Line3 Class Reference

A Line3 is a line in space, with the following equations: More...

Public Member Functions
	Line3 ()
	Line3 (const Coord3 &, const Vector3 &)
	Line3 (double x0, double y0, double z0, double alpha, double beta, double gamma)
double	closestPoint (const Coord3 &point) const
void	closestPoint (const Line3 &line, double &t_this, double &t_line) const
Vector3	direction (bool normalize=true) const
double	distanceToPoint (const Coord3 &point) const
Coord3	getPoint (double t) const
bool	intersectWith (const Plane3 &, double &t) const
double	sqDistanceToPoint (const Coord3 &point) const

Public Attributes
double	alpha_
double	beta_
double	gamma_
double	x0_
double	y0_
double	z0_

Detailed Description

A Line3 is a line in space, with the following equations:

x = x0 + alpha*t y = y0 + beta*t z = z0 + gamma*t

<>

Constructor & Destructor Documentation

Line3() [1/3]

Line3::Line3

(

)

Line3() [2/3]

Line3::Line3	(	double	x0,
		double	y0,
		double	z0,
		double	alpha,
		double	beta,
		double	gamma
	)

Line3() [3/3]

Line3::Line3	(	const Coord3 &	,
		const Vector3 &
	)

Member Function Documentation

closestPoint() [1/2]

double Line3::closestPoint

(

const Coord3 &

point

)

const

Returns

the point on the line that is closest to the given point

closestPoint() [2/2]

void Line3::closestPoint	(	const Line3 &	line,
		double &	t_this,
		double &	t_line
	)		const

Returns

the t for the point point on the line that is closest to the given line

direction()

Vector3 Line3::direction ( bool  normalize = true ) const

inline

distanceToPoint()

double Line3::distanceToPoint

(

const Coord3 &

point

)

const

getPoint()

Coord3 Line3::getPoint

(

double

t

)

const

intersectWith()

bool Line3::intersectWith	(	const Plane3 &	,
		double &	t
	)		const

Calculates the intersection between the line and the plane. If success, it sets t.

sqDistanceToPoint()

double Line3::sqDistanceToPoint

(

const Coord3 &

point

)

const

Member Data Documentation

alpha_

double Line3::alpha_

beta_

double Line3::beta_

gamma_

double Line3::gamma_

x0_

double Line3::x0_

y0_

double Line3::y0_

z0_

double Line3::z0_