Record TC3VectorHelper

Description
Methods

Unit

ADim

Declaration

type TC3VectorHelper = record helper for TC3Vector

Description

Record helper for TC3Vector providing additional operations specific to 3-component complex vectors.

Overview

Methods

Public function Conjugate: TC3Vector;
Public function Dot(const AVector: TC3Vector): TComplex;
Public function NullVector: TC3Vector;
Public function ToString: string;
Public function ToString(APrecision, ADigits: integer): string;

Description

Methods

Public function Conjugate: TC3Vector;

Returns the element-wise complex conjugate of the vector.

Public function Dot(const AVector: TC3Vector): TComplex;

Returns the Hermitian inner product of two complex vectors. 〈u,v〉 = Σ conj(uᵢ)·vᵢ Unlike the "*" operator, this uses the conjugate of the left operand.

Parameters
AVector
The right-hand operand.
Public function NullVector: TC3Vector;

Returns the zero vector of ℂ³. All 3 components are set to TComplex(Re=0, Im=0).

Public function ToString: string;

Converts the vector to its default string representation.

Public function ToString(APrecision, ADigits: integer): string;

Converts the vector to a formatted string with controlled precision.

Parameters
APrecision
Number of significant digits.
ADigits
Minimum number of digits in the output.
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