Classes
class	SFCGAL::algorithm::BoundaryVisitor
	Compute the boundary for a Geometry. More...

class	SFCGAL::algorithm::SurfaceGraph
	Represents a polyhedral surface as a graph where faces are nodes and egde are graph edges. More...

class	SFCGAL::algorithm::ConsistentOrientationBuilder
	Make orientation consistent in a triangle set. More...

Functions
double	SFCGAL::algorithm::area (const Geometry &g, NoValidityCheck)
	Compute the 2D area for a Geometry. More...

Kernel::FT	SFCGAL::algorithm::signedArea (const Triangle &g)
	Compute the 2D signed area for a Triangle. More...

Kernel::FT	SFCGAL::algorithm::signedArea (const LineString &g)
	Compute the 2D signed area for a closed LineString. More...

double	SFCGAL::algorithm::area (const Triangle &g)
	Returns Compute the 2D area for a Triangle. More...

double	SFCGAL::algorithm::area (const Polygon &g)
	Returns Compute the 2D area for a Polygon. More...

double	SFCGAL::algorithm::area (const GeometryCollection &g)
	Returns the 2D area for a GeometryCollection. More...

double	SFCGAL::algorithm::area (const TriangulatedSurface &g)
	Returns the 2D area for a TriangulatedSurface. More...

double	SFCGAL::algorithm::area (const PolyhedralSurface &g)
	Returns the 2D area for a TriangulatedSurface. More...

double	SFCGAL::algorithm::area3D (const Geometry &g, NoValidityCheck)
	Returns 3D area for a Geometry. More...

double	SFCGAL::algorithm::area3D (const Polygon &g)
	Returns 3D area for a Polygon. More...

double	SFCGAL::algorithm::area3D (const GeometryCollection &g)
	Returns the 3D area for a MultiPolygon. More...

double	SFCGAL::algorithm::area3D (const PolyhedralSurface &g)
	Returns the 3D area for a PolyhedralSurface. More...

double	SFCGAL::algorithm::area3D (const Triangle &g)
	Returns the 3D area for a Triangle. More...

double	SFCGAL::algorithm::area3D (const TriangulatedSurface &g)
	Returns the 3D area for a TriangulatedSurface. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::collect (const Geometry &ga, const Geometry &gb)
	Returns an aggregate of ga and gb. More...

template<typename GeometryIterator >
std::unique_ptr< Geometry >	SFCGAL::algorithm::collect (GeometryIterator begin, GeometryIterator end)
	Returns an aggregate of a list of geometries. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::collectionHomogenize (std::unique_ptr< Geometry > coll)
	Given a geometry collection, returns the "simplest" representation of the contents. More...

bool	SFCGAL::algorithm::isConnected (const SurfaceGraph &graph)
	test if a surface is connected, the graph should be build beforehand More...

bool	SFCGAL::algorithm::isClosed (const SurfaceGraph &graph)
	test if a surface is closed, the graph should be build beforehand More...

bool	SFCGAL::algorithm::covers (const Geometry &ga, const Geometry &gb)
	Cover test on 2D geometries. More...

template<int Dim>
bool	SFCGAL::algorithm::covers (const detail::GeometrySet< Dim > &a, const detail::GeometrySet< Dim > &b)
	@ More...

template<int Dim>
bool	SFCGAL::algorithm::covers (const detail::PrimitiveHandle< Dim > &a, const detail::PrimitiveHandle< Dim > &b)
	@ More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::difference (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Diffrence on 2D geometries. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::difference3D (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Difference on 3D geometries. More...

template<int Dim>
void	SFCGAL::algorithm::difference (const detail::GeometrySet< Dim > &a, const detail::GeometrySet< Dim > &b, detail::GeometrySet< Dim > &)

double	SFCGAL::algorithm::distance (const Geometry &gA, const Geometry &gB, NoValidityCheck)
	Compute the distance between two Geometries. More...

double	SFCGAL::algorithm::distancePointGeometry (const Point &gA, const Geometry &gB)
	dispatch distance from Point to Geometry More...

double	SFCGAL::algorithm::distancePointPoint (const Point &gA, const Point &gB)
	distance between two Points More...

double	SFCGAL::algorithm::distancePointLineString (const Point &gA, const LineString &gB)
	distance between a Point and a LineString More...

double	SFCGAL::algorithm::distancePointPolygon (const Point &gA, const Polygon &gB)
	distance between a Point and a Polygon More...

double	SFCGAL::algorithm::distancePointTriangle (const Point &gA, const Triangle &gB)
	distance between a Point and a Triangle More...

double	SFCGAL::algorithm::distanceLineStringGeometry (const LineString &gA, const Geometry &gB)
	dispatch distance from LineString to Geometry More...

double	SFCGAL::algorithm::distanceLineStringLineString (const LineString &gA, const LineString &gB)
	distance between two LineStrings More...

double	SFCGAL::algorithm::distanceLineStringPolygon (const LineString &gA, const Polygon &gB)
	distance between a LineString and a Polygon More...

double	SFCGAL::algorithm::distanceLineStringTriangle (const LineString &gA, const Triangle &gB)
	distance between a LineString and a Triangle More...

double	SFCGAL::algorithm::distancePolygonGeometry (const Polygon &gA, const Geometry &gB)
	dispatch distance from Polygon to Geometry More...

double	SFCGAL::algorithm::distancePolygonPolygon (const Polygon &gA, const Polygon &gB)
	distance between two Polygons More...

double	SFCGAL::algorithm::distancePolygonTriangle (const Polygon &gA, const Triangle &gB)
	distance between a Polygon and a Triangle More...

double	SFCGAL::algorithm::distanceTriangleGeometry (const Triangle &gA, const Geometry &gB)
	dispatch distance from a Triangle to a Geometry More...

