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1.9.1
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AXOM
Axom provides a robust, flexible software infrastructure for the development of multi-physics applications and computational tools.
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Consists of methods to compute the generalized winding number (GWN) for points with respect to various geometric objects. More...
#include "axom/core.hpp"#include "axom/config.hpp"#include "axom/primal/geometry/Point.hpp"#include "axom/primal/geometry/Segment.hpp"#include "axom/primal/geometry/Triangle.hpp"#include "axom/primal/geometry/Polygon.hpp"#include "axom/primal/geometry/Polyhedron.hpp"#include "axom/primal/geometry/BezierCurve.hpp"#include "axom/primal/geometry/NURBSCurve.hpp"#include "axom/primal/geometry/BezierPatch.hpp"#include "axom/primal/geometry/NURBSPatch.hpp"#include "axom/primal/geometry/CurvedPolygon.hpp"#include "axom/primal/geometry/BoundingBox.hpp"#include "axom/primal/geometry/OrientedBoundingBox.hpp"#include "axom/primal/operators/detail/winding_number_2d_impl.hpp"#include "axom/primal/operators/detail/winding_number_2d_memoization.hpp"#include "axom/primal/operators/detail/winding_number_3d_impl.hpp"#include "axom/primal/operators/detail/winding_number_3d_memoization.hpp"#include <cmath>Classes | |
| struct | axom::primal::WindingTolerances |
| Struct containing tolerances shared across GWN values with sensible defaults. More... | |
Namespaces | |
| axom | |
| axom::primal | |
Functions | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const Segment< T, 2 > &s, double edge_tol=1e-8) |
| Compute the GWN for a 2D point wrt a 2D line segment. More... | |
| template<typename T > | |
| int | axom::primal::winding_number (const Point< T, 2 > &q, const Triangle< T, 2 > &tri, bool includeBoundary=false, double edge_tol=1e-8) |
| Compute the winding number for a 2D point wrt a 2D triangle. More... | |
| template<typename T > | |
| int | axom::primal::winding_number (const Point< T, 2 > &R, const Polygon< T, 2 > &P, bool &isOnEdge, bool includeBoundary=false, double edge_tol=1e-8) |
| Computes the winding number for a 2D point wrt a 2D polygon. More... | |
| template<typename T > | |
| int | axom::primal::winding_number (const Point< T, 2 > &R, const Polygon< T, 2 > &P, bool includeBoundary=false, double edge_tol=1e-8) |
| Computes the winding number for a 2D point wrt a 2D polygon. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const NURBSCurve< T, 2 > &n, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt a 2D NURBS curve. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const BezierCurve< T, 2 > &bezier, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt a 2D NURBS curve. More... | |
| template<typename T , typename CurveType > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const CurvedPolygon< CurveType > &cpoly, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt to a 2D curved polygon. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const axom::Array< BezierCurve< T, 2 >> &carray, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt to a collection of 2D Bezier curves. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const axom::Array< NURBSCurve< T, 2 >> &narray, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt to a collection of 2D NURBS curves. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &query, const detail::NURBSCurveGWNCache< T > &nurbs_cache, bool &isOnCurve, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt memoized data for a 2D NURBS curve. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &q, const detail::NURBSCurveGWNCache< T > &nurbs_cache, double edge_tol=1e-8, double EPS=1e-8) |
| Overload without optional return parameter. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &query, const axom::Array< detail::NURBSCurveGWNCache< T >> &nurbs_curve_arr, bool &isOnCurve, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for a 2D point wrt an array of memoized data for 2D NURBS curves. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 2 > &query, const axom::Array< detail::NURBSCurveGWNCache< T >> &nurbs_curve_arr, double edge_tol=1e-8, double EPS=1e-8) |
| Overload without optional return parameter. More... | |
| template<typename T > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 2 >> &query_arr, const axom::Array< detail::NURBSCurveGWNCache< T >> &nurbs_curve_arr, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for an array of 2D points wrt an array of cached data for 2D NURBS curves. More... | |
| template<typename T , typename CurveType > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 2 >> &query_arr, const axom::Array< CurveType > &curve_arr, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for an array of 2D points wrt an array of generic 2D curves. More... | |
| template<typename T , typename CurveType > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 2 >> &q_arr, const CurvedPolygon< CurveType > &cpoly, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for an array of 2D points wrt to a 2D curved polygon. More... | |
| template<typename T > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 2 >> &q_arr, const CurvedPolygon< detail::NURBSCurveGWNCache< T >> &cpoly, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the GWN for an array of 2D points wrt to a 2D curved polygon. More... | |
Winding number operations between 3D points and primitives | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 3 > &q, const Triangle< T, 3 > &tri, bool &isOnFace, const double edge_tol=1e-8, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a 3D triangle. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 3 > &q, const Triangle< T, 3 > &tri, const double edge_tol=1e-8, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a 3D triangle. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 3 > &q, const Polygon< T, 3 > &poly, bool &isOnFace, const double edge_tol=1e-8, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a 3D planar polygon. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 3 > &q, const Polygon< T, 3 > &poly, const double edge_tol=1e-8, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a 3D planar polygon. More... | |
| template<typename T > | |
| int | axom::primal::winding_number (const Point< T, 3 > &q, const Polyhedron< T, 3 > &poly, bool includeBoundary=false, double edge_tol=1e-8, double EPS=1e-8) |
| Computes the winding number for a 3D point wrt a 3D convex polyhedron. More... | |
| template<typename T > | |
| double | axom::primal::winding_number (const Point< T, 3 > &query, const detail::NURBSPatchGWNCache< T > &nurbs, const double edge_tol=1e-8, const double ls_tol=1e-8, const double quad_tol=1e-8, const double disk_size=0.01, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a 3D NURBS patch with precomputed data. More... | |
| template<typename T , typename SurfaceType > | |
| double | axom::primal::winding_number (const Point< T, 3 > &query, const SurfaceType &surf, const double edge_tol=1e-8, const double ls_tol=1e-8, const double quad_tol=1e-8, const double disk_size=0.01, const double EPS=1e-8) |
| Computes the GWN for a 3D point wrt a generic 3D surface object. More... | |
| template<typename T > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 3 >> &query_arr, const axom::Array< detail::NURBSPatchGWNCache< T >> &nurbs_arr, const double edge_tol=1e-8, const double ls_tol=1e-8, const double quad_tol=1e-8, const double disk_size=0.01, const double EPS=1e-8) |
| Computes the GWN for an array of 3D point wrt an array of NURBS patch cache data. More... | |
| template<typename T , typename SurfaceType > | |
| axom::Array< double > | axom::primal::winding_number (const axom::Array< Point< T, 3 >> &query_arr, const axom::Array< SurfaceType > &surf_arr, const double edge_tol=1e-8, const double ls_tol=1e-8, const double quad_tol=1e-8, const double disk_size=0.01, const double EPS=1e-8) |
| Computes the GWN for an array an array of 3D points wrt an array of generic surfaces. More... | |
Consists of methods to compute the generalized winding number (GWN) for points with respect to various geometric objects.
1.9.1