Added some tests and some utilities for tests. Fixed bug in utility of PolynomialSpace.
This commit is contained in:
Gleb Minaev
parent
85cd3b4de6
commit
a965f5683f
@ -447,7 +447,7 @@ public open class PolynomialSpace<C, A : Ring<C>>(
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callsInPlace(block, InvocationKind.EXACTLY_ONCE)
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}
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block()
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while (elementAt(lastIndex).isZero()) removeAt(lastIndex)
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while (isNotEmpty() && elementAt(lastIndex).isZero()) removeAt(lastIndex)
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return this
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}
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internal inline fun List<C>.applyAndRemoveZeros(block: MutableList<C>.() -> Unit) : List<C> =
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@ -456,7 +456,7 @@ public open class PolynomialSpace<C, A : Ring<C>>(
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internal inline fun MutableCoefficients(size: Int, init: (index: Int) -> C): MutableList<C> {
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val list = ArrayList<C>(size)
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repeat(size) { index -> list.add(init(index)) }
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with(list) { while (elementAt(lastIndex).isZero()) removeAt(lastIndex) }
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with(list) { while (isNotEmpty() && elementAt(lastIndex).isZero()) removeAt(lastIndex) }
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return list
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}
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@Suppress("FunctionName")
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@ -466,7 +466,7 @@ public open class PolynomialSpace<C, A : Ring<C>>(
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contract { callsInPlace(builderAction, InvocationKind.EXACTLY_ONCE) }
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return buildList {
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builderAction()
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while (elementAt(lastIndex).isZero()) removeAt(lastIndex)
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while (isNotEmpty() && elementAt(lastIndex).isZero()) removeAt(lastIndex)
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}
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}
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@OptIn(ExperimentalTypeInference::class)
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@ -474,7 +474,7 @@ public open class PolynomialSpace<C, A : Ring<C>>(
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contract { callsInPlace(builderAction, InvocationKind.EXACTLY_ONCE) }
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return buildList(capacity) {
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builderAction()
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while (elementAt(lastIndex).isZero()) removeAt(lastIndex)
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while (isNotEmpty() && elementAt(lastIndex).isZero()) removeAt(lastIndex)
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}
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}
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}
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@ -5,11 +5,78 @@
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package space.kscience.kmath.functions
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import space.kscience.kmath.operations.BigInt
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import space.kscience.kmath.operations.algebra
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import space.kscience.kmath.operations.toBigInt
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import space.kscience.kmath.test.misc.Rational
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import space.kscience.kmath.test.misc.RationalField
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import space.kscience.kmath.test.misc.gcd
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import kotlin.test.Test
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import kotlin.test.assertEquals
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class PolynomialTest {
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@Test
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fun test_Polynomial_Polynomial_plus() {
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RationalField.polynomial {
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// (5/9 - 8/9 x - 8/7 x^2) + (-5/7 + 5/1 x + 5/8 x^2) ?= -10/63 + 37/9 x - 29/56 x^2
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assertEquals(
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Polynomial(Rational(-10, 63), Rational(37, 9), Rational(-29, 56)),
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Polynomial(Rational(5, 9), Rational(-8, 9), Rational(-8, 7)) +
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Polynomial(Rational(-5, 7), Rational(5, 1), Rational(5, 8)),
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"test 1"
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)
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// (-2/9 - 8/3 x) + (0 + 9/4 x + 2/4 x^2) ?= -2/9 - 5/12 x + 2/4 x^2
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assertEquals(
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Polynomial(Rational(-2, 9), Rational(-5, 12), Rational(2, 4)),
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Polynomial(Rational(-2, 9), Rational(-8, 3)) +
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Polynomial(Rational(0), Rational(9, 4), Rational(2, 4)),
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"test 2"
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)
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// (-4/7 - 2/6 x + 0 x^2 + 0 x^3) + (-6/3 - 7/2 x + 2/3 x^2) ?= -18/7 - 23/6 x + 2/3 x^2
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assertEquals(
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Polynomial(Rational(-18, 7), Rational(-23, 6), Rational(2, 3)),
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Polynomial(Rational(-4, 7), Rational(-2, 6), Rational(0), Rational(0)) +
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Polynomial(Rational(-6, 3), Rational(-7, 2), Rational(2, 3)),
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"test 3"
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)
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// (-2/4 - 6/9 x - 4/9 x^2) + (2/4 + 6/9 x + 4/9 x^2) ?= 0
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assertEquals(
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Polynomial(),
