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ViennaGrid - The Vienna Grid Library
2.1.0
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Computes the volume of n-simplices spanned by points. More...
#include "viennagrid/forwards.hpp"#include "viennagrid/algorithm/cross_prod.hpp"#include "viennagrid/algorithm/norm.hpp"#include "viennagrid/algorithm/inner_prod.hpp"Go to the source code of this file.
Data Structures | |
| struct | signed_spanned_volume_impl< PointT, 1 > |
| Implementation of the volume spanned by two points in one dimension. More... | |
| struct | signed_spanned_volume_impl< PointT, 2 > |
| Implementation of the volume of simplices spanned by points in two geometrical dimension. More... | |
| struct | signed_spanned_volume_impl< PointT, 3 > |
| Implementation of the volume of simplices spanned by points in three geometrical dimension. 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 PointT1 , typename PointT2 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume (PointT1 const &p1, PointT2 const &p2) |
| Returns the volume of the 1-simplex (line) spanned by the two points. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3) |
| Returns the two-dimensional volume of the 2-simplex (triangle) spanned by the three points. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , typename PointT4 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, PointT4 const &p4) |
| Returns the three-dimensional volume of the 3-simplex (tetrahedron) spanned by the four points. | |
| template<typename PointT1 , typename PointT2 , typename CoordinateSystemT1 , typename CoordinateSystemT2 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, CoordinateSystemT1 const &, CoordinateSystemT2 const &) |
| Dispatch facility for two points with possibly different coordinate systems. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , typename CoordinateSystemT1 , typename CoordinateSystemT2 , typename CoordinateSystemT3 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, CoordinateSystemT1 const &, CoordinateSystemT2 const &, CoordinateSystemT3 const &) |
| Dispatch facility for three points with possibly different coordinate systems. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , typename PointT4 , typename CoordinateSystemT1 , typename CoordinateSystemT2 , typename CoordinateSystemT3 , typename CoordinateSystemT4 > | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, PointT4 const &p4, CoordinateSystemT1 const &, CoordinateSystemT2 const &, CoordinateSystemT3 const &, CoordinateSystemT4 const &) |
| Dispatch facility for four points with possibly different coordinate systems. | |
| template<typename PointT1 , typename PointT2 , int DimV> | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, cartesian_cs< DimV >, cartesian_cs< DimV >) |
| Dispatch facility for two points in Cartesian coordinates. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , int DimV> | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, cartesian_cs< DimV >, cartesian_cs< DimV >, cartesian_cs< DimV >) |
| Dispatch facility for three points in Cartesian coordinates. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , typename PointT4 , int DimV> | |
| viennagrid::result_of::coord < PointT1 >::type | signed_spanned_volume_impl (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, PointT4 const &p4, cartesian_cs< DimV >, cartesian_cs< DimV >, cartesian_cs< DimV >, cartesian_cs< DimV >) |
| Dispatch facility for four points in Cartesian coordinates. | |
| template<typename PointT1 , typename PointT2 > | |
| viennagrid::result_of::coord < PointT1 >::type | spanned_volume (PointT1 const &p1, PointT2 const &p2) |
| Returns the volume of the 1-simplex (line) spanned by the two points. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 > | |
| viennagrid::result_of::coord < PointT1 >::type | spanned_volume (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3) |
| Returns the two-dimensional volume of the 2-simplex (triangle) spanned by the three points. | |
| template<typename PointT1 , typename PointT2 , typename PointT3 , typename PointT4 > | |
| viennagrid::result_of::coord < PointT1 >::type | spanned_volume (PointT1 const &p1, PointT2 const &p2, PointT3 const &p3, PointT4 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.
1.7.6.1