@revideo/2d / curves / Polynomial

Class: Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:9

A polynomial in the form ax^3 + bx^2 + cx + d up to a cubic polynomial.

Source code liberally taken from: https://github.com/FreyaHolmer/Mathfs/blob/master/Runtime/Curves/Polynomial.cs

Constructors

Constructor

new Polynomial(c0): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:78

Parameters

c0

number

The constant coefficient

Returns

Polynomial

Constructor

new Polynomial(c0, c1): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:83

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

Returns

Polynomial

Constructor

new Polynomial(c0, c1, c2): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:89

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

c2

number

The quadratic coefficient

Returns

Polynomial

Constructor

new Polynomial(c0, c1, c2, c3): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:96

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

c2

number

The quadratic coefficient

c3

number

The cubic coefficient

Returns

Polynomial

Properties

c0

readonly c0: number

Defined in: 2d/src/lib/curves/Polynomial.ts:98

c1

readonly c1: number

Defined in: 2d/src/lib/curves/Polynomial.ts:10

c2

readonly c2: number

Defined in: 2d/src/lib/curves/Polynomial.ts:11

c3

readonly c3: number

Defined in: 2d/src/lib/curves/Polynomial.ts:12

Accessors

degree

Get Signature

get degree(): number

Defined in: 2d/src/lib/curves/Polynomial.ts:64

The degree of the polynomial

Returns

number

Methods

differentiate()

differentiate(n?): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:113

Return the nth derivative of the polynomial.

Parameters

n?

number = 1

The number of times to differentiate the polynomial.

Returns

Polynomial

eval()

Call Signature

eval(t): number

Defined in: 2d/src/lib/curves/Polynomial.ts:133

Evaluate the polynomial at the given value t.

Parameters

t

number

The value to sample at

Returns

number

Call Signature

eval(t, derivative): number

Defined in: 2d/src/lib/curves/Polynomial.ts:140

Evaluate the nth derivative of the polynomial at the given value t.

Parameters

t

number

The value to sample at

derivative

number

The derivative of the polynomial to sample from

Returns

number

localExtrema()

localExtrema(): number[]

Defined in: 2d/src/lib/curves/Polynomial.ts:196

Calculate the local extrema of the polynomial.

Returns

number[]

localExtrema01()

localExtrema01(): number[]

Defined in: 2d/src/lib/curves/Polynomial.ts:203

Calculate the local extrema of the polynomial in the unit interval.

Returns

number[]

outputRange01()

outputRange01(): number[]

Defined in: 2d/src/lib/curves/Polynomial.ts:218

Return the output value range within the unit interval.

Returns

number[]

roots()

roots(): number[]

Defined in: 2d/src/lib/curves/Polynomial.ts:178

Calculate the roots (values where this polynomial = 0).

Returns

number[]

Remarks

Depending on the degree of the polynomial, returns between 0 and 3 results.

split()

split(u): [Polynomial, Polynomial]

Defined in: 2d/src/lib/curves/Polynomial.ts:153

Split the polynomial into two polynomials of the same overall shape.

Parameters

u

number

The point at which to split the polynomial.

Returns

[Polynomial, Polynomial]

constant()

static constant(c0): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:19

Constructs a constant polynomial

Parameters

c0

number

The constant coefficient

Returns

Polynomial

cubic()

static cubic(c0, c1, c2, c3): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:52

Constructs a cubic polynomial

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

c2

number

The quadratic coefficient

c3

number

The cubic coefficient

Returns

Polynomial

linear()

static linear(c0, c1): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:29

Constructs a linear polynomial

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

Returns

Polynomial

quadratic()

static quadratic(c0, c1, c2): Polynomial

Defined in: 2d/src/lib/curves/Polynomial.ts:40

Constructs a quadratic polynomial

Parameters

c0

number

The constant coefficient

c1

number

The linear coefficient

c2

number

The quadratic coefficient

Returns

Polynomial