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

  • 数学

    Properties

    Methods

    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

  • float d normal. This value is typically non-negative. ax + by + cz = d, this is d, while the (a, b, c) coordinates are represented by the normal property.
  • Vector3 normal The normal of the plane, which must be normalized. ax + by + cz = d, this is the vector (a, b, c), where d is the d property.
  • float x normal vector.
  • float y normal vector.
  • float z normal vector.

    Method Descriptions

  • Plane Plane ( float a, float b, float c, float d ) normal are a, b and c, and the plane has a distance of d from the origin.
  • Plane Plane ( Vector3 v1, Vector3 v2, Vector3 v3 ) Creates a plane from the three points, given in clockwise order.
  • 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 ) point.
  • Vector3 get_any_point ( ) Returns the center of the plane. center instead.
  • bool has_point ( Vector3 point, float epsilon=1e-05 ) true if point is inside the plane. Comparison uses a custom minimum epsilon threshold.
  • Vector3 intersect_3 ( Plane b, Plane c ) b, c and this plane. If no intersection is found, null is returned.
  • Vector3 intersects_ray ( Vector3 from, Vector3 dir ) from and the direction normal dir with this plane. If no intersection is found, null is returned.
  • Vector3 intersects_segment ( Vector3 begin, Vector3 end ) begin to position end with this plane. If no intersection is found, null is returned.
  • bool is_equal_approx ( Plane plane ) true if this plane and plane are approximately equal, by running @GDScript.is_equal_approx on each component.
  • bool is_point_over ( Vector3 point ) true if point is located above the plane.
  • Plane normalized ( ) Returns a copy of the plane, normalized.
  • Vector3 project ( Vector3 point ) point into a point in the plane.