C2DTriangle Class Reference

Class which represents a triangle. More...

#include <2DTriangle.h>

Inheritance diagram for C2DTriangle:

List of all members.

Public Member Functions
	C2DTriangle (void)
	Constructor.
	C2DTriangle (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Constructor with assignment.
	~C2DTriangle (void)
	Destructor.
void	Set (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Assignement.
bool	Collinear (void) const
	True if the 3 are collinear.
double	GetArea (void) const
	Returns the area.
double	GetAreaSigned (void) const
	Returns the area signed (indicating weather clockwise or not).
bool	IsClockwise (void) const
	True if clockwise.
C2DPoint	GetCircumCentre (void) const
	Returns the circumcentre.
C2DPoint	GetFermatPoint (void) const
	Returns the Fermat point (also known as the Torricelli point).
C2DPoint	GetInCentre (void) const
	InCentre function.
double	GetPerimeter (void) const
	Returns the perimeter.
bool	Contains (const C2DPoint &ptTest)
	Returns true if the point is contained.
void	Move (const C2DVector &Vector)
	Moves the triangle.
void	RotateToRight (double dAng, const C2DPoint &Origin)
	Rotates the triangle.
void	Grow (double dFactor, const C2DPoint &Origin)
	Grows the triangle.
void	Reflect (const C2DPoint &Point)
	Reflects the triangle.
void	Reflect (const C2DLine &Line)
	Reflects the in the line given.
double	Distance (const C2DPoint &ptTest) const
	Distance to a point.
double	Distance (const C2DPoint &ptTest, C2DPoint *ptOnThis) const
	Distance to a point.
double	Distance (const C2DTriangle &Other, C2DPoint *ptOnThis=0, C2DPoint *ptOnOther=0) const
	Distance to another.
void	GetBoundingRect (C2DRect &Rect) const
	Returns the bounding rect.
const C2DPoint &	GetPoint1 (void) const
	Data access.
const C2DPoint &	GetPoint2 (void) const
	Data access.
const C2DPoint &	GetPoint3 (void) const
	Data access.
void	Project (const C2DLine &Line, CInterval &Interval) const
	Projects this onto the line given.
void	Project (const C2DVector &Vector, CInterval &Interval) const
	Projects this onto the vector given.
void	SnapToGrid (void)
	Snaps to the conceptual grid.
Static Public Member Functions
static double	GetAreaSigned (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Static version of area signed function.
static double	IsClockwise (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Returns whether the triangle is clockwise.
static C2DPoint	GetCircumCentre (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Static version of circumcentre function.
static C2DPoint	GetFermatPoint (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Static version of Fermat point function.
static C2DPoint	GetInCentre (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Static version of InCentre function.
static bool	Collinear (const C2DPoint &pt1, const C2DPoint &pt2, const C2DPoint &pt3)
	Static collinear.

---

Detailed Description

Class which represents a triangle.

Class which represents a triangle with a variety of associated functions.

---------------------------------------------------------------------------

---

Constructor & Destructor Documentation

C2DTriangle::C2DTriangle (  void   )

Constructor. -------------------------------------------------------------------------- C2DTriangle::C2DTriangle ---------------------------------------------------------------------------

C2DTriangle::C2DTriangle (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )

Constructor with assignment. -------------------------------------------------------------------------- C2DTriangle::C2DTriangle ---------------------------------------------------------------------------

C2DTriangle::~C2DTriangle (  void   )

Destructor. -------------------------------------------------------------------------- C2DTriangle::~C2DTriangle ---------------------------------------------------------------------------

---

Member Function Documentation

bool C2DTriangle::Collinear (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Static collinear. -------------------------------------------------------------------------- C2DTriangle::Collinear ---------------------------------------------------------------------------

bool C2DTriangle::Collinear (  void   )  const

True if the 3 are collinear. -------------------------------------------------------------------------- C2DTriangle::Collinear ---------------------------------------------------------------------------

bool C2DTriangle::Contains (  const C2DPoint &  ptTest  )

Returns true if the point is contained. -------------------------------------------------------------------------- C2DTriangle::Contains ---------------------------------------------------------------------------

double C2DTriangle::Distance (  const C2DTriangle &  Other, C2DPoint *  ptOnThis = 0, C2DPoint *  ptOnOther = 0 )  const

Distance to another. -------------------------------------------------------------------------- C2DTriangle::Distance ---------------------------------------------------------------------------

double C2DTriangle::Distance (  const C2DPoint &  ptTest, C2DPoint *  ptOnThis )  const

Distance to a point. -------------------------------------------------------------------------- C2DTriangle::Distance ---------------------------------------------------------------------------

double C2DTriangle::Distance (  const C2DPoint &  ptTest  )  const [virtual]

Distance to a point. -------------------------------------------------------------------------- C2DTriangle::Distance --------------------------------------------------------------------------- Implements C2DBase.

double C2DTriangle::GetArea (  void   )  const

Returns the area. -------------------------------------------------------------------------- C2DTriangle::GetArea ---------------------------------------------------------------------------

double C2DTriangle::GetAreaSigned (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Static version of area signed function. -------------------------------------------------------------------------- C2DTriangle::GetAreaSigned ---------------------------------------------------------------------------

double C2DTriangle::GetAreaSigned (  void   )  const

Returns the area signed (indicating weather clockwise or not). -------------------------------------------------------------------------- C2DTriangle::GetAreaSigned ---------------------------------------------------------------------------

void C2DTriangle::GetBoundingRect (  C2DRect &  Rect  )  const [virtual]

Returns the bounding rect. -------------------------------------------------------------------------- C2DTriangle::GetBoundingRect --------------------------------------------------------------------------- Implements C2DBase.

