Parent class of all objects, contains full triangulation and its constituent parts. More...

#include <Mesh.hpp>

Inheritance diagram for Mesh:

Collaboration diagram for Mesh:

Public Member Functions
	Mesh ()
	Default contructor.

	~Mesh ()
	Default destructor.

std::vector< Vec >	resolvePoints (std::vector< vertInd > vertInds)
	Implementation of IMesh::resolvePoints Resolves vector of vertex indices to vector of vertex pointers.

bool	isDelaunay ()
	Checks whether mesh is Delauney.

std::vector< edge >	newEdges (triInd triInd, const std::vector< vertInd > &vert)
	Implementation of IMesh::newEdges Adds triangle's new edges to map.

void	removeEdges (triInd triInd, const std::vector< edge > &rEdge)
	Implementation of IMesh::removeEdges Remove triangle's old edges from map.

int	containingTriangle (double x, double y)
	Find the triangle which contains the point \((x,y)\).

std::vector< int >	adjacentTriangles (triInd triInd)
	Find all triangles that share an edge with triangle represented by triInd.

void	recalcCircum (vertInd vertInd)
	Implementation of IMesh::recalcCircum Recalculate the Triangle::circumcircle of all Triangles using vertex represented by vertInd.

void	updateVertTri (triInd triInd, std::vector< vertInd > vertInds)
	Implementation of IMesh::updateVertTri Add Triangle represented by triInd to vertTri.

void	removeVertTri (triInd triInd, std::vector< vertInd > rVertInds)
	Implementation of IMesh::removeVertTri Remove triangle index from vertTri.

template<typename T>
double	integrate (T func, double(*interp)(T, const Triangle &))
	Estimate the integral of the function func over the mesh.

const std::map< int, Vertex > &	getVertices () const
	Accessor to private member vertices.

void	setVertices (const std::map< int, Vertex > &vertices)
	Mutator for private member vertices.

const std::map< int, Triangle > &	getTriangles () const
	Accessor to private member vertices.

void	setTriangles (const std::map< int, Triangle > &triangles)
	Mutator for private member triangles.

int	getVertexAttributes () const
	Accessor for private member vertexAttributes.

void	setVertexAttributes (int verAttr)
	Mutator for private member vertexAttributes.

int	getTriangleAttributes () const
	Accessor for private member triangleAttributes.

void	setTriangleAttributes (int triAttr)
	Mutator for private member triangleAttributes.

int	getDimensions () const
	Accessor for private member dimensions.

const std::map< std::pair< int, int >, std::vector< int > > &	getEdges () const
	Accessor for private member edges.

bool	operator== (const Mesh &rhs) const
	Equality operator.

bool	operator!= (const Mesh &rhs) const
	Not-equality operator.

Public Member Functions inherited from IMesh
virtual	~IMesh ()
	Virtual destructor.

Private Attributes
int	vertexAttributes
	Number of attributes in a vertex object.

int	triangleAttributes
	Number of attributes in a triangle object.

int	dimensions
	Number of dimensions of the mesh.

std::map< triInd, Triangle >	triangles
	Map of triangle indices to triangles they refer to.

std::map< vertInd, Vertex >	vertices
	Map of vertex indices to vertices they refer to.

std::map< edge, std::vector< triInd > >	edges
	Map of pairs of vertex indices (representing an edge) to a vector of triangles using them.

std::map< vertInd, std::vector< triInd > >	vertTri
	Map of a vertex index to a vector of triangles using them.

Friends
std::ifstream &	operator>> (std::ifstream &ifs, Mesh &mesh)
	Input filestream operator.

std::ofstream &	operator<< (std::ofstream &ofs, Mesh &mesh)
	Output filestream operator.

Additional Inherited Members
Public Types inherited from IMesh
typedef std::pair< int, int >	edge
	Type representing an edge, two vertex indices.

typedef int	vertInd
	Type representing an index of a vertex.

typedef int	triInd
	Type representing an index of a triangle.

Detailed Description

Parent class of all objects, contains full triangulation and its constituent parts.

Member Function Documentation

◆ adjacentTriangles()

std::vector< int > Mesh::adjacentTriangles ( triInd triInd )

Find all triangles that share an edge with triangle represented by triInd.

Parameters

triInd Index of querying triangle

Returns: Vector of indices of adjacent triangles

◆ containingTriangle()

int Mesh::containingTriangle	(	double	x,
		double	y )

Find the triangle which contains the point \((x,y)\).

Parameters

x
y

Returns: Index of containing triangle, or -1 if not inside

◆ getDimensions()

int Mesh::getDimensions ( ) const

Accessor for private member dimensions.

Returns: number of dimensions

◆ getEdges()

const std::map< Mesh::edge, std::vector< int > > & Mesh::getEdges ( ) const

Accessor for private member edges.

Returns: Map of pairs of vertex indices (edges) to a std::vector of triangle indices that use that side

◆ getTriangleAttributes()

int Mesh::getTriangleAttributes ( ) const

Accessor for private member triangleAttributes.

Returns: number of Triangle attributes

◆ getTriangles()

const std::map< int, Triangle > & Mesh::getTriangles ( ) const

Accessor to private member vertices.

Returns: Map of indices to Triangle instances

◆ getVertexAttributes()

int Mesh::getVertexAttributes ( ) const

Accessor for private member vertexAttributes.

Returns: number of Vertex attributes

◆ getVertices()

const std::map< int, Vertex > & Mesh::getVertices ( ) const

Accessor to private member vertices.

Returns: Map of indices to Vertex instances

◆ integrate()

template<typename T>

double Mesh::integrate	(	T	func,
		double(*	interp )(T, const Triangle &) )

inline

Estimate the integral of the function func over the mesh.