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Polynomial(Rational(-2, 4), Rational(-6, 9), Rational(-4, 9)) +
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Polynomial(Rational(2, 4), Rational(6, 9), Rational(4, 9)),
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"test 4"
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)
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}
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}
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// @Test
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// fun test_Polynomial_Polynomial_minus() {
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// RationalField.polynomial {
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// assertEquals(
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// Polynomial(Rational(1, 2), Rational(3, 5), Rational(-2)) +
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// Polynomial(Rational(3), Rational(7, 8), Rational(1, 9)),
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// Polynomial(Rational(7, 2), Rational(59, 40), Rational(-17, 9)),
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// "test 1"
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// )
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// assertEquals(
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// Polynomial(Rational(1, 2), Rational(3, 5)) +
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// Polynomial(Rational(3), Rational(7, 8), Rational(1, 9)),
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// Polynomial(Rational(7, 2), Rational(59, 40), Rational(1, 9)),
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// "test 2"
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// )
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// assertEquals(
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// Polynomial(Rational(1, 2), Rational(3, 5), Rational(0), Rational(0)) +
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// Polynomial(Rational(3), Rational(7, 8), Rational(1, 9)),
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// Polynomial(Rational(7, 2), Rational(59, 40), Rational(1, 9)),
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// "test 3"
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// )
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// assertEquals(
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// Polynomial(Rational(1, 2), Rational(-3, 5), Rational(7, 3)) +
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// Polynomial(Rational(3), Rational(3, 5), Rational(-7, 3)),
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// Polynomial(Rational(7, 2)),
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// "test 4"
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// )
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// }
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// }
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@Test
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fun simple_polynomial_test() {
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val polynomial : Polynomial<Double>
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@ -0,0 +1,387 @@
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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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package space.kscience.kmath.test.misc
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import space.kscience.kmath.misc.UnstableKMathAPI
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import space.kscience.kmath.operations.BigInt
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import space.kscience.kmath.operations.Field
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import space.kscience.kmath.operations.NumbersAddOps
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import space.kscience.kmath.operations.toBigInt
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import space.kscience.kmath.operations.BigInt.Companion.ZERO as I0
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import space.kscience.kmath.operations.BigInt.Companion.ONE as I1
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/**
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* The class represents rational numbers.
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*
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* Instances contain [numerator] and [denominator] represented as [Long].
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*
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* Also [numerator] and [denominator] are coprime and [denominator] is positive.
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*
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* @author [Gleb Minaev](https://github.com/lounres)
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*/
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public class Rational: Comparable<Rational> {
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public companion object {
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/**
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* Constant containing the zero (the additive identity) of the [Rational] field.
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*/
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public val ZERO: Rational = Rational(I0)
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/**
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* Constant containing the one (the multiplicative identity) of the [Rational] field.
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*/
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public val ONE: Rational = Rational(I1)
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}
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/**
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* Numerator of the fraction. It's stored as non-negative coprime with [denominator] integer.
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*/
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public val numerator: BigInt
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/**
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* Denominator of the fraction. It's stored as non-zero coprime with [numerator] integer.
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*/
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public val denominator: BigInt
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/**
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* If [toCheckInput] is `true` before assigning values to [Rational.numerator] and [Rational.denominator] makes them coprime and makes
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* denominator positive. Otherwise, just assigns the values.
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*
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* @throws ArithmeticException If denominator is zero.
