Algorithms for geometry computations (intersections, distances, ...). More...

Description

Algorithms for geometry computations (intersections, distances, ...).

Files
file	boundingboxtree.hh
	An axis-aligned bounding box volume hierarchy for dune grids.

file	diameter.hh
	A function to compute a geometry's diameter, i.e. the longest distance between points of a geometry.

file	distance.hh
	Helper functions for distance queries.

file	geometricentityset.hh
	An interface for a set of geometric entities.

file	geometryintersection.hh
	A class for collision detection of two geometries and computation of intersection corners.

file	grahamconvexhull.hh
	A function to compute the convex hull of a point cloud and a function to triangulate the polygon area spanned by the convex hull.

file	intersectingentities.hh
	Algorithms that finds which geometric entites intersect.

file	intersectionentityset.hh
	A class representing the intersection entites two geometric entity sets.

file	intersectspointgeometry.hh
	Detect if a point intersects a geometry.

file	intersectspointsimplex.hh
	Detect if a point intersects a simplex (including boundary)

file	makegeometry.hh
	Create Dune geometries from user-specified points.

file	normal.hh
	Helper functions for normals.

file	refinementquadraturerule.hh
	A quadrature based on refinement.

file	triangulation.hh
	Functionality to triangulate point clouds.

Classes
class	Dumux::BoundingBoxTree< GeometricEntitySet >
	An axis-aligned bounding box volume tree implementation. More...

class	Dumux::GridViewGeometricEntitySet< GridView, codim, Mapper >
	An interface for a set of geometric entities based on a GridView. More...

class	Dumux::GeometriesEntitySet< GeoType >
	An interface for a set of geometric entities. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, dimworld, dim1, dim2 >
	A class for geometry collision detection and intersection calculation The class can be specialized for combinations of dimworld, dim1, dim2, where dimworld is the world dimension embedding a grid of dim1 and a grid of dim2. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 2, 1, 1 >
	A class for segment–segment intersection in 2d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 2, 2, 1 >
	A class for polygon–segment intersection in 2d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 2, 1, 2 >
	A class for segment–polygon intersection in 2d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 2, 2, 2 >
	A class for polygon–polygon intersection in 2d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 1 >
	A class for polyhedron–segment intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 1, 3 >
	A class for segment–polyhedron intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 3, 2 >
	A class for polyhedron–polygon intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 2, 3 >
	A class for polygon–polyhedron intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 2, 1 >
	A class for polygon–segment intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 1, 2 >
	A class for segment–polygon intersection in 3d space. More...

class	Dumux::GeometryIntersection< Geometry1, Geometry2, Policy, 3, 1, 1 >
	A class for segment–segment intersection in 3d space. More...

class	Dumux::IntersectionInfo< dimworld, CoordTypeA, CoordTypeB >
	An intersection object resulting from the intersection of two primitives in an entity set. More...

class	Dumux::IntersectionEntitySet< DomainEntitySet, TargetEntitySet >
	A class representing the intersection entites two geometric entity sets. More...

class	Dumux::RefinementQuadratureRule< ct, mydim >
	A "quadrature" based on virtual refinement. More...

Functions
template<class ctype , int dimworld>
bool	Dumux::intersectsPointBoundingBox (const Dune::FieldVector< ctype, dimworld > &point, const Dune::FieldVector< ctype, dimworld > &min, const Dune::FieldVector< ctype, dimworld > &max)
	Determine if a point intersects an axis-aligned bounding box The bounding box is given by the lower left corner (min) and the upper right corner (max) More...

template<class Geometry >
Geometry::ctype	Dumux::diameter (const Geometry &geo)
	Computes the longest distance between points of a geometry. More...

template<class Geometry >
Geometry::ctype	Dumux::averageDistancePointGeometry (const typename Geometry::GlobalCoordinate &p, const Geometry &geometry, std::size_t integrationOrder=2)
	Compute the average distance from a point to a geometry by integration. More...