double	SFCGAL::algorithm::distanceGeometryCollectionToGeometry (const Geometry &gA, const Geometry &gB)
	dispatch distance from a collection of geometry (gA) to a Geometry (gB) More...

double	SFCGAL::algorithm::distancePointSegment (const Point &p, const Point &a, const Point &b)

double	SFCGAL::algorithm::distanceSegmentSegment (const Point &a, const Point &b, const Point &c, const Point &d)

double	SFCGAL::algorithm::distance3D (const Geometry &gA, const Geometry &gB, NoValidityCheck)
	Compute distance between two 3D Geometries. More...

double	SFCGAL::algorithm::distancePointGeometry3D (const Point &gA, const Geometry &gB)
	dispatch distance from Point to Geometry More...

double	SFCGAL::algorithm::distancePointPoint3D (const Point &gA, const Point &gB)
	distance between two Points More...

double	SFCGAL::algorithm::distancePointLineString3D (const Point &gA, const LineString &gB)
	distance between a Point and a LineString More...

double	SFCGAL::algorithm::distancePointTriangle3D (const Point &gA, const Triangle &gB)
	distance between a Point and a Triangle More...

double	SFCGAL::algorithm::distancePointPolygon3D (const Point &gA, const Polygon &gB)
	distance between a Point and a Triangle More...

double	SFCGAL::algorithm::distancePointSolid3D (const Point &gA, const Solid &gB)
	distance between a Point and a Solid More...

double	SFCGAL::algorithm::distanceLineStringGeometry3D (const LineString &gA, const Geometry &gB)
	dispatch distance between a LineString and a Geometry More...

double	SFCGAL::algorithm::distanceLineStringLineString3D (const LineString &gA, const LineString &gB)
	distance between two LineStrings More...

double	SFCGAL::algorithm::distanceLineStringTriangle3D (const LineString &gA, const Triangle &gB)
	distance between a LineString and a Triangle More...

double	SFCGAL::algorithm::distanceLineStringPolygon3D (const LineString &gA, const Polygon &gB)
	distance between a LineString and a Polygon More...

double	SFCGAL::algorithm::distanceLineStringSolid3D (const LineString &gA, const Solid &gB)
	distance between a LineString and a Solid More...

double	SFCGAL::algorithm::distanceTriangleGeometry3D (const Triangle &gA, const Geometry &gB)
	dispatch distance between a Triangle and a Geometry More...

double	SFCGAL::algorithm::distanceTriangleSolid3D (const Triangle &gA, const Solid &gB)
	distance between a Triangle and a Solid More...

double	SFCGAL::algorithm::distancePolygonGeometry3D (const Polygon &gA, const Geometry &gB)
	dispatch distance between a Polygon and a Geometry More...

double	SFCGAL::algorithm::distanceSolidGeometry3D (const Solid &gA, const Geometry &gB)
	dispatch distance between a Solid and a Geometry More...

double	SFCGAL::algorithm::distanceSolidSolid3D (const Solid &gA, const Solid &gB)
	distance between two Solids More...

double	SFCGAL::algorithm::distanceGeometryCollectionToGeometry3D (const Geometry &gA, const Geometry &gB)
	dispatch distance from a collection of geometry (gA) to a Geometry (gB) More...

double	SFCGAL::algorithm::distancePointSegment3D (const Point &p, const Point &a, const Point &b)

double	SFCGAL::algorithm::distancePointTriangle3D (const Point &p, const Point &a, const Point &b, const Point &c)

double	SFCGAL::algorithm::distanceSegmentSegment3D (const Point &a, const Point &b, const Point &c, const Point &d)

double	SFCGAL::algorithm::distanceSegmentTriangle3D (const Point &sA, const Point &sB, const Point &tA, const Point &tB, const Point &tC)

double	SFCGAL::algorithm::distanceTriangleTriangle3D (const Triangle &gA, const Triangle &gB)
	distance between two Triangles More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::extrude (const Geometry &g, Kernel::FT dx, Kernel::FT dy, Kernel::FT dz, NoValidityCheck nvc)
	Returns a Geometry equal to the specified Geometry, extruded by the specified displacement. More...

SFCGAL_API std::unique_ptr< Geometry >	SFCGAL::algorithm::extrude (const Geometry &g, const double &dx, const double &dy, const double &dz)
	Returns a Geometry equal to the specified Geometry, extruded by the specified displacement. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::extrude (const Geometry &g, const Kernel::Vector_3 &v)
	Returns a Geometry equal to the specified Geometry, extruded by the specified displacement vector. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::intersection (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Intersection on 2D geometries. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::intersection3D (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Intersection on 3D geometries. More...

template<int Dim>
void	SFCGAL::algorithm::intersection (const detail::GeometrySet< Dim > &a, const detail::GeometrySet< Dim > &b, detail::GeometrySet< Dim > &)

template<int Dim>
void	SFCGAL::algorithm::intersection (const detail::PrimitiveHandle< Dim > &a, const detail::PrimitiveHandle< Dim > &b, detail::GeometrySet< Dim > &)

bool	SFCGAL::algorithm::intersects (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Intersection test on 2D geometries. More...

bool	SFCGAL::algorithm::intersects3D (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Intersection test on 3D geometries. More...

template<int Dim>
bool	SFCGAL::algorithm::intersects (const detail::GeometrySet< Dim > &a, const detail::GeometrySet< Dim > &b)
	Intersection test on GeometrySet. More...

template<int Dim>
bool	SFCGAL::algorithm::intersects (const detail::PrimitiveHandle< Dim > &a, const detail::PrimitiveHandle< Dim > &b)
	Intersection test on a PrimitiveHandle. More...

