Bivector3D::Set

Defined in: TSBivector3D.h

Sets all three components of a bivector.

Prototype

Bivector3D& Set(float a, float b, float c);

Bivector3D& Set(const Point2D& p, const Point2D& q);

Bivector3D& Set(const Point2D& p, const Vector2D& v);

Parameters

`a`	The value of the e₂₃ coordinate.
`b`	The value of the e₃₁ coordinate.
`c`	The value of the e₁₂ coordinate.
`p,q`	Two 2D points that lie on the line.
`v`	A 2D direction vector.

Description

The Set function replaces all three components of a bivector with new values.

If points p and q are specified, then the bivector is initialized to the wedge product between homogeneous extensions of p and q with z coordinates set to 1, giving a representation of the 2D line containing both points. If the point p and the direction v are specified, then the line contains the point p and runs parallel to the direction v.

The return value is a reference to the bivector object.