GIMLI::Plane Class Reference

A plane. More...

Collaboration diagram for GIMLI::Plane:

Public Member Functions
	Plane ()
	Plane (const RVector3 &norm, double d)
	Plane (const RVector3 &norm, const RVector3 &x0)
	Plane (const RVector3 &p0, const RVector3 &p1, const RVector3 &p2)
	Plane (double a, double b, double c, double d)
	Plane (const Plane &plane)
	~Plane ()
Plane &	operator= (const Plane &plane)
bool	operator== (const Plane &plane)
bool	operator!= (const Plane &plane)
bool	compare (const Plane &p, double tol=TOLERANCE, bool bothDirs=false)
bool	touch (const RVector3 &pos, double tol=TOLERANCE)
Line	intersect (const Plane &plane, double tol=TOLERANCE)
RVector3	intersect (const Line &line, double tol=TOLERANCE, bool inside=false)
const RVector3 &	norm () const
const RVector3	x0 () const
double	distance (const RVector3 &pos) const
double	d () const
bool	checkValidity (double tol=TOLERANCE)
bool	valid () const

Protected Member Functions
void	copy_ (const Plane &plane)

Protected Attributes
RVector3	norm_
double	d_
bool	valid_

Detailed Description

A plane.

A plane, defined through Hessian normal form, norm * x = -p. Stores Normvector norm with |norm| = 1.0 and distance d from orign.

Constructor & Destructor Documentation

Plane() [1/6]

GIMLI::Plane::Plane

(

)

Default constructor, Construct an invalid empty plane.

Plane() [2/6]

GIMLI::Plane::Plane	(	const RVector3 &	norm,
		double	d
	)

Construct a plane based on Hessian normal form norm * x = -p.

References checkValidity().

Plane() [3/6]

GIMLI::Plane::Plane	(	const RVector3 &	norm,
		const RVector3 &	x0
	)

Construct a plane based on his unit nomal vector norm and a base position x0.

References GIMLI::Pos::abs(), checkValidity(), and x0().

Plane() [4/6]

GIMLI::Plane::Plane	(	const RVector3 &	p0,
		const RVector3 &	p1,
		const RVector3 &	p2
	)

Construct a plane based on 3 real positions in R^3, respectivly parameterized style.

References GIMLI::Pos::abs(), checkValidity(), and GIMLI::det().

Plane() [5/6]

GIMLI::Plane::Plane	(	double	a,
		double	b,
		double	c,
		double	d
	)

Construct a plane based on his general equation

References checkValidity(), and d().

Plane() [6/6]

GIMLI::Plane::Plane

(

const Plane &

plane

)

Copyconstructor.

References copy_().

~Plane()

GIMLI::Plane::~Plane

(

)

Default destructor

Member Function Documentation

checkValidity()

bool GIMLI::Plane::checkValidity

(

double

tol = TOLERANCE

)

Check if the plane spans norm vector has a length of 1.0 that means it spans a valid R3 space.

References GIMLI::Pos::abs().

Referenced by Plane().

compare()

bool GIMLI::Plane::compare	(	const Plane &	p,
		double	tol = TOLERANCE,
		bool	bothDirs = false
	)

Compare two planes with a given tolerance. Check if both norms and distances are equal. | norm - p.norm | < tol && | d_ - p.d | < tol. If bothDirection is True | norm - p.norm | can be 2.0 to allow for coplanar check with different orientations.

References d(), GIMLI::Pos::distance(), and norm().

Referenced by GIMLI::Mesh::copyBoundary().

copy_()

void GIMLI::Plane::copy_ ( const Plane &  plane )

protected

internal: copy content of plane into this plane

References d(), norm(), and valid().

Referenced by operator=(), and Plane().

d()

double GIMLI::Plane::d ( ) const

inline

Distance between the orign(0,0,0) and this plane.

Referenced by compare(), copy_(), intersect(), and Plane().

distance()

double GIMLI::Plane::distance ( const RVector3 &  pos ) const

inline

Returns the distance between the Point pos and this plane.

Referenced by touch().

intersect() [1/2]

RVector3 GIMLI::Plane::intersect	(	const Line &	line,
		double	tol = TOLERANCE,
		bool	inside = false
	)

Returns the point of intersection between this plane and the Line line. Return an invalid RVector3 if line and this plane are parallel. Optional inside check. Set inside returns invalid RVector3 if intersection point is not inside (including nodes) the line

Line and Plane are parallel

References GIMLI::Line::p0(), GIMLI::Line::p1(), touch(), GIMLI::Line::valid(), valid(), and x0().

intersect() [2/2]

Line GIMLI::Plane::intersect	(	const Plane &	plane,
		double	tol = TOLERANCE
	)

Returns the Line of intersection between 2 planes. Are booth planes parallel or identically the returned line is invalid.

References GIMLI::Pos::abs(), d(), GIMLI::det(), and norm().

Referenced by GIMLI::TriangleShape::intersectRay().

norm()

const RVector3& GIMLI::Plane::norm ( ) const

inline

Return a const reference to the unit vector of this plane. | norm | = 1.0

Referenced by compare(), copy_(), intersect(), and GIMLI::PolygonShape::norm().

operator!=()

bool GIMLI::Plane::operator!= ( const Plane &  plane )

inline

Not_equal_to operator

operator=()

Plane & GIMLI::Plane::operator=

(

const Plane &

plane

)

Assignment operator

References copy_().

operator==()

bool GIMLI::Plane::operator== ( const Plane &  plane )

inline

Equal_to operator

touch()

bool GIMLI::Plane::touch	(	const RVector3 &	pos,
		double	tol = TOLERANCE
	)

Returns true if the plane is valid and pos touch this plane. Touch when plane.distance(pos) < tol.

References distance().

Referenced by intersect(), and GIMLI::Shape::touch().

valid()

bool GIMLI::Plane::valid ( ) const

inline

Return the validity of this plane. This plane is not valid if its initialized by default constructor.

Referenced by copy_(), and intersect().

x0()

const RVector3 GIMLI::Plane::x0 ( ) const

inline

Returns the orign if the unit vector. x0 = n * d.

Referenced by intersect(), and Plane().