viennagrid/algorithm/norm.hpp File Reference

Functions for the computation of norms for vectors. More...

#include <cmath>
#include "viennagrid/forwards.hpp"
#include "viennagrid/point.hpp"

Go to the source code of this file.

Data Structures
struct	norm_impl< Tag >
struct	norm_impl< viennagrid::inf_norm_tag >
	Implementation of the inf-norm. More...
struct	norm_impl< viennagrid::one_norm_tag >
	Implementation of the 1-norm. More...
struct	norm_impl< viennagrid::two_norm_tag >
	Implementation of the 2-norm. More...
Namespaces
namespace	viennagrid
	The main ViennaGrid namespace. Most user functionality resides directly in this namespace rather than in sub-namespaces.
namespace	viennagrid::detail
	Namespace for implementation details. Not intended to be used directly by a library user.
Functions
template<typename PointT , typename Tag >
viennagrid::result_of::coord < PointT >::type	norm (PointT const &p, Tag)
	Returns the norm of a point. The type of the norm is specified by a tag. Supported tags are one_norm_tag, two_norm_tag and inf_norm_tag.
template<typename PointT >
viennagrid::result_of::coord < PointT >::type	norm (PointT const &p)
	Returns the 2-norm of a point. Result is such as if the point were transformed to Cartesian coordinates first.
template<typename PointT >
viennagrid::result_of::coord < PointT >::type	norm_1 (PointT const &p)
	Convenience shortcut for the 1-norm of a vector.
template<typename PointT >
viennagrid::result_of::coord < PointT >::type	norm_2 (PointT const &p)
	Convenience shortcut for the 2-norm of a vector.
template<typename NormTag , typename PointT , typename CoordinateSystemT >
viennagrid::result_of::coord < PointT >::type	norm_impl (PointT const &p, CoordinateSystemT const &)
	Dispatch for a point that needs coordinate conversion.
template<typename NormTag , typename PointT1 , int d>
viennagrid::result_of::coord < PointT1 >::type	norm_impl (PointT1 const &p, cartesian_cs< d >)
	Dispatch for a point that does not need coordinate conversion.
template<typename PointT >
viennagrid::result_of::coord < PointT >::type	norm_inf (PointT const &p)
	Convenience shortcut for the inf-norm of a vector.

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Detailed Description

Functions for the computation of norms for vectors.