Declarations

function Noise(const x, y: Double): Double; overload;
function Noise(const x, y, z: Double): Double; overload;
function Noise(const x, y, z, w: Double): Double; overload;

Overload Details

Overload 1

function Noise(const x, y: Double): Double; overload;

Evaluates 2D Simplex Noise at spatial coordinates (x, y).

Parameter	Type	Description
x	Double	X spatial coordinate in Euclidean space.
y	Double	Y spatial coordinate in Euclidean space.

Type	Description
Double	Continuous scalar noise value in range [-1.0, 1.0].

Overload 2

function Noise(const x, y, z: Double): Double; overload;

Evaluates 3D Simplex Noise at spatial coordinates (x, y, z).

Parameter	Type	Description
x	Double	X spatial coordinate.
y	Double	Y spatial coordinate.
z	Double	Z spatial coordinate (or temporal dimension).

Type	Description
Double	Continuous scalar noise value in range [-1.0, 1.0].

Overload 3

function Noise(const x, y, z, w: Double): Double; overload;

Evaluates 4D Simplex Noise at coordinates (x, y, z, w).

Parameter	Type	Description
x	Double	X coordinate.
y	Double	Y coordinate.
z	Double	Z coordinate.
w	Double	W coordinate (e.g. time or extra parameter).

Type	Description
Double	Continuous scalar noise value in range [-1.0, 1.0].

Description

The Noise method samples continuous gradient noise at the specified coordinates:

1. 2D Noise Noise(x, y): Partitions 2D Euclidean space into equilateral triangles. Useful for planar texture generation, heightfield maps, and 2D particle drift.
2. 3D Noise Noise(x, y, z): Partitions 3D space into tetrahedrons. Ideal for volumetric textures (such as 3D fog, marble, or cloud density) or animating 2D textures smoothly over time ($z=\text{time}$).
3. 4D Noise Noise(x, y, z, w): Partitions 4D space into 5-cell hyper-simplices. Useful for animating 3D volumes over time, 4D vector fields, or multi-parameter procedural synthesis.

All variants return smooth $C^2$ continuous scalar values normalized approximately within $[-1.0,1.0]$.

Example

var
  Simplex: TSimplexNoise;
  Time: Double;
  Vx, Vy: Double;
begin
  Simplex := TSimplexNoise.Create;
  try
    Time := 1.5; // Seconds elapsed

    // Animate 2D flow field over time using 3D Simplex noise
    Vx := Simplex.Noise(10.0, 20.0, Time);
    Vy := Simplex.Noise(10.0 + 100.0, 20.0 + 100.0, Time);
  finally
    Simplex.Free;
  end;
end;