bool	SFCGAL::algorithm::selfIntersects (const LineString &l)
	Self intersection test for 2D LineString (false if only endpoint touch) More...

bool	SFCGAL::algorithm::selfIntersects3D (const LineString &l)
	Self intersection test for 3D LineString (false if only endpoints touch) More...

bool	SFCGAL::algorithm::selfIntersects (const PolyhedralSurface &s, const SurfaceGraph &g)
	Self intersection test for 2D PolyhedralSurface (false if only point touch) More...

bool	SFCGAL::algorithm::selfIntersects3D (const PolyhedralSurface &s, const SurfaceGraph &g)
	Self intersection test for 3D PolyhedralSurface (false if only point touch) More...

bool	SFCGAL::algorithm::selfIntersects (const TriangulatedSurface &s, const SurfaceGraph &g)
	Self intersection test for 2D TriangulatedSurface (false if only point touch) More...

bool	SFCGAL::algorithm::selfIntersects3D (const TriangulatedSurface &s, const SurfaceGraph &g)
	Self intersection test for 3D TriangulatedSurface (false if only point touch) More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::minkowskiSum (const Geometry &gA, const Polygon &gB, NoValidityCheck)
	2D minkowski sum (p+q) More...

std::unique_ptr< MultiPolygon >	SFCGAL::algorithm::offset (const Geometry &g, const double &r, NoValidityCheck)
	[experimental]compute polygon offset More...

template<typename Kernel >
bool	SFCGAL::algorithm::isPlane3D (const Geometry &geom, const double &toleranceAbs)
	Test if all points of a geometry lie in the same plane. More...

std::unique_ptr< MultiLineString >	SFCGAL::algorithm::straightSkeleton (const Polygon &g, bool autoOrientation=true, bool innerOnly=false, bool outputDistanceInM=false)
	build a 2D straight skeleton for a Polygon More...

std::unique_ptr< MultiLineString >	SFCGAL::algorithm::straightSkeleton (const MultiPolygon &g, bool autoOrientation=true, bool innerOnly=false, bool outputDistanceInM=false)
	build a 2D straight skeleton for a Polygon More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::tesselate (const Geometry &, NoValidityCheck)
	Tesselate a geometry: this will triangulate surfaces (including polyhedral and solid's surfaces) and keep untouched points, lines, etc. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::union_ (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Union on 2D geometries. More...

std::unique_ptr< Geometry >	SFCGAL::algorithm::union3D (const Geometry &ga, const Geometry &gb, NoValidityCheck)
	Union on 3D geometries. More...

template<int Dim>
void	SFCGAL::algorithm::union_ (const detail::GeometrySet< Dim > &a, const detail::GeometrySet< Dim > &b, detail::GeometrySet< Dim > &)

template<int Dim>
void	SFCGAL::algorithm::union_ (const detail::PrimitiveHandle< Dim > &a, const detail::PrimitiveHandle< Dim > &b, detail::GeometrySet< Dim > &)

const Kernel::FT	SFCGAL::algorithm::volume (const Solid &g, NoValidityCheck)
	Computes the volume of a Solid. More...

SFCGAL_API sfcgal_geometry_t *	sfcgal_geometry_make_solid (const sfcgal_geometry_t *geom)
	Convert a PolyhedralSurface to a Solid. More...

bool	SFCGAL::detail::algorithm::coversPoints (const Geometry &ga, const Geometry &gb)
	Pseudo cover test on 2D geometries. More...

bool	SFCGAL::detail::algorithm::coversPoints3D (const Geometry &ga, const Geometry &gb)
	Pseudo cover test on 3D geometries. More...

virtual void	SFCGAL::Geometry::accept (GeometryVisitor &visitor)=0
	[visitor]dispatch visitor More...

virtual void	SFCGAL::Geometry::accept (ConstGeometryVisitor &visitor) const =0
	[visitor]dispatch visitor More...

template<class Archive >
void	SFCGAL::Geometry::serialize (Archive &, const unsigned int)
	Serializer. More...

void	SFCGAL::triangulate::triangulatePolygon3D (const Geometry &g, TriangulatedSurface &triangulatedSurface)
	Triangulate 3D polygons in a Geometry. More...

void	SFCGAL::triangulate::triangulatePolygon3D (const Polygon &g, TriangulatedSurface &triangulatedSurface)
	Triangulate a 3D Polygon. More...

void	SFCGAL::triangulate::triangulatePolygon3D (const Triangle &g, TriangulatedSurface &triangulatedSurface)
	Triangulate a 3D Triangle (copy triangle) More...

void	SFCGAL::triangulate::triangulatePolygon3D (const TriangulatedSurface &g, TriangulatedSurface &triangulatedSurface)
	Triangulate a 3D TriangulatedSurface (copy triangles) More...

SFCGAL_API void	SFCGAL::triangulate::opentriangulatePolygon3D (const GeometryCollection &g, TriangulatedSurface &triangulatedSurface)
	Triangulate a 3D MultiPolygon. More...

void	SFCGAL::triangulate::triangulatePolygon3D (const PolyhedralSurface &polyhedralSurface, TriangulatedSurface &triangulatedSurface)
	Triangulate 3D polygons in a PolyhedralSurface. More...

void	SFCGAL::triangulate::triangulatePolygon3D (const Solid &g, TriangulatedSurface &triangulatedSurface)
	Triangulate a Solid. More...

Detailed Description

Function Documentation

◆ accept() [1/2]

virtual void SFCGAL::Geometry::accept ( ConstGeometryVisitor & visitor ) const

pure virtual

[visitor]dispatch visitor

Implemented in SFCGAL::TriangulatedSurface, SFCGAL::Triangle, SFCGAL::Solid, SFCGAL::PolyhedralSurface, SFCGAL::Polygon, SFCGAL::Point, SFCGAL::MultiSolid, SFCGAL::MultiPolygon, SFCGAL::MultiPoint, SFCGAL::MultiLineString, SFCGAL::LineString, and SFCGAL::GeometryCollection.

