dotproduct.hh File Reference

Provides the functions dot(a,b) := \(a^H \cdot b \) and dotT(a,b) := \(a^T \cdot b \). More...

#include "ftraits.hh"
#include "typetraits.hh"
#include "promotiontraits.hh"

Go to the source code of this file.

Namespaces
namespace	Dune
	Dune namespace.

Functions
template<class A , class B >
enable_if<!IsVector< A >::value &&!is_same< typenameFieldTraits< A >::field_type, typenameFieldTraits< A >::real_type >::value, typenamePromotionTraits< A, B >::PromotedType >::type	Dune::dot (const A &a, const B &b)
	computes the dot product for fundamental data types according to Petsc's VectDot function: dot(a,b) := std::conj(a)*b More...
template<class A , class B >
enable_if<!IsVector< A >::value &&is_same< typenameFieldTraits< A >::field_type, typenameFieldTraits< A >::real_type >::value, typenamePromotionTraits< A, B >::PromotedType >::type	Dune::dot (const A &a, const B &b)
	computes the dot product for fundamental data types according to Petsc's VectDot function: dot(a,b) := std::conj(a)*b More...
template<typename A , typename B >
enable_if< IsVector< A >::value, typenamePromotionTraits< typenameA::field_type, typenameB::field_type >::PromotedType >::type	Dune::dot (const A &a, const B &b)
	computes the dot product for various dune vector types according to Petsc's VectDot function: dot(a,b) := std::conj(a)*b More...
template<class A , class B >
enable_if<!IsVector< A >::value &&!is_same< typenameFieldTraits< A >::field_type, typenameFieldTraits< A >::real_type >::value, typenamePromotionTraits< A, B >::PromotedType >::type	Dune::dotT (const A &a, const B &b)
	Computes an indefinite vector dot product for fundamental data types according to Petsc's VectTDot function: dotT(a,b) := a*b. More...
template<class A , class B >
enable_if< IsVector< A >::value, typenamePromotionTraits< typenameA::field_type, typenameB::field_type >::PromotedType >::type	Dune::dotT (const A &a, const B &b)
	Computes an indefinite vector dot product for various dune vector types according to Petsc's VectTDot function: dotT(a,b) := a*b. More...

Detailed Description

Provides the functions dot(a,b) := \(a^H \cdot b \) and dotT(a,b) := \(a^T \cdot b \).

The provided dot products dot,dotT are used to compute (indefinite) dot products for fundamental types as well as DUNE vector types, such as DenseVector, FieldVector, ISTLVector. Note that the definition of dot(a,b) conjugates the first argument. This agrees with the behvaior of Matlab and Petsc, but noch with BLAS.

Author

Jö Fahlke, Matthias Wohlmuth