template<class Point >
Point::value_type	Dumux::distancePointLine (const Point &p, const Point &a, const Point &b)
	Compute the distance from a point to a line through the points a and b. More...

template<class Geometry >
Geometry::ctype	Dumux::distancePointLine (const typename Geometry::GlobalCoordinate &p, const Geometry &geometry)
	Compute the distance from a point to a line given by a geometry with two corners. More...

template<class Point >
Point::value_type	Dumux::distancePointSegment (const Point &p, const Point &a, const Point &b)
	Compute the distance from a point to the segment connecting the points a and b. More...

template<class Geometry >
Geometry::ctype	Dumux::distancePointSegment (const typename Geometry::GlobalCoordinate &p, const Geometry &geometry)
	Compute the distance from a point to a given segment geometry. More...

template<class Geometry >
Geometry::ctype	Dumux::averageDistanceSegmentGeometry (const typename Geometry::GlobalCoordinate &a, const typename Geometry::GlobalCoordinate &b, const Geometry &geometry, std::size_t integrationOrder=2)
	Compute the average distance from a segment to a geometry by integration. More...

template<class ctype , int dimWorld>
ctype	Dumux::distance (const Dune::FieldVector< ctype, dimWorld > &a, const Dune::FieldVector< ctype, dimWorld > &b)
	Compute the shortest distance between two points. More...

template<class Geo1 , class Geo2 >
auto	Dumux::distance (const Geo1 &geo1, const Geo2 &geo2)
	Compute the shortest distance between two geometries. More...

template<class Geo1 , class Geo2 , class ctype , class GetFacetCornerIndices , class ComputeNormalFunction >
bool	Dumux::Detail::computeSegmentIntersection (const Geo1 &geo1, const Geo2 &geo2, ctype baseEps, ctype &tfirst, ctype &tlast, const GetFacetCornerIndices &getFacetCornerIndices, const ComputeNormalFunction &computeNormal)
	Algorithm to find segment-like intersections of a polgon/polyhedron with a segment. The result is stored in the form of the local coordinates tfirst and tlast on the segment geo1. More...

template<class ctype >
int	Dumux::getOrientation (const Dune::FieldVector< ctype, 3 > &a, const Dune::FieldVector< ctype, 3 > &b, const Dune::FieldVector< ctype, 3 > &c, const Dune::FieldVector< ctype, 3 > &normal)
	Returns the orientation of a sequence a-->b-->c in one plane (defined by normal vector) More...

template<int dim, class ctype , std::enable_if_t<(dim==2), int > = 0>
std::vector< Dune::FieldVector< ctype, 3 > >	Dumux::grahamConvexHullImpl (std::vector< Dune::FieldVector< ctype, 3 > > &points)
	Compute the points making up the convex hull around the given set of unordered points. More...

template<int dim, class ctype , std::enable_if_t<(dim==2), int > = 0>
std::vector< Dune::FieldVector< ctype, 2 > >	Dumux::grahamConvexHullImpl (const std::vector< Dune::FieldVector< ctype, 2 > > &points)
	Compute the points making up the convex hull around the given set of unordered points. More...

template<int dim, class ctype , int dimWorld>
std::vector< Dune::FieldVector< ctype, dimWorld > >	Dumux::grahamConvexHull (std::vector< Dune::FieldVector< ctype, dimWorld > > &points)
	Compute the points making up the convex hull around the given set of unordered points. More...

template<int dim, class ctype , int dimWorld>
std::vector< Dune::FieldVector< ctype, dimWorld > >	Dumux::grahamConvexHull (const std::vector< Dune::FieldVector< ctype, dimWorld > > &points)
	Compute the points making up the convex hull around the given set of unordered points. More...

template<class EntitySet , class ctype , int dimworld>
std::vector< std::size_t >	Dumux::intersectingEntities (const Dune::FieldVector< ctype, dimworld > &point, const BoundingBoxTree< EntitySet > &tree, bool isCartesianGrid=false)
	Compute all intersections between entities and a point. More...

