BigInt refactoring
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@ -2,7 +2,7 @@ plugins {
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id("scientifik.publish") version "0.4.2" apply false
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}
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val kmathVersion by extra("0.1.4-dev-3")
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val kmathVersion by extra("0.1.4-dev-4")
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val bintrayRepo by extra("scientifik")
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val githubProject by extra("kmath")
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@ -1,49 +1,45 @@
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package scientifik.kmath.operations
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import scientifik.kmath.operations.BigInt.Companion.BASE
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import scientifik.kmath.operations.BigInt.Companion.BASE_SIZE
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import kotlin.math.log2
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import kotlin.math.max
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import kotlin.math.min
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import kotlin.math.sign
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/*
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* Kotlin Multiplatform implementation of Big Integer numbers (KBigInteger).
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* Initial version from https://github.com/robdrynkin/kotlin-big-integer
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*/
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@kotlin.ExperimentalUnsignedTypes
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typealias Magnitude = UIntArray
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@kotlin.ExperimentalUnsignedTypes
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typealias TBase = ULong
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object KBigIntegerRing: Ring<KBigInteger> {
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override val zero: KBigInteger = KBigInteger.ZERO
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override val one: KBigInteger = KBigInteger.ONE
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/**
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* Kotlin Multiplatform implementation of Big Integer numbers (KBigInteger).
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*
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* @author Robert Drynkin (https://github.com/robdrynkin) and Peter Klimai (https://github.com/pklimai)
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*/
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object BigIntField : Field<BigInt> {
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override val zero: BigInt = BigInt.ZERO
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override val one: BigInt = BigInt.ONE
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override fun add(a: KBigInteger, b: KBigInteger): KBigInteger = a.plus(b)
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override fun add(a: BigInt, b: BigInt): BigInt = a.plus(b)
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override fun multiply(a: KBigInteger, k: Number): KBigInteger = a.times(k.toLong())
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override fun multiply(a: BigInt, k: Number): BigInt = a.times(k.toLong())
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override fun multiply(a: KBigInteger, b: KBigInteger): KBigInteger = a.times(b)
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override fun multiply(a: BigInt, b: BigInt): BigInt = a.times(b)
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operator fun String.unaryPlus(): KBigInteger = this.toKBigInteger()!!
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operator fun String.unaryPlus(): BigInt = this.parseBigInteger() ?: error("Can't parse $this as big integer")
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operator fun String.unaryMinus(): KBigInteger = -this.toKBigInteger()!!
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operator fun String.unaryMinus(): BigInt =
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-(this.parseBigInteger() ?: error("Can't parse $this as big integer"))
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override fun divide(a: BigInt, b: BigInt): BigInt = a.div(b)
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}
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@kotlin.ExperimentalUnsignedTypes
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class KBigInteger internal constructor(
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private val sign: Byte = 0,
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private val magnitude: Magnitude = Magnitude(0)
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): Comparable<KBigInteger> {
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class BigInt internal constructor(
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private val sign: Byte,
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private val magnitude: Magnitude
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) : Comparable<BigInt> {
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constructor(x: Int) : this(x.sign.toByte(), uintArrayOf(kotlin.math.abs(x).toUInt()))
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constructor(x: Long) : this(x.sign.toByte(), stripLeadingZeros(uintArrayOf(
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(kotlin.math.abs(x).toULong() and BASE).toUInt(),
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((kotlin.math.abs(x).toULong() shr BASE_SIZE) and BASE).toUInt())))
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override fun compareTo(other: KBigInteger): Int {
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override fun compareTo(other: BigInt): Int {
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return when {
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(this.sign == 0.toByte()) and (other.sign == 0.toByte()) -> 0
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this.sign < other.sign -> -1
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@ -53,85 +49,87 @@ class KBigInteger internal constructor(
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}
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override fun equals(other: Any?): Boolean {
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if (other is KBigInteger) {
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if (other is BigInt) {
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return this.compareTo(other) == 0
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}
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else error("Can't compare KBigInteger to a different type")
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} else error("Can't compare KBigInteger to a different type")
