Basic

Classes

• struct tlp::Array< Obj, SIZE >

  Fixed-size array encapsulation. In debug mode, a bound check is performed at each access. More...
  

• struct tlp::Circle< Obj >

  class for circle More...
  

• class tlp::VoronoiDiagram
• class tlp::Matrix< Obj, SIZE >

  class for mathematical square matrix More...
  

• struct tlp::Rectangle< Obj >

  class for rectangle More...
  

• class tlp::Vector

  class for mathematical vector More...
  

• class tlp::VectorCast

  class for mathematical vector More...
  

Typedefs

• typedef Vector< double, 2 > tlp::Vec2d

  typedef for 2D vector of double
  

• typedef Vector< double, 3 > tlp::Vec3d

  typedef for 3D vector of double
  

• typedef Vector< double, 4 > tlp::Vec4d

  typedef for 4D vector of double
  

• typedef Vector< float, 2 > tlp::Vec2f

  typedef for 2D vector of float
  

• typedef Vector< float, 3 > tlp::Vec3f

  typedef for 3D vector of float
  

• typedef Vector< float, 4 > tlp::Vec4f

  typedef for 4D vector of float
  

Functions

• template<typename Obj , unsigned int SIZE> std::ostream & tlp::operator<< (std::ostream &os, const Array< Obj, SIZE > &array)
• template<typename Obj , unsigned int SIZE> std::istream & tlp::operator>> (std::istream &is, Array< Obj, SIZE > &)
• template<typename Obj > Circle< Obj > tlp::enclosingCircle (const Circle< Obj > &, const Circle< Obj > &)
• template<typename Obj > Circle< Obj > tlp::enclosingCircle (const std::vector< Circle< Obj > > &circles)
• template<typename Obj > Circle< Obj > tlp::lazyEnclosingCircle (const std::vector< Circle< Obj > > &circles)
• template<typename Obj > std::ostream & tlp::operator<< (std::ostream &os, const Circle< Obj > &)
• TLP_SCOPE void tlp::convexHull (const std::vector< Coord > &points, std::vector< unsigned int > &convexHull)

  function for convex hull manipulation
  

• TLP_SCOPE void tlp::mergeHulls (const std::vector< Coord > &points, const std::vector< unsigned int > &hull1, const std::vector< unsigned int > &hull2, std::vector< unsigned int > &mergedConvexHull)
• TLP_SCOPE void tlp::intersectHulls (std::vector< Coord > &points, const std::vector< unsigned int > &hull1, const std::vector< unsigned int > &hull2, std::vector< unsigned int > &intersection)
• TLP_SCOPE double tlp::areaOfHull (const std::vector< Coord > &points, const std::vector< unsigned int > &hull)
• TLP_SCOPE bool tlp::insideHull (const std::vector< Coord > &points, const std::vector< unsigned int > &hull, const Coord &point)
• TLP_SCOPE void tlp::delaunayTriangulation (const std::vector< Coord > &points, std::vector< std::pair< unsigned int, unsigned int > > &edges)

  functions for Delaunay Triangulations
  

• void tlp::delaunayTriangulation (const std::vector< Coord > &points, std::vector< tlp::Array< unsigned int, 3 > > &triangles)
• void tlp::delaunayTriangulation (const std::vector< Coord > &points, std::vector< std::pair< unsigned int, unsigned int > > &edges, std::vector< tlp::Array< unsigned int, 3 > > &triangles)
• void tlp::voronoiDiagram (const std::vector< Coord > &points, VoronoiDiagram &voronoiDiagram, bool returnVoronoiEdgeList=false)
• template<typename Obj , unsigned int SIZE> MATRIX tlp::operator* (const MATRIX &mat, const Obj &obj)
• template<typename Obj , unsigned int SIZE> MATRIX tlp::operator* (const MATRIX &mat1, const MATRIX &mat2)
• template<typename Obj , unsigned int SIZE> Vector< Obj, SIZE > tlp::operator* (const Vector< Obj, SIZE > &vec, const tlp::Matrix< Obj, SIZE > &)
• template<typename Obj , unsigned int SIZE> Vector< Obj, SIZE > tlp::operator* (const Matrix< Obj, SIZE > &, const Vector< Obj, SIZE > &vec)
• TEMPLATEVECTOR VECTOR tlp::minVector (const VECTOR &u, const VECTOR &v)
• TEMPLATEVECTOR VECTOR tlp::maxVector (const VECTOR &u, const VECTOR &v)
• TEMPLATEVECTOR VECTOR tlp::operator* (const VECTOR &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator* (const TYPE &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator* (const VECTOR &, const TYPE &)
• TEMPLATEVECTOR VECTOR tlp::operator+ (const VECTOR &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator+ (const VECTOR &, const TYPE &)
• TEMPLATEVECTOR VECTOR tlp::operator- (const VECTOR &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator- (const VECTOR &, const TYPE &)
• TEMPLATEVECTOR VECTOR tlp::operator/ (const VECTOR &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator/ (const VECTOR &, const TYPE &)
• TEMPLATEVECTOR VECTOR tlp::operator^ (const VECTOR &, const VECTOR &)
• TEMPLATEVECTOR VECTOR tlp::operator- (const VECTOR &)

