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Class

CGAL::Direction_3<Kernel>

Definition

An object of the class Direction_3<Kernel> is a vector in the three-dimensional vector space ℝ3 where we forget about their length. They can be viewed as unit vectors, although there is no normalization internally, since this is error prone. Directions are used whenever the length of a vector does not matter. They also characterize a set of parallel lines that have the same orientation or the direction normal to parallel planes that have the same orientation. For example, you can ask for the direction orthogonal to an oriented plane, or the direction of an oriented line.

Creation

Direction_3<Kernel> d ( Vector_3<Kernel> v);
introduces a direction d initialized with the direction of vector v.


Direction_3<Kernel> d ( Line_3<Kernel> l);
introduces the direction d of line l.


Direction_3<Kernel> d ( Ray_3<Kernel> r);
introduces the direction d of ray r.


Direction_3<Kernel> d ( Segment_3<Kernel> s);
introduces the direction d of segment s.


Direction_3<Kernel> d ( Kernel::RT x, Kernel::RT y, Kernel::RT z);
introduces a direction d initialized with the direction from the origin to the point with Cartesian coordinates (x, y, z).

Operations

Kernel::RT d.delta ( int i) const returns values, such that d== Direction_3<Kernel>(delta(0),delta(1),delta(2)).
Precondition: : 0 ≤ i ≤ 2.

Kernel::RT d.dx () const returns delta(0).
Kernel::RT d.dy () const returns delta(1).
Kernel::RT d.dz () const returns delta(2).

bool d.operator== ( e) const Test for equality.
bool d.operator!= ( e) const Test for inequality.

Direction_3<Kernel> d.operator- () const The direction opposite to d.

Vector_3<Kernel> d.vector () const returns a vector that has the same direction as d.

Direction_3<Kernel> d.transform ( Aff_transformation_3<Kernel> t) const
returns the direction obtained by applying t on d.

See Also

Kernel::Direction_3

Next: Iso_cuboid_3<Kernel>
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CGAL Open Source Project. Release 4.1. 23 October 2012.