PiecewisePolynomial

interface PiecewisePolynomial<T : Comparable<T>> : Piecewise<T, Polynomial<T>>
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Represents piecewise-defined function where all the sub-functions are polynomials.

Functions

findPiece
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abstract override fun findPiece(arg: T): Polynomial<T>?
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Returns the appropriate sub-function for given piece key.

Properties

pieces
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abstract val pieces: Collection<Pair<ClosedRange<T>, Polynomial<T>>>
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An ordered list of range-polynomial pairs.

Extensions

asFunction
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fun <T : Comparable<T>, C : Ring<T>> PiecewisePolynomial<T>.asFunction(ring: C): (T) -> T?
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Convert this polynomial to a function returning nullable value (null if argument is outside piecewise range).
fun <T : Comparable<T>, C : Ring<T>> PiecewisePolynomial<T>.asFunction(ring: C, defaultValue: T): (T) -> T
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Convert this polynomial to a function using defaultValue for arguments outside the piecewise range.
integrate
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@UnstableKMathAPI()
fun <T : Comparable<T>> PiecewisePolynomial<T>.integrate(algebra: Field<T>): PiecewisePolynomial<T>
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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
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Compute definite integral of given PiecewisePolynomial piece by piece in a given range Requires UnivariateIntegrationNodes or IntegrationRange and IntegrandMaxCalls
value
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fun <T : Comparable<T>, C : Ring<T>> PiecewisePolynomial<T>.value(ring: C, arg: T): T?
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Return a value of polynomial function with given ring a given arg or null if argument is outside piecewise definition.

Sources

common source
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