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}
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override fun hashCode(): Int {
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return magnitude.hashCode() + this.sign
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}
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fun abs(): KBigInteger = if (sign == 0.toByte()) this else KBigInteger(1, magnitude)
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fun abs(): BigInt = if (sign == 0.toByte()) this else BigInt(1, magnitude)
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operator fun unaryMinus(): KBigInteger {
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return if (this.sign == 0.toByte()) this else KBigInteger((-this.sign).toByte(), this.magnitude)
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operator fun unaryMinus(): BigInt {
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return if (this.sign == 0.toByte()) this else BigInt((-this.sign).toByte(), this.magnitude)
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}
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operator fun plus(b: KBigInteger): KBigInteger {
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operator fun plus(b: BigInt): BigInt {
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return when {
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b.sign == 0.toByte() -> this
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this.sign == 0.toByte() -> b
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this == -b -> ZERO
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this.sign == b.sign -> KBigInteger(this.sign, addMagnitudes(this.magnitude, b.magnitude))
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this.sign == b.sign -> BigInt(this.sign, addMagnitudes(this.magnitude, b.magnitude))
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else -> {
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val comp: Int = compareMagnitudes(this.magnitude, b.magnitude)
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if (comp == 1) {
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KBigInteger(this.sign, subtractMagnitudes(this.magnitude, b.magnitude))
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BigInt(this.sign, subtractMagnitudes(this.magnitude, b.magnitude))
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} else {
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KBigInteger((-this.sign).toByte(), subtractMagnitudes(b.magnitude, this.magnitude))
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BigInt((-this.sign).toByte(), subtractMagnitudes(b.magnitude, this.magnitude))
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}
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}
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}
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}
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operator fun minus(b: KBigInteger): KBigInteger {
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operator fun minus(b: BigInt): BigInt {
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return this + (-b)
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}
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operator fun times(b: KBigInteger): KBigInteger {
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operator fun times(b: BigInt): BigInt {
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return when {
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this.sign == 0.toByte() -> ZERO
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b.sign == 0.toByte() -> ZERO
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// TODO: Karatsuba
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else -> KBigInteger((this.sign * b.sign).toByte(), multiplyMagnitudes(this.magnitude, b.magnitude))
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else -> BigInt((this.sign * b.sign).toByte(), multiplyMagnitudes(this.magnitude, b.magnitude))
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}
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}
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operator fun times(other: UInt): KBigInteger {
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operator fun times(other: UInt): BigInt {
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return when {
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this.sign == 0.toByte() -> ZERO
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other == 0U -> ZERO
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else -> KBigInteger(this.sign, multiplyMagnitudeByUInt(this.magnitude, other))
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else -> BigInt(this.sign, multiplyMagnitudeByUInt(this.magnitude, other))
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}
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}
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operator fun times(other: Int): KBigInteger {
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operator fun times(other: Int): BigInt {
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return if (other > 0)
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this * kotlin.math.abs(other).toUInt()
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else
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-this * kotlin.math.abs(other).toUInt()
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}
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operator fun div(other: UInt): KBigInteger {
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return KBigInteger(this.sign, divideMagnitudeByUInt(this.magnitude, other))
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operator fun div(other: UInt): BigInt {
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return BigInt(this.sign, divideMagnitudeByUInt(this.magnitude, other))
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}
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operator fun div(other: Int): KBigInteger {
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return KBigInteger((this.sign * other.sign).toByte(),
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divideMagnitudeByUInt(this.magnitude, kotlin.math.abs(other).toUInt()))
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operator fun div(other: Int): BigInt {
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return BigInt(
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(this.sign * other.sign).toByte(),
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divideMagnitudeByUInt(this.magnitude, kotlin.math.abs(other).toUInt())
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)
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}
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private fun division(other: KBigInteger): Pair<KBigInteger, KBigInteger> {
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private fun division(other: BigInt): Pair<BigInt, BigInt> {
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// Long division algorithm:
