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Polynomial

class Polynomial

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​

public new Polynomialc0: number: Polynomial
public new Polynomialc0: numberc1: number: Polynomial
public new Polynomialc0: numberc1: numberc2: number: Polynomial
public new Polynomialc0: numberc1: numberc2: numberc3: number: Polynomial

Parameters

  • c0: number

    The constant coefficient

Properties​

c0​

readonly public c0: number

c1​

readonly public c1: number

c2​

readonly public c2: number

c3​

readonly public c3: number

Accessors​

degree​

public get degree(): number

The degree of the polynomial

Methods​

differentiate​

public differentiaten: number = 1: Polynomial

Return the nth derivative of the polynomial.

Parameters

  • n: number = 1

    The number of times to differentiate the polynomial.

eval​

public evalt: number: number
public evalt: numberderivative: number: number

Evaluate the polynomial at the given value t.

Parameters

  • t: number

    The value to sample at

localExtrema​

public localExtrema(): number[]

Calculate the local extrema of the polynomial.

localExtrema01​

public localExtrema01(): number[]

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

outputRange01​

public outputRange01(): number[]

Return the output value range within the unit interval.

roots​

public roots(): number[]

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

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

split​

public splitu: number: PolynomialPolynomial

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

Parameters

  • u: number

    The point at which to split the polynomial.

constant​

static public constantc0: number: Polynomial

Constructs a constant polynomial

Parameters

  • c0: number

    The constant coefficient

cubic​

static public cubicc0: numberc1: numberc2: numberc3: number: Polynomial

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

linear​

static public linearc0: numberc1: number: Polynomial

Constructs a linear polynomial

Parameters

  • c0: number

    The constant coefficient

  • c1: number

    The linear coefficient

quadratic​

static public quadraticc0: numberc1: numberc2: number: Polynomial

Constructs a quadratic polynomial

Parameters

  • c0: number

    The constant coefficient

  • c1: number

    The linear coefficient

  • c2: number

    The quadratic coefficient