Class GeometricProductOp

Namespace

AiDotNet.JitCompiler.IR.Operations

Assembly

AiDotNet.dll

Represents the geometric product of two multivectors in the IR.

public class GeometricProductOp : IROp

Inheritance

object

IROp

GeometricProductOp

Inherited Members

IROp.OutputIds

IROp.OutputId

IROp.InputIds

IROp.OutputType

IROp.OutputShape

IROp.OutputShapes

IROp.OpType

IROp.ToString()

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

Remarks

The geometric product is the fundamental operation in Clifford/geometric algebra. It combines the inner product and outer product: AB = A·B + A∧B.

For Beginners: The geometric product is a way to multiply multivectors (objects that can represent scalars, vectors, planes, and volumes). It's more powerful than the dot product or cross product because it preserves all geometric information.

Properties

NegativeSignature

Gets or sets the number of negative-signature basis vectors (q).

public int NegativeSignature { get; set; }

Property Value

int

PositiveSignature

Gets or sets the number of positive-signature basis vectors (p).

public int PositiveSignature { get; set; }

Property Value

int

ZeroSignature

Gets or sets the number of zero-signature basis vectors (r).

public int ZeroSignature { get; set; }

Property Value

int

Methods

Validate()

Validates that this operation is correctly formed.

public override bool Validate()

Returns

bool

True if valid, false otherwise.