Struct BiVector3d

A three dimentional bivector i.e. a plane at origin. Could also be though of as the normal to a plane.

Implements

System.IEquatable<BiVector3d>

Inherited Members

System.ValueType.Equals(System.Object)

System.ValueType.GetHashCode()

System.ValueType.ToString()

Namespace: OpenToolkit.Mathematics

Assembly: AxCommon.dll

Syntax

public struct BiVector3d : IEquatable<BiVector3d>

Constructors

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BiVector3d(Vector3)

Declaration

public BiVector3d(Vector3 v)

Parameters

Type	Name	Description
OpenToolkit.Mathematics.Vector3	v

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BiVector3d(Single, Single, Single)

Declaration

public BiVector3d(float b01, float b02, float b12)

Parameters

Type	Name	Description
System.Single	b01
System.Single	b02
System.Single	b12

Fields

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b01

The not-Z basis.

Declaration

public float b01

Field Value

Type	Description
System.Single

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b02

The not-Y basis.

Declaration

public float b02

Field Value

Type	Description
System.Single

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b12

The not-X basis.

Declaration

public float b12

Field Value

Type	Description
System.Single

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UnitXY

Declaration

public static readonly BiVector3d UnitXY

Field Value

Type	Description
BiVector3d

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UnitXZ

Declaration

public static readonly BiVector3d UnitXZ

Field Value

Type	Description
BiVector3d

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UnitYZ

Declaration

public static readonly BiVector3d UnitYZ

Field Value

Type	Description
BiVector3d

Properties

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Magnitude

Gets the magnitude (length) of this bivector.

Declaration

public float Magnitude { get; }

Property Value

Type	Description
System.Single

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MagnitudeSquared

Gets the square magnitude (length) of this bivector.

Declaration

public float MagnitudeSquared { get; }

Property Value

Type	Description
System.Single

Methods

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AntiWedge(Vector3, BiVector3d)

Functionally the same as dot product in more 'conventional' algebra.

Declaration

public static float AntiWedge(in Vector3 v, in BiVector3d bv)

Parameters

Type	Name	Description
OpenToolkit.Mathematics.Vector3	v
BiVector3d	bv

Returns

Type	Description
System.Single

Remarks

Returns a scalar which is a one component vector (i.e a float) that retains sign on reflection.

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Equals(BiVector3d)

Declaration

public bool Equals(BiVector3d other)

Parameters

Type	Name	Description
BiVector3d	other

Returns

Type	Description
System.Boolean

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Normalize()

Declaration

public void Normalize()

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Normalize(ref BiVector3d)

Declaration

public static void Normalize(ref BiVector3d bv)

Parameters

Type	Name	Description
BiVector3d	bv

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Normalize(BiVector3d, out BiVector3d)

Declaration

public static void Normalize(in BiVector3d bv, out BiVector3d result)

Parameters

Type	Name	Description
BiVector3d	bv
BiVector3d	result

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Normalized()

Declaration

public BiVector3d Normalized()

Returns

Type	Description
BiVector3d

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Wedge(BiVector3d, Vector3)

Functionally the same as dot product in more 'conventional' algebra.

Declaration

public static float Wedge(BiVector3d bv, Vector3 v)

Parameters

Type	Name	Description
BiVector3d	bv
OpenToolkit.Mathematics.Vector3	v

Returns

Type	Description
System.Single

Remarks

Returns a AntiScalar3D which is a one component vector (i.e a float) that flips sign when reflected.

Operators

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Equality(BiVector3d, BiVector3d)

Declaration

public static bool operator ==(in BiVector3d a, in BiVector3d b)

Parameters

Type	Name	Description
BiVector3d	a
BiVector3d	b

Returns

Type	Description
System.Boolean

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Explicit(Vector3 to BiVector3d)

Declaration

[Pure]
public static explicit operator BiVector3d(in Vector3 v)

Parameters

Type	Name	Description
OpenToolkit.Mathematics.Vector3	v

Returns

Type	Description
BiVector3d

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Inequality(BiVector3d, BiVector3d)

Declaration

public static bool operator !=(in BiVector3d a, in BiVector3d b)

Parameters

Type	Name	Description
BiVector3d	a
BiVector3d	b

Returns

Type	Description
System.Boolean

Implements

System.IEquatable<T>