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*/
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internal constructor(numerator: BigInt, denominator: BigInt, toCheckInput: Boolean = true) {
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if (toCheckInput) {
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if (denominator == I0) throw ArithmeticException("/ by zero")
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val greatestCommonDivider = gcd(numerator, denominator).let { if (denominator < I0) -it else it }
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this.numerator = numerator / greatestCommonDivider
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this.denominator = denominator / greatestCommonDivider
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} else {
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this.numerator = numerator
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this.denominator = denominator
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}
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}
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/**
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* Before assigning values to [Rational.numerator] and [Rational.denominator] makes them coprime and makes
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* denominator positive.
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*
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* @throws ArithmeticException If denominator is zero.
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*/
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public constructor(numerator: BigInt, denominator: BigInt) : this(numerator, denominator, true)
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public constructor(numerator: Int, denominator: BigInt) : this(numerator.toBigInt(), denominator, true)
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public constructor(numerator: Long, denominator: BigInt) : this(numerator.toBigInt(), denominator, true)
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public constructor(numerator: BigInt, denominator: Int) : this(numerator, denominator.toBigInt(), true)
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public constructor(numerator: BigInt, denominator: Long) : this(numerator, denominator.toBigInt(), true)
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public constructor(numerator: Int, denominator: Int) : this(numerator.toBigInt(), denominator.toBigInt(), true)
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public constructor(numerator: Int, denominator: Long) : this(numerator.toBigInt(), denominator.toBigInt(), true)
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public constructor(numerator: Long, denominator: Int) : this(numerator.toBigInt(), denominator.toBigInt(), true)
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public constructor(numerator: Long, denominator: Long) : this(numerator.toBigInt(), denominator.toBigInt(), true)
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public constructor(numerator: BigInt) : this(numerator, I1, false)
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public constructor(numerator: Int) : this(numerator.toBigInt(), I1, false)
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public constructor(numerator: Long) : this(numerator.toBigInt(), I1, false)
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/**
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* Returns the same instant.
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*/
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public operator fun unaryPlus(): Rational = this
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/**
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* Returns negation of the instant of [Rational] field.
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*/
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public operator fun unaryMinus(): Rational = Rational(-this.numerator, this.denominator)
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/**
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* Returns sum of the instants of [Rational] field.
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*/
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public operator fun plus(other: Rational): Rational =
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Rational(
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numerator * other.denominator + denominator * other.numerator,
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denominator * other.denominator
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)
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/**
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* Returns sum of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun plus(other: BigInt): Rational =
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Rational(
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numerator + denominator * other,
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denominator
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)
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/**
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* Returns sum of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun plus(other: Int): Rational =
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Rational(
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numerator + denominator * other.toBigInt(),
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denominator
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)
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/**
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* Returns sum of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun plus(other: Long): Rational =
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Rational(
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numerator + denominator * other.toBigInt(),
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denominator
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)
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/**
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* Returns difference of the instants of [Rational] field.
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*/
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public operator fun minus(other: Rational): Rational =
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Rational(
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numerator * other.denominator - denominator * other.numerator,
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denominator * other.denominator
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)
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/**
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* Returns difference of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun minus(other: BigInt): Rational =
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Rational(
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numerator - denominator * other,
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denominator
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)
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/**
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* Returns difference of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun minus(other: Int): Rational =
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Rational(
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numerator - denominator * other.toBigInt(),
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denominator
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)
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/**
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* Returns difference of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun minus(other: Long): Rational =
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Rational(
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numerator - denominator * other.toBigInt(),
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denominator
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)
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/**
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* Returns product of the instants of [Rational] field.
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*/
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public operator fun times(other: Rational): Rational =
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Rational(
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numerator * other.numerator,
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denominator * other.denominator
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)
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/**
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* Returns product of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun times(other: BigInt): Rational =
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Rational(
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numerator * other,
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denominator
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)
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/**
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* Returns product of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun times(other: Int): Rational =
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Rational(
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numerator * other.toBigInt(),
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denominator
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)
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/**
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* Returns product of the instants of [Rational] field. [other] is represented as [Rational].
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*/
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public operator fun times(other: Long): Rational =
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Rational(
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numerator * other.toBigInt(),
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denominator
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)
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/**
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* Returns quotient of the instants of [Rational] field.