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// https://en.wikipedia.org/wiki/Division_algorithm#Integer_division_(unsigned)_with_remainder
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// TODO: Implement more effective algorithm
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var q: KBigInteger = ZERO
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var r: KBigInteger = ZERO
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var q: BigInt = ZERO
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var r: BigInt = ZERO
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val bitSize = (BASE_SIZE * (this.magnitude.size - 1) + log2(this.magnitude.last().toFloat() + 1)).toInt()
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val bitSize =
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(BASE_SIZE * (this.magnitude.size - 1) + log2(this.magnitude.lastOrNull()?.toFloat() ?: 0f + 1)).toInt()
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for (i in bitSize downTo 0) {
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r = r shl 1
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r = r or ((abs(this) shr i) and ONE)
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@ -141,21 +139,21 @@ class KBigInteger internal constructor(
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}
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}
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return Pair(KBigInteger((this.sign * other.sign).toByte(), q.magnitude), r)
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return Pair(BigInt((this.sign * other.sign).toByte(), q.magnitude), r)
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}
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operator fun div(other: KBigInteger): KBigInteger {
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operator fun div(other: BigInt): BigInt {
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return this.division(other).first
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}
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infix fun shl(i: Int): KBigInteger {
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infix fun shl(i: Int): BigInt {
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if (this == ZERO) return ZERO
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if (i == 0) return this
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val fullShifts = i / BASE_SIZE + 1
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val relShift = i % BASE_SIZE
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val shiftLeft = {x: UInt -> if (relShift >= 32) 0U else x shl relShift}
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val shiftRight = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shr (BASE_SIZE - relShift)}
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val shiftLeft = { x: UInt -> if (relShift >= 32) 0U else x shl relShift }
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val shiftRight = { x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shr (BASE_SIZE - relShift) }
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val newMagnitude: Magnitude = Magnitude(this.magnitude.size + fullShifts)
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@ -168,17 +166,17 @@ class KBigInteger internal constructor(
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newMagnitude[this.magnitude.size + fullShifts - 1] = shiftRight(this.magnitude.last())
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return KBigInteger(this.sign, stripLeadingZeros(newMagnitude))
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return BigInt(this.sign, stripLeadingZeros(newMagnitude))
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}
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infix fun shr(i: Int): KBigInteger {
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infix fun shr(i: Int): BigInt {
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if (this == ZERO) return ZERO
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if (i == 0) return this
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val fullShifts = i / BASE_SIZE
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val relShift = i % BASE_SIZE
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val shiftRight = {x: UInt -> if (relShift >= 32) 0U else x shr relShift}
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val shiftLeft = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shl (BASE_SIZE - relShift)}
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val shiftRight = { x: UInt -> if (relShift >= 32) 0U else x shr relShift }
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val shiftLeft = { x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shl (BASE_SIZE - relShift) }
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if (this.magnitude.size - fullShifts <= 0) {
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return ZERO
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}
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@ -191,10 +189,10 @@ class KBigInteger internal constructor(
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}
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}
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return KBigInteger(this.sign, stripLeadingZeros(newMagnitude))
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return BigInt(this.sign, stripLeadingZeros(newMagnitude))
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}
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infix fun or(other: KBigInteger): KBigInteger {
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infix fun or(other: BigInt): BigInt {
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if (this == ZERO) return other;
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if (other == ZERO) return this;
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val resSize = max(this.magnitude.size, other.magnitude.size)
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@ -207,17 +205,17 @@ class KBigInteger internal constructor(
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newMagnitude[i] = newMagnitude[i] or other.magnitude[i]
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}
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}
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return KBigInteger(1, stripLeadingZeros(newMagnitude))
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return BigInt(1, stripLeadingZeros(newMagnitude))
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}
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infix fun and(other: KBigInteger): KBigInteger {
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infix fun and(other: BigInt): BigInt {
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if ((this == ZERO) or (other == ZERO)) return ZERO;
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val resSize = min(this.magnitude.size, other.magnitude.size)
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val newMagnitude: Magnitude = Magnitude(resSize)