---

Typedef Documentation

typedef Vector<double, 2> tlp::Vec2d

typedef for 2D vector of double

typedef Vector<float, 2> tlp::Vec2f

typedef for 2D vector of float

typedef Vector<double, 3> tlp::Vec3d

typedef for 3D vector of double

typedef Vector<float, 3> tlp::Vec3f

typedef for 3D vector of float

typedef Vector<double, 4> tlp::Vec4d

typedef for 4D vector of double

typedef Vector<float, 4> tlp::Vec4f

typedef for 4D vector of float

---

Function Documentation

TLP_SCOPE double tlp::areaOfHull	(	const std::vector< Coord > &	points,
		const std::vector< unsigned int > &	hull
	)

Computes the area of the convex "hull" which is a list of indexes into the vector of Coord "points".

TLP_SCOPE void tlp::convexHull	(	const std::vector< Coord > &	points,
		std::vector< unsigned int > &	convexHull
	)

function for convex hull manipulation

Contains functions for computing, merging, intersecting, and testing convex hulls.

Author:

: Daniel Archambault archam@cs.ubc.ca,

Version:

0.0.3 26/06/2006 Compute the convex hull and return a list of indexes for the points on the convex hull in counterclockwise order. The convexHull vector is automatically cleared. The algorithm runs in O(nlgn) time.

void tlp::delaunayTriangulation	(	const std::vector< Coord > &	points,
		std::vector< std::pair< unsigned int, unsigned int > > &	edges,
		std::vector< tlp::Array< unsigned int, 3 > > &	triangles
	)

Compute the delaunay triangulation and return the set of edges in the vector edge and triangles of the triangulation in the vector triangles. Triangles are defined using a triple indexes into the original set of points.

void tlp::delaunayTriangulation	(	const std::vector< Coord > &	points,
		std::vector< tlp::Array< unsigned int, 3 > > &	triangles
	)

Compute the delaunay triangulation and return the set of triangles of the triangulation in the vector triangles. Triangles are defined using a triple indexes into the original set of points.

TLP_SCOPE void tlp::delaunayTriangulation	(	const std::vector< Coord > &	points,
		std::vector< std::pair< unsigned int, unsigned int > > &	edges
	)

functions for Delaunay Triangulations

Used to triangulate a set of points in the plane

Author:

: David Auber/Daniel Archambault : auber@tulip-software.org

Version:

0.0.1 02/06/2005 Compute the delaunay triangulation and return the set of edges of the triangulation in the vector edges. Edges are defined using a pair of indexes into the original set of points.

template<typename Obj >

Circle<Obj> tlp::enclosingCircle

(

const std::vector< Circle< Obj > > &

circles

)

[inline]

Compute the optimum enclosing circle of a set of circles.

template<typename Obj >

Circle<Obj> tlp::enclosingCircle	(	const Circle< Obj > &	,
		const Circle< Obj > &
	)			[inline]

Compute the optimum enclosing circle of 2 circles.

TLP_SCOPE bool tlp::insideHull	(	const std::vector< Coord > &	points,
		const std::vector< unsigned int > &	hull,
		const Coord &	point
	)

Returns true if "point" is inside "hull". Hull is a list of indexes into the vector of Coord "points."

TLP_SCOPE void tlp::intersectHulls	(	std::vector< Coord > &	points,
		const std::vector< unsigned int > &	hull1,
		const std::vector< unsigned int > &	hull2,
		std::vector< unsigned int > &	intersection
	)

Intersects two convex hulls using the algorithm of O'Rourke, Chien, Olson, and Naddor, 1982. Code inspired by Computational Geometry in C by Joseph O'Rourke pp 243 -- 251. and code on his website: http://maven.smith.edu/~orourke/books/compgeom.html Provide a full list of points involved in the convex hull computation in "points". The vectors hull1 and hull2 contain a list of indexes into the points vector that define the vertices of the convex hull. The indices corresponding to the points on the intersecting hull are returned in "intersection". Node that several points may be inserted into the "points" list. These points correspond to the points generated when edges of hull1 and hull2 intersect.

template<typename Obj >

Circle<Obj> tlp::lazyEnclosingCircle

(

const std::vector< Circle< Obj > > &

circles

)

[inline]

Compute an enclosing circle of a set of circles, this algorithm is an aproximation of the smallest enclosing circle.