Template Parameters

T	function with signature double (double, double)

Parameters

func	Mathematical function to be integrated
interp	Function with signature double(T, const Triangle&) which will integrate the function over a triangle Examples are Utils::constantValueApprox and Utils::linearInterpolationApprox

Returns: Estimation of the integral

◆ isDelaunay()

bool Mesh::isDelaunay ( )

Checks whether mesh is Delauney.

Returns: bool representing whether or not mesh is Delauney

Exceptions

std::runtime_error if mesh has no triangles

◆ newEdges()

std::vector< std::pair< int, int > > Mesh::newEdges	(	triInd	triInd,
		const std::vector< vertInd > &	vert )

virtual

Implementation of IMesh::newEdges Adds triangle's new edges to map.

Parameters

triInd	index of the triangle using the vertices
vert	Vector of vertex indices being used by the triangle

Returns: Vector of pairs of vectors representing an edge

Implements IMesh.

◆ operator!=()

bool Mesh::operator!= ( const Mesh & rhs ) const

Not-equality operator.

Parameters

rhs

Returns

◆ operator==()

bool Mesh::operator== ( const Mesh & rhs ) const

Equality operator.

Note: Copy operator is generated by the compiler

Parameters

rhs

Returns

◆ recalcCircum()

void Mesh::recalcCircum ( vertInd vertInd )

virtual

Implementation of IMesh::recalcCircum Recalculate the Triangle::circumcircle of all Triangles using vertex represented by vertInd.

called after coordinates of a Vertex changed using mutator
Parameters

vertInd Index of changed Vector

Implements IMesh.

◆ removeEdges()

void Mesh::removeEdges	(	triInd	triInd,
		const std::vector< edge > &	rEdge )

virtual

Implementation of IMesh::removeEdges Remove triangle's old edges from map.

Parameters

triInd	index of triangle using the vertices
rEdge	Vector of edges that are no longer in use by the triangle

Implements IMesh.

◆ removeVertTri()

void Mesh::removeVertTri	(	triInd	triInd,
		std::vector< vertInd >	rVertInds )

virtual

Implementation of IMesh::removeVertTri Remove triangle index from vertTri.

Parameters

triInd	Index of triangle to be removed
rVertInds	Old indices used by Triangle

Implements IMesh.

◆ resolvePoints()

std::vector< Vec > Mesh::resolvePoints ( std::vector< vertInd > vertInds )

virtual

Implementation of IMesh::resolvePoints Resolves vector of vertex indices to vector of vertex pointers.

Parameters

vertInds Vector of indices of vertexes

Returns: Vector of coordinates matching the indices given by pointIndices

Exceptions

std::runtime_error if index is out of range of valid vertices

Implements IMesh.

◆ setTriangleAttributes()

void Mesh::setTriangleAttributes ( int triAttr )

Mutator for private member triangleAttributes.

Parameters

triAttr number of Triangle attributes

◆ setTriangles()

void Mesh::setTriangles ( const std::map< int, Triangle > & triangles )

Mutator for private member triangles.

Parameters

triangles Map of indices to Triangle instances

◆ setVertexAttributes()

void Mesh::setVertexAttributes ( int verAttr )

Mutator for private member vertexAttributes.

Parameters

verAttr number of Vertex attributes

◆ setVertices()

void Mesh::setVertices ( const std::map< int, Vertex > & vertices )

Mutator for private member vertices.

Parameters

vertices Map of indices to Vertex instances

◆ updateVertTri()

void Mesh::updateVertTri	(	triInd	triInd,
		std::vector< vertInd >	vertInds )

virtual

Implementation of IMesh::updateVertTri Add Triangle represented by triInd to vertTri.

Used by Mesh::recalcCircum
Parameters

triInd Index of triangle to be added

vertInds Indices of vertices used by Triangle

Implements IMesh.

Friends And Related Symbol Documentation

◆ operator<<

std::ofstream & operator<<	(	std::ofstream &	ofs,
		Mesh &	mesh )

friend

Output filestream operator.

Parameters

ofs
mesh

Returns

◆ operator>>

std::ifstream & operator>>	(	std::ifstream &	ifs,
		Mesh &	mesh )

friend

Input filestream operator.

Parameters

ifs
mesh

Returns

Member Data Documentation

◆ edges

std::map<edge, std::vector<triInd> > Mesh::edges

private

Map of pairs of vertex indices (representing an edge) to a vector of triangles using them.

Used to find adjacent triangles

◆ vertTri

std::map<vertInd, std::vector<triInd> > Mesh::vertTri

private

Map of a vertex index to a vector of triangles using them.

Used to find circumcentres that must be updated when vector values change

The documentation for this class was generated from the following files:

src/Mesh.hpp
src/Mesh.cpp

triInd	Index of triangle to be added
vertInds	Indices of vertices used by Triangle

Public Member Functions

Private Attributes

Friends

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ adjacentTriangles()

◆ containingTriangle()

◆ getDimensions()

◆ getEdges()

◆ getTriangleAttributes()

◆ getTriangles()

◆ getVertexAttributes()

◆ getVertices()

◆ integrate()

◆ isDelaunay()

◆ newEdges()

◆ operator!=()

◆ operator==()

◆ recalcCircum()

◆ removeEdges()

◆ removeVertTri()

◆ resolvePoints()

◆ setTriangleAttributes()

◆ setTriangles()

◆ setVertexAttributes()

◆ setVertices()

◆ updateVertTri()

Friends And Related Symbol Documentation

◆ operator<<

◆ operator>>

Member Data Documentation

◆ edges

◆ vertTri