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for (i in 0 until resSize) {
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newMagnitude[i] = this.magnitude[i] and other.magnitude[i]
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}
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return KBigInteger(1, stripLeadingZeros(newMagnitude))
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return BigInt(1, stripLeadingZeros(newMagnitude))
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}
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operator fun rem(other: Int): Int {
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@ -225,11 +223,11 @@ class KBigInteger internal constructor(
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return if (res == ZERO) 0 else res.sign * res.magnitude[0].toInt()
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}
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operator fun rem(other: KBigInteger): KBigInteger {
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operator fun rem(other: BigInt): BigInt {
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return this - (this / other) * other
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}
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fun modPow(exponent: KBigInteger, m: KBigInteger): KBigInteger {
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fun modPow(exponent: BigInt, m: BigInt): BigInt {
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return when {
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exponent == ZERO -> ONE
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exponent % 2 == 1 -> (this * modPow(exponent - ONE, m)) % m
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@ -263,30 +261,16 @@ class KBigInteger internal constructor(
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companion object {
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const val BASE = 0xffffffffUL
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const val BASE_SIZE: Int = 32
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val ZERO: KBigInteger = KBigInteger()
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val ONE: KBigInteger = KBigInteger(1)
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val ZERO: BigInt = BigInt(0, uintArrayOf())
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val ONE: BigInt = BigInt(1, uintArrayOf(1u))
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private val hexMapping: HashMap<UInt, String> =
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hashMapOf(
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private val hexMapping: HashMap<UInt, String> = hashMapOf(
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0U to "0", 1U to "1", 2U to "2", 3U to "3",
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4U to "4", 5U to "5", 6U to "6", 7U to "7",
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8U to "8", 9U to "9", 10U to "a", 11U to "b",
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12U to "c", 13U to "d", 14U to "e", 15U to "f"
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)
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internal fun stripLeadingZeros(mag: Magnitude): Magnitude {
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if (mag.isEmpty() || mag.last() != 0U) {
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return mag
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}
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var resSize: Int = mag.size - 1
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while (mag[resSize] == 0U) {
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if (resSize == 0)
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break
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resSize -= 1
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}
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return mag.sliceArray(IntRange(0, resSize))
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}
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private fun compareMagnitudes(mag1: Magnitude, mag2: Magnitude): Int {
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when {
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mag1.size > mag2.size -> return 1
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@ -390,23 +374,64 @@ class KBigInteger internal constructor(
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}
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@kotlin.ExperimentalUnsignedTypes
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fun abs(x: KBigInteger): KBigInteger = x.abs()
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@kotlin.ExperimentalUnsignedTypes
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// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Int)
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fun KBigInteger(x: UInt): KBigInteger
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= KBigInteger(1, uintArrayOf(x))
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private fun stripLeadingZeros(mag: Magnitude): Magnitude {
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if (mag.isEmpty() || mag.last() != 0U) {
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return mag
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}
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var resSize: Int = mag.size - 1
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while (mag[resSize] == 0U) {
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if (resSize == 0)
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break
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resSize -= 1
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}
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return mag.sliceArray(IntRange(0, resSize))
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}
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@kotlin.ExperimentalUnsignedTypes
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// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Long)
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fun KBigInteger(x: ULong): KBigInteger
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= KBigInteger(1,
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KBigInteger.stripLeadingZeros(uintArrayOf(
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(x and KBigInteger.BASE).toUInt(),
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((x shr KBigInteger.BASE_SIZE) and KBigInteger.BASE).toUInt())
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fun abs(x: BigInt): BigInt = x.abs()
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/**
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* Convert this [Int] to [BigInt]
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*/
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fun Int.toBigInt() = BigInt(sign.toByte(), uintArrayOf(kotlin.math.abs(this).toUInt()))
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/**