template<class EntitySet , class ctype , int dimworld>
void	Dumux::intersectingEntities (const Dune::FieldVector< ctype, dimworld > &point, const BoundingBoxTree< EntitySet > &tree, std::size_t node, std::vector< std::size_t > &entities, bool isCartesianGrid=false)
	Compute intersections with point for all nodes of the bounding box tree recursively. More...

template<class Geometry , class EntitySet >
std::vector< IntersectionInfo< Geometry::coorddimension, typename Geometry::ctype, typename EntitySet::ctype > >	Dumux::intersectingEntities (const Geometry &geometry, const BoundingBoxTree< EntitySet > &tree)
	Compute all intersections between a geometry and a bounding box tree. More...

template<class Geometry , class EntitySet >
void	Dumux::intersectingEntities (const Geometry &geometry, const BoundingBoxTree< EntitySet > &tree, const std::array< typename Geometry::ctype, 2 *Geometry::coorddimension > &bBox, std::size_t nodeIdx, std::vector< IntersectionInfo< Geometry::coorddimension, typename Geometry::ctype, typename EntitySet::ctype > > &intersections)
	Compute intersections with point for all nodes of the bounding box tree recursively. More...

template<class EntitySet0 , class EntitySet1 >
std::vector< IntersectionInfo< EntitySet0::dimensionworld, typename EntitySet0::ctype, typename EntitySet1::ctype > >	Dumux::intersectingEntities (const BoundingBoxTree< EntitySet0 > &treeA, const BoundingBoxTree< EntitySet1 > &treeB)
	Compute all intersections between two bounding box trees. More...

template<class EntitySet0 , class EntitySet1 >
void	Dumux::intersectingEntities (const BoundingBoxTree< EntitySet0 > &treeA, const BoundingBoxTree< EntitySet1 > &treeB, std::size_t nodeA, std::size_t nodeB, std::vector< IntersectionInfo< EntitySet0::dimensionworld, typename EntitySet0::ctype, typename EntitySet1::ctype > > &intersections)
	Compute all intersections between two all bounding box tree nodes recursively. More...

template<class ctype , int dimworld>
std::size_t	Dumux::intersectingEntityCartesianGrid (const Dune::FieldVector< ctype, dimworld > &point, const Dune::FieldVector< ctype, dimworld > &min, const Dune::FieldVector< ctype, dimworld > &max, const std::array< int, std::size_t(dimworld)> &cells)
	Compute the index of the intersecting element of a Cartesian grid with a point The grid is given by the lower left corner (min), the upper right corner (max) and the number of cells in each direction (cells). More...

template<class ctype , int dimworld, class Geometry , typename std::enable_if_t<(Geometry::mydimension==3), int > = 0>
bool	Dumux::intersectsPointGeometry (const Dune::FieldVector< ctype, dimworld > &point, const Geometry &g)
	Find out whether a point is inside a three-dimensional geometry. More...

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3), int > = 0>
bool	Dumux::intersectsPointSimplex (const Dune::FieldVector< ctype, dimworld > &point, const Dune::FieldVector< ctype, dimworld > &p0, const Dune::FieldVector< ctype, dimworld > &p1, const Dune::FieldVector< ctype, dimworld > &p2, const Dune::FieldVector< ctype, dimworld > &p3)
	Find out whether a point is inside the tetrahedron (p0, p1, p2, p3) (dimworld is 3) More...

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3), int > = 0>
bool	Dumux::intersectsPointSimplex (const Dune::FieldVector< ctype, dimworld > &point, const Dune::FieldVector< ctype, dimworld > &p0, const Dune::FieldVector< ctype, dimworld > &p1, const Dune::FieldVector< ctype, dimworld > &p2)
	Find out whether a point is inside the triangle (p0, p1, p2) (dimworld is 3) More...

