#include <line.h>

Collaboration diagram for GIMLI::Line:

Public Member Functions
	Line ()

	Line (const RVector3 &p0)

	Line (const RVector3 &p0, const RVector3 &p1)

	Line (const Line &line)

	~Line ()

Line &	operator= (const Line &line)

const RVector3	operator() (double t) const

bool	operator== (const Line &line) const

bool	operator!= (const Line &line) const

bool	checkValidity (double tol=TOLERANCE)

bool	valid () const

bool	compare (const Line &line, double tol=TOLERANCE) const

const RVector3 &	p0 () const

const RVector3 &	p1 () const

bool	intersectRay (const RVector3 &start, const RVector3 &dir, RVector3 &pos, double tol=TOLERANCE) const

RVector3	intersect (const RVector3 &start, const RVector3 &dir, double tol=TOLERANCE) const

RVector3	intersect (const Line &line, double tol=TOLERANCE) const

double	nearest (const RVector3 &p) const

RVector3	at (double t) const

double	distance (const RVector3 &pos) const

double	t (const RVector3 &pos, double tol=TOLERANCE) const

bool	touch1 (const RVector3 &pos, int &pFunIdx, double tol=TOLERANCE) const

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

double	length () const

Protected Member Functions
void	copy_ (const Line &line)

Protected Attributes
RVector3	_p0

RVector3	_p1

bool	valid_

Detailed Description

A line.

A straight line segment in the geometrically point of view.

Constructor & Destructor Documentation

◆ Line() [1/4]

GIMLI::Line::Line ( )

Default constructor. Constructs an invalid straight line.

Referenced by compare(), copy_(), intersect(), Line(), operator!=(), operator=(), and operator==().

◆ Line() [2/4]

GIMLI::Line::Line ( const RVector3 & p0 )

Constructor, construct a line between p0 and the orign [0.0, 0.0, 0.0 ].

References checkValidity().

◆ Line() [3/4]

GIMLI::Line::Line	(	const RVector3 &	p0,
		const RVector3 &	p1 )

Constructor construct a line betweem p0, and p1.

References checkValidity(), p0(), and p1().

◆ Line() [4/4]

GIMLI::Line::Line ( const Line & line )

Copycontructor

References copy_(), and Line().

◆ ~Line()

GIMLI::Line::~Line ( )

Default destructor. Destroys the object.

Member Function Documentation

◆ at()

RVector3 GIMLI::Line::at ( double t ) const

inline

Apply the line as function. ret = _p0 + (_p1 - _p0) * t

References t().

Referenced by intersectRay(), and operator()().

◆ checkValidity()

bool GIMLI::Line::checkValidity ( double tol = TOLERANCE )

Check validility of the straight line. False if [ p0-p1] < tol.

Referenced by Line(), and Line().

◆ compare()

bool GIMLI::Line::compare	(	const Line &	line,
		double	tol = TOLERANCE ) const

Compare two lines with a given tolerance. Check if both ref points from line touch this line.. distance(this, line.p1)< tol && distance(this, line.p2)< tol

References Line(), p0(), p1(), and touch().

Referenced by operator==().

◆ copy_()

void GIMLI::Line::copy_ ( const Line & line )

protected

internal: copy content of line into this line

References Line(), p0(), p1(), and valid().

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

◆ distance()

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

Return the distance between this line and pos, https://mathworld.wolfram.com/Point-LineDistance3-Dimensional.html; | x2-x1 cross x1-x0 | / | x2 -x1 |

Referenced by touch(), and touch1().

◆ intersect() [1/2]

RVector3 GIMLI::Line::intersect	(	const Line &	line,
		double	tol = TOLERANCE ) const

Returns the intersection point between line and this line. Returns an invalid RVector3 of both do not touch, are equal or parallel. Return is invalid if they don't intersect.

References Line().

◆ intersect() [2/2]

RVector3 GIMLI::Line::intersect	(	const RVector3 &	start,
		const RVector3 &	dir,
		double	tol = TOLERANCE ) const

Return insection position of this line segment with a the ray given by start and direction dir. Pos is invalid for no intersection.