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* Convert this [Long] to [BigInt]
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*/
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fun Long.toBigInt() = BigInt(
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sign.toByte(), stripLeadingZeros(
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uintArrayOf(
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(kotlin.math.abs(this).toULong() and BASE).toUInt(),
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((kotlin.math.abs(this).toULong() shr BASE_SIZE) and BASE).toUInt()
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)
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)
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)
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/**
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* Convert UInt to [BigInt]
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*/
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fun UInt.toBigInt() = BigInt(1, uintArrayOf(this))
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/**
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* Convert ULong to [BigInt]
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*/
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fun ULong.toBigInt() = BigInt(
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1,
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stripLeadingZeros(
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uintArrayOf(
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(this and BigInt.BASE).toUInt(),
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((this shr BigInt.BASE_SIZE) and BigInt.BASE).toUInt()
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)
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)
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)
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/**
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* Create a [BigInt] with this array of magnitudes with protective copy
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*/
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fun UIntArray.toBigInt(sign: Byte): BigInt {
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if (sign == 0.toByte() && isNotEmpty()) error("")
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return BigInt(sign, this.copyOf())
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}
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val hexChToInt = hashMapOf(
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'0' to 0, '1' to 1, '2' to 2, '3' to 3,
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@ -415,8 +440,10 @@ val hexChToInt = hashMapOf(
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'C' to 12, 'D' to 13, 'E' to 14, 'F' to 15
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)
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// Returns None if a valid number can not be read from a string
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fun String.toKBigInteger(): KBigInteger? {
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/**
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* Returns null if a valid number can not be read from a string
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*/
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fun String.parseBigInteger(): BigInt? {
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val sign: Int
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val sPositive: String
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when {
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@ -433,26 +460,24 @@ fun String.toKBigInteger(): KBigInteger? {
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sign = +1
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}
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}
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var res = KBigInteger.ZERO
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var digitValue = KBigInteger.ONE
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var res = BigInt.ZERO
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var digitValue = BigInt.ONE
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val sPositiveUpper = sPositive.toUpperCase()
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if (sPositiveUpper.startsWith("0X")) { // hex representation
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val sHex = sPositiveUpper.substring(2)
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for (ch in sHex.reversed()) {
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||||
if (ch == '_') continue
|
||||
res += digitValue * (hexChToInt[ch] ?: return null)
|
||||
digitValue *= KBigInteger(16)
|
||||
digitValue *= 16.toBigInt()
|
||||
}
|
||||
}
|
||||
else { // decimal representation
|
||||
val sDecimal = sPositiveUpper
|
||||
for (ch in sDecimal.reversed()) {
|
||||
} else { // decimal representation
|
||||
for (ch in sPositiveUpper.reversed()) {
|
||||
if (ch == '_') continue
|
||||
if (ch !in '0'..'9') {
|
||||
return null
|
||||
}
|
||||
res += digitValue * (ch.toInt() - '0'.toInt())
|
||||
digitValue *= KBigInteger(10)
|
||||
digitValue *= 10.toBigInt()
|
||||
}
|
||||
}
|
||||
return res * sign
|
||||
@ -0,0 +1,50 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
class BigIntAlgebraTest {
|
||||
@Test
|
||||
fun testKBigIntegerRingSum() {
|
||||
val res = BigIntField {
|
||||
1_000L.toBigInt() * 1_000L.toBigInt()
|
||||
}
|
||||
assertEquals(res, 1_000_000.toBigInt())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testKBigIntegerRingSum_100_000_000__100_000_000() {
|
||||
BigIntField {
|
||||
val sum = +"100_000_000" + +"100_000_000"
|
||||
assertEquals(sum, "200_000_000".parseBigInteger())
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_mul_3__4() {
|
||||
BigIntField {
|
||||
val prod = +"0x3000_0000_0000" * +"0x4000_0000_0000_0000_0000"
|
||||
assertEquals(prod, "0xc00_0000_0000_0000_0000_0000_0000_0000".parseBigInteger())
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_div_big_1() {
|
||||
BigIntField {
|
||||
val res = +"1_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000" /
|
||||
+"555_000_444_000_333_000_222_000_111_000_999_001"
|
||||
assertEquals(res, +"1801800360360432432518919022699")
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_rem_big_1() {
|
||||
BigIntField {
|
||||
val res = +"1_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000" %
|
||||
+"555_000_444_000_333_000_222_000_111_000_999_001"
|
||||
assertEquals(res, +"324121220440768000291647788404676301")
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
@ -0,0 +1,26 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
class BigIntConstructorTest {
|
||||
@Test
|
||||
fun testConstructorZero() {
|
||||
assertEquals(0.toBigInt(), uintArrayOf().toBigInt(0))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testConstructor8() {
|
||||
assertEquals(
|
||||
8.toBigInt(),
|
||||
uintArrayOf(8U).toBigInt(1)
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testConstructor_0xffffffffaL() {
