Struct Rotor3

Implements
System.IEquatable<Rotor3>
Inherited Members
System.ValueType.Equals(System.Object)
System.ValueType.GetHashCode()
System.ValueType.ToString()
Namespace: OpenToolkit.Mathematics
Assembly: AxCommon.dll
Syntax
public struct Rotor3 : IEquatable<Rotor3>

Constructors

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Rotor3(Vector3, Vector3)

Declaration
public Rotor3(Vector3 from, Vector3 to)
Parameters
Type Name Description
OpenToolkit.Mathematics.Vector3 from
OpenToolkit.Mathematics.Vector3 to
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Rotor3(Single, BiVector3d)

Declaration
public Rotor3(float a, in BiVector3d bv)
Parameters
Type Name Description
System.Single a
BiVector3d bv
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Rotor3(Single, Single, Single, Single)

Declaration
public Rotor3(float a, float xy, float xz, float yz)
Parameters
Type Name Description
System.Single a
System.Single xy
System.Single xz
System.Single yz

Fields

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A

Declaration
public float A
Field Value
Type Description
System.Single
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b01

Declaration
public float b01
Field Value
Type Description
System.Single
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b02

Declaration
public float b02
Field Value
Type Description
System.Single
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b12

Declaration
public float b12
Field Value
Type Description
System.Single
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Identity

Declaration
public static readonly Rotor3 Identity
Field Value
Type Description
Rotor3

Properties

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BiVector

Declaration
public BiVector3d BiVector { get; }
Property Value
Type Description
BiVector3d
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Length

Declaration
public float Length { get; }
Property Value
Type Description
System.Single
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LengthSquared

Declaration
public float LengthSquared { get; }
Property Value
Type Description
System.Single

Methods

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Conjugate(Rotor3)

Declaration
public static Rotor3 Conjugate(in Rotor3 r)
Parameters
Type Name Description
Rotor3 r
Returns
Type Description
Rotor3
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Conjugate(Rotor3, out Rotor3)

Declaration
public static void Conjugate(in Rotor3 r, out Rotor3 c)
Parameters
Type Name Description
Rotor3 r
Rotor3 c
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Equals(Rotor3)

Declaration
public bool Equals(Rotor3 other)
Parameters
Type Name Description
Rotor3 other
Returns
Type Description
System.Boolean
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Geo(Vector3, Vector3)

Geometric product. This will create a rotor with double the angle from a to b.

Declaration
public static Rotor3 Geo(in Vector3 a, in Vector3 b)
Parameters
Type Name Description
OpenToolkit.Mathematics.Vector3 a
OpenToolkit.Mathematics.Vector3 b
Returns
Type Description
Rotor3
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Geo(Vector3, Vector3, out Rotor3)

Geometric product. This will create a rotor with double the angle from a to b.

Declaration
public static void Geo(in Vector3 a, in Vector3 b, out Rotor3 res)
Parameters
Type Name Description
OpenToolkit.Mathematics.Vector3 a
OpenToolkit.Mathematics.Vector3 b
Rotor3 res
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Multiply(Rotor3, Rotor3)

Declaration
public static Rotor3 Multiply(in Rotor3 a, in Rotor3 b)
Parameters
Type Name Description
Rotor3 a
Rotor3 b
Returns
Type Description
Rotor3
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Multiply(Rotor3, Rotor3, out Rotor3)

Declaration
public static void Multiply(in Rotor3 a, in Rotor3 b, out Rotor3 res)
Parameters
Type Name Description
Rotor3 a
Rotor3 b
Rotor3 res
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Normalize(Rotor3)

Declaration
public static Rotor3 Normalize(in Rotor3 rot)
Parameters
Type Name Description
Rotor3 rot
Returns
Type Description
Rotor3
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Normalize(Rotor3, out Rotor3)

Declaration
public static void Normalize(in Rotor3 rot, out Rotor3 res)
Parameters
Type Name Description
Rotor3 rot
Rotor3 res
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Rotate(Rotor3, Vector3)

Declaration
public static Vector3 Rotate(in Rotor3 r, in Vector3 v)
Parameters
Type Name Description
Rotor3 r
OpenToolkit.Mathematics.Vector3 v
Returns
Type Description
OpenToolkit.Mathematics.Vector3
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Rotate(Rotor3, Vector3, out Vector3)

Declaration
public static void Rotate(in Rotor3 p, in Vector3 x, out Vector3 r)
Parameters
Type Name Description
Rotor3 p
OpenToolkit.Mathematics.Vector3 x
OpenToolkit.Mathematics.Vector3 r
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ToMatrix3(Rotor3)

Declaration
public static Matrix3 ToMatrix3(in Rotor3 rot)
Parameters
Type Name Description
Rotor3 rot
Returns
Type Description
OpenToolkit.Mathematics.Matrix3
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ToMatrix3(Rotor3, out Matrix3)

Declaration
public static void ToMatrix3(in Rotor3 rot, out Matrix3 res)
Parameters
Type Name Description
Rotor3 rot
OpenToolkit.Mathematics.Matrix3 res

Operators

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Equality(Rotor3, Rotor3)

Declaration
public static bool operator ==(in Rotor3 a, in Rotor3 b)
Parameters
Type Name Description
Rotor3 a
Rotor3 b
Returns
Type Description
System.Boolean
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Inequality(Rotor3, Rotor3)

Declaration
public static bool operator !=(in Rotor3 a, in Rotor3 b)
Parameters
Type Name Description
Rotor3 a
Rotor3 b
Returns
Type Description
System.Boolean
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Multiply(Rotor3, Rotor3)

Declaration
public static Rotor3 operator *(in Rotor3 a, in Rotor3 b)
Parameters
Type Name Description
Rotor3 a
Rotor3 b
Returns
Type Description
Rotor3
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Multiply(Rotor3, Vector3)

Declaration
public static Vector3 operator *(in Rotor3 rot, in Vector3 vec)
Parameters
Type Name Description
Rotor3 rot
OpenToolkit.Mathematics.Vector3 vec
Returns
Type Description
OpenToolkit.Mathematics.Vector3

Implements

System.IEquatable<T>