◆ accept() [2/2]

virtual void SFCGAL::Geometry::accept ( GeometryVisitor & visitor )

pure virtual

[visitor]dispatch visitor

Implemented in SFCGAL::TriangulatedSurface, SFCGAL::Triangle, SFCGAL::Solid, SFCGAL::PolyhedralSurface, SFCGAL::Polygon, SFCGAL::Point, SFCGAL::MultiSolid, SFCGAL::MultiPolygon, SFCGAL::MultiPoint, SFCGAL::MultiLineString, SFCGAL::LineString, and SFCGAL::GeometryCollection.

◆ area() [1/6]

SFCGAL_API double SFCGAL::algorithm::area	(	const Geometry &	g,
		NoValidityCheck
	)

Compute the 2D area for a Geometry.

Warning: Z component is ignored, there is no 2D projection for 3D geometries

Precondition: g is a valid geometry

Warning: No actual validity check is done

◆ area() [2/6]

SFCGAL_API double SFCGAL::algorithm::area ( const GeometryCollection & g )

Returns the 2D area for a GeometryCollection.

◆ area() [3/6]

SFCGAL_API double SFCGAL::algorithm::area ( const Polygon & g )

Returns Compute the 2D area for a Polygon.

◆ area() [4/6]

SFCGAL_API double SFCGAL::algorithm::area ( const PolyhedralSurface & g )

Returns the 2D area for a TriangulatedSurface.

◆ area() [5/6]

SFCGAL_API double SFCGAL::algorithm::area ( const Triangle & g )

Returns Compute the 2D area for a Triangle.

◆ area() [6/6]

SFCGAL_API double SFCGAL::algorithm::area ( const TriangulatedSurface & g )

Returns the 2D area for a TriangulatedSurface.

◆ area3D() [1/6]

SFCGAL_API double SFCGAL::algorithm::area3D	(	const Geometry &	g,
		NoValidityCheck
	)

Returns 3D area for a Geometry.

– area3D

Warning: Solid area is set to 0 (might be defined as the area of the surface)

Precondition: g is a valid geometry

Warning: No actual validity check is done

◆ area3D() [2/6]

SFCGAL_API double SFCGAL::algorithm::area3D ( const GeometryCollection & g )

Returns the 3D area for a MultiPolygon.

◆ area3D() [3/6]

SFCGAL_API double SFCGAL::algorithm::area3D ( const Polygon & g )

Returns 3D area for a Polygon.

◆ area3D() [4/6]

SFCGAL_API double SFCGAL::algorithm::area3D ( const PolyhedralSurface & g )

Returns the 3D area for a PolyhedralSurface.

◆ area3D() [5/6]

SFCGAL_API double SFCGAL::algorithm::area3D ( const Triangle & g )

Returns the 3D area for a Triangle.

◆ area3D() [6/6]

SFCGAL_API double SFCGAL::algorithm::area3D ( const TriangulatedSurface & g )

Returns the 3D area for a TriangulatedSurface.

◆ collect() [1/2]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::collect	(	const Geometry &	ga,
		const Geometry &	gb
	)

Returns an aggregate of ga and gb.

◆ collect() [2/2]

template<typename GeometryIterator >

std::unique_ptr<Geometry> SFCGAL::algorithm::collect	(	GeometryIterator	begin,
		GeometryIterator	end
	)

Returns an aggregate of a list of geometries.

◆ collectionHomogenize()

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::collectionHomogenize ( std::unique_ptr< Geometry > coll )

Given a geometry collection, returns the "simplest" representation of the contents.

Singletons will be returned as singletons. Collections that are homogeneous will be returned as the appropriate multi-type.

Warning: Ownership is taken from the parameter

◆ covers() [1/3]

template<int Dim>

bool SFCGAL::algorithm::covers	(	const GeometrySet< Dim > &	a,
		const GeometrySet< Dim > &	b
	)

@

◆ covers() [2/3]

template<int Dim>

bool SFCGAL::algorithm::covers	(	const detail::PrimitiveHandle< Dim > &	a,
		const detail::PrimitiveHandle< Dim > &	b
	)

@

◆ covers() [3/3]

SFCGAL_API bool SFCGAL::algorithm::covers	(	const Geometry &	ga,
		const Geometry &	gb
	)

Cover test on 2D geometries.

Checks if gA covers gB. Force projection to z=0 if needed @

◆ coversPoints()

SFCGAL_API bool SFCGAL::detail::algorithm::coversPoints	(	const Geometry &	ga,
		const Geometry &	gb
	)

Pseudo cover test on 2D geometries.

Collect points of gb and tests if no points of gb is outside ga @

◆ coversPoints3D()

SFCGAL_API bool SFCGAL::detail::algorithm::coversPoints3D	(	const Geometry &	ga,
		const Geometry &	gb
	)

Pseudo cover test on 3D geometries.

Collect points of gb and tests if no points of gb is outside ga @

◆ difference() [1/2]

template<int Dim>

void SFCGAL::algorithm::difference	(	const GeometrySet< Dim > &	a,
		const GeometrySet< Dim > &	b,
		GeometrySet< Dim > &	output
	)

◆ difference() [2/2]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::difference	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Diffrence on 2D geometries.

No validity check variant

Precondition: ga and gb are valid geometries

Warning: No actual validity check is done.

◆ difference3D()

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::difference3D	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Difference on 3D geometries.