|
||||
val x = -0xffffffffaL.toBigInt()
|
||||
val y = uintArrayOf(0xfffffffaU, 0xfU).toBigInt(-1)
|
||||
assertEquals(x, y)
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,43 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class BigIntConversionsTest {
|
||||
@Test
|
||||
fun testToString0x10() {
|
||||
val x = 0x10.toBigInt()
|
||||
assertEquals("0x10", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString0x17ffffffd() {
|
||||
val x = 0x17ffffffdL.toBigInt()
|
||||
assertEquals("0x17ffffffd", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString_0x17ead2ffffd() {
|
||||
val x = -0x17ead2ffffdL.toBigInt()
|
||||
assertEquals("-0x17ead2ffffd", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString_0x17ead2ffffd11223344() {
|
||||
val x = uintArrayOf(0x11223344U, 0xad2ffffdU, 0x17eU).toBigInt(-1)
|
||||
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testFromString_0x17ead2ffffd11223344() {
|
||||
val x = "0x17ead2ffffd11223344".parseBigInteger()
|
||||
assertEquals("0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testFromString_7059135710711894913860() {
|
||||
val x = "-7059135710711894913860".parseBigInteger()
|
||||
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
}
|
||||
@ -0,0 +1,381 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class BigIntOperationsTest {
|
||||
@Test
|
||||
fun testPlus_1_1() {
|
||||
val x = 1.toBigInt()
|
||||
val y = 1.toBigInt()
|
||||
|
||||
val res = x + y
|
||||
val sum = 2.toBigInt()
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testPlusBigNumbers() {
|
||||
val x = 0x7fffffff.toBigInt()
|
||||
val y = 0x7fffffff.toBigInt()
|
||||
val z = 0x7fffffff.toBigInt()
|
||||
|
||||
val res = x + y + z
|
||||
val sum = uintArrayOf(0x7ffffffdU, 0x1U).toBigInt(1)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testUnaryMinus() {
|
||||
val x = 1234.toBigInt()
|
||||
val y = -1234.toBigInt()
|
||||
assertEquals(-x, y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus_2_1() {
|
||||
val x = 2.toBigInt()
|
||||
val y = 1.toBigInt()
|
||||
|
||||
val res = x - y
|
||||
val sum = 1.toBigInt()
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus__2_1() {
|
||||
val x = -2.toBigInt()
|
||||
val y = 1.toBigInt()
|
||||
|
||||
val res = x - y
|
||||
val sum = -3.toBigInt()
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus___2_1() {
|
||||
val x = -2.toBigInt()
|
||||
val y = 1.toBigInt()
|
||||
|
||||
val res = -x - y
|
||||
val sum = 1.toBigInt()
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinusBigNumbers() {
|
||||
val x = 12345.toBigInt()
|
||||
val y = 0xffffffffaL.toBigInt()
|
||||
|
||||
val res = x - y
|
||||
val sum = -0xfffffcfc1L.toBigInt()
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_2_3() {
|
||||
val x = 2.toBigInt()
|
||||
val y = 3.toBigInt()
|
||||
|
||||
val res = x * y
|
||||
val prod = 6.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply__2_3() {
|
||||
val x = -2.toBigInt()
|
||||
val y = 3.toBigInt()
|
||||
|
||||
val res = x * y
|
||||
val prod = -6.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_0xfff123_0xfff456() {
|
||||
val x = 0xfff123.toBigInt()
|
||||
val y = 0xfff456.toBigInt()
|
||||
|
||||
val res = x * y
|
||||
val prod = 0xffe579ad5dc2L.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiplyUInt_0xfff123_0xfff456() {
|
||||
val x = 0xfff123.toBigInt()
|
||||
val y = 0xfff456U
|
||||
|
||||
val res = x * y
|
||||
val prod = 0xffe579ad5dc2L.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiplyInt_0xfff123__0xfff456() {
|
||||
val x = 0xfff123.toBigInt()
|
||||
val y = -0xfff456
|
||||
|
||||
val res = x * y
|
||||
val prod = -0xffe579ad5dc2L.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_0xffffffff_0xffffffff() {
|
||||
val x = 0xffffffffL.toBigInt()
|
||||
val y = 0xffffffffL.toBigInt()
|
||||
|
||||
val res = x * y
|
||||
val prod = 0xfffffffe00000001UL.toBigInt()
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_20() {
|
||||
val x = 20.toBigInt()
|
||||
assertEquals(10.toBigInt(), x shr 1)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_20() {
|
||||
val x = 20.toBigInt()
|
||||
assertEquals(40.toBigInt(), x shl 1)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_0() {
|
||||
assertEquals(
|
||||
BigInt.ONE,
|
||||
BigInt.ONE shl 0
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_32() {
|
||||
assertEquals(
|
||||
0x100000000UL.toBigInt(),
|
||||
BigInt.ONE shl 32
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_33() {
|
||||
assertEquals(
|
||||
0x200000000UL.toBigInt(),
|
||||
BigInt.ONE shl 33
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_1_33_33() {
|
||||
assertEquals(
|
||||
BigInt.ONE,
|
||||
(BigInt.ONE shl 33) shr 33
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_1_32() {
|
||||
assertEquals(
|
||||
BigInt.ZERO,
|
||||
BigInt.ONE shr 32
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_and_123_456() {
|
||||
val x = 123.toBigInt()
|
||||
val y = 456.toBigInt()
|
||||
assertEquals(72.toBigInt(), x and y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_or_123_456() {
|
||||
val x = 123.toBigInt()
|
||||
val y = 456.toBigInt()
|
||||
assertEquals(507.toBigInt(), x or y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_asd() {
|
||||
assertEquals(
|
||||
BigInt.ONE,
|
||||
BigInt.ZERO or ((20.toBigInt() shr 4) and BigInt.ONE)
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_square_0x11223344U_0xad2ffffdU_0x17eU() {
|
||||
val num =
|
||||
uintArrayOf(0x11223344U, 0xad2ffffdU, 0x17eU).toBigInt(-1)
|
||||
println(num)
|
||||
val res = num * num
|
||||
assertEquals(
|
||||
res,
|
||||
uintArrayOf(0xb0542a10U, 0xbbd85bc8U, 0x2a1fa515U, 0x5069e03bU, 0x23c09U).toBigInt(1)
|
||||
)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_6_3() {
|
||||
val x = 6.toBigInt()
|
||||
val y = 3U
|
||||
|
||||
val res = x / y
|
||||
val div = 2.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_6_3() {
|
||||
val x = 6.toBigInt()
|
||||
val y = 3.toBigInt()
|
||||
|
||||
val res = x / y
|
||||
val div = 2.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_20__3() {
|
||||
val x = 20.toBigInt()
|
||||
val y = -3
|
||||
|
||||
val res = x / y
|
||||
val div = -6.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_20__3() {
|
||||
val x = 20.toBigInt()
|
||||
val y = -3.toBigInt()
|
||||
|
||||
val res = x / y
|
||||
val div = -6.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_0xfffffffe00000001_0xffffffff() {
|
||||
val x = 0xfffffffe00000001UL.toBigInt()
|
||||
val y = 0xffffffffU
|
||||
|
||||
val res = x / y
|
||||
val div = 0xffffffffL.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_0xfffffffeabcdef01UL_0xfffffffeabc() {
|
||||
val res = 0xfffffffeabcdef01UL.toBigInt() / 0xfffffffeabc.toBigInt()
|
||||
assertEquals(res, 0x100000.toBigInt())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_0xfffffffe00000001_0xffffffff() {
|
||||
val x = 0xfffffffe00000001UL.toBigInt()
|
||||
val y = 0xffffffffU.toBigInt()
|
||||
|
||||
val res = x / y
|
||||
val div = 0xffffffffL.toBigInt()
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMod_20_3() {
|
||||
val x = 20.toBigInt()
