Computes the volume of n-simplices spanned by points. More...
#include <math.h>
#include "viennagrid/forwards.h"
#include "viennagrid/algorithm/cross_prod.hpp"
#include "viennagrid/algorithm/norm.hpp"
#include "viennagrid/algorithm/inner_prod.hpp"
#include "viennagrid/traits/point.hpp"
Go to the source code of this file.
Data Structures | |
struct | spanned_volume_impl< PointType, 1 > |
Implementation of the volume spanned by two points in one dimension. More... | |
struct | spanned_volume_impl< PointType, 2 > |
Implementation of the volume of simplices spanned by points in two geometrical dimension. More... | |
struct | spanned_volume_impl< PointType, 3 > |
Implementation of the volume of simplices spanned by points in three geometrical dimension. More... | |
Namespaces | |
namespace | viennagrid |
The main ViennaGrid namespace. Most functionality resides in this namespace. | |
namespace | viennagrid::detail |
The namespace holding the implementations of domains, segments and ncells as well as some algorithm implementations. Not of interest for library users. | |
Functions | |
template<typename PointType1 , typename PointType2 , typename CSystem1 , typename CSystem2 > | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, CSystem1 const &, CSystem2 const &) |
Dispatch facility for two points with possibly different coordinate systems. | |
template<typename PointType1 , typename PointType2 , typename PointType3 , typename CSystem1 , typename CSystem2 , typename CSystem3 > | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3, CSystem1 const &, CSystem2 const &, CSystem3 const &) |
Dispatch facility for three points with possibly different coordinate systems. | |
template<typename PointType1 , typename PointType2 , typename PointType3 , typename PointType4 , typename CSystem1 , typename CSystem2 , typename CSystem3 , typename CSystem4 > | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3, PointType4 const &p4, CSystem1 const &, CSystem2 const &, CSystem3 const &, CSystem4 const &) |
Dispatch facility for four points with possibly different coordinate systems. | |
template<typename PointType1 , typename PointType2 , long d> | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, cartesian_cs< d >, cartesian_cs< d >) |
Dispatch facility for two points in Cartesian coordinates. | |
template<typename PointType1 , typename PointType2 , typename PointType3 , long d> | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3, cartesian_cs< d >, cartesian_cs< d >, cartesian_cs< d >) |
Dispatch facility for three points in Cartesian coordinates. | |
template<typename PointType1 , typename PointType2 , typename PointType3 , typename PointType4 , long d> | |
traits::value_type< PointType1 > ::type | spanned_volume_impl (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3, PointType4 const &p4, cartesian_cs< d >, cartesian_cs< d >, cartesian_cs< d >, cartesian_cs< d >) |
Dispatch facility for four points in Cartesian coordinates. | |
template<typename PointType1 , typename PointType2 > | |
traits::value_type< PointType1 > ::type | spanned_volume (PointType1 const &p1, PointType2 const &p2) |
Returns the volume of the 1-simplex (line) spanned by the two points. | |
template<typename PointType1 , typename PointType2 , typename PointType3 > | |
traits::value_type< PointType1 > ::type | spanned_volume (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3) |
Returns the two-dimensional volume of the 2-simplex (triangle) spanned by the three points. | |
template<typename PointType1 , typename PointType2 , typename PointType3 , typename PointType4 > | |
traits::value_type< PointType1 > ::type | spanned_volume (PointType1 const &p1, PointType2 const &p2, PointType3 const &p3, PointType4 const &p4) |
Returns the three-dimensional volume of the 3-simplex (tetrahedron) spanned by the four points. |
Computes the volume of n-simplices spanned by points.