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Processed labeledRationalFunctionUtil.kt
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package space.kscience.kmath.functions
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import space.kscience.kmath.operations.*
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import kotlin.jvm.JvmName
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import kotlin.math.max
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import kotlin.math.min
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@ -1,130 +1,23 @@
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package math.polynomials
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/*
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* Copyright 2018-2021 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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import math.ringsAndFields.*
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import space.kscience.kmath.functions.LabeledRationalFunction
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package space.kscience.kmath.functions
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fun <T: Ring<T>> T.toLabeledRationalFunction() = LabeledRationalFunction(this.toLabeledPolynomial())
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// region Operator extensions
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// region Field case
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fun <T: Field<T>> LabeledRationalFunction<T>.reduced(): LabeledRationalFunction<T> {
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val greatestCommonDivider = polynomialGCD(numerator, denominator)
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return LabeledRationalFunction(
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numerator / greatestCommonDivider,
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denominator / greatestCommonDivider
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)
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}
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// endregion
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// region Constants
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operator fun <T: Ring<T>> T.plus(other: LabeledRationalFunction<T>) = other + this
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operator fun <T: Ring<T>> Integer.plus(other: LabeledRationalFunction<T>) = other + this
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operator fun <T: Ring<T>> Int.plus(other: LabeledRationalFunction<T>) = other + this
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operator fun <T: Ring<T>> Long.plus(other: LabeledRationalFunction<T>) = other + this
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operator fun <T: Ring<T>> T.minus(other: LabeledRationalFunction<T>) = -other + this
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operator fun <T: Ring<T>> Integer.minus(other: LabeledRationalFunction<T>) = -other + this
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operator fun <T: Ring<T>> Int.minus(other: LabeledRationalFunction<T>) = -other + this
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operator fun <T: Ring<T>> Long.minus(other: LabeledRationalFunction<T>) = -other + this
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operator fun <T: Ring<T>> T.times(other: LabeledRationalFunction<T>) = other * this
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operator fun <T: Ring<T>> Integer.times(other: LabeledRationalFunction<T>) = other * this
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operator fun <T: Ring<T>> Int.times(other: LabeledRationalFunction<T>) = other * this
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operator fun <T: Ring<T>> Long.times(other: LabeledRationalFunction<T>) = other * this
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// endregion
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// region Polynomials
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.plus(other: UnivariatePolynomial<T>) =
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LabeledRationalFunction(
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numerator + denominator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.plus(other: UnivariateRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial() + denominator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.plus(other: Polynomial<T>) =
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LabeledRationalFunction(
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numerator + denominator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.plus(other: NumberedRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial() + denominator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.minus(other: UnivariatePolynomial<T>) =
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LabeledRationalFunction(
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numerator - denominator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.minus(other: UnivariateRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial() - denominator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.minus(other: Polynomial<T>) =
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LabeledRationalFunction(
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numerator - denominator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.minus(other: NumberedRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial() - denominator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.times(other: UnivariatePolynomial<T>) =
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LabeledRationalFunction(
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numerator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.times(other: UnivariateRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.times(other: Polynomial<T>) =
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LabeledRationalFunction(
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numerator * other.toLabeledPolynomial(),
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denominator
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.times(other: NumberedRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.numerator.toLabeledPolynomial(),
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denominator * other.denominator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.div(other: UnivariatePolynomial<T>) =
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LabeledRationalFunction(
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numerator,
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denominator * other.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.div(other: UnivariateRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial(),
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denominator * other.numerator.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.div(other: Polynomial<T>) =
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LabeledRationalFunction(
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numerator,
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denominator * other.toLabeledPolynomial()
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)
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operator fun <T: Ring<T>> LabeledRationalFunction<T>.div(other: NumberedRationalFunction<T>) =
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LabeledRationalFunction(
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numerator * other.denominator.toLabeledPolynomial(),
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denominator * other.numerator.toLabeledPolynomial()
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)
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// endregion
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// endregion
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//// region Operator extensions
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//
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//// region Field case
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//
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//fun <T: Field<T>> LabeledRationalFunction<T>.reduced(): LabeledRationalFunction<T> {
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// val greatestCommonDivider = polynomialGCD(numerator, denominator)
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// return LabeledRationalFunction(
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// numerator / greatestCommonDivider,
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// denominator / greatestCommonDivider
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// )
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//}
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//
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//// endregion
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//
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//// endregion
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