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ViennaGrid - The Vienna Grid Library
2.1.0
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Routines for computing the two points of two different objects being closest to each other. More...
#include <iostream>#include <sstream>#include <string>#include <stdexcept>#include <limits>#include <utility>#include "viennagrid/forwards.hpp"#include "viennagrid/topology/all.hpp"#include "viennagrid/algorithm/norm.hpp"#include "viennagrid/algorithm/inner_prod.hpp"#include "viennagrid/algorithm/boundary.hpp"#include "viennagrid/mesh/mesh.hpp"Go to the source code of this file.
Data Structures | |
| struct | ascending_topological_order< T, U, correct_order > |
| struct | ascending_topological_order< T, U, false > |
| struct | topological_id< T > |
| struct | topological_id< segment_handle< SegmentationT > > |
| struct | topological_id< spatial_point< CoordT, CoordinateSystemT > > |
| struct | topological_id< viennagrid::element< hypercube_tag< dim >, WrappedConfigT > > |
| struct | topological_id< viennagrid::element< simplex_tag< dim >, WrappedConfigT > > |
| struct | topological_id< viennagrid::mesh< WrappedConfigT > > |
| struct | topologically_sorted< T, U > |
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 PointAccessorT , typename SomethingT1 , typename SomethingT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points (PointAccessorT const accessor, SomethingT1 const &el1, SomethingT2 const &el2) |
| Returns the distance between n-cells. | |
| template<typename SomethingT1 , typename SomethingT2 > | |
| std::pair< typename viennagrid::result_of::point < SomethingT1 >::type, typename viennagrid::result_of::point < SomethingT1 >::type > | closest_points (SomethingT1 const &el1, SomethingT2 const &el2) |
| Returns the closest points between two elements/segments using the default accessor for geometric points on vertices. | |
| template<typename PointT > | |
| std::pair< PointT, PointT > | closest_points_impl (PointT const &p1, PointT const &p2) |
| template<typename PointAccessorT , typename CoordT1 , typename CoordinateSystemT1 , typename CoordT2 , typename CoordinateSystemT2 > | |
| std::pair< spatial_point < CoordT1, CoordinateSystemT1 > , spatial_point< CoordT2, CoordinateSystemT2 > > | closest_points_impl (PointAccessorT const, spatial_point< CoordT1, CoordinateSystemT1 > const &p1, spatial_point< CoordT2, CoordinateSystemT2 > const &p2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< PointT, typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type > | closest_points_impl (PointAccessorT const accessor, PointT const &p1, viennagrid::element< vertex_tag, WrappedConfigT > const &v2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type, PointT > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT > const &v1, PointT const &p2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type, typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT > const &v1, viennagrid::element< vertex_tag, WrappedConfigT > const &v2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< PointT, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, PointT const &p, viennagrid::element< simplex_tag< 1 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< PointT, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, PointT const &p, viennagrid::element< hypercube_tag< 1 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< simplex_tag< 1 >, WrappedConfigT2 > const &el) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< simplex_tag< 1 >, WrappedConfigT2 > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< simplex_tag< 1 >, WrappedConfigT1 > const &line0, viennagrid::element< simplex_tag< 1 >, WrappedConfigT2 > const &line1) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< hypercube_tag< 1 >, WrappedConfigT1 > const &line0, viennagrid::element< simplex_tag< 1 >, WrappedConfigT2 > const &line1) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< simplex_tag< 1 >, WrappedConfigT1 > const &line0, viennagrid::element< hypercube_tag< 1 >, WrappedConfigT2 > const &line1) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< hypercube_tag< 1 >, WrappedConfigT1 > const &line0, viennagrid::element< hypercube_tag< 1 >, WrappedConfigT2 > const &line1) |
| template<typename PointAccessorT , typename CoordT , typename CoordinateSystemT , typename WrappedConfigT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, spatial_point< CoordT, CoordinateSystemT > const &p, viennagrid::element< simplex_tag< 2 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< simplex_tag< 2 >, WrappedConfigT2 > const &el) |