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3\|\|dimworld==2), int > = 0>
bool	Dumux::intersectsPointSimplex (const Dune::FieldVector< ctype, dimworld > &point, const Dune::FieldVector< ctype, dimworld > &p0, const Dune::FieldVector< ctype, dimworld > &p1)
	Find out whether a point is inside the interval (p0, p1) (dimworld is 2 or 3) More...

template<class CoordScalar >
bool	Dumux::pointsAreCoplanar (const std::vector< Dune::FieldVector< CoordScalar, 3 > > &points, const CoordScalar scale)
	Checks if four points lie within the same plane. More...

template<class CoordScalar >
bool	Dumux::pointsAreCoplanar (const std::vector< Dune::FieldVector< CoordScalar, 3 > > &points)
	Checks if four points lie within the same plane. More...

template<class CoordScalar >
std::vector< Dune::FieldVector< CoordScalar, 3 > >	Dumux::getReorderedPoints (const std::vector< Dune::FieldVector< CoordScalar, 3 > > &points)
	Returns a vector of points following the dune ordering. Convenience method that creates a temporary object in case no array of orientations is desired. More...

template<class CoordScalar >
std::vector< Dune::FieldVector< CoordScalar, 3 > >	Dumux::getReorderedPoints (const std::vector< Dune::FieldVector< CoordScalar, 3 > > &points, std::array< int, 4 > &orientations)
	Returns a vector of points following the dune ordering. More...

template<class CoordScalar , bool enableSanityCheck = true>
auto	Dumux::makeDuneQuadrilaterial (const std::vector< Dune::FieldVector< CoordScalar, 3 > > &points)
	Creates a dune quadrilateral geometry given 4 corner points. More...

template<class Vector >
Vector	Dumux::normal (const Vector &v)
	Create a vector normal to the given one (v is expected to be non-zero) More...

template<class Vector >
Vector	Dumux::unitNormal (const Vector &v)
	Create a vector normal to the given one (v is expected to be non-zero) More...

template<int dim, int dimWorld, class Policy = TriangulationPolicy::DefaultPolicy<dim, dimWorld>, class RandomAccessContainer , std::enable_if_t< std::is_same< Policy, TriangulationPolicy::MidPointPolicy >::value &&dim==2, int > = 0>
Triangulation< dim, dimWorld, typename RandomAccessContainer::value_type::value_type >	Dumux::triangulate (const RandomAccessContainer &convexHull)
	Triangulate area given points of a convex hull. More...

Function Documentation

◆ averageDistancePointGeometry()

template<class Geometry >

Geometry::ctype Dumux::averageDistancePointGeometry	(	const typename Geometry::GlobalCoordinate &	p,
		const Geometry &	geometry,
		std::size_t	integrationOrder = `2`
	)

inline

Compute the average distance from a point to a geometry by integration.

◆ averageDistanceSegmentGeometry()

template<class Geometry >

Geometry::ctype Dumux::averageDistanceSegmentGeometry	(	const typename Geometry::GlobalCoordinate &	a,
		const typename Geometry::GlobalCoordinate &	b,
		const Geometry &	geometry,
		std::size_t	integrationOrder = `2`
	)

inline

Compute the average distance from a segment to a geometry by integration.

◆ computeSegmentIntersection()

template<class Geo1 , class Geo2 , class ctype , class GetFacetCornerIndices , class ComputeNormalFunction >

bool Dumux::Detail::computeSegmentIntersection	(	const Geo1 &	geo1,
		const Geo2 &	geo2,
		ctype	baseEps,
		ctype &	tfirst,
		ctype &	tlast,
		const GetFacetCornerIndices &	getFacetCornerIndices,
		const ComputeNormalFunction &	computeNormal
	)

Algorithm to find segment-like intersections of a polgon/polyhedron with a segment. The result is stored in the form of the local coordinates tfirst and tlast on the segment geo1.