Assume z = 0 if needed

Precondition: ga and gb are valid geometries

Warning: @ No actual validity check is done

◆ distance()

SFCGAL_API double SFCGAL::algorithm::distance	(	const Geometry &	gA,
		const Geometry &	gB,
		NoValidityCheck
	)

Compute the distance between two Geometries.

Precondition: gA is a valid geometry; gB is a valid geometry

Warning: No actual validity check is done

◆ distance3D()

SFCGAL_API double SFCGAL::algorithm::distance3D	(	const Geometry &	gA,
		const Geometry &	gB,
		NoValidityCheck
	)

Compute distance between two 3D Geometries.

Precondition: gA is a valid geometry; gB is a valid geometry

Warning: No actual validity check is done

◆ distanceGeometryCollectionToGeometry()

SFCGAL_API double SFCGAL::algorithm::distanceGeometryCollectionToGeometry	(	const Geometry &	gA,
		const Geometry &	gB
	)

dispatch distance from a collection of geometry (gA) to a Geometry (gB)

◆ distanceGeometryCollectionToGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distanceGeometryCollectionToGeometry3D	(	const Geometry &	gA,
		const Geometry &	gB
	)

dispatch distance from a collection of geometry (gA) to a Geometry (gB)

◆ distanceLineStringGeometry()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringGeometry	(	const LineString &	gA,
		const Geometry &	gB
	)

dispatch distance from LineString to Geometry

◆ distanceLineStringGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringGeometry3D	(	const LineString &	gA,
		const Geometry &	gB
	)

dispatch distance between a LineString and a Geometry

◆ distanceLineStringLineString()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringLineString	(	const LineString &	gA,
		const LineString &	gB
	)

distance between two LineStrings

◆ distanceLineStringLineString3D()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringLineString3D	(	const LineString &	gA,
		const LineString &	gB
	)

distance between two LineStrings

◆ distanceLineStringPolygon()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringPolygon	(	const LineString &	gA,
		const Polygon &	gB
	)

distance between a LineString and a Polygon

◆ distanceLineStringPolygon3D()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringPolygon3D	(	const LineString &	gA,
		const Polygon &	gB
	)

distance between a LineString and a Polygon

Todo:: same method than distancePointPolygon3D (unify if triangulate is available)

◆ distanceLineStringSolid3D()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringSolid3D	(	const LineString &	gA,
		const Solid &	gB
	)

distance between a LineString and a Solid

◆ distanceLineStringTriangle()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringTriangle	(	const LineString &	gA,
		const Triangle &	gB
	)

distance between a LineString and a Triangle

◆ distanceLineStringTriangle3D()

SFCGAL_API double SFCGAL::algorithm::distanceLineStringTriangle3D	(	const LineString &	gA,
		const Triangle &	gB
	)

distance between a LineString and a Triangle

◆ distancePointGeometry()

SFCGAL_API double SFCGAL::algorithm::distancePointGeometry	(	const Point &	gA,
		const Geometry &	gB
	)

dispatch distance from Point to Geometry

◆ distancePointGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distancePointGeometry3D	(	const Point &	gA,
		const Geometry &	gB
	)

dispatch distance from Point to Geometry

◆ distancePointLineString()

SFCGAL_API double SFCGAL::algorithm::distancePointLineString	(	const Point &	gA,
		const LineString &	gB
	)

distance between a Point and a LineString

◆ distancePointLineString3D()

SFCGAL_API double SFCGAL::algorithm::distancePointLineString3D	(	const Point &	gA,
		const LineString &	gB
	)

distance between a Point and a LineString

◆ distancePointPoint()

SFCGAL_API double SFCGAL::algorithm::distancePointPoint	(	const Point &	gA,
		const Point &	gB
	)

distance between two Points

◆ distancePointPoint3D()

SFCGAL_API double SFCGAL::algorithm::distancePointPoint3D	(	const Point &	gA,
		const Point &	gB
	)

distance between two Points

◆ distancePointPolygon()

SFCGAL_API double SFCGAL::algorithm::distancePointPolygon	(	const Point &	gA,
		const Polygon &	gB
	)

distance between a Point and a Polygon

◆ distancePointPolygon3D()

SFCGAL_API double SFCGAL::algorithm::distancePointPolygon3D	(	const Point &	gA,
		const Polygon &	gB
	)

distance between a Point and a Triangle

◆ distancePointSegment()

SFCGAL_API double SFCGAL::algorithm::distancePointSegment	(	const Point &	p,
		const Point &	a,
		const Point &	b
	)

◆ distancePointSegment3D()

SFCGAL_API double SFCGAL::algorithm::distancePointSegment3D	(	const Point &	p,
		const Point &	a,
		const Point &	b
	)

◆ distancePointSolid3D()

SFCGAL_API double SFCGAL::algorithm::distancePointSolid3D	(	const Point &	gA,
		const Solid &	gB
	)

distance between a Point and a Solid

◆ distancePointTriangle()

SFCGAL_API double SFCGAL::algorithm::distancePointTriangle	(	const Point &	gA,
		const Triangle &	gB
	)

distance between a Point and a Triangle

◆ distancePointTriangle3D() [1/2]

SFCGAL_API double SFCGAL::algorithm::distancePointTriangle3D	(	const Point &	gA,
		const Triangle &	gB
	)

distance between a Point and a Triangle

◆ distancePointTriangle3D() [2/2]

SFCGAL_API double SFCGAL::algorithm::distancePointTriangle3D	(	const Point &	p_,
		const Point &	a_,
		const Point &	b_,
		const Point &	c_
	)

◆ distancePolygonGeometry()

