Plane

Category: Built-In Types

Brief Description

Plane in hessian form.

Properties

float	d
Vector3	normal
float	x
float	y
float	z

Methods

Plane	Plane ( float a, float b, float c, float d )
Plane	Plane ( Vector3 v1, Vector3 v2, Vector3 v3 )
Plane	Plane ( Vector3 normal, float d )
Vector3	center ( )
float	distance_to ( Vector3 point )
Vector3	get_any_point ( )
bool	has_point ( Vector3 point, float epsilon=0.00001 )
Vector3	intersect_3 ( Plane b, Plane c )
Vector3	intersects_ray ( Vector3 from, Vector3 dir )
Vector3	intersects_segment ( Vector3 begin, Vector3 end )
bool	is_point_over ( Vector3 point )
Plane	normalized ( )
Vector3	project ( Vector3 point )

Constants

• PLANE_YZ = Plane( 1, 0, 0, 0 )
• PLANE_XZ = Plane( 0, 1, 0, 0 )
• PLANE_XY = Plane( 0, 0, 1, 0 )

Description

Plane represents a normalized plane equation. Basically, “normal” is the normal of the plane (a,b,c normalized), and “d” is the distance from the origin to the plane (in the direction of “normal”). “Over” or “Above” the plane is considered the side of the plane towards where the normal is pointing.

Tutorials

• Math

Property Descriptions

• float d

• Vector3 normal

• float x

• float y

• float z

Method Descriptions

• Plane Plane ( float a, float b, float c, float d )

Creates a plane from the four parameters “a”, “b”, “c” and “d”.

• Plane Plane ( Vector3 v1, Vector3 v2, Vector3 v3 )

Creates a plane from three points.

• Plane Plane ( Vector3 normal, float d )

Creates a plane from the normal and the plane’s distance to the origin.

• Vector3 center ( )

Returns the center of the plane.

• float distance_to ( Vector3 point )

Returns the shortest distance from the plane to the position “point”.

• Vector3 get_any_point ( )

Returns a point on the plane.

• bool has_point ( Vector3 point, float epsilon=0.00001 )

Returns true if “point” is inside the plane (by a very minimum threshold).

• Vector3 intersect_3 ( Plane b, Plane c )

Returns the intersection point of the three planes “b”, “c” and this plane. If no intersection is found null is returned.

• Vector3 intersects_ray ( Vector3 from, Vector3 dir )

Returns the intersection point of a ray consisting of the position “from” and the direction normal “dir” with this plane. If no intersection is found null is returned.

• Vector3 intersects_segment ( Vector3 begin, Vector3 end )

Returns the intersection point of a segment from position “begin” to position “end” with this plane. If no intersection is found null is returned.

• bool is_point_over ( Vector3 point )

Returns true if “point” is located above the plane.

• Plane normalized ( )

Returns a copy of the plane, normalized.

• Vector3 project ( Vector3 point )

Returns the orthogonal projection of point “p” into a point in the plane.