References intersectRay().

◆ intersectRay()

bool GIMLI::Line::intersectRay	(	const RVector3 &	start,
		const RVector3 &	dir,
		RVector3 &	pos,
		double	tol = TOLERANCE ) const

Return true if this line segment intersect with a the ray given by start and direction dir. Fill pos with the intersection position. Returns also true if the ray is parallel and the distance between Line and ray is smaller than the tolerance but pos is not valid.

References at(), and GIMLI::Pos::length().

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

◆ length()

double GIMLI::Line::length ( ) const

inline

Return the length if the line.

Referenced by touch1().

◆ nearest()

double GIMLI::Line::nearest ( const RVector3 & p ) const

Returns line parameter t that represents the nearest position to the line for the given point p. Feed it to at() and you get the nearest point.

◆ operator!=()

bool GIMLI::Line::operator!= ( const Line & line ) const

inline

Not_equal_to operator

References Line().

◆ operator()()

const RVector3 GIMLI::Line::operator() ( double t ) const

inline

Functor to the line function. ret = _p0 + (_p1 - _p0) * t;

References at(), and t().

◆ operator=()

Line & GIMLI::Line::operator= ( const Line & line )

Assignment operator

References copy_(), and Line().

◆ operator==()

bool GIMLI::Line::operator== ( const Line & line ) const

inline

Equal_to operator

References compare(), and Line().

◆ p0()

const RVector3 & GIMLI::Line::p0 ( ) const

inline

Return const reference to ref. point p0

Referenced by compare(), copy_(), GIMLI::Plane::intersect(), and Line().

◆ p1()

const RVector3 & GIMLI::Line::p1 ( ) const

inline

Return const reference to ref. point p1

Referenced by compare(), copy_(), GIMLI::Plane::intersect(), and Line().

◆ t()

double GIMLI::Line::t	(	const RVector3 &	pos,
		double	tol = TOLERANCE ) const

Return position at line. solves: pos = _p0 + (_p1 - _p0) * ret. ret = (pos - _p0) / (_p1 - _p0) Throws an exception if pos is not on Line.

References t().

Referenced by at(), operator()(), t(), GIMLI::Shape::touch(), and touch1().

◆ touch()

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

Return true if pos touches the line.

References distance().

Referenced by compare(), and GIMLI::EdgeShape::touch().

◆ touch1()

bool GIMLI::Line::touch1	(	const RVector3 &	pos,
		int &	pFunIdx,
		double	tol = TOLERANCE ) const

Return true if pos touches the line. pFunIdx gives an identifier which shows the dependency between this Line and the RVector3 pos. Possible return values are:
-1 – this straight line don't touch the Position pos
1 – this straight line touch the Position pos and pos lies before _p0
2 – this straight line touch the Position pos and pos lies at the same position like pos _p0
3 – this straight line touch the Position pos and pos lies within the definition positions _p0 and _p1
4 – this straight line touch the Position pos and pos lies at the same position like pos _p1
5 – this straight line touch the Position pos and pos lies behind _p1

References distance(), length(), and t().

Referenced by GIMLI::Mesh::createNodeWithCheck(), and GIMLI::PolygonFace::insertNode().

◆ valid()

bool GIMLI::Line::valid ( ) const

inline

Return the validity of this line.

Referenced by copy_(), and GIMLI::Plane::intersect().

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Line() [1/4]

◆ Line() [2/4]

◆ Line() [3/4]

◆ Line() [4/4]

◆ ~Line()

Member Function Documentation

◆ at()

◆ checkValidity()

◆ compare()

◆ copy_()

◆ distance()

◆ intersect() [1/2]

◆ intersect() [2/2]

◆ intersectRay()

◆ length()

◆ nearest()

◆ operator!=()

◆ operator()()

◆ operator=()

◆ operator==()

◆ p0()

◆ p1()

◆ t()

◆ touch()

◆ touch1()

◆ valid()