SFCGAL_API double SFCGAL::algorithm::distancePolygonGeometry	(	const Polygon &	gA,
		const Geometry &	gB
	)

dispatch distance from Polygon to Geometry

◆ distancePolygonGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distancePolygonGeometry3D	(	const Polygon &	gA,
		const Geometry &	gB
	)

dispatch distance between a Polygon and a Geometry

◆ distancePolygonPolygon()

SFCGAL_API double SFCGAL::algorithm::distancePolygonPolygon	(	const Polygon &	gA,
		const Polygon &	gB
	)

distance between two Polygons

◆ distancePolygonTriangle()

SFCGAL_API double SFCGAL::algorithm::distancePolygonTriangle	(	const Polygon &	gA,
		const Triangle &	gB
	)

distance between a Polygon and a Triangle

◆ distanceSegmentSegment()

SFCGAL_API double SFCGAL::algorithm::distanceSegmentSegment	(	const Point &	a,
		const Point &	b,
		const Point &	c,
		const Point &	d
	)

◆ distanceSegmentSegment3D()

SFCGAL_API double SFCGAL::algorithm::distanceSegmentSegment3D	(	const Point &	a,
		const Point &	b,
		const Point &	c,
		const Point &	d
	)

◆ distanceSegmentTriangle3D()

SFCGAL_API double SFCGAL::algorithm::distanceSegmentTriangle3D	(	const Point &	sA_,
		const Point &	sB_,
		const Point &	tA_,
		const Point &	tB_,
		const Point &	tC_
	)

◆ distanceSolidGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distanceSolidGeometry3D	(	const Solid &	gA,
		const Geometry &	gB
	)

dispatch distance between a Solid and a Geometry

◆ distanceSolidSolid3D()

SFCGAL_API double SFCGAL::algorithm::distanceSolidSolid3D	(	const Solid &	gA,
		const Solid &	gB
	)

distance between two Solids

◆ distanceTriangleGeometry()

SFCGAL_API double SFCGAL::algorithm::distanceTriangleGeometry	(	const Triangle &	gA,
		const Geometry &	gB
	)

dispatch distance from a Triangle to a Geometry

◆ distanceTriangleGeometry3D()

SFCGAL_API double SFCGAL::algorithm::distanceTriangleGeometry3D	(	const Triangle &	gA,
		const Geometry &	gB
	)

dispatch distance between a Triangle and a Geometry

◆ distanceTriangleSolid3D()

SFCGAL_API double SFCGAL::algorithm::distanceTriangleSolid3D	(	const Triangle &	gA,
		const Solid &	gB
	)

distance between a Triangle and a Solid

◆ distanceTriangleTriangle3D()

SFCGAL_API double SFCGAL::algorithm::distanceTriangleTriangle3D	(	const Triangle &	gA,
		const Triangle &	gB
	)

distance between two Triangles

◆ extrude() [1/3]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::extrude	(	const Geometry &	g,
		const double &	dx,
		const double &	dy,
		const double &	dz
	)

Returns a Geometry equal to the specified Geometry, extruded by the specified displacement.

Parameters

g	The specified Geometry.
dx	The component of the specified displacement in the x-direction.
dy	The component of the specified displacement in the y-direction.
dz	The component of the specified displacement in the z-direction.

Returns: A Geometry equal to g extruded by the displacement vector {dx, dy, dz}.

Precondition: g must be a valid geometry.; dx, dy and dz must all be finite.

Note: If g is such that g.isMeasured() is true, then, since there is no common expectation of the values of the measures on the returned Geometry, all measures from the result are removed.

Warning: No actual validity check is conducted.

◆ extrude() [2/3]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::extrude	(	const Geometry &	g,
		const Kernel::Vector_3 &	v
	)

Returns a Geometry equal to the specified Geometry, extruded by the specified displacement vector.

Parameters

g	The specified Geometry.
v	The specified displacement vector.

Returns: A Geometry equal to g extruded by the displacement vector v.

Precondition: g must be a valid geometry.

Note: If g is such that g.isMeasured() is true, then, since there is no common expectation of the values of the measures on the returned Geometry, all measures from the result are removed.

Todo:: Improve extrude for 3D surfaces - Extrude only faces whose scalar_product(v,normal) > 0 and use Polyhedron union to get output geometries with a clean topology.

◆ extrude() [3/3]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::extrude	(	const Geometry &	g,
		Kernel::FT	dx,
		Kernel::FT	dy,
		Kernel::FT	dz,
		NoValidityCheck	nvc
	)

Returns a Geometry equal to the specified Geometry, extruded by the specified displacement.

Parameters

g	The specified Geometry.
dx	The component of the specified displacement in the x-direction.
dy	The component of the specified displacement in the y-direction.
dz	The component of the specified displacement in the z-direction.
nvc	A NoValidityCheck object.

Returns: A Geometry equal to g extruded by the displacement vector {dx, dy, dz}.

Precondition: g must be a valid geometry.; dx, dy and dz must all be finite.

Note: If g is such that g.isMeasured() is true, then, since there is no common expectation of the values of the measures on the returned Geometry, all measures from the result are removed.

Warning: No actual validity check is conducted.

◆ intersection() [1/3]

template<int Dim>

void SFCGAL::algorithm::intersection	(	const GeometrySet< Dim > &	a,
		const GeometrySet< Dim > &	b,
		GeometrySet< Dim > &	output
	)

◆ intersection() [2/3]

template<int Dim>

void SFCGAL::algorithm::intersection	(	const PrimitiveHandle< Dim > &	pa,
		const PrimitiveHandle< Dim > &	pb,
		GeometrySet< Dim > &	output
	)

◆ intersection() [3/3]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::intersection	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Intersection on 2D geometries.

No validity check variant

Precondition: ga and gb are valid geometries

Warning: No actual validity check is done.