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun div(other: Rational): Rational =
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Rational(
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numerator * other.denominator,
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denominator * other.numerator
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)
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/**
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* Returns quotient of the instants of [Rational] field. [other] is represented as [Rational].
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun div(other: BigInt): Rational =
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Rational(
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numerator,
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denominator * other
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)
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/**
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* Returns quotient of the instants of [Rational] field. [other] is represented as [Rational].
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun div(other: Int): Rational =
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Rational(
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numerator,
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denominator * other.toBigInt()
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)
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/**
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* Returns quotient of the instants of [Rational] field. [other] is represented as [Rational].
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun div(other: Long): Rational =
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Rational(
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numerator,
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denominator * other.toBigInt()
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)
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/**
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* Returns reminder from integral division.
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun rem(other: Rational): Rational =
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Rational(
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(numerator * other.denominator) % (denominator * other.numerator),
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denominator * other.denominator
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)
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/**
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* Returns reminder from integral division.
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun rem(other: BigInt): Rational =
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Rational(
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numerator % denominator * other,
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denominator * other
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)
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/**
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* Returns reminder from integral division.
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun rem(other: Int): Rational =
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Rational(
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numerator % denominator * other.toBigInt(),
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denominator * other.toBigInt()
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)
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/**
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* Returns reminder from integral division.
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*
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* @throws ArithmeticException if [other] is the zero of the field it can't be a divisor.
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*/
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public operator fun rem(other: Long): Rational =
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Rational(
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numerator % denominator * other.toBigInt(),
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denominator * other.toBigInt()
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)
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/**
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* Checks equality of the instance to [other].
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*
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* [BigInt], [Int] and [Long] values are also checked as Rational ones.
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*/
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override fun equals(other: Any?): Boolean =
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when (other) {
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is Rational -> numerator == other.numerator && denominator == other.denominator
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is BigInt -> numerator == other && denominator == I1
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is Int -> numerator == other && denominator == I1
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is Long -> numerator == other && denominator == I1
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else -> false
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}
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/**
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* Compares the instance to [other] as [Comparable.compareTo].
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*
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* @see Comparable.compareTo
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*/
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override operator fun compareTo(other: Rational): Int = (numerator * other.denominator).compareTo(other.numerator * denominator)
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/**
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* Compares the instance to [other] as [Comparable.compareTo].
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*
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* [Integer] values are also checked as Rational ones.
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*
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* @see Comparable.compareTo
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*/
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public operator fun compareTo(other: BigInt): Int = (numerator).compareTo(denominator * other)
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/**
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* Compares the instance to [other] as [Comparable.compareTo].
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*
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* [Int] values are also checked as Rational ones.
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*
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* @see Comparable.compareTo
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*/
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public operator fun compareTo(other: Int): Int = (numerator).compareTo(denominator * other.toBigInt())
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/**
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* Compares the instance to [other] as [Comparable.compareTo].
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*
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* [Long] values are also checked as Rational ones.
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*
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* @see Comparable.compareTo
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*/
|
||||
public operator fun compareTo(other: Long): Int = (numerator).compareTo(denominator * other.toBigInt())
|
||||
|
||||
public override fun hashCode(): Int = 31 * numerator.hashCode() + denominator.hashCode()
|
||||
|
||||
// /** Creates a range from this value to the specified [other] value. */
|
||||
// operator fun rangeTo(other: JBInt) = ClosedRationalRange(this, other.toRational())
|
||||
// /** Creates a range from this value to the specified [other] value. */
|
||||
// operator fun rangeTo(other: Rational) = ClosedRationalRange(this, other)
|
||||
// /** Creates a range from this value to the specified [other] value. */
|
||||
// operator fun rangeTo(other: Int) = ClosedRationalRange(this, other.toRational())
|
||||
// /** Creates a range from this value to the specified [other] value. */
|
||||
// operator fun rangeTo(other: Long) = ClosedRationalRange(this, other.toRational())
|
||||
|
||||
public fun toRational(): Rational = this
|
||||
|
||||
public fun toBigInt(): BigInt = numerator / denominator
|
||||
|
||||
// public fun toInt(): Int = (numerator / denominator).toInt()
|
||||
//
|
||||
// public fun toLong(): Long = (numerator / denominator).toLong()
|
||||
//
|
||||
// public fun toDouble(): Double = (numerator.toDouble() / denominator.toDouble())
|
||||
//
|
||||
// public fun toFloat(): Float = (numerator.toFloat() / denominator.toFloat())
|
||||
|
||||
public override fun toString(): String = if (denominator == I1) "$numerator" else "$numerator/$denominator"
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* Algebraic structure for rational numbers.
