Refactoring of KBigInteger
This commit is contained in:
parent
19d1459a55
commit
48cb683bc4
@ -26,45 +26,256 @@ object KBigIntegerRing: Ring<KBigInteger> {
|
|||||||
|
|
||||||
override fun multiply(a: KBigInteger, b: KBigInteger): KBigInteger = a.times(b)
|
override fun multiply(a: KBigInteger, b: KBigInteger): KBigInteger = a.times(b)
|
||||||
|
|
||||||
operator fun String.unaryPlus(): KBigInteger = KBigInteger(this)!!
|
operator fun String.unaryPlus(): KBigInteger = this.toKBigInteger()!!
|
||||||
|
|
||||||
operator fun String.unaryMinus(): KBigInteger = -KBigInteger(this)!!
|
operator fun String.unaryMinus(): KBigInteger = -this.toKBigInteger()!!
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
@kotlin.ExperimentalUnsignedTypes
|
@kotlin.ExperimentalUnsignedTypes
|
||||||
class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
class KBigInteger internal constructor(
|
||||||
RingElement<KBigInteger, KBigInteger, KBigIntegerRing>, Comparable<KBigInteger> {
|
private val sign: Byte = 0,
|
||||||
|
private val magnitude: Magnitude = Magnitude(0)
|
||||||
|
): Comparable<KBigInteger> {
|
||||||
|
|
||||||
constructor(x: Int) : this(x.sign, uintArrayOf(kotlin.math.abs(x).toUInt()))
|
constructor(x: Int) : this(x.sign.toByte(), uintArrayOf(kotlin.math.abs(x).toUInt()))
|
||||||
constructor(x: Long) : this(x.sign, uintArrayOf(
|
|
||||||
|
constructor(x: Long) : this(x.sign.toByte(), stripLeadingZeros(uintArrayOf(
|
||||||
(kotlin.math.abs(x).toULong() and BASE).toUInt(),
|
(kotlin.math.abs(x).toULong() and BASE).toUInt(),
|
||||||
((kotlin.math.abs(x).toULong() shr BASE_SIZE) and BASE).toUInt()))
|
((kotlin.math.abs(x).toULong() shr BASE_SIZE) and BASE).toUInt())))
|
||||||
|
|
||||||
val magnitude = stripLeadingZeros(magnitude)
|
override fun compareTo(other: KBigInteger): Int {
|
||||||
val sign = if (this.magnitude.isNotEmpty()) sign else 0
|
return when {
|
||||||
val sizeByte: Int = magnitude.size * BASE_SIZE / 4
|
(this.sign == 0.toByte()) and (other.sign == 0.toByte()) -> 0
|
||||||
|
this.sign < other.sign -> -1
|
||||||
|
this.sign > other.sign -> 1
|
||||||
|
else -> this.sign * compareMagnitudes(this.magnitude, other.magnitude)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
override val context: KBigIntegerRing get() = KBigIntegerRing
|
override fun equals(other: Any?): Boolean {
|
||||||
|
if (other is KBigInteger) {
|
||||||
|
return this.compareTo(other) == 0
|
||||||
|
}
|
||||||
|
else error("Can't compare KBigInteger to a different type")
|
||||||
|
}
|
||||||
|
|
||||||
override fun unwrap(): KBigInteger = this
|
override fun hashCode(): Int {
|
||||||
override fun KBigInteger.wrap(): KBigInteger = this
|
return magnitude.hashCode() + this.sign
|
||||||
|
}
|
||||||
|
|
||||||
|
fun abs(): KBigInteger = if (sign == 0.toByte()) this else KBigInteger(1, magnitude)
|
||||||
|
|
||||||
|
operator fun unaryMinus(): KBigInteger {
|
||||||
|
return if (this.sign == 0.toByte()) this else KBigInteger((-this.sign).toByte(), this.magnitude)
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun plus(b: KBigInteger): KBigInteger {
|
||||||
|
return when {
|
||||||
|
b.sign == 0.toByte() -> this
|
||||||
|
this.sign == 0.toByte() -> b
|
||||||
|
this == -b -> ZERO
|
||||||
|
this.sign == b.sign -> KBigInteger(this.sign, addMagnitudes(this.magnitude, b.magnitude))
|
||||||
|
else -> {
|
||||||
|
val comp: Int = compareMagnitudes(this.magnitude, b.magnitude)
|
||||||
|
|
||||||
|
if (comp == 1) {
|
||||||
|
KBigInteger(this.sign, subtractMagnitudes(this.magnitude, b.magnitude))
|
||||||
|
} else {
|
||||||
|
KBigInteger((-this.sign).toByte(), subtractMagnitudes(b.magnitude, this.magnitude))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun minus(b: KBigInteger): KBigInteger {
|
||||||
|
return this + (-b)
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun times(b: KBigInteger): KBigInteger {
|
||||||
|
return when {
|
||||||
|
this.sign == 0.toByte() -> ZERO
|
||||||
|
b.sign == 0.toByte() -> ZERO
|
||||||
|
// TODO: Karatsuba
|
||||||
|
else -> KBigInteger((this.sign * b.sign).toByte(), multiplyMagnitudes(this.magnitude, b.magnitude))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun times(other: UInt): KBigInteger {
|
||||||
|
return when {
|
||||||
|
this.sign == 0.toByte() -> ZERO
|
||||||
|
other == 0U -> ZERO
|
||||||
|
else -> KBigInteger(this.sign, multiplyMagnitudeByUInt(this.magnitude, other))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun times(other: Int): KBigInteger {
|
||||||
|
return if (other > 0)
|
||||||
|