Parameters

geo1	the first geometry
geo2	the second geometry (dimGeo2 < dimGeo1)
baseEps	the base epsilon used for floating point comparisons
tfirst	stores the local coordinate of beginning of intersection segment
tlast	stores the local coordinate of the end of intersection segment
getFacetCornerIndices	Function to obtain the facet corner indices on geo1
computeNormal	Function to obtain the normal vector on a facet on geo1

◆ diameter()

template<class Geometry >

Geometry::ctype Dumux::diameter ( const Geometry & geo )

Computes the longest distance between points of a geometry.

Note: Useful e.g. to compute the maximum cell diameter of a grid

◆ distance() [1/2]

template<class ctype , int dimWorld>

ctype Dumux::distance	(	const Dune::FieldVector< ctype, dimWorld > &	a,
		const Dune::FieldVector< ctype, dimWorld > &	b
	)

inline

Compute the shortest distance between two points.

◆ distance() [2/2]

template<class Geo1 , class Geo2 >

auto Dumux::distance	(	const Geo1 &	geo1,
		const Geo2 &	geo2
	)

inline

Compute the shortest distance between two geometries.

◆ distancePointLine() [1/2]

template<class Point >

Point::value_type Dumux::distancePointLine	(	const Point &	p,
		const Point &	a,
		const Point &	b
	)

inline

Compute the distance from a point to a line through the points a and b.

◆ distancePointLine() [2/2]

template<class Geometry >

Geometry::ctype Dumux::distancePointLine	(	const typename Geometry::GlobalCoordinate &	p,
		const Geometry &	geometry
	)

inline

Compute the distance from a point to a line given by a geometry with two corners.

Note: We currently lack the a representation of a line geometry. This convenience function assumes a segment geometry (with two corners) is passed which represents a line geometry.

◆ distancePointSegment() [1/2]

template<class Point >

Point::value_type Dumux::distancePointSegment	(	const Point &	p,
		const Point &	a,
		const Point &	b
	)

inline

Compute the distance from a point to the segment connecting the points a and b.

◆ distancePointSegment() [2/2]

template<class Geometry >

Geometry::ctype Dumux::distancePointSegment	(	const typename Geometry::GlobalCoordinate &	p,
		const Geometry &	geometry
	)

inline

Compute the distance from a point to a given segment geometry.

◆ getOrientation()

template<class ctype >

int Dumux::getOrientation	(	const Dune::FieldVector< ctype, 3 > &	a,
		const Dune::FieldVector< ctype, 3 > &	b,
		const Dune::FieldVector< ctype, 3 > &	c,
		const Dune::FieldVector< ctype, 3 > &	normal
	)

Returns the orientation of a sequence a-->b-->c in one plane (defined by normal vector)

Returns: -1 if a-->b-->c forms a counter-clockwise turn (given the normal vector) +1 for a clockwise turn, 0 if they are on one line (colinear)

◆ getReorderedPoints() [1/2]

template<class CoordScalar >

std::vector< Dune::FieldVector< CoordScalar, 3 > > Dumux::getReorderedPoints ( const std::vector< Dune::FieldVector< CoordScalar, 3 > > & points )

Returns a vector of points following the dune ordering. Convenience method that creates a temporary object in case no array of orientations is desired.

Parameters

points The user-specified vector of points (potentially in wrong order).

◆ getReorderedPoints() [2/2]

template<class CoordScalar >

std::vector< Dune::FieldVector< CoordScalar, 3 > > Dumux::getReorderedPoints	(	const std::vector< Dune::FieldVector< CoordScalar, 3 > > &	points,
		std::array< int, 4 > &	orientations
	)

Returns a vector of points following the dune ordering.

Parameters

points	The user-specified vector of points (potentially in wrong order).
orientations	An array of orientations that can be useful for further processing.

