class-description NEWS COMMUNITY STORE TUTORIALS SIGN UP LOGIN LOGOUT ROKOJORI NEWSLETTER SIGN UP LOGIN LOGOUT NEWS COMMUNITY STORE TUTORIALS TOGGLE FULLSCREEN VOLLBILD AN/AUS Plane
A plane in Hessian normal form.

Represents a normalized plane equation. 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.

 Plane Plane<>():Plane

Constructs a default-initialized Plane with all components set to 0.

 Plane Plane<>( Plane from=, from:Plane=, ):Plane

Constructs a Plane as a copy of the given Plane.

 Plane Plane<>( float a=, a:float=, float b=, b:float=, float c=, c:float=, float d=, d:float=, ):Plane

Creates a plane from the four parameters. The three components of the resulting plane's normal are a, b and c, and the plane has a distance of d from the origin.

 Plane Plane<>( Vector3 normal=, normal:Vector3=, ):Plane

Creates a plane from the normal vector. The plane will intersect the origin.

The normal of the plane must be a unit vector.

 Plane Plane<>( Vector3 normal=, normal:Vector3=, float d=, d:float=, ):Plane

Creates a plane from the normal vector and the plane's distance from the origin.

The normal of the plane must be a unit vector.

 Plane Plane<>( Vector3 normal=, normal:Vector3=, Vector3 point=, point:Vector3=, ):Plane

Creates a plane from the normal vector and a point on the plane.

The normal of the plane must be a unit vector.

 Plane Plane<>( Vector3 point1=, point1:Vector3=, Vector3 point2=, point2:Vector3=, Vector3 point3=, point3:Vector3=, ):Plane

Creates a plane from the three points, given in clockwise order.

 bool operator !=<>( Plane right=, right:Plane=, ):bool

Returns true if the planes are not equal.

Note: Due to floating-point precision errors, consider using is_equal_approx instead, which is more reliable.

 Plane operator *<>( Transform3D right=, right:Transform3D=, ):Plane

Inversely transforms (multiplies) the Plane by the given Transform3D transformation matrix.

plane * transform is equivalent to transform.affine_inverse() * plane. See Transform3D.affine_inverse.

 bool operator ==<>( Plane right=, right:Plane=, ):bool

Returns true if the planes are exactly equal.

Note: Due to floating-point precision errors, consider using is_equal_approx instead, which is more reliable.

 Plane operator unary+<>():Plane

Returns the same value as if the + was not there. Unary + does nothing, but sometimes it can make your code more readable.

 Plane operator unary-<>():Plane

Returns the negative value of the Plane. This is the same as writing Plane(-p.normal, -p.d). This operation flips the direction of the normal vector and also flips the distance value, resulting in a Plane that is in the same place, but facing the opposite direction.

 float d<>():float

The distance from the origin to the plane, expressed in terms of normal (according to its direction and magnitude). Actual absolute distance from the origin to the plane can be calculated as abs(d) / normal.length() (if normal has zero length then this Plane does not represent a valid plane).

In the scalar equation of the plane ax + by + cz = d, this is d, while the (a, b, c) coordinates are represented by the normal property.

 Vector3 normal<>():Vector3

The normal of the plane, typically a unit vector. Shouldn't be a zero vector as Plane with such normal does not represent a valid plane.

In the scalar equation of the plane ax + by + cz = d, this is the vector (a, b, c), where d is the d property.

 float x<>():float

The X component of the plane's normal vector.

 float y<>():float

The Y component of the plane's normal vector.

 float z<>():float

The Z component of the plane's normal vector.

 float distance_to<>( Vector3 point=, point:Vector3=, ):float

Returns the shortest distance from the plane to the position point. If the point is above the plane, the distance will be positive. If below, the distance will be negative.

 Vector3 get_center<>():Vector3

Returns the center of the plane.

 bool has_point<>( Vector3 point=, point:Vector3=, float tolerance=1e-05, tolerance:float=1e-05, ):bool

Returns true if point is inside the plane. Comparison uses a custom minimum tolerance threshold.

 Variant intersect_3<>( Plane b=, b:Plane=, Plane c=, c:Plane=, ):Variant

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

 Variant intersects_ray<>( Vector3 from=, from:Vector3=, Vector3 dir=, dir:Vector3=, ):Variant

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.

 Variant intersects_segment<>( Vector3 from=, from:Vector3=, Vector3 to=, to:Vector3=, ):Variant

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

 bool is_equal_approx<>( Plane to_plane=, to_plane:Plane=, ):bool

Returns true if this plane and to_plane are approximately equal, by running @GlobalScope.is_equal_approx on each component.

 bool is_finite<>():bool

Returns true if this plane is finite, by calling @GlobalScope.is_finite on each component.

 bool is_point_over<>( Vector3 point=, point:Vector3=, ):bool

Returns true if point is located above the plane.

 Plane normalized<>():Plane

Returns a copy of the plane, with normalized normal (so it's a unit vector). Returns Plane(0, 0, 0, 0) if normal can't be normalized (it has zero length).

 Vector3 project<>( Vector3 point=, point:Vector3=, ):Vector3

Returns the orthogonal projection of point into a point in the plane.


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