Struct Easing.PolynomialEasing

Namespace

Xui.Core.Animation

Assembly

Core.dll

Represents a 3rd- or 4th-degree polynomial easing function for animation timing curves.

public readonly struct Easing.PolynomialEasing

Inherited Members

ValueType.Equals(object)

ValueType.GetHashCode()

ValueType.ToString()

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Remarks

This type can be used to approximate Bézier-based easing curves (like Easing.CubicBezier) using polynomial coefficients, which are faster to evaluate and easier to store or serialize.

Constructors

PolynomialEasing(NFloat, NFloat, NFloat, NFloat)

Constructs a 3rd-degree polynomial: y = B·x³ + C·x² + D·x + E

public PolynomialEasing(NFloat b, NFloat c, NFloat d, NFloat e)

Parameters

b NFloat

c NFloat

d NFloat

e NFloat

PolynomialEasing(NFloat, NFloat, NFloat, NFloat, NFloat)

Constructs a 4th-degree polynomial: y = A·x⁴ + B·x³ + C·x² + D·x + E

public PolynomialEasing(NFloat a, NFloat b, NFloat c, NFloat d, NFloat e)

Parameters

a NFloat

b NFloat

c NFloat

d NFloat

e NFloat

PolynomialEasing(CubicBezier, int)

Approximates a Easing.CubicBezier easing curve using a cubic polynomial. The result fits y = B·x³ + C·x² + D·x + E over the domain x ∈ [0, 1].

public PolynomialEasing(Easing.CubicBezier bezier, int samples = 16)

Parameters

bezier Easing.CubicBezier

The Bézier curve to approximate.

samples int

Number of sample points to use in least-squares fitting. Default is 16.

Fields

A

The coefficient for x⁴ (A = 0 for cubic curves).

public readonly NFloat A

Field Value

NFloat

B

The coefficient for x³.

public readonly NFloat B

Field Value

NFloat

C

The coefficient for x².

public readonly NFloat C

Field Value

NFloat

D

The coefficient for x¹.

public readonly NFloat D

Field Value

NFloat

E

The constant term.

public readonly NFloat E

Field Value

NFloat

Properties

this[NFloat]

Evaluates the polynomial at a given value of x ∈ [0, 1].

public NFloat this[NFloat x] { get; }

Parameters

x NFloat

The input value (typically time).

Property Value

NFloat

The eased value at x.