|
||||
*/
|
||||
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
|
||||
@OptIn(UnstableKMathAPI::class)
|
||||
public object RationalField : Field<Rational>, NumbersAddOps<Rational> {
|
||||
override inline val zero: Rational get() = Rational.ZERO
|
||||
override inline val one: Rational get() = Rational.ONE
|
||||
|
||||
override inline fun number(value: Number): Rational = Rational(value.toLong())
|
||||
|
||||
override inline fun add(left: Rational, right: Rational): Rational = left + right
|
||||
override inline fun multiply(left: Rational, right: Rational): Rational = left * right
|
||||
override inline fun divide(left: Rational, right: Rational): Rational = left / right
|
||||
override inline fun scale(a: Rational, value: Double): Rational = a * number(value)
|
||||
|
||||
override inline fun Rational.unaryMinus(): Rational = -this
|
||||
override inline fun Rational.plus(arg: Rational): Rational = this + arg
|
||||
override inline fun Rational.minus(arg: Rational): Rational = this - arg
|
||||
override inline fun Rational.times(arg: Rational): Rational = this * arg
|
||||
override inline fun Rational.div(arg: Rational): Rational = this / arg
|
||||
}
|
||||
@ -0,0 +1,113 @@
|
||||
/*
|
||||
* Copyright 2018-2021 KMath contributors.
|
||||
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
||||
*/
|
||||
|
||||
package space.kscience.kmath.test.misc
|
||||
|
||||
import space.kscience.kmath.misc.UnstableKMathAPI
|
||||
import space.kscience.kmath.operations.*
|
||||
|
||||
class RationalWithMemorization private constructor(
|
||||
val value: Rational,
|
||||
override val memory : OperationsMemory
|
||||
): WithMemorization {
|
||||
public companion object {
|
||||
/**
|
||||
* Constant containing the zero (the additive identity) of the [Rational] field.
|
||||
*/
|
||||
public val ZERO: RationalWithMemorization = RationalWithMemorization(Rational.ZERO, object : Endpoint {})
|
||||
/**
|
||||
* Constant containing the one (the multiplicative identity) of the [Rational] field.
