Set of univariate integration ranges. First components correspond to the ranges themselves, second components to number of integration nodes per range.

UnivariateIntegrationNodes

class UnivariateIntegrationNodes(nodes: Buffer<Double>) : IntegrandFeature

UnivariateIntegrator

typealias UnivariateIntegrator<T> = Integrator<UnivariateIntegrand<T>>

Functions

build

fun GaussIntegratorRuleFactory.build(numPoints: Int, range: ClosedRange<Double>): Pair<Buffer<Double>, Buffer<Double>>

Create an integration rule by scaling existing normalized rule

getFeature

inline fun <T : IntegrandFeature> Integrand.getFeature(): T?

integrate

@UnstableKMathAPI

fun <T : Comparable<T>> PiecewisePolynomial<T>.integrate(algebra: Field<T>): PiecewisePolynomial<T>

Compute analytical indefinite integral of this PiecewisePolynomial, keeping all intervals intact

@UnstableKMathAPI

fun <T : Comparable<T>> PiecewisePolynomial<T>.integrate(algebra: Field<T>, range: ClosedRange<T>): T

Compute definite integral of given PiecewisePolynomial piece by piece in a given range Requires UnivariateIntegrationNodes or IntegrationRange and IntegrandMaxCalls

@UnstableKMathAPI

fun <T : Any> UnivariateIntegrator<T>.integrate(vararg features: IntegrandFeature, function: (Double) -> T): UnivariateIntegrand<T>

A shortcut method to integrate a function with additional features. Range must be provided in features. The function is placed in the end position to allow passing a lambda.

@UnstableKMathAPI

fun <T : Any> UnivariateIntegrator<T>.integrate(range: ClosedRange<Double>, vararg features: IntegrandFeature, function: (Double) -> T): UnivariateIntegrand<T>

A shortcut method to integrate a function in range with additional features. The function is placed in the end position to allow passing a lambda.

@UnstableKMathAPI

fun <T : Any> UnivariateIntegrator<T>.integrate(range: ClosedRange<Double>, featureBuilder: MutableList<IntegrandFeature>.() -> Unit = {}, function: (Double) -> T): UnivariateIntegrand<T>

A shortcut method to integrate a function in range with additional features. The function is placed in the end position to allow passing a lambda.

@UnstableKMathAPI

fun <T : Any> GaussIntegrator<T>.integrate(range: ClosedRange<Double>, order: Int = 10, intervals: Int = 10, vararg features: IntegrandFeature, function: (Double) -> T): UnivariateIntegrand<T>

Integrate using intervals segments with Gauss-Legendre rule of order order.

MultivariateIntegrand

fun <T : Any> MultivariateIntegrand(vararg features: IntegrandFeature, function: (Point<T>) -> T): MultivariateIntegrand<T>

UnivariateIntegrand

fun <T : Any> UnivariateIntegrand(function: (Double) -> T, vararg features: IntegrandFeature): UnivariateIntegrand<T>

Properties

calls

val Integrand.calls: Int

gaussIntegrator

val <T : Any> Field<T>.gaussIntegrator: GaussIntegrator<T>

Create a Gauss integrator for this field. By default, uses Legendre rule to compute points and weights. Custom rules could be provided by GaussIntegratorRuleFactory feature.

simpsonIntegrator

@UnstableKMathAPI

val <T : Any> Field<T>.simpsonIntegrator: SimpsonIntegrator<T>

simpsonIntegrator

val DoubleField.simpsonIntegrator: DoubleSimpsonIntegrator

splineIntegrator

@UnstableKMathAPI

val DoubleField.splineIntegrator: UnivariateIntegrator<Double>

value

val <T : Any> MultivariateIntegrand<T>.value: T?

value

val <T : Any> UnivariateIntegrand<T>.value: T

Value of the integrand or error

valueOrNull

val <T : Any> UnivariateIntegrand<T>.valueOrNull: T?

Value of the integrand if it is present or null