|
||||
val y = 3
|
||||
|
||||
val res = x % y
|
||||
val mod = 2
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigMod_20_3() {
|
||||
val x = 20.toBigInt()
|
||||
val y = 3.toBigInt()
|
||||
|
||||
val res = x % y
|
||||
val mod = 2.toBigInt()
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMod_0xfffffffe00000001_12345() {
|
||||
val x = 0xfffffffe00000001UL.toBigInt()
|
||||
val y = 12345
|
||||
|
||||
val res = x % y
|
||||
val mod = 1980
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigMod_0xfffffffe00000001_12345() {
|
||||
val x = 0xfffffffe00000001UL.toBigInt()
|
||||
val y = 12345.toBigInt()
|
||||
|
||||
val res = x % y
|
||||
val mod = 1980.toBigInt()
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModPow_3_10_17() {
|
||||
val x = 3.toBigInt()
|
||||
val exp = 10.toBigInt()
|
||||
val mod = 17.toBigInt()
|
||||
|
||||
val res = 8.toBigInt()
|
||||
|
||||
return assertEquals(res, x.modPow(exp, mod))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModPowBigNumbers() {
|
||||
val x = 0xfffffffeabcdef01UL.toBigInt()
|
||||
val exp = 2.toBigInt()
|
||||
val mod = 0xfffffffeabcUL.toBigInt()
|
||||
|
||||
val res = 0xc2253cde01.toBigInt()
|
||||
|
||||
return assertEquals(res, x.modPow(exp, mod))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModBigNumbers() {
|
||||
val x = 0xfffffffeabcdef01UL.toBigInt()
|
||||
val mod = 0xfffffffeabcUL.toBigInt()
|
||||
|
||||
val res = 0xdef01.toBigInt()
|
||||
|
||||
return assertEquals(res, x % mod)
|
||||
}
|
||||
}
|
||||
@ -1,543 +0,0 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertTrue
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class KBigIntegerConstructorTest {
|
||||
@Test
|
||||
fun testConstructorZero() {
|
||||
assertEquals(KBigInteger(0), KBigInteger(0, uintArrayOf()))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testConstructor8() {
|
||||
assertEquals(KBigInteger(8), KBigInteger(1, uintArrayOf(8U)))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testConstructor_0xffffffffaL() {
|
||||
val x = KBigInteger(-0xffffffffaL)
|
||||
val y = KBigInteger(-1, uintArrayOf(0xfffffffaU, 0xfU))
|
||||
assertEquals(x, y)
|
||||
}
|
||||
}
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class KBigIntegerCompareTest {
|
||||
@Test
|
||||
fun testCompare1_2() {
|
||||
val x = KBigInteger(1)
|
||||
val y = KBigInteger(2)
|
||||
assertTrue { x < y }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompare0_0() {
|
||||
val x = KBigInteger(0)
|
||||
val y = KBigInteger(0)
|
||||
assertEquals(x, y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompare1__2() {
|
||||
val x = KBigInteger(1)
|
||||
val y = KBigInteger(-2)
|
||||
assertTrue { x > y }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompare_1__2() {
|
||||
val x = KBigInteger(-1)
|
||||
val y = KBigInteger(-2)
|
||||
assertTrue { x > y }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompare_2__1() {
|
||||
val x = KBigInteger(-2)
|
||||
val y = KBigInteger(-1)
|
||||
assertTrue { x < y }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompare12345_12345() {
|
||||
val x = KBigInteger(12345)
|
||||
val y = KBigInteger(12345)
|
||||
assertEquals(x, y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testEqualsWithLong() {
|
||||
val x = KBigInteger(12345)
|
||||
assertTrue { x == KBigInteger(12345L) }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testEqualsWithULong() {
|
||||
val x = KBigInteger(12345)
|
||||
assertTrue { x == KBigInteger(12345UL) }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareBigNumbersGreater() {
|
||||
val x = KBigInteger(0xfffffffffL)
|
||||
val y = KBigInteger(0xffffffffaL)
|
||||
assertTrue { x > y }
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareBigNumbersEqual() {
|
||||
val x = KBigInteger(0xffffffffaL)
|
||||
val y = KBigInteger(0xffffffffaL)
|
||||
assertEquals(x, y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareBigNumbersLess() {
|
||||
val x = KBigInteger(-0xffffffffaL)
|
||||
val y = KBigInteger(0xffffffffaL)
|
||||
assertTrue { x < y }
|
||||
}
|
||||
}
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class KBigIntegerOperationsTest {
|
||||
@Test
|
||||
fun testPlus_1_1() {
|
||||
val x = KBigInteger(1)
|
||||
val y = KBigInteger(1)
|
||||
|
||||
val res = x + y
|
||||
val sum = KBigInteger(2)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testPlusBigNumbers() {
|
||||
val x = KBigInteger(0x7fffffff)
|
||||
val y = KBigInteger(0x7fffffff)
|
||||
val z = KBigInteger(0x7fffffff)
|
||||
|
||||
val res = x + y + z
|
||||
val sum = KBigInteger(1, uintArrayOf(0x7ffffffdU, 0x1U))
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testUnaryMinus() {
|
||||
val x = KBigInteger(1234)
|
||||
val y = KBigInteger(-1234)
|
||||
assertEquals(-x, y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus_2_1() {
|
||||
val x = KBigInteger(2)
|
||||
val y = KBigInteger(1)
|
||||
|
||||
val res = x - y
|
||||
val sum = KBigInteger(1)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus__2_1() {
|
||||
val x = KBigInteger(-2)
|
||||
val y = KBigInteger(1)
|
||||
|
||||
val res = x - y
|
||||
val sum = KBigInteger(-3)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinus___2_1() {
|
||||
val x = KBigInteger(-2)
|
||||
val y = KBigInteger(1)
|
||||
|
||||
val res = -x - y
|
||||
val sum = KBigInteger(1)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMinusBigNumbers() {
|
||||
val x = KBigInteger(12345)
|
||||
val y = KBigInteger(0xffffffffaL)
|
||||
|
||||
val res = x - y
|
||||
val sum = KBigInteger(-0xfffffcfc1L)
|
||||
|
||||
assertEquals(sum, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_2_3() {
|
||||
val x = KBigInteger(2)
|
||||
val y = KBigInteger(3)
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(6)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply__2_3() {
|
||||
val x = KBigInteger(-2)
|
||||
val y = KBigInteger(3)
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(-6)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_0xfff123_0xfff456() {
|
||||
val x = KBigInteger(0xfff123)
|
||||
val y = KBigInteger(0xfff456)
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(0xffe579ad5dc2L)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiplyUInt_0xfff123_0xfff456() {
|
||||
val x = KBigInteger(0xfff123)
|
||||
val y = 0xfff456U
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(0xffe579ad5dc2L)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiplyInt_0xfff123__0xfff456() {
|
||||
val x = KBigInteger(0xfff123)
|
||||
val y = -0xfff456
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(-0xffe579ad5dc2L)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMultiply_0xffffffff_0xffffffff() {
|
||||
val x = KBigInteger(0xffffffffL)
|
||||
val y = KBigInteger(0xffffffffL)
|
||||
|
||||
val res = x * y
|
||||
val prod = KBigInteger(0xfffffffe00000001UL)
|
||||
|
||||
assertEquals(prod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_20() {
|
||||
val x = KBigInteger(20)
|
||||
assertEquals(KBigInteger(10), x shr 1)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_20() {
|
||||
val x = KBigInteger(20)
|
||||