◆ grahamConvexHull() [1/2]

template<int dim, class ctype , int dimWorld>

std::vector< Dune::FieldVector< ctype, dimWorld > > Dumux::grahamConvexHull ( const std::vector< Dune::FieldVector< ctype, dimWorld > > & points )

Compute the points making up the convex hull around the given set of unordered points.

Note: We assume that all points are coplanar and there are no indentical points in the list; This is the overload if we are not allowed to write into the given points vector

◆ grahamConvexHull() [2/2]

template<int dim, class ctype , int dimWorld>

std::vector< Dune::FieldVector< ctype, dimWorld > > Dumux::grahamConvexHull ( std::vector< Dune::FieldVector< ctype, dimWorld > > & points )

Compute the points making up the convex hull around the given set of unordered points.

Note: We assume that all points are coplanar and there are no indentical points in the list

◆ grahamConvexHullImpl() [1/2]

template<int dim, class ctype , std::enable_if_t<(dim==2), int > = 0>

std::vector< Dune::FieldVector< ctype, 2 > > Dumux::grahamConvexHullImpl ( const std::vector< Dune::FieldVector< ctype, 2 > > & points )

Compute the points making up the convex hull around the given set of unordered points.

Note: This is the specialization for 2d space. Here, we make use of the generic implementation for the case of coplanar points in 3d space (a more efficient implementation could be provided).

◆ grahamConvexHullImpl() [2/2]

template<int dim, class ctype , std::enable_if_t<(dim==2), int > = 0>

std::vector< Dune::FieldVector< ctype, 3 > > Dumux::grahamConvexHullImpl ( std::vector< Dune::FieldVector< ctype, 3 > > & points )

Compute the points making up the convex hull around the given set of unordered points.

Note: We assume that all points are coplanar and there are no indentical points in the list; This algorithm changes the order of the given points a bit as they are unordered anyway this shouldn't matter too much

◆ intersectingEntities() [1/6]

template<class EntitySet0 , class EntitySet1 >

std::vector< IntersectionInfo< EntitySet0::dimensionworld, typename EntitySet0::ctype, typename EntitySet1::ctype > > Dumux::intersectingEntities	(	const BoundingBoxTree< EntitySet0 > &	treeA,
		const BoundingBoxTree< EntitySet1 > &	treeB
	)

inline

Compute all intersections between two bounding box trees.

◆ intersectingEntities() [2/6]

template<class EntitySet0 , class EntitySet1 >

void Dumux::intersectingEntities	(	const BoundingBoxTree< EntitySet0 > &	treeA,
		const BoundingBoxTree< EntitySet1 > &	treeB,
		std::size_t	nodeA,
		std::size_t	nodeB,
		std::vector< IntersectionInfo< EntitySet0::dimensionworld, typename EntitySet0::ctype, typename EntitySet1::ctype > > &	intersections
	)

Compute all intersections between two all bounding box tree nodes recursively.

◆ intersectingEntities() [3/6]

template<class EntitySet , class ctype , int dimworld>

std::vector< std::size_t > Dumux::intersectingEntities	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const BoundingBoxTree< EntitySet > &	tree,
		bool	isCartesianGrid = `false`
	)

inline

Compute all intersections between entities and a point.

◆ intersectingEntities() [4/6]

template<class EntitySet , class ctype , int dimworld>

void Dumux::intersectingEntities	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const BoundingBoxTree< EntitySet > &	tree,
		std::size_t	node,
		std::vector< std::size_t > &	entities,
		bool	isCartesianGrid = `false`
	)

Compute intersections with point for all nodes of the bounding box tree recursively.

◆ intersectingEntities() [5/6]

template<class Geometry , class EntitySet >

std::vector< IntersectionInfo< Geometry::coorddimension, typename Geometry::ctype, typename EntitySet::ctype > > Dumux::intersectingEntities	(	const Geometry &	geometry,
		const BoundingBoxTree< EntitySet > &	tree
	)

inline

Compute all intersections between a geometry and a bounding box tree.

