Struct PlaneD

Represents a plane in the form of Ax + By + Cz = D. The following applies: Ax + Bx + Cz - D = 0. The plane's normal equals n = (A, B, C) and may NOT necessarily be of unit length. The plane divides a space into two half-spaces.The direction plane's normal vector defines the "outer" or negative half-space. Points that lie in the positive half space of the plane do have a negative signed distance to the plane.

Inherited Members

System.ValueType.ToString()

System.Object.Equals(System.Object, System.Object)

System.Object.GetType()

System.Object.ReferenceEquals(System.Object, System.Object)

Namespace: Fusee.Math.Core

Assembly: Fusee.Math.Core.dll

Syntax

public struct PlaneD

Fields

D

The D plane coefficient.

Declaration

public double D

Field Value

Type	Description
System.Double

Properties

A

The A plane coefficient.

Declaration

public double A { get; set; }

Property Value

Type	Description
System.Double

B

The B plane coefficient.

Declaration

public double B { get; set; }

Property Value

Type	Description
System.Double

C

The C plane coefficient.

Declaration

public double C { get; set; }

Property Value

Type	Description
System.Double

Normal

The plane's normal vector. May NOT be of unit length if the plane isn't normalized.

Declaration

public readonly double3 Normal { get; }

Property Value

Type	Description
double3

Methods

AngleBetween(PlaneD)

Calculates the angle between this plane and another one.

Declaration

public double AngleBetween(PlaneD other)

Parameters

Type	Name	Description
PlaneD	other	The other plane to calculate the angle with.

Returns

Type	Description
System.Double

Equals(Object)

Indicates whether this plane is equal to another object.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	The object. This method will throw an exception if the object isn't of type PlaneD.

Returns

Type	Description
System.Boolean

Overrides

System.ValueType.Equals(System.Object)

GetHashCode()

Generates a hash code for this plane.

Declaration

public override int GetHashCode()

Returns

Type	Description
System.Int32

Overrides

System.ValueType.GetHashCode()

InsideOrIntersecting(AABBd)

Test whether a AABBd intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164 CAREFUL: the definition whats completely inside and outside is flipped in comparison to Ericson, because FUSEE defines a point with a negative signed distance to be inside.

Declaration

public bool InsideOrIntersecting(AABBd aabb)

Parameters

Type	Name	Description
AABBd	aabb	The axis aligned bounding box.

Returns

Type	Description
System.Boolean

InsideOrIntersecting(double3, double3)

Test whether a cuboid intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164 CAREFUL: the definition whats completely inside and outside is flipped in comparison to Ericson, because FUSEE defines a point with a negative signed distance to be inside.

Declaration

public bool InsideOrIntersecting(double3 center, double3 size)

Parameters

Type	Name	Description
double3	center	The center of the cuboid.
double3	size	The width, height and length of the cuboid.

Returns

Type	Description
System.Boolean

InsideOrIntersecting(double3, Double)

Test whether a cuboid intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164 CAREFUL: the definition whats completely inside and outside is flipped in comparison to Ericson, because FUSEE defines a point with a negative signed distance to be inside.

Declaration

public bool InsideOrIntersecting(double3 center, double size)

Parameters

Type	Name	Description
double3	center	The center of the cuboid.
System.Double	size	The width, height and length of the cuboid.

Returns

Type	Description
System.Boolean

InsideOrIntersecting(OBBd)

Test whether a OBBd intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164 CAREFUL: the definition whats completely inside and outside is flipped in comparison to Ericson, because FUSEE defines a point with a negative signed distance to be inside.

Declaration

public bool InsideOrIntersecting(OBBd obb)

Parameters

Type	Name	Description
OBBd	obb	The object oriented bounding box.

Returns

Type	Description
System.Boolean

Intersects(AABBd)

Test whether a AABBd intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164

Declaration

public bool Intersects(AABBd aabb)

Parameters

Type	Name	Description
AABBd	aabb	The axis aligned bounding box.

Returns

Type	Description
System.Boolean

Intersects(double3, double3)

Test whether a cuboid intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164

Declaration

public bool Intersects(double3 center, double3 size)

Parameters

Type	Name	Description
double3	center	The center of the cuboid.
double3	size	The width, height and length of the cuboid.

Returns

Type	Description
System.Boolean

Intersects(OBBd)

Test whether a OBBd intersects this plane. See: Ericson 2005, Real Time Collision Detection, p. 161 - 164

Declaration

public bool Intersects(OBBd obb)

Parameters

Type	Name	Description
OBBd	obb	The axis aligned bounding box.

Returns

Type	Description
System.Boolean

Normalize()

Normalizes this plane.

Declaration

public PlaneD Normalize()

Returns

Type	Description
PlaneD

SignedDistanceFromPoint(double3)

Returns the signed distance from a point to this plane. If the plane isn't normalized this may not be the euclidean distance! For normalized and unnormalized planes the following is true: 1.If the distance is negative, the point lies in the negative half-space. 2.If 0 = dist, the point lies in the plane. 3.If the distance is positive the point lies in the positive half-space.

Declaration

public double SignedDistanceFromPoint(double3 pt)

Parameters

Type	Name	Description
double3	pt	An arbitrary point.

Returns

Type	Description
System.Double

Operators

Equality(PlaneD, PlaneD)

Operator override for equality.

Declaration

public static bool operator ==(PlaneD left, PlaneD right)

Parameters

Type	Name	Description
PlaneD	left	The plane.
PlaneD	right	The scalar value.

Returns

Type	Description
System.Boolean

Inequality(PlaneD, PlaneD)

Operator override for inequality.

Declaration

public static bool operator !=(PlaneD left, PlaneD right)

Parameters

Type	Name	Description
PlaneD	left	The plane.
PlaneD	right	The scalar value.

Returns

Type	Description
System.Boolean

Multiply(PlaneD, Double)

Operator override for multiplying a Plane with a double.

Declaration

public static PlaneD operator *(PlaneD plane, double scalar)

Parameters

Type	Name	Description
PlaneD	plane	The plane.
System.Double	scalar	The scalar value.

Returns

Type	Description
PlaneD