Dev #280
@ -10,8 +10,9 @@ import kotlin.math.max
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import kotlin.math.pow
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/**
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* Polynomial coefficients without fixation on specific context they are applied to
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* @param coefficients constant is the leftmost coefficient
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* Polynomial coefficients model without fixation on specific context they are applied to.
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*
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* @param coefficients constant is the leftmost coefficient.
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*/
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public inline class Polynomial<T : Any>(public val coefficients: List<T>)
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@ -21,8 +22,14 @@ public inline class Polynomial<T : Any>(public val coefficients: List<T>)
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@Suppress("FunctionName")
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public fun <T : Any> Polynomial(vararg coefficients: T): Polynomial<T> = Polynomial(coefficients.toList())
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/**
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* Evaluates the value of the given double polynomial for given double argument.
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*/
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public fun Polynomial<Double>.value(): Double = coefficients.reduceIndexed { index, acc, d -> acc + d.pow(index) }
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/**
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* Evaluates the value of the given polynomial for given argument.
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*/
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public fun <T : Any, C : Ring<T>> Polynomial<T>.value(ring: C, arg: T): T = ring {
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if (coefficients.isEmpty()) return@ring zero
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var res = coefficients.first()
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@ -38,19 +45,23 @@ public fun <T : Any, C : Ring<T>> Polynomial<T>.value(ring: C, arg: T): T = ring
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}
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/**
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* Represent the polynomial as a regular context-less function
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* Represent the polynomial as a regular context-less function.
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*/
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public fun <T : Any, C : Ring<T>> Polynomial<T>.asFunction(ring: C): (T) -> T = { value(ring, it) }
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/**
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* An algebra for polynomials
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* Space of polynomials.
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*
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* @param T the type of operated polynomials.
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* @param C the intersection of [Ring] of [T] and [ScaleOperations] of [T].
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* @param ring the [C] instance.
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*/
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public class PolynomialSpace<T : Any, C>(
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private val ring: C,
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) : Group<Polynomial<T>>, ScaleOperations<Polynomial<T>> where C : Ring<T>, C : ScaleOperations<T> {
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public override val zero: Polynomial<T> = Polynomial(emptyList())
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override fun Polynomial<T>.unaryMinus(): Polynomial<T> = with(ring) {
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override fun Polynomial<T>.unaryMinus(): Polynomial<T> = ring {
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Polynomial(coefficients.map { -it })
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}
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@ -67,6 +78,9 @@ public class PolynomialSpace<T : Any, C>(
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public override fun scale(a: Polynomial<T>, value: Double): Polynomial<T> =
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ring { Polynomial(List(a.coefficients.size) { index -> a.coefficients[index] * value }) }
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/**
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* Evaluates the polynomial for the given value [arg].
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*/
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public operator fun Polynomial<T>.invoke(arg: T): T = value(ring, arg)
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}
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@ -1,11 +1,11 @@
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package space.kscience.kmath.integration
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/**
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* A general interface for all integrators
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* A general interface for all integrators.
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*/
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public interface Integrator<I : Integrand> {
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/**
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* Run one integration pass and return a new [Integrand] with a new set of features
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* Runs one integration pass and return a new [Integrand] with a new set of features.
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*/
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public fun integrate(integrand: I): I
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}
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}
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@ -61,4 +61,4 @@ public fun UnivariateIntegrator<Double>.integrate(
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return integrate(
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UnivariateIntegrand(function, *features.toTypedArray())
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).value ?: error("Unexpected: no value after integration.")
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}
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}
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@ -8,8 +8,11 @@ import space.kscience.kmath.operations.invoke
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import space.kscience.kmath.structures.MutableBufferFactory
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/**
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* Generic spline interpolator. Not recommended for performance critical places, use platform-specific and type specific ones.
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* Based on https://github.com/apache/commons-math/blob/eb57d6d457002a0bb5336d789a3381a24599affe/src/main/java/org/apache/commons/math4/analysis/interpolation/SplineInterpolator.java
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* Generic spline interpolator. Not recommended for performance critical places, use platform-specific and type
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* specific ones.
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*
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* Based on
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* https://github.com/apache/commons-math/blob/eb57d6d457002a0bb5336d789a3381a24599affe/src/main/java/org/apache/commons/math4/analysis/interpolation/SplineInterpolator.java
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*/
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public class SplineInterpolator<T : Comparable<T>>(
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public override val algebra: Field<T>,
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@ -3,13 +3,40 @@ package space.kscience.kmath.interpolation
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import space.kscience.kmath.nd.Structure2D
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import space.kscience.kmath.structures.Buffer
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/**
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* Pair of associated buffers for X and Y axes values.
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*
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* @param X the type of X values.
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* @param Y the type of Y values.
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*/
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public interface XYPointSet<X, Y> {
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/**
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* The size of all the involved buffers.
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*/
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public val size: Int
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/**
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* The buffer of X values.
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*/
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public val x: Buffer<X>
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/**
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* The buffer of Y values.
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*/
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public val y: Buffer<Y>
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}
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/**
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* Triple of associated buffers for X, Y, and Z axes values.
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*
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* @param X the type of X values.
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* @param Y the type of Y values.
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* @param Z the type of Z values.
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*/
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public interface XYZPointSet<X, Y, Z> : XYPointSet<X, Y> {
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/**
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* The buffer of Z values.
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*/
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public val z: Buffer<Z>
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}
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