|
||||
*/
|
||||
public val ONE: RationalWithMemorization = RationalWithMemorization(Rational.ONE, object : Endpoint {})
|
||||
}
|
||||
public constructor(numerator: BigInt, denominator: BigInt) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Int, denominator: BigInt) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Long, denominator: BigInt) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: BigInt, denominator: Int) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: BigInt, denominator: Long) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Int, denominator: Int) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Int, denominator: Long) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Long, denominator: Int) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: Long, denominator: Long) : this(Rational(numerator, denominator), object : Endpoint {})
|
||||
public constructor(numerator: BigInt) : this(Rational(numerator), object : Endpoint {})
|
||||
public constructor(numerator: Int) : this(Rational(numerator), object : Endpoint {})
|
||||
public constructor(numerator: Long) : this(Rational(numerator), object : Endpoint {})
|
||||
|
||||
public operator fun unaryPlus(): RationalWithMemorization = this
|
||||
public operator fun unaryMinus(): RationalWithMemorization = RationalWithMemorization(
|
||||
-value,
|
||||
object : Negation {
|
||||
override val negated: OperationsMemory = memory
|
||||
}
|
||||
)
|
||||
public operator fun plus(other: RationalWithMemorization): RationalWithMemorization = RationalWithMemorization(
|
||||
value + other.value,
|
||||
object : Sum {
|
||||
override val augend: OperationsMemory = memory
|
||||
override val addend: OperationsMemory = other.memory
|
||||
}
|
||||
)
|
||||
public operator fun minus(other: RationalWithMemorization): RationalWithMemorization = RationalWithMemorization(
|
||||
value - other.value,
|
||||
object : Difference {
|
||||
override val minuend: OperationsMemory = memory
|
||||
override val subtrahend: OperationsMemory = other.memory
|
||||
}
|
||||
)
|
||||
public operator fun times(other: RationalWithMemorization): RationalWithMemorization = RationalWithMemorization(
|
||||
value * other.value,
|
||||
object : Product {
|
||||
override val multiplicand: OperationsMemory = memory
|
||||
override val multiplier: OperationsMemory = other.memory
|
||||
}
|
||||
)
|
||||
public operator fun div(other: RationalWithMemorization): RationalWithMemorization = RationalWithMemorization(
|
||||
value / other.value,
|
||||
object : Quotient {
|
||||
override val dividend: OperationsMemory = memory
|
||||
override val divisor: OperationsMemory = other.memory
|
||||
}
|
||||
)
|
||||
|
||||
public override fun equals(other: Any?): Boolean =
|
||||
other is RationalWithMemorization && value == other.value
|
||||
|
||||
public override fun hashCode(): Int = value.hashCode()
|
||||
|
||||
public override fun toString(): String = value.toString()
|
||||
}
|
||||
|
||||
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
|
||||
public object RationalWithMemorizationRing : Ring<RationalWithMemorization> {
|
||||
override inline val zero: RationalWithMemorization get() = RationalWithMemorization.ZERO
|
||||
override inline val one: RationalWithMemorization get() = RationalWithMemorization.ONE
|
||||
|
||||
override inline fun add(left: RationalWithMemorization, right: RationalWithMemorization): RationalWithMemorization = left + right
|
||||
override inline fun multiply(left: RationalWithMemorization, right: RationalWithMemorization): RationalWithMemorization = left * right
|
||||
|
||||
override inline fun RationalWithMemorization.unaryMinus(): RationalWithMemorization = -this
|
||||
override inline fun RationalWithMemorization.plus(arg: RationalWithMemorization): RationalWithMemorization = this + arg
|
||||
override inline fun RationalWithMemorization.minus(arg: RationalWithMemorization): RationalWithMemorization = this - arg
|
||||
override inline fun RationalWithMemorization.times(arg: RationalWithMemorization): RationalWithMemorization = this * arg
|
||||
}
|
||||
|
||||
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
|
||||
public object RationalWithMemorizationField : Field<RationalWithMemorization> {
|
||||
override inline val zero: RationalWithMemorization get() = RationalWithMemorization.ZERO
|
||||
override inline val one: RationalWithMemorization get() = RationalWithMemorization.ONE
|
||||
|
||||
override inline fun number(value: Number): RationalWithMemorization = RationalWithMemorization(value.toLong())
|
||||
|
||||
override inline fun add(left: RationalWithMemorization, right: RationalWithMemorization): RationalWithMemorization = left + right
|
||||
override inline fun multiply(left: RationalWithMemorization, right: RationalWithMemorization): RationalWithMemorization = left * right
|
||||
override inline fun divide(left: RationalWithMemorization, right: RationalWithMemorization): RationalWithMemorization = left / right
|
||||
override inline fun scale(a: RationalWithMemorization, value: Double): RationalWithMemorization = a * number(value)
|
||||
|
||||
override inline fun RationalWithMemorization.unaryMinus(): RationalWithMemorization = -this
|
||||
override inline fun RationalWithMemorization.plus(arg: RationalWithMemorization): RationalWithMemorization = this + arg
|
||||
override inline fun RationalWithMemorization.minus(arg: RationalWithMemorization): RationalWithMemorization = this - arg
|
||||
override inline fun RationalWithMemorization.times(arg: RationalWithMemorization): RationalWithMemorization = this * arg
|
||||
override inline fun RationalWithMemorization.div(arg: RationalWithMemorization): RationalWithMemorization = this / arg
|
||||
}
|
||||
@ -0,0 +1,51 @@
|
||||
/*
|
||||
* Copyright 2018-2021 KMath contributors.