TEMPLATEVECTOR VECTOR tlp::maxVector	(	const VECTOR &	u,
		const VECTOR &	v
	)			[inline]

Return the maximum of each dimension of the two vectors for instance for a 2 vectors of dim 2 : max(V1, V2) = (max(V1[0], v2[0]), max(V1[1], v2[1))

TLP_SCOPE void tlp::mergeHulls	(	const std::vector< Coord > &	points,
		const std::vector< unsigned int > &	hull1,
		const std::vector< unsigned int > &	hull2,
		std::vector< unsigned int > &	mergedConvexHull
	)

Merges two convex hulls hull1 and hull2 using the rotating calipers method of Pirzadeh and Touissaint. The mergedConvexHull vector is automatically cleared and the vertices of the hulls must be specified in counter clockwise order. Provide a full list of all points involved in the convex hull computation in the vector points. The vectors hull1 and hull2 contain a list of indexes into the points vector that define the vertices of the convex hull. The indexes into points of the verticies on the merged convex hull are returned in the vector mergedConvexHull.

TEMPLATEVECTOR VECTOR tlp::minVector	(	const VECTOR &	u,
		const VECTOR &	v
	)			[inline]

Return the minimun of each dimension of the two vectors for instance for a 2 vectors of dim 2 : min(V1, V2) = (min(V1[0], v2[0]), min(V1[1], v2[1))

TEMPLATEVECTOR VECTOR tlp::operator*	(	const VECTOR &	,
		const TYPE &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator*	(	const TYPE &	,
		const VECTOR &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator*	(	const VECTOR &	,
		const VECTOR &
	)			[inline]

template<typename Obj , unsigned int SIZE>

Vector<Obj,SIZE> tlp::operator*	(	const Matrix< Obj, SIZE > &	,
		const Vector< Obj, SIZE > &	vec
	)			[inline]

Returns a new vector equal to the multiplication of the matrix by a vector

template<typename Obj , unsigned int SIZE>

Vector<Obj,SIZE> tlp::operator*	(	const Vector< Obj, SIZE > &	vec,
		const tlp::Matrix< Obj, SIZE > &
	)			[inline]

Returns a new vector equal to the multiplication of the vector by a matrix,(the vector is automatically transposed to do the multiplication)

template<typename Obj , unsigned int SIZE>

MATRIX tlp::operator*	(	const MATRIX &	mat1,
		const MATRIX &	mat2
	)			[inline]

Returns a new matrix equal to the multiplication of the matrix by another matrix

template<typename Obj , unsigned int SIZE>

MATRIX tlp::operator*	(	const MATRIX &	mat,
		const Obj &	obj
	)			[inline]

Returns a new matrix equal to the multiplication of the matrix by obj

TEMPLATEVECTOR VECTOR tlp::operator+	(	const VECTOR &	,
		const TYPE &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator+	(	const VECTOR &	,
		const VECTOR &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator-

(

const VECTOR &

)

[inline]

TEMPLATEVECTOR VECTOR tlp::operator-	(	const VECTOR &	,
		const TYPE &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator-	(	const VECTOR &	,
		const VECTOR &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator/	(	const VECTOR &	,
		const TYPE &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator/	(	const VECTOR &	,
		const VECTOR &
	)			[inline]

template<typename Obj >

std::ostream& tlp::operator<<	(	std::ostream &	os,
		const Circle< Obj > &
	)			[inline]

Write circle in a stream

template<typename Obj , unsigned int SIZE>

std::ostream& tlp::operator<<	(	std::ostream &	os,
		const Array< Obj, SIZE > &	array
	)			[inline]

template<typename Obj , unsigned int SIZE>

std::istream& tlp::operator>>	(	std::istream &	is,
		Array< Obj, SIZE > &
	)			[inline]

TEMPLATEVECTOR VECTOR tlp::operator^	(	const VECTOR &	,
		const VECTOR &
	)			[inline]

void tlp::voronoiDiagram	(	const std::vector< Coord > &	points,
		VoronoiDiagram &	voronoiDiagram,
		bool	returnVoronoiEdgeList = false
	)

Compute the voronoi diagram of a set of points. The set of input points are given in points. The resultant voronoi diagram is returned in voronoiDiagram. It automatically computes the set of all voronoi vertices, rays, and returns the set of cells in counterclockwise order. If a voronoi edge list is required set returnVoronoiEdgeList to true.