C2DPoint C2DTriangle::GetCircumCentre (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Static version of circumcentre function. -------------------------------------------------------------------------- C2DTriangle::GetCircumCentre The circumcenter of a triangle can be found as the intersection of the three perpendicular bisectors. (A perpendicular bisector is a line that forms a right angle with one of the triangle's sides and intersects that side at its midpoint.) This is because the circumcenter is equidistant from any pair of the triangle's points, and all points on the perpendicular bisectors are equidistant from those points of the triangle. The circumcentre's position depends on the type of triangle: If and only if a triangle is acute (all angles smaller than a right angle), the circumcenter lies inside the triangle. If and only if it is obtuse (has one angle bigger than a right angle), the circumcenter lies outside. If and only if it is a right triangle, the circumcenter lies on one of its sides (namely, the hypotenuse). This is one form of Thales' theorem. ---------------------------------------------------------------------------

C2DPoint C2DTriangle::GetCircumCentre (  void   )  const

Returns the circumcentre. -------------------------------------------------------------------------- C2DTriangle::GetCircumCentre ---------------------------------------------------------------------------

C2DPoint C2DTriangle::GetFermatPoint (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Static version of Fermat point function. -------------------------------------------------------------------------- C2DTriangle::GetFermatPoint To locate the Fermat point: 1. Construct three regular triangles out of the three sides of the given triangle. 2. For each new vertex of the regular triangle, draw a line from it to the opposite triangle's vertex. These three lines intersect at the Fermat point. 3. For the case that the largest angle of the triangle exceeds 120°, the solution is a point on the vertex of that angle. ---------------------------------------------------------------------------

C2DPoint C2DTriangle::GetFermatPoint (  void   )  const

Returns the Fermat point (also known as the Torricelli point). -------------------------------------------------------------------------- C2DTriangle::GetFermatPoint ---------------------------------------------------------------------------

C2DPoint C2DTriangle::GetInCentre (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Static version of InCentre function. -------------------------------------------------------------------------- C2DTriangle::GetCircumCentre The center of the incircle can be found as the intersection of the three internal angle bisectors. The center of an excircle is the intersection of the internal bisector of one angle and the external bisectors of the other two. --------------------------------------------------------------------------- Set up a line to bisect the lines from 1 to 2 and 1 to 3 Set up a line to bisect the lines from 2 to 1 and 2 to 3

C2DPoint C2DTriangle::GetInCentre (  void   )  const

InCentre function. -------------------------------------------------------------------------- C2DTriangle::InCentre. ---------------------------------------------------------------------------

double C2DTriangle::GetPerimeter (  void   )  const

Returns the perimeter. -------------------------------------------------------------------------- C2DTriangle::GetPerimeter ---------------------------------------------------------------------------

void C2DTriangle::Grow (  double  dFactor, const C2DPoint &  Origin )  [virtual]

Grows the triangle. -------------------------------------------------------------------------- C2DTriangle::Grow --------------------------------------------------------------------------- Implements C2DBase.

double C2DTriangle::IsClockwise (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )  [static]

Returns whether the triangle is clockwise. -------------------------------------------------------------------------- C2DTriangle::IsClockwise ---------------------------------------------------------------------------

void C2DTriangle::Move (  const C2DVector &  Vector  )  [virtual]

Moves the triangle. -------------------------------------------------------------------------- C2DTriangle::Move --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::Project (  const C2DVector &  Vector, CInterval &  Interval )  const [virtual]

Projects this onto the vector given. -------------------------------------------------------------------------- C2DTriangle::Project --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::Project (  const C2DLine &  Line, CInterval &  Interval )  const [virtual]

Projects this onto the line given. -------------------------------------------------------------------------- C2DTriangle::Project --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::Reflect (  const C2DLine &  Line  )  [virtual]

Reflects the in the line given. -------------------------------------------------------------------------- C2DTriangle::Reflect --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::Reflect (  const C2DPoint &  Point  )  [virtual]

Reflects the triangle. -------------------------------------------------------------------------- C2DTriangle::Reflect --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::RotateToRight (  double  dAng, const C2DPoint &  Origin )  [virtual]

Rotates the triangle. -------------------------------------------------------------------------- C2DTriangle::RotateToRight --------------------------------------------------------------------------- Implements C2DBase.

void C2DTriangle::Set (  const C2DPoint &  pt1, const C2DPoint &  pt2, const C2DPoint &  pt3 )

Assignement. -------------------------------------------------------------------------- C2DTriangle::Set ---------------------------------------------------------------------------

void C2DTriangle::SnapToGrid (  void   )  [virtual]

Snaps to the conceptual grid. -------------------------------------------------------------------------- C2DTriangle::SnapToGrid --------------------------------------------------------------------------- Implements C2DBase.

---

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

• C:/GeoLib 3.0/GeoLib 3.0/GeoLib Source/2DTriangle.h
• C:/GeoLib 3.0/GeoLib 3.0/GeoLib Source/2DTriangle.cpp

---