assertEquals(KBigInteger(40), x shl 1)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_0() {
|
||||
assertEquals(KBigInteger.ONE, KBigInteger.ONE shl 0)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_32() {
|
||||
assertEquals(KBigInteger(0x100000000UL), KBigInteger.ONE shl 32)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shl_1_33() {
|
||||
assertEquals(KBigInteger(0x200000000UL), KBigInteger.ONE shl 33)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_1_33_33() {
|
||||
assertEquals(KBigInteger.ONE, (KBigInteger.ONE shl 33) shr 33)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_shr_1_32() {
|
||||
assertEquals(KBigInteger.ZERO, KBigInteger.ONE shr 32)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_and_123_456() {
|
||||
val x = KBigInteger(123)
|
||||
val y = KBigInteger(456)
|
||||
assertEquals(KBigInteger(72), x and y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_or_123_456() {
|
||||
val x = KBigInteger(123)
|
||||
val y = KBigInteger(456)
|
||||
assertEquals(KBigInteger(507), x or y)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_asd() {
|
||||
assertEquals(KBigInteger.ONE, KBigInteger.ZERO or ((KBigInteger(20) shr 4) and KBigInteger.ONE))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_square_0x11223344U_0xad2ffffdU_0x17eU() {
|
||||
val num = KBigInteger(-1, uintArrayOf(0x11223344U, 0xad2ffffdU, 0x17eU ))
|
||||
println(num)
|
||||
val res = num * num
|
||||
assertEquals(res, KBigInteger(1, uintArrayOf(0xb0542a10U, 0xbbd85bc8U, 0x2a1fa515U, 0x5069e03bU, 0x23c09U)))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_6_3() {
|
||||
val x = KBigInteger(6)
|
||||
val y = 3U
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(2)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_6_3() {
|
||||
val x = KBigInteger(6)
|
||||
val y = KBigInteger(3)
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(2)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_20__3() {
|
||||
val x = KBigInteger(20)
|
||||
val y = -3
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(-6)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_20__3() {
|
||||
val x = KBigInteger(20)
|
||||
val y = KBigInteger(-3)
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(-6)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testDivision_0xfffffffe00000001_0xffffffff() {
|
||||
val x = KBigInteger(0xfffffffe00000001UL)
|
||||
val y = 0xffffffffU
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(0xffffffffL)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_0xfffffffeabcdef01UL_0xfffffffeabc() {
|
||||
val res = KBigInteger(0xfffffffeabcdef01UL) / KBigInteger(0xfffffffeabc)
|
||||
assertEquals(res, KBigInteger(0x100000))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigDivision_0xfffffffe00000001_0xffffffff() {
|
||||
val x = KBigInteger(0xfffffffe00000001UL)
|
||||
val y = KBigInteger(0xffffffffU)
|
||||
|
||||
val res = x / y
|
||||
val div = KBigInteger(0xffffffffL)
|
||||
|
||||
assertEquals(div, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMod_20_3() {
|
||||
val x = KBigInteger(20)
|
||||
val y = 3
|
||||
|
||||
val res = x % y
|
||||
val mod = 2
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigMod_20_3() {
|
||||
val x = KBigInteger(20)
|
||||
val y = KBigInteger(3)
|
||||
|
||||
val res = x % y
|
||||
val mod = KBigInteger(2)
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testMod_0xfffffffe00000001_12345() {
|
||||
val x = KBigInteger(0xfffffffe00000001UL)
|
||||
val y = 12345
|
||||
|
||||
val res = x % y
|
||||
val mod = 1980
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testBigMod_0xfffffffe00000001_12345() {
|
||||
val x = KBigInteger(0xfffffffe00000001UL)
|
||||
val y = KBigInteger(12345)
|
||||
|
||||
val res = x % y
|
||||
val mod = KBigInteger(1980)
|
||||
|
||||
assertEquals(mod, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModPow_3_10_17() {
|
||||
val x = KBigInteger(3)
|
||||
val exp = KBigInteger(10)
|
||||
val mod = KBigInteger(17)
|
||||
|
||||
val res = KBigInteger(8)
|
||||
|
||||
return assertEquals(res, x.modPow(exp, mod))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModPowBigNumbers() {
|
||||
val x = KBigInteger(0xfffffffeabcdef01UL)
|
||||
val exp = KBigInteger(2)
|
||||
val mod = KBigInteger(0xfffffffeabcUL)
|
||||
|
||||
val res = KBigInteger(0xc2253cde01)
|
||||
|
||||
return assertEquals(res, x.modPow(exp, mod))
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testModBigNumbers() {
|
||||
val x = KBigInteger(0xfffffffeabcdef01UL)
|
||||
val mod = KBigInteger(0xfffffffeabcUL)
|
||||
|
||||
val res = KBigInteger(0xdef01)
|
||||
|
||||
return assertEquals(res, x % mod)
|
||||
}
|
||||
}
|
||||
|
||||
@kotlin.ExperimentalUnsignedTypes
|
||||
class KBigIntegerConversionsTest {
|
||||
@Test
|
||||
fun testToString0x10() {
|
||||
val x = KBigInteger(0x10)
|
||||
assertEquals("0x10", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString0x17ffffffd() {
|
||||
val x = KBigInteger(0x17ffffffdL)
|
||||
assertEquals("0x17ffffffd", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString_0x17ead2ffffd() {
|
||||
val x = KBigInteger(-0x17ead2ffffdL)
|
||||
assertEquals("-0x17ead2ffffd", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testToString_0x17ead2ffffd11223344() {
|
||||
val x = KBigInteger(-1, uintArrayOf(0x11223344U, 0xad2ffffdU, 0x17eU ))
|
||||
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testFromString_0x17ead2ffffd11223344() {
|
||||
val x = "0x17ead2ffffd11223344".toKBigInteger()
|
||||
assertEquals( "0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testFromString_7059135710711894913860() {
|
||||
val x = "-7059135710711894913860".toKBigInteger()
|
||||
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
||||
}
|
||||
}
|
||||
|
||||
class KBigIntegerRingTest {
|
||||
@Test
|
||||
fun testKBigIntegerRingSum() {
|
||||
val res = KBigIntegerRing {
|
||||
KBigInteger(1_000L) * KBigInteger(1_000L)
|
||||
}
|
||||
assertEquals(res, KBigInteger(1_000_000) )
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testKBigIntegerRingSum_100_000_000__100_000_000() {
|
||||
KBigIntegerRing {
|
||||
val sum = +"100_000_000" + +"100_000_000"
|
||||
assertEquals(sum, "200_000_000".toKBigInteger())
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_mul_3__4() {
|
||||
KBigIntegerRing {
|
||||
val prod = +"0x3000_0000_0000" * +"0x4000_0000_0000_0000_0000"
|
||||
assertEquals(prod, "0xc00_0000_0000_0000_0000_0000_0000_0000".toKBigInteger())
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_div_big_1() {
|
||||
KBigIntegerRing {
|
||||
val res = +"1_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000" /
|
||||
+"555_000_444_000_333_000_222_000_111_000_999_001"
|
||||
assertEquals(res, +"1801800360360432432518919022699")
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
fun test_rem_big_1() {
|
||||
KBigIntegerRing {
|
||||
val res = +"1_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000" %
|
||||
+"555_000_444_000_333_000_222_000_111_000_999_001"
|
||||
assertEquals(res, +"324121220440768000291647788404676301")
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user