Plane

Plane in hessian form.

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

Properties

float

d

0.0

Vector3

normal

Vector3(0,0,0)

float

x

0.0

float

y

0.0

float

z

0.0

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=1e-05)

Vector3

intersect_3(Plane b,Plane c)

Vector3

intersects_ray(Vector3 from,Vector3 dir)

Vector3

intersects_segment(Vector3 begin,Vector3 end)

bool

is_equal_approx(Plane plane)

bool

is_point_over(Vector3 point)

Plane

normalized()

Vector3

project(Vector3 point)

Constants

  • PLANE_YZ =Plane( 1, 0, 0, 0 ) --- A plane that extends in the Y and Z axes (normal vector points +X).

  • PLANE_XZ =Plane( 0, 1, 0, 0 ) --- A plane that extends in the X and Z axes (normal vector points +Y).

  • PLANE_XY =Plane( 0, 0, 1, 0 ) --- A plane that extends in the X and Y axes (normal vector points +Z).

Property Descriptions

Default

0.0

The distance from the origin to the plane, in the direction ofnormal. This value is typically non-negative.

In the scalar equation of the planeax+by+cz=d, this isd, while the(a,b,c) coordinates are represented by thenormal property.


Default

Vector3(0,0,0)

The normal of the plane, which must be normalized.

In the scalar equation of the planeax+by+cz=d, this is the vector(a,b,c), whered is thed property.


Default

0.0

The X component of the plane'snormal vector.


Default

0.0

The Y component of the plane'snormal vector.


Default

0.0

The Z component of the plane'snormal vector.

Method Descriptions

Creates a plane from the four parameters. The three components of the resulting plane'snormal area,b andc, and the plane has a distance ofd from the origin.


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


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


Returns the center of the plane.


Returns the shortest distance from the plane to the positionpoint.


Returns the center of the plane.

This method is deprecated, please usecenter instead.


Returnstrue ifpoint is inside the plane. Comparison uses a custom minimumepsilon threshold.


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


Returns the intersection point of a ray consisting of the positionfrom and the direction normaldir with this plane. If no intersection is found,null is returned.


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


Returnstrue if this plane andplane are approximately equal, by running@GDScript.is_equal_approx on each component.


Returnstrue ifpoint is located above the plane.


Returns a copy of the plane, normalized.


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