieldVector< T, SIZE > >::two_norm(), and Dune::DenseVector< FieldVector< T, SIZE > >::two_norm2().
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two norm sqrt(sum over squared values of entries)
Referenced by Dune::DiagonalMatrix< K, n >::frobenius_norm().
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square of two norm (sum over squared values of entries), need for block recursion
Referenced by Dune::DiagonalMatrix< K, n >::frobenius_norm2().