rcsc::Triangle2D Class Reference

2D triangle class More...

#include <triangle_2d.h>

Inheritance diagram for rcsc::Triangle2D:

Public Member Functions
	Triangle2D (const Vector2D &v1, const Vector2D &v2, const Vector2D &v3)
	constructor with variables
	Triangle2D (const Segment2D &seg, const Vector2D &v)
	constructor with a segment and a point
const Triangle2D &	assign (const Vector2D &v1, const Vector2D &v2, const Vector2D &v3)
	assign new vertex points
bool	isValid () const
	check if this triangle is valid or not.
const Triangle2D &	assign (const Segment2D &seg, const Vector2D &v)
	assign new segment and vertex point
const Vector2D &	a () const
	get 1st point
const Vector2D &	b () const
	get 2nd point
const Vector2D &	c () const
	get 3rd point
virtual double	area () const
	get the area of this region
double	signedArea () const
	get a signed area. this method is equivalent to signed_area().
double	doubleSignedArea () const
	get a double of signed area value. this method is equivalent to double_signed_area().
bool	ccw () const
	check if this triangle's vertices are placed counterclockwise order.
virtual bool	contains (const Vector2D &point) const
	check if this triangle contains 'point'.
Vector2D	centroid () const
	get the center of gravity(centroid, JUU-SIN)
Vector2D	incenter () const
	get the center of inscribed circle(NAI-SIN)
Vector2D	circumcenter () const
	get the center of circumscribed circle(GAI-SIN)
Vector2D	orthocenter () const
	get the orthocenter(SUI-SIN)
int	intersection (const Line2D &line, Vector2D *sol1, Vector2D *sol2) const
	calculate intersection point with line.
int	intersection (const Ray2D &ray, Vector2D *sol1, Vector2D *sol2) const
	calculate intersection point with ray.
int	intersection (const Segment2D &segment, Vector2D *sol1, Vector2D *sol2) const
	calculate intersection point with line segment.
Public Member Functions inherited from rcsc::Region2D
virtual	~Region2D ()
	virtual destructor.

Static Public Member Functions
static double	double_signed_area (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get a double signed area value (== area of parallelogram)
static double	signed_area (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get a signed area value
static bool	ccw (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	check if input vertices are placed counterclockwise order.
static Vector2D	centroid (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get the center of gravity(JUU-SIN)
static Vector2D	incenter (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get the incenter point(NAI-SIN)
static Vector2D	circumcenter (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get the circumcenter point(GAI-SIN)
static Vector2D	orthocenter (const Vector2D &a, const Vector2D &b, const Vector2D &c)
	get the orthomcenter point(SUI-SIN)
static bool	contains (const Vector2D &a, const Vector2D &b, const Vector2D &c, const Vector2D &point)
	check if triangle(a,b,c) contains the point 'p'.

Additional Inherited Members
Protected Member Functions inherited from rcsc::Region2D
	Region2D ()
	accessible only from derived classes

Detailed Description

2D triangle class

Constructor & Destructor Documentation

Triangle2D() [1/2]

rcsc::Triangle2D::Triangle2D ( const Vector2D & v1, const Vector2D & v2, const Vector2D & v3 )

inline

constructor with variables

Parameters

v1	first vertex point
v2	second vertex point
v3	third vertex point

Triangle2D() [2/2]

rcsc::Triangle2D::Triangle2D ( const Segment2D & seg, const Vector2D & v )

inline

constructor with a segment and a point

Parameters

seg	segment consist of triangle, first and second vertex points
v	third vertex point

Member Function Documentation

a()

const Vector2D & rcsc::Triangle2D::a ( ) const

inline

get 1st point

Returns

const reference to the member variable

area()

virtual double rcsc::Triangle2D::area ( ) const

inlinevirtual

get the area of this region

Returns

value of the area

Implements rcsc::Region2D.

assign() [1/2]

const Triangle2D & rcsc::Triangle2D::assign ( const Segment2D & seg, const Vector2D & v )

inline

assign new segment and vertex point

Parameters

seg	segment consist of triangle, first and second vertex points
v	third vertex point

Returns

const reference to itself

assign() [2/2]

const Triangle2D & rcsc::Triangle2D::assign ( const Vector2D & v1, const Vector2D & v2, const Vector2D & v3 )

inline

assign new vertex points

Parameters

v1	first vertex point
v2	second vertex point
v3	third vertex point

Returns

const reference to itself

b()

const Vector2D & rcsc::Triangle2D::b ( ) const

inline

get 2nd point

Returns

const reference to the member variable

c()

const Vector2D & rcsc::Triangle2D::c ( ) const

inline

get 3rd point

Returns

const reference to the member variable

ccw() [1/2]

bool rcsc::Triangle2D::ccw ( ) const

inline

check if this triangle's vertices are placed counterclockwise order.

Returns

checked result

ccw() [2/2]

bool rcsc::Triangle2D::ccw ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

inlinestatic

check if input vertices are placed counterclockwise order.