◆ intersection3D()

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::intersection3D	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Intersection on 3D geometries.

Assume z = 0 if needed

Precondition: ga and gb are valid geometries

Warning: @ No actual validity check is done

◆ intersects() [1/3]

template<int Dim>

bool SFCGAL::algorithm::intersects	(	const GeometrySet< Dim > &	a,
		const GeometrySet< Dim > &	b
	)

Intersection test on GeometrySet.

◆ intersects() [2/3]

template<int Dim>

bool SFCGAL::algorithm::intersects	(	const PrimitiveHandle< Dim > &	pa,
		const PrimitiveHandle< Dim > &	pb
	)

Intersection test on a PrimitiveHandle.

◆ intersects() [3/3]

SFCGAL_API bool SFCGAL::algorithm::intersects	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Intersection test on 2D geometries.

Force projection to z=0 if needed

Precondition: ga and gb are valid geometries

Warning: the validity is assumed, no actual check is done

◆ intersects3D()

SFCGAL_API bool SFCGAL::algorithm::intersects3D	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Intersection test on 3D geometries.

Assume z = 0 if needed

Precondition: ga and gb are valid geometries

Warning: the validity is assumed, no actual check is done

◆ isClosed()

SFCGAL_API bool SFCGAL::algorithm::isClosed ( const SurfaceGraph & graph )

test if a surface is closed, the graph should be build beforehand

Note: the surface may not be connected, eg. two spheres will yield a true result

◆ isConnected()

SFCGAL_API bool SFCGAL::algorithm::isConnected ( const SurfaceGraph & graph )

test if a surface is connected, the graph should be build beforehand

◆ isPlane3D()

template<typename Kernel >

bool SFCGAL::algorithm::isPlane3D	(	const Geometry &	geom,
		const double &	toleranceAbs
	)

Test if all points of a geometry lie in the same plane.

◆ minkowskiSum()

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::minkowskiSum	(	const Geometry &	gA,
		const Polygon &	gB,
		NoValidityCheck
	)

2D minkowski sum (p+q)

Warning: If gA is a polygon, its orientation is taken into account. A "reversed" polygon (with a clockwise-oriented exterior ring) will involve a minkowski difference rather than a sum.

Todo:: missing cases (union)

Precondition: gA and gB are valid geometries

Warning: @ No actual validity check is done.

◆ offset()

SFCGAL_API std::unique_ptr< MultiPolygon > SFCGAL::algorithm::offset	(	const Geometry &	g,
		const double &	r,
		NoValidityCheck
	)

[experimental]compute polygon offset

Warning: test in order to compare with minkowski sum

Precondition: g is a valid Geometry

Warning: No actual validity check is done.

◆ opentriangulatePolygon3D()

SFCGAL_API void SFCGAL::triangulate::opentriangulatePolygon3D	(	const GeometryCollection &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate a 3D MultiPolygon.

Todo:: unittest

◆ selfIntersects() [1/3]

bool SFCGAL::algorithm::selfIntersects ( const LineString & l )

Self intersection test for 2D LineString (false if only endpoint touch)

◆ selfIntersects() [2/3]

bool SFCGAL::algorithm::selfIntersects	(	const PolyhedralSurface &	s,
		const SurfaceGraph &	g
	)

Self intersection test for 2D PolyhedralSurface (false if only point touch)

◆ selfIntersects() [3/3]

bool SFCGAL::algorithm::selfIntersects	(	const TriangulatedSurface &	tin,
		const SurfaceGraph &	g
	)

Self intersection test for 2D TriangulatedSurface (false if only point touch)

◆ selfIntersects3D() [1/3]

bool SFCGAL::algorithm::selfIntersects3D ( const LineString & l )

Self intersection test for 3D LineString (false if only endpoints touch)

◆ selfIntersects3D() [2/3]

bool SFCGAL::algorithm::selfIntersects3D	(	const PolyhedralSurface &	s,
		const SurfaceGraph &	g
	)

Self intersection test for 3D PolyhedralSurface (false if only point touch)

◆ selfIntersects3D() [3/3]

bool SFCGAL::algorithm::selfIntersects3D	(	const TriangulatedSurface &	tin,
		const SurfaceGraph &	g
	)

Self intersection test for 3D TriangulatedSurface (false if only point touch)

◆ serialize()

template<class Archive >

void SFCGAL::Geometry::serialize	(	Archive &	,
		const unsigned int
	)

inline

Serializer.

◆ sfcgal_geometry_make_solid()

SFCGAL_API sfcgal_geometry_t* sfcgal_geometry_make_solid ( const sfcgal_geometry_t * geom )

Convert a PolyhedralSurface to a Solid.

Precondition: isValid(geom) == true

Postcondition: isValid(return) == true

◆ signedArea() [1/2]

SFCGAL_API Kernel::FT SFCGAL::algorithm::signedArea ( const LineString & g )

Compute the 2D signed area for a closed LineString.

◆ signedArea() [2/2]

SFCGAL_API Kernel::FT SFCGAL::algorithm::signedArea ( const Triangle & g )

Compute the 2D signed area for a Triangle.

◆ straightSkeleton() [1/2]

SFCGAL_API std::unique_ptr< MultiLineString > SFCGAL::algorithm::straightSkeleton	(	const MultiPolygon &	g,
		bool	autoOrientation = `true`,
		bool	innerOnly = `false`,
		bool	outputDistanceInM = `false`
	)

build a 2D straight skeleton for a Polygon

Exceptions

NotImplementedException If g is a Polygon with point touching rings.