| template<typename PointAccessorT , typename CoordT , typename CoordinateSystemT , typename WrappedConfigT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, spatial_point< CoordT, CoordinateSystemT > const &p, viennagrid::element< hypercube_tag< 2 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< hypercube_tag< 2 >, WrappedConfigT2 > const &el) |
| template<typename PointAccessorT , typename CoordT , typename CoordinateSystemT , typename WrappedConfigT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, spatial_point< CoordT, CoordinateSystemT > const &p, viennagrid::element< simplex_tag< 3 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< simplex_tag< 3 >, WrappedConfigT2 > const &el) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< PointT, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, PointT const &p, viennagrid::element< hypercube_tag< 3 >, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< hypercube_tag< 3 >, WrappedConfigT2 > const &el) |
| template<typename PointT > | |
| std::pair< PointT, PointT > | closest_points_line_line (PointT const &v0, PointT const &v1, PointT const &w0, PointT const &w1) |
| template<typename PointAccessorT , typename SomethingT1 , typename SomethingT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary (PointAccessorT const accessor, SomethingT1 const &el1, SomethingT2 const &el2) |
| Returns the closest points between two elements/segments using the provided accessor for geometric points on vertices. | |
| template<typename SomethingT1 , typename SomethingT2 > | |
| std::pair< typename viennagrid::result_of::point < SomethingT1 >::type, typename viennagrid::result_of::point < SomethingT1 >::type > | closest_points_on_boundary (SomethingT1 const &el1, SomethingT2 const &el2) |
| Returns the distance between n-cells. | |
| template<typename PointAccessorT , typename SomethingT1 , typename SomethingT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_generic (PointAccessorT const accessor, SomethingT1 const &el1, SomethingT2 const &el2) |
| template<typename PointT > | |
| std::pair< PointT, PointT > | closest_points_on_boundary_impl (PointT const &p1, PointT const &p2) |
| template<typename PointAccessorT , typename CoordT1 , typename CoordinateSystemT1 , typename CoordT2 , typename CoordinateSystemT2 > | |
| std::pair< spatial_point < CoordT1, CoordinateSystemT1 > , spatial_point< CoordT1, CoordinateSystemT1 > > | closest_points_on_boundary_impl (PointAccessorT const, spatial_point< CoordT1, CoordinateSystemT1 > const &p1, spatial_point< CoordT2, CoordinateSystemT2 > const &p2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< PointT, typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type > | closest_points_on_boundary_impl (PointAccessorT const accessor, PointT const &p1, viennagrid::element< vertex_tag, WrappedConfigT > const &v2) |
| template<typename PointAccessorT , typename PointT , typename WrappedConfigT > | |
| std::pair< typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type, typename viennagrid::result_of::point < viennagrid::element < vertex_tag, WrappedConfigT > >::type > | closest_points_on_boundary_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT > const &v1, viennagrid::element< vertex_tag, WrappedConfigT > const &v2) |
| template<typename PointAccessorT , typename PointT , typename ElementTag , typename WrappedConfigT > | |
| std::pair< PointT, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const &mesh_obj, PointT const &v, viennagrid::element< ElementTag, WrappedConfigT > const &el) |
| template<typename PointAccessorT , typename WrappedConfigT , typename PointT > | |
| std::pair< PointT, typename viennagrid::result_of::point < viennagrid::mesh < WrappedConfigT > >::type > | closest_points_on_boundary_impl (PointAccessorT const point_accessor, PointT const &p, mesh< WrappedConfigT > const &mesh_obj) |
| template<typename PointAccessorT , typename SegmentationT , typename PointT > | |
| std::pair< PointT, typename viennagrid::result_of::point < segment_handle < SegmentationT > >::type > | closest_points_on_boundary_impl (PointAccessorT const point_accessor, PointT const &p, segment_handle< SegmentationT > const &segment) |
| template<typename PointAccessorT , typename WrappedConfigT1 , typename EA2 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const accessor, viennagrid::element< vertex_tag, WrappedConfigT1 > const &v, viennagrid::element< EA2, WrappedConfigT2 > const &el) |
| template<typename WrappedMeshConfigType , typename WrappedConfigT > | |
