rtron-math/io.rtron.math.analysis.function.univariate.pure/PolynomialFunction

PolynomialFunction

data class PolynomialFunction(val coefficients: DoubleArray, val domain: Range<Double> = Range.all()) : UnivariateFunction

Polynomial function of form f(x) = c0 + c1*x + c2*x^2 + ... + c\[N]*x^N.

Parameters

coefficients

coefficients for f(x), whereby coefficients0 corresponds to c0

domain

domain for which the polynomial function is defined

Constructors

PolynomialFunction

constructor(coefficients: List<Double>)

constructor(coefficients: DoubleArray, domain: Range<Double> = Range.all())

Types

Companion

object Companion

Properties

coefficients

val coefficients: DoubleArray

degree

val degree: Int

degree of the polynomial function

domain

open override val domain: Range<Double>

endValue

val endValue: Either<Exception, Double>

endValue = f(upper endpoint of domain).

startValue

val startValue: Either<Exception, Double>

startValue = f(lowest endpoint of domain).

Functions

div

operator fun div(m: Double): StackedFunction

equals

open operator override fun equals(other: Any?): Boolean

hashCode

open override fun hashCode(): Int

plus

operator fun plus(other: UnivariateFunction): StackedFunction

slope

fun slope(x: Double): Either<Exception, Double>

Evaluation of the slope = f'(x) with strict checking whether x is within the function's domain.

slopeInFuzzy

fun slopeInFuzzy(x: Double, tolerance: Double): Either<Exception, Double>

Evaluation of the slope = f(x) with fuzzy checking whether x is within the function's domain.

times

operator fun times(m: Double): StackedFunction

toString

open override fun toString(): String

unaryMinus

operator fun unaryMinus(): StackedFunction

value

fun value(x: Double): Either<Exception, Double>

Evaluation of z = f(x) with strict checking whether x is within the function's domain.

valueInFuzzy

open fun valueInFuzzy(x: Double, tolerance: Double): Either<Exception, Double>

Evaluation of z = f(x) with fuzzy checking whether x is within the function's domain.

valueOrNull

fun valueOrNull(x: Double): Double?

Returns the calculated value of f(x), if x is within the function's domain. Otherwise null is returned.