◆ straightSkeleton() [2/2]

SFCGAL_API std::unique_ptr< MultiLineString > SFCGAL::algorithm::straightSkeleton	(	const Polygon &	g,
		bool	autoOrientation = `true`,
		bool	innerOnly = `false`,
		bool	outputDistanceInM = `false`
	)

build a 2D straight skeleton for a Polygon

Exceptions

NotImplementedException If g is a Polygon with point touching rings.

◆ tesselate()

SFCGAL_API std::unique_ptr< SFCGAL::Geometry > SFCGAL::algorithm::tesselate	(	const Geometry &	,
		NoValidityCheck
	)

Tesselate a geometry: this will triangulate surfaces (including polyhedral and solid's surfaces) and keep untouched points, lines, etc.

Precondition: g is a valid geometry

Warning: No actual validity check is done.

◆ triangulatePolygon3D() [1/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const Geometry &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate 3D polygons in a Geometry.

Parameters

g	input geometry
triangulatedSurface	resulting TriangulatedSurface
usePolygonPlanes	use polygon plane or Triangulate in OXY plane

Todo:: unittest

◆ triangulatePolygon3D() [2/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const Polygon &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate a 3D Polygon.

Todo:: unittest

◆ triangulatePolygon3D() [3/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const PolyhedralSurface &	polyhedralSurface,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate 3D polygons in a PolyhedralSurface.

Todo:: unittest

◆ triangulatePolygon3D() [4/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const Solid &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate a Solid.

Todo:: unittest

◆ triangulatePolygon3D() [5/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const Triangle &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate a 3D Triangle (copy triangle)

Todo:: unittest

◆ triangulatePolygon3D() [6/6]

SFCGAL_API void SFCGAL::triangulate::triangulatePolygon3D	(	const TriangulatedSurface &	g,
		TriangulatedSurface &	triangulatedSurface
	)

Triangulate a 3D TriangulatedSurface (copy triangles)

Todo:: unittest

◆ union3D()

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::union3D	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Union on 3D geometries.

Assume z = 0 if needed

Precondition: ga and gb are valid geometries

Warning: @ No actual validity check is done

◆ union_() [1/3]

template<int Dim>

void SFCGAL::algorithm::union_	(	const detail::GeometrySet< Dim > &	a,
		const detail::GeometrySet< Dim > &	b,
		detail::GeometrySet< Dim > &
	)

◆ union_() [2/3]

template<int Dim>

void SFCGAL::algorithm::union_	(	const detail::PrimitiveHandle< Dim > &	a,
		const detail::PrimitiveHandle< Dim > &	b,
		detail::GeometrySet< Dim > &
	)

◆ union_() [3/3]

SFCGAL_API std::unique_ptr< Geometry > SFCGAL::algorithm::union_	(	const Geometry &	ga,
		const Geometry &	gb,
		NoValidityCheck
	)

Union on 2D geometries.

No validity check variant

Precondition: ga and gb are valid geometries

Warning: No actual validity check is done.

◆ volume()

SFCGAL_API const Kernel::FT SFCGAL::algorithm::volume	(	const Solid &	g,
		NoValidityCheck
	)

Computes the volume of a Solid.

Precondition: (not checked) volume is closed and consistently oriented

Classes

Functions

Detailed Description

Function Documentation

◆ accept() [1/2]

◆ accept() [2/2]

◆ area() [1/6]

◆ area() [2/6]

◆ area() [3/6]

◆ area() [4/6]

◆ area() [5/6]

◆ area() [6/6]

◆ area3D() [1/6]

– area3D

◆ area3D() [2/6]

◆ area3D() [3/6]

◆ area3D() [4/6]

◆ area3D() [5/6]

◆ area3D() [6/6]

◆ collect() [1/2]

◆ collect() [2/2]

◆ collectionHomogenize()

◆ covers() [1/3]

◆ covers() [2/3]

◆ covers() [3/3]

◆ coversPoints()

◆ coversPoints3D()

◆ difference() [1/2]

◆ difference() [2/2]

◆ difference3D()

◆ distance()

◆ distance3D()

◆ distanceGeometryCollectionToGeometry()

◆ distanceGeometryCollectionToGeometry3D()

◆ distanceLineStringGeometry()

◆ distanceLineStringGeometry3D()

◆ distanceLineStringLineString()

◆ distanceLineStringLineString3D()

◆ distanceLineStringPolygon()

◆ distanceLineStringPolygon3D()

◆ distanceLineStringSolid3D()

◆ distanceLineStringTriangle()

◆ distanceLineStringTriangle3D()

◆ distancePointGeometry()

◆ distancePointGeometry3D()

◆ distancePointLineString()

◆ distancePointLineString3D()

◆ distancePointPoint()

◆ distancePointPoint3D()

◆ distancePointPolygon()

◆ distancePointPolygon3D()

◆ distancePointSegment()

◆ distancePointSegment3D()

◆ distancePointSolid3D()

◆ distancePointTriangle()

◆ distancePointTriangle3D() [1/2]

◆ distancePointTriangle3D() [2/2]

◆ distancePolygonGeometry()

◆ distancePolygonGeometry3D()

◆ distancePolygonPolygon()

◆ distancePolygonTriangle()

◆ distanceSegmentSegment()

◆ distanceSegmentSegment3D()

◆ distanceSegmentTriangle3D()

◆ distanceSolidGeometry3D()

◆ distanceSolidSolid3D()

◆ distanceTriangleGeometry()

◆ distanceTriangleGeometry3D()

◆ distanceTriangleSolid3D()

◆ distanceTriangleTriangle3D()

◆ extrude() [1/3]

◆ extrude() [2/3]

◆ extrude() [3/3]

◆ intersection() [1/3]

◆ intersection() [2/3]

◆ intersection() [3/3]

◆ intersection3D()

◆ intersects() [1/3]

◆ intersects() [2/3]

◆ intersects() [3/3]