|
||||
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
||||
*/
|
||||
|
||||
package space.kscience.kmath.test.misc
|
||||
|
||||
sealed interface OperationsMemory
|
||||
|
||||
interface Endpoint: OperationsMemory
|
||||
|
||||
interface Negation: OperationsMemory {
|
||||
val negated: OperationsMemory
|
||||
}
|
||||
|
||||
interface Sum: OperationsMemory {
|
||||
val augend: OperationsMemory
|
||||
val addend: OperationsMemory
|
||||
}
|
||||
|
||||
interface Difference: OperationsMemory {
|
||||
val minuend: OperationsMemory
|
||||
val subtrahend: OperationsMemory
|
||||
}
|
||||
|
||||
interface Product: OperationsMemory {
|
||||
val multiplicand: OperationsMemory
|
||||
val multiplier: OperationsMemory
|
||||
}
|
||||
|
||||
interface Quotient: OperationsMemory {
|
||||
val dividend: OperationsMemory
|
||||
val divisor: OperationsMemory
|
||||
}
|
||||
|
||||
|
||||
fun equalMemories(one: OperationsMemory, other: OperationsMemory) : Boolean =
|
||||
when(one) {
|
||||
is Negation -> other is Negation && equalMemories(one.negated, other.negated)
|
||||
is Sum -> other is Sum && equalMemories(one.augend, other.augend) && equalMemories(one.addend, other.addend)
|
||||
is Difference -> other is Difference && equalMemories(one.minuend, other.minuend) && equalMemories(one.subtrahend, other.subtrahend)
|
||||
is Product -> other is Product && equalMemories(one.multiplicand, other.multiplicand) && equalMemories(one.multiplier, other.multiplier)
|
||||
is Quotient -> other is Quotient && equalMemories(one.dividend, other.dividend) && equalMemories(one.divisor, other.divisor)
|
||||
is Endpoint -> one === other
|
||||
}
|
||||
|
||||
interface WithMemorization {
|
||||
val memory: OperationsMemory
|
||||
}
|
||||
|
||||
fun equalMemories(one: WithMemorization, other: WithMemorization) : Boolean = equalMemories(one.memory, other.memory)
|
||||
@ -0,0 +1,25 @@
|
||||
/*
|
||||
* Copyright 2018-2021 KMath contributors.
|
||||
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
||||
*/
|
||||
|
||||
package space.kscience.kmath.test.misc
|
||||
|
||||
import space.kscience.kmath.operations.*
|
||||
import space.kscience.kmath.operations.BigInt.Companion.ZERO as I0
|
||||
|
||||
// TODO: Move to corresponding module "kmath-number-theory"
|
||||
|
||||
/**
|
||||
* Computes [Greatest Common Divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) of [a] and [b].
|
||||
*
|
||||
* It's computed by [Euclidean algorithm](https://en.wikipedia.org/wiki/Greatest_common_divisor#Euclidean_algorithm).
|
||||
* Hence, its time complexity is $$O(\log(a+b))$$ (see [Wolfram MathWorld](https://mathworld.wolfram.com/EuclideanAlgorithm.html)).
|
||||
*/
|
||||
public tailrec fun gcd(a: BigInt, b: BigInt): BigInt = if (a == I0) abs(b) else gcd(b % a, a)
|
||||
|
||||
/**
|
||||
* Computes [Greatest Common Divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) of the [values].
|
||||
*/
|
||||
public fun gcd(vararg values: BigInt): BigInt = values.reduce(::gcd)
|
||||
public fun gcd(values: Iterable<BigInt>): BigInt = values.reduce(::gcd)
|
||||
Loading…
Reference in New Issue
Block a user