DGtal::ClosedIntegerHalfPlane< TSpace > Struct Template Reference

Aim: A half-space specified by a vector N and a constant c. The half-space is the set \( \{ P \in Z^2, N.P \le c \} \). More...

#include <DGtal/arithmetic/ClosedIntegerHalfPlane.h>

Public Types
typedef ClosedIntegerHalfPlane< TSpace >	Self
typedef TSpace	Space
typedef Space::Integer	Integer
typedef Space::Point	Point
typedef Space::Vector	Vector

Public Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))
	~ClosedIntegerHalfPlane ()
	ClosedIntegerHalfPlane ()=default
	ClosedIntegerHalfPlane (const Vector &aN, const Integer &aC)
	ClosedIntegerHalfPlane (const Point &A, const Point &B, const Point &inP, IntegerComputer< Integer > &ic)
bool	operator() (const Point &p) const
bool	isOnBoundary (const Point &p) const
Vector	tangent () const
void	negate ()
void	selfDisplay (std::ostream &out) const
bool	isValid () const

Data Fields
Vector	N
	The normal to the half-space. More...
Integer	c
	The uppermost value N.(x,y) that is in the half-space. More...

Detailed Description

template<typename TSpace>
struct DGtal::ClosedIntegerHalfPlane< TSpace >

Aim: A half-space specified by a vector N and a constant c. The half-space is the set \( \{ P \in Z^2, N.P \le c \} \).

Description of template class 'ClosedIntegerHalfPlane'

A model of boost::DefaultConstructible, boost::CopyConstructible, boost::Assignable, concepts::CPointPredicate.

Examples

arithmetic/lower-integer-convex-hull.cpp.

Definition at line 63 of file ClosedIntegerHalfPlane.h.

Member Typedef Documentation

Integer

template<typename TSpace >

typedef Space::Integer DGtal::ClosedIntegerHalfPlane< TSpace >::Integer

Definition at line 69 of file ClosedIntegerHalfPlane.h.

Point

template<typename TSpace >

typedef Space::Point DGtal::ClosedIntegerHalfPlane< TSpace >::Point

Definition at line 70 of file ClosedIntegerHalfPlane.h.

Self

template<typename TSpace >

typedef ClosedIntegerHalfPlane<TSpace> DGtal::ClosedIntegerHalfPlane< TSpace >::Self

Definition at line 65 of file ClosedIntegerHalfPlane.h.

Space

template<typename TSpace >

typedef TSpace DGtal::ClosedIntegerHalfPlane< TSpace >::Space

Definition at line 68 of file ClosedIntegerHalfPlane.h.

Vector

template<typename TSpace >

typedef Space::Vector DGtal::ClosedIntegerHalfPlane< TSpace >::Vector

Definition at line 71 of file ClosedIntegerHalfPlane.h.

Constructor & Destructor Documentation

~ClosedIntegerHalfPlane()

template<typename TSpace >

DGtal::ClosedIntegerHalfPlane< TSpace >::~ClosedIntegerHalfPlane

(

)

Destructor.

ClosedIntegerHalfPlane() [1/3]

template<typename TSpace >

DGtal::ClosedIntegerHalfPlane< TSpace >::ClosedIntegerHalfPlane ( )

default

Default constructor.

ClosedIntegerHalfPlane() [2/3]

template<typename TSpace >

DGtal::ClosedIntegerHalfPlane< TSpace >::ClosedIntegerHalfPlane	(	const Vector &	aN,
		const Integer &	aC
	)

Constructor from normal and constant.

Parameters

aN	a vector that defines the normal direction to the half-plane.
aC	the constant that defines the bound.

ClosedIntegerHalfPlane() [3/3]

template<typename TSpace >

DGtal::ClosedIntegerHalfPlane< TSpace >::ClosedIntegerHalfPlane	(	const Point &	A,
		const Point &	B,
		const Point &	inP,
		IntegerComputer< Integer > &	ic
	)

Constructor. Computes the half-space of the form N.P<=c whose supporting line passes through A and B such that the point inP satisfies the constraint.

Parameters

A	any point.
B	any point different from A.
inP	any point not on the straight line (AB).
ic	any compatible integer computer.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename TSpace >

DGtal::ClosedIntegerHalfPlane< TSpace >::BOOST_CONCEPT_ASSERT

(

(concepts::CSpace< TSpace >)

)

isOnBoundary()

template<typename TSpace >

bool DGtal::ClosedIntegerHalfPlane< TSpace >::isOnBoundary

(

const Point &

p

)

const

Parameters

p	any point in the plane.

Returns

'true' if p is on the boundary of the half-space (i.e. N.p == c ).

isValid()

template<typename TSpace >

bool DGtal::ClosedIntegerHalfPlane< TSpace >::isValid

(

)

const

Checks the validity/consistency of the object.

Returns

'true' if the object is valid, 'false' otherwise.

negate()

template<typename TSpace >

void DGtal::ClosedIntegerHalfPlane< TSpace >::negate

(

)

Negates the half-space. Only the boundary is common.

operator()()

template<typename TSpace >

bool DGtal::ClosedIntegerHalfPlane< TSpace >::operator()

(

const Point &

p

)

const

Parameters

p	any point in the plane.

Returns

'true' if p is inside the half-space (i.e. N.p <= c ).

selfDisplay()

template<typename TSpace >

void DGtal::ClosedIntegerHalfPlane< TSpace >::selfDisplay

(

std::ostream &

out

)

const

Writes/Displays the object on an output stream.

Parameters

out	the output stream where the object is written.

tangent()

template<typename TSpace >

Vector DGtal::ClosedIntegerHalfPlane< TSpace >::tangent

(

)

const

Returns

the tangent vector to the half-plane boundary (ie. ( -N.y, N.x ) ).

Field Documentation

c

template<typename TSpace >

Integer DGtal::ClosedIntegerHalfPlane< TSpace >::c

The uppermost value N.(x,y) that is in the half-space.

Definition at line 77 of file ClosedIntegerHalfPlane.h.

N

template<typename TSpace >

Vector DGtal::ClosedIntegerHalfPlane< TSpace >::N

The normal to the half-space.

Definition at line 76 of file ClosedIntegerHalfPlane.h.

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The documentation for this struct was generated from the following file:

• ClosedIntegerHalfPlane.h