PUBLIC

TriOrthoC::TriOrthoC(void) TriOrthoC::TriOrthoC(BodyTriSetC &,IntT,IntT,IntT) TriOrthoC::TriOrthoC(const TriOrthoC &) TriOrthoC::operator=(const TriOrthoC &) OrthoProjection3to2dC::operator()(const Point3dC &) const OrthoProjection3to2dC::operator[](const Point3dC &) const OrthoProjection3to2dC::operator()(const Point2dC &) const OrthoProjection3to2dC::T(const Point3dC &) const OrthoProjection3to2dC::ODistance(const Point3dC &) const OrthoProjection3to2dC::Normal(void) const OrthoProjection3to2dC::Distance(const Point3dC &) const OrthoProjection3to2dC::operator<<(ostream &,const OrthoProjection3to2dC &) TriC::operator=(const TriC &) TriC::IsValid(void) const TriC::Index(const IntT) const TriC::Bound(void) const TriC::Bound(void) TriC::Vertex(const IntT) const TriC::Normal(void) const TriC::VertexNormal(const IntT) const TriC::EdgeLength(const IntT,const IntT) const TriC::MinimumEdgeLength(void) const TriC::MaximumEdgeLength(void) const TriC::NearestPoint(const Vector3dC) const TriC::SetBodyTriSet(BodyTriSetC &) TriC::BodyTriSet(void) const

TriOrthoC
include	"amma/Tri.hh"
User Level:	Default
Library:	tri
Example:	cri.cc
Section:	default.Adrian Hilton
In Scope:	std

Comments:
================================================================= triangle element + basis for orthogonal projection to 2D tri plane

public OrthoProjection3to2dC
public TriC

TriOrthoC()

TriOrthoC(BodyTriSetC & tris,IntT i,IntT j,IntT k)

TriOrthoC(const TriOrthoC & t)

const TriOrthoC operator=(const TriOrthoC & t)

Point2dC operator()(const Point3dC & p) const

Returns the coordinate of the orthogonal projection of the 3D point 'p'. The returned point coordinates are expressed in the coordinate system of the 2D space (plane).

Point3dC operator[](const Point3dC & p) const

Returns the coordinates of the orthogonal projection of the 3D point 'p'. The returned point coordinates are expressed in the coordinate system of the 3D space.

Point3dC operator()(const Point2dC & p) const

Returns the 3D coordinates of the point 'p' belonging to the embedded 2D space. Coordinate system relationships. --------------------------------

Point3dC T(const Point3dC & p) const

The embedded 2D space coordinate system is added another coordinate to create the positive oriented 3D coordinate system A. The coordinates of the point 'p' are transformed into the coordinate system A and returned.

DistanceT ODistance(const Point3dC & p) const

Returns the oriented orthogonal distance between the point 'p' and the embedded 2D space. The distance is positive if the point 'p' is in the half space which is determined by the positive part of the added coordinate to create positive oriented 2D coordinate system, eg. the same half space as the normal vector points to.

Vector3dC Normal() const

Returns the unit normal vector of the embedded 2D space. The normal vector with the coordinate system of the embedded 2D space defines the positively oriented 3D coordinate system.

DistanceT Distance(const Point3dC & p) const

Returns the orthogonal distance between the point 'p' and the embedded 2D space.

ostream & operator<<(ostream & s,const OrthoProjection3to2dC & p)

const TriC operator=(const TriC & t)

Assignment Copies reference pointer to BodyTriSetC --------------------------------------- Operations

BooleanT IsValid() const

test if this TriC is valid ie not created by default constructor (default constructor is required for array)

IntT Index(const IntT i) const

vertex index 0,1,2 Vector3dC Normal(const TriSetC& tris) const; Unit normal orthogonal to triangle plane

BooleanT Bound() const

BooleanT & Bound()

set/get boundary info. for element Always FALSE unless TriSetC.SetupBound() is called

Vector3dC Vertex(const IntT i) const

vertex 0,1,2

Vector3dC Normal() const

Unit normal orthogonal to triangle plane

Vector3dC VertexNormal(const IntT i) const

vertex normal 0,1,2

RealT EdgeLength(const IntT i,const IntT j) const

Edge lenght vertex i to vertex j i,j=[0,1,2]

RealT MinimumEdgeLength() const

Minimum lenght of 'this' triangle edges

RealT MaximumEdgeLength() const

Maximum lenght of 'this' triangle edges TriNearestPointC NearestPoint(TriSetC& t,const Vector3dC v);

TriNearestPointC NearestPoint(const Vector3dC v) const

nearest point on element

void SetBodyTriSet(BodyTriSetC & ts)

set the pointer to BodyTriSetC for this TriC use to change pointer when moving TriC between BodyTriSetC's or when BodyTriSetC is not set on construction

BodyTriSetC & BodyTriSet() const

access to triset to which this tri belongs for safety should always test if it's valid IsValid()