kmath-functions/space.kscience.kmath.integration/GaussIntegrator

GaussIntegrator

class GaussIntegrator<T : Any>(val algebra: Field<T>) : Integrator<UnivariateIntegrand<T>> (source)

A simple one-pass integrator based on Gauss rule Following integrand features are accepted:

GaussIntegratorRuleFactory—a factory for computing the Gauss integration rule. By default, uses GaussLegendreRuleFactory.
IntegrationRange—the univariate range of integration. By default, uses 0..1 interval.
IntegrandMaxCalls—the maximum number of function calls during integration. For non-iterative rules, always uses the maximum number of points. By default, uses 10 points.
UnivariateIntegrandRanges—set of ranges and number of points per range. Defaults to given IntegrationRange and IntegrandMaxCalls.

Constructors

GaussIntegrator

constructor(algebra: Field<T>)

Types

Companion

object Companion

Functions

integrate

@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.

process

open override fun process(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T>

Runs one integration pass and return a new Integrand with a new set of features.

Properties

algebra

val algebra: Field<T>