◆ intersectingEntities() [6/6]

template<class Geometry , class EntitySet >

void Dumux::intersectingEntities	(	const Geometry &	geometry,
		const BoundingBoxTree< EntitySet > &	tree,
		const std::array< typename Geometry::ctype, 2 *Geometry::coorddimension > &	bBox,
		std::size_t	nodeIdx,
		std::vector< IntersectionInfo< Geometry::coorddimension, typename Geometry::ctype, typename EntitySet::ctype > > &	intersections
	)

Compute intersections with point for all nodes of the bounding box tree recursively.

◆ intersectingEntityCartesianGrid()

template<class ctype , int dimworld>

std::size_t Dumux::intersectingEntityCartesianGrid	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Dune::FieldVector< ctype, dimworld > &	min,
		const Dune::FieldVector< ctype, dimworld > &	max,
		const std::array< int, std::size_t(dimworld)> &	cells
	)

inline

Compute the index of the intersecting element of a Cartesian grid with a point The grid is given by the lower left corner (min), the upper right corner (max) and the number of cells in each direction (cells).

Note: If there are several options the lowest matching cell index will be returned; Returns the index i + I*j + I*J*k for the intersecting element i,j,k of a grid with I,J,K cells

◆ intersectsPointBoundingBox()

template<class ctype , int dimworld>

bool Dumux::intersectsPointBoundingBox	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Dune::FieldVector< ctype, dimworld > &	min,
		const Dune::FieldVector< ctype, dimworld > &	max
	)

inline

Determine if a point intersects an axis-aligned bounding box The bounding box is given by the lower left corner (min) and the upper right corner (max)

◆ intersectsPointGeometry()

template<class ctype , int dimworld, class Geometry , typename std::enable_if_t<(Geometry::mydimension==3), int > = 0>

bool Dumux::intersectsPointGeometry	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Geometry &	g
	)

Find out whether a point is inside a three-dimensional geometry.

Find out whether a point is inside a one-dimensional geometry.

Find out whether a point is inside a two-dimensional geometry.

◆ intersectsPointSimplex() [1/3]

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3||dimworld==2), int > = 0>

bool Dumux::intersectsPointSimplex	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Dune::FieldVector< ctype, dimworld > &	p0,
		const Dune::FieldVector< ctype, dimworld > &	p1
	)

Find out whether a point is inside the interval (p0, p1) (dimworld is 2 or 3)

Find out whether a point is inside the interval (p0, p1) (dimworld is 1)

Note: We assume the given interval has non-zero length and use it to scale the epsilon

◆ intersectsPointSimplex() [2/3]

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3), int > = 0>

bool Dumux::intersectsPointSimplex	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Dune::FieldVector< ctype, dimworld > &	p0,
		const Dune::FieldVector< ctype, dimworld > &	p1,
		const Dune::FieldVector< ctype, dimworld > &	p2
	)

Find out whether a point is inside the triangle (p0, p1, p2) (dimworld is 3)

Find out whether a point is inside the triangle (p0, p1, p2) (dimworld is 2)

◆ intersectsPointSimplex() [3/3]

template<class ctype , int dimworld, typename std::enable_if_t<(dimworld==3), int > = 0>

bool Dumux::intersectsPointSimplex	(	const Dune::FieldVector< ctype, dimworld > &	point,
		const Dune::FieldVector< ctype, dimworld > &	p0,
		const Dune::FieldVector< ctype, dimworld > &	p1,
		const Dune::FieldVector< ctype, dimworld > &	p2,
		const Dune::FieldVector< ctype, dimworld > &	p3
	)

Find out whether a point is inside the tetrahedron (p0, p1, p2, p3) (dimworld is 3)

◆ makeDuneQuadrilaterial()

template<class CoordScalar , bool enableSanityCheck = true>

auto Dumux::makeDuneQuadrilaterial ( const std::vector< Dune::FieldVector< CoordScalar, 3 > > & points )

Creates a dune quadrilateral geometry given 4 corner points.