| std::pair< typename viennagrid::result_of::point < mesh< WrappedMeshConfigType > >::type, typename viennagrid::result_of::point < mesh< WrappedMeshConfigType > >::type > | closest_points_on_boundary_impl (viennagrid::element< vertex_tag, WrappedConfigT > const &v, mesh< WrappedMeshConfigType > const &mesh_obj) |
| template<typename PointAccessorT , typename ElementTag1 , typename WrappedConfigT1 , typename ElementTag2 , typename WrappedConfigT2 > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const accessor, viennagrid::element< ElementTag1, WrappedConfigT1 > const &el1, viennagrid::element< ElementTag2, WrappedConfigT2 > const &el2) |
| template<typename PointAccessorT , typename WrappedMeshConfigType , typename ElementTag , typename WrappedConfigT > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const accessor, viennagrid::element< ElementTag, WrappedConfigT > const &el1, mesh< WrappedMeshConfigType > const &mesh_obj) |
| template<typename PointAccessorT , typename SegmentationT , typename ElementTag , typename WrappedConfigT > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const accessor, viennagrid::element< ElementTag, WrappedConfigT > const &el1, segment_handle< SegmentationT > const &segment) |
| template<typename PointAccessorT , typename Segmentation1T , typename Segmentation2T > | |
| std::pair< typename PointAccessorT::value_type, typename PointAccessorT::value_type > | closest_points_on_boundary_impl (PointAccessorT const accessor, segment_handle< Segmentation1T > const &segment1, segment_handle< Segmentation2T > const &segment2) |
| template<typename FacetTypeOrTag , typename PointAccessorT , typename PointT , typename SomethingT > | |
| std::pair< PointT, typename PointAccessorT::value_type > | closest_points_on_boundary_point_to_any (PointAccessorT const accessor, PointT const &p, SomethingT const &cont) |
| template<typename PointT , typename LinePointT > | |
| std::pair< PointT, LinePointT > | closest_points_point_line (PointT const &p, LinePointT const &line_p1, LinePointT const &line_p2) |
| template<typename PointT > | |
| std::pair< PointT, PointT > | closest_points_point_tetrahedron (PointT const &p, PointT const &v0, PointT const &v1, PointT const &v2, PointT const &v3) |
| template<typename PointT > | |
| std::pair< PointT, PointT > | closest_points_point_triangle (PointT const &p, PointT const &v0, PointT const &v1, PointT const &v2) |
| template<typename CoordT , typename CoordinateSystemT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , spatial_point< CoordT, CoordinateSystemT > > const & | point_pair_with_shortest_distance (std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_1, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_2) |
| template<typename CoordT , typename CoordinateSystemT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , spatial_point< CoordT, CoordinateSystemT > > const & | point_pair_with_shortest_distance (std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_1, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_2, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_3) |
| template<typename CoordT , typename CoordinateSystemT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , spatial_point< CoordT, CoordinateSystemT > > const & | point_pair_with_shortest_distance (std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_1, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_2, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_3, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_4) |
| template<typename CoordT , typename CoordinateSystemT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , spatial_point< CoordT, CoordinateSystemT > > const & | point_pair_with_shortest_distance (std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_1, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_2, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_3, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_4, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_5) |
| template<typename CoordT , typename CoordinateSystemT > | |
| std::pair< spatial_point < CoordT, CoordinateSystemT > , spatial_point< CoordT, CoordinateSystemT > > const & | point_pair_with_shortest_distance (std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_1, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_2, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_3, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_4, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_5, std::pair< spatial_point< CoordT, CoordinateSystemT >, spatial_point< CoordT, CoordinateSystemT > > const &pair_6) |
Routines for computing the two points of two different objects being closest to each other.
1.7.6.1