Parameters

a	1st input point
b	2nd input point
c	3rd input point

Returns

checked result

centroid() [1/2]

Vector2D rcsc::Triangle2D::centroid ( ) const

inline

get the center of gravity(centroid, JUU-SIN)

Returns

coordinates of gravity center

centroid() [2/2]

Vector2D rcsc::Triangle2D::centroid ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

inlinestatic

get the center of gravity(JUU-SIN)

Parameters

a	triangle's 1st vertex
b	triangle's 2nd vertex
c	triangle's 3rd vertex

Returns

coordinates of gravity center

centroid = (a + b + c) / 3

circumcenter() [1/2]

Vector2D rcsc::Triangle2D::circumcenter ( ) const

inline

get the center of circumscribed circle(GAI-SIN)

Returns

coordinates of outer center

circumcenter() [2/2]

Vector2D rcsc::Triangle2D::circumcenter ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

static

get the circumcenter point(GAI-SIN)

Parameters

a	triangle's 1st vertex
b	triangle's 2nd vertex
c	triangle's 3rd vertex

Returns

coordinates of circumcenter

contains() [1/2]

bool rcsc::Triangle2D::contains ( const Vector2D & a, const Vector2D & b, const Vector2D & c, const Vector2D & point )

static

check if triangle(a,b,c) contains the point 'p'.

Parameters

a	vertex1
b	vertex2
c	vertex3
point	checked point

Returns

checked result

contains() [2/2]

bool rcsc::Triangle2D::contains ( const Vector2D & point ) const

virtual

check if this triangle contains 'point'.

Parameters

point

considerd point

Returns

true or false

Implements rcsc::Region2D.

double_signed_area()

double rcsc::Triangle2D::double_signed_area ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

inlinestatic

get a double signed area value (== area of parallelogram)

Parameters

a	1st input point
b	2nd input point
c	3rd input point

Returns

double sined area value. If points a, b, c are placed counterclockwise order, returns positive number. If points a, b, c are placed clockwise order, returns negative number. If points a, b, c are placed on a line, returns 0.

doubleSignedArea()

double rcsc::Triangle2D::doubleSignedArea ( ) const

inline

get a double of signed area value. this method is equivalent to double_signed_area().

Returns

double of signed area value If points a, b, c are placed counterclockwise order, returns positive number. If points a, b, c are placed clockwise order, returns negative number. If points a, b, c are placed on a line, returns 0.

incenter() [1/2]

Vector2D rcsc::Triangle2D::incenter ( ) const

inline

get the center of inscribed circle(NAI-SIN)

Returns

coordinates of inner center

incenter() [2/2]

Vector2D rcsc::Triangle2D::incenter ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

static

get the incenter point(NAI-SIN)

Parameters

a	triangle's 1st vertex
b	triangle's 2nd vertex
c	triangle's 3rd vertex

Returns

coordinates of incenter

intersection() [1/3]

int rcsc::Triangle2D::intersection	(	const Line2D &	line,
		Vector2D *	sol1,
		Vector2D *	sol2 ) const

calculate intersection point with line.

Parameters

line	considerd line.
sol1	pointer to the 1st solution variable
sol2	pointer to the 2nd solution variable

Returns

number of intersection

intersection() [2/3]

int rcsc::Triangle2D::intersection	(	const Ray2D &	ray,
		Vector2D *	sol1,
		Vector2D *	sol2 ) const

calculate intersection point with ray.

Parameters

ray	considerd ray line.
sol1	pointer to the 1st solution variable
sol2	pointer to the 2nd solution variable

Returns

number of intersection

intersection() [3/3]

int rcsc::Triangle2D::intersection	(	const Segment2D &	segment,
		Vector2D *	sol1,
		Vector2D *	sol2 ) const

calculate intersection point with line segment.

Parameters

segment	considerd line segment.
sol1	pointer to the 1st solution variable
sol2	pointer to the 2nd solution variable

Returns

number of intersection

isValid()

bool rcsc::Triangle2D::isValid ( ) const

inline

check if this triangle is valid or not.

Returns

true if triangle is valid.

orthocenter() [1/2]

Vector2D rcsc::Triangle2D::orthocenter ( ) const

inline

get the orthocenter(SUI-SIN)

Returns

coordinates of ortho center

orthocenter() [2/2]

Vector2D rcsc::Triangle2D::orthocenter ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

static

get the orthomcenter point(SUI-SIN)

Parameters

a	triangle's 1st vertex
b	triangle's 2nd vertex
c	triangle's 3rd vertex

Returns

coordinates of orthocenter

orthocenter = a + b + c - 2 * circumcenter

signed_area()

double rcsc::Triangle2D::signed_area ( const Vector2D & a, const Vector2D & b, const Vector2D & c )

inlinestatic

get a signed area value

Parameters

a	1st input point
b	2nd input point
c	3rd input point

Returns

signed area value If points a, b, c are placed counterclockwise order, returns positive number. If points a, b, c are placed clockwise order, returns negative number. If points a, b, c are placed on a line, returns 0.

signedArea()

double rcsc::Triangle2D::signedArea ( ) const

inline

get a signed area. this method is equivalent to signed_area().

Returns

signed area value If points a, b, c are placed counterclockwise order, returns positive number. If points a, b, c are placed clockwise order, returns negative number. If points a, b, c are placed on a line, returns 0.

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

• ui/geom/triangle_2d.h
• ui/geom/triangle_2d.cpp