Template Parameters

CoordScalar	The CoordScalar type.
enableSanityCheck	Turn on/off sanity check and reordering of points

Parameters

points The user-specified vector of points (potentially in wrong order).

◆ normal()

template<class Vector >

Vector Dumux::normal ( const Vector & v )

inline

Create a vector normal to the given one (v is expected to be non-zero)

Note: This returns some orthogonal vector with arbitrary length

◆ pointsAreCoplanar() [1/2]

template<class CoordScalar >

bool Dumux::pointsAreCoplanar ( const std::vector< Dune::FieldVector< CoordScalar, 3 > > & points )

Checks if four points lie within the same plane.

◆ pointsAreCoplanar() [2/2]

template<class CoordScalar >

bool Dumux::pointsAreCoplanar	(	const std::vector< Dune::FieldVector< CoordScalar, 3 > > &	points,
		const CoordScalar	scale
	)

Checks if four points lie within the same plane.

◆ triangulate()

template<int dim, int dimWorld, class Policy = TriangulationPolicy::DefaultPolicy<dim, dimWorld>, class RandomAccessContainer , std::enable_if_t< std::is_same< Policy, TriangulationPolicy::MidPointPolicy >::value &&dim==2, int > = 0>

Triangulation< dim, dimWorld, typename RandomAccessContainer::value_type::value_type > Dumux::triangulate ( const RandomAccessContainer & points )

inline

Triangulate area given points of a convex hull.

Template Parameters

dim	Specifies the dimension of the resulting triangulation (2 or 3)
dimWorld	The dimension of the coordinate space
Policy	Specifies the algorithm to be used for triangulation

Note: this specialization is for 2d triangulations using mid point policy; Assumes all points of the convex hull are coplanar; This inserts a mid point and connects all corners with that point to triangles

Template Parameters

dim	Specifies the dimension of the resulting triangulation (2 or 3)
dimWorld	The dimension of the coordinate space
Policy	Specifies the algorithm to be used for triangulation

Note: this specialization is for 1d discretization using segments; sorts the points and connects them via segments

Todo:: sort points and create polyline

Todo:: sort points and create polyline

◆ unitNormal()

template<class Vector >

Vector Dumux::unitNormal ( const Vector & v )

inline

Create a vector normal to the given one (v is expected to be non-zero)

Note: This returns some orthogonal vector with unit length

Description

Files

Classes

Functions

Function Documentation

◆ averageDistancePointGeometry()

◆ averageDistanceSegmentGeometry()

◆ computeSegmentIntersection()

◆ diameter()

◆ distance() [1/2]

◆ distance() [2/2]

◆ distancePointLine() [1/2]

◆ distancePointLine() [2/2]

◆ distancePointSegment() [1/2]

◆ distancePointSegment() [2/2]

◆ getOrientation()

◆ getReorderedPoints() [1/2]

◆ getReorderedPoints() [2/2]

◆ grahamConvexHull() [1/2]

◆ grahamConvexHull() [2/2]

◆ grahamConvexHullImpl() [1/2]

◆ grahamConvexHullImpl() [2/2]

◆ intersectingEntities() [1/6]

◆ intersectingEntities() [2/6]

◆ intersectingEntities() [3/6]

◆ intersectingEntities() [4/6]

◆ intersectingEntities() [5/6]

◆ intersectingEntities() [6/6]

◆ intersectingEntityCartesianGrid()

◆ intersectsPointBoundingBox()

◆ intersectsPointGeometry()

◆ intersectsPointSimplex() [1/3]

◆ intersectsPointSimplex() [2/3]

◆ intersectsPointSimplex() [3/3]

◆ makeDuneQuadrilaterial()

◆ normal()

◆ pointsAreCoplanar() [1/2]

◆ pointsAreCoplanar() [2/2]

◆ triangulate()

◆ unitNormal()