this * kotlin.math.abs(other).toUInt()
|
||||||
|
else
|
||||||
|
-this * kotlin.math.abs(other).toUInt()
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun div(other: UInt): KBigInteger {
|
||||||
|
return KBigInteger(this.sign, divideMagnitudeByUInt(this.magnitude, other))
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun div(other: Int): KBigInteger {
|
||||||
|
return KBigInteger((this.sign * other.sign).toByte(),
|
||||||
|
divideMagnitudeByUInt(this.magnitude, kotlin.math.abs(other).toUInt()))
|
||||||
|
}
|
||||||
|
|
||||||
|
private fun division(other: KBigInteger): Pair<KBigInteger, KBigInteger> {
|
||||||
|
// Long division algorithm:
|
||||||
|
// https://en.wikipedia.org/wiki/Division_algorithm#Integer_division_(unsigned)_with_remainder
|
||||||
|
// TODO: Implement more effective algorithm
|
||||||
|
var q: KBigInteger = ZERO
|
||||||
|
var r: KBigInteger = ZERO
|
||||||
|
|
||||||
|
val bitSize = (BASE_SIZE * (this.magnitude.size - 1) + log2(this.magnitude.last().toFloat() + 1)).toInt()
|
||||||
|
for (i in bitSize downTo 0) {
|
||||||
|
r = r shl 1
|
||||||
|
r = r or ((abs(this) shr i) and ONE)
|
||||||
|
if (r >= abs(other)) {
|
||||||
|
r -= abs(other)
|
||||||
|
q += (ONE shl i)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return Pair(KBigInteger((this.sign * other.sign).toByte(), q.magnitude), r)
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun div(other: KBigInteger): KBigInteger {
|
||||||
|
return this.division(other).first
|
||||||
|
}
|
||||||
|
|
||||||
|
infix fun shl(i: Int): KBigInteger {
|
||||||
|
if (this == ZERO) return ZERO
|
||||||
|
if (i == 0) return this
|
||||||
|
|
||||||
|
val fullShifts = i / BASE_SIZE + 1
|
||||||
|
val relShift = i % BASE_SIZE
|
||||||
|
val shiftLeft = {x: UInt -> if (relShift >= 32) 0U else x shl relShift}
|
||||||
|
val shiftRight = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shr (BASE_SIZE - relShift)}
|
||||||
|
|
||||||
|
val newMagnitude: Magnitude = Magnitude(this.magnitude.size + fullShifts)
|
||||||
|
|
||||||
|
for (j in this.magnitude.indices) {
|
||||||
|
newMagnitude[j + fullShifts - 1] = shiftLeft(this.magnitude[j])
|
||||||
|
if (j != 0) {
|
||||||
|
newMagnitude[j + fullShifts - 1] = newMagnitude[j + fullShifts - 1] or shiftRight(this.magnitude[j - 1])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
newMagnitude[this.magnitude.size + fullShifts - 1] = shiftRight(this.magnitude.last())
|
||||||
|
|
||||||
|
return KBigInteger(this.sign, stripLeadingZeros(newMagnitude))
|
||||||
|
}
|
||||||
|
|
||||||
|
infix fun shr(i: Int): KBigInteger {
|
||||||
|
if (this == ZERO) return ZERO
|
||||||
|
if (i == 0) return this
|
||||||
|
|
||||||
|
val fullShifts = i / BASE_SIZE
|
||||||
|
val relShift = i % BASE_SIZE
|
||||||
|
val shiftRight = {x: UInt -> if (relShift >= 32) 0U else x shr relShift}
|
||||||
|
val shiftLeft = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shl (BASE_SIZE - relShift)}
|
||||||
|
if (this.magnitude.size - fullShifts <= 0) {
|
||||||
|
return ZERO
|
||||||
|
}
|
||||||
|
val newMagnitude: Magnitude = Magnitude(this.magnitude.size - fullShifts)
|
||||||
|
|
||||||
|
for (j in fullShifts until this.magnitude.size) {
|
||||||
|
newMagnitude[j - fullShifts] = shiftRight(this.magnitude[j])
|
||||||
|
if (j != this.magnitude.size - 1) {
|
||||||
|
newMagnitude[j - fullShifts] = newMagnitude[j - fullShifts] or shiftLeft(this.magnitude[j + 1])
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return KBigInteger(this.sign, stripLeadingZeros(newMagnitude))
|
||||||
|
}
|
||||||
|
|
||||||
|
infix fun or(other: KBigInteger): KBigInteger {
|
||||||
|
if (this == ZERO) return other;
|
||||||
|
if (other == ZERO) return this;
|
||||||
|
val resSize = max(this.magnitude.size, other.magnitude.size)
|
||||||
|
val newMagnitude: Magnitude = Magnitude(resSize)
|
||||||
|
for (i in 0 until resSize) {
|
||||||
|
if (i < this.magnitude.size) {
|
||||||
|
newMagnitude[i] = newMagnitude[i] or this.magnitude[i]
|
||||||
|
}
|
||||||
|
if (i < other.magnitude.size) {
|
||||||
|
newMagnitude[i] = newMagnitude[i] or other.magnitude[i]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
return KBigInteger(1, stripLeadingZeros(newMagnitude))
|
||||||
|
}
|
||||||
|
|
||||||
|
infix fun and(other: KBigInteger): KBigInteger {
|
||||||
|
if ((this == ZERO) or (other == ZERO)) return ZERO;
|
||||||
|
val resSize = min(this.magnitude.size, other.magnitude.size)
|
||||||
|
val newMagnitude: Magnitude = Magnitude(resSize)
|
||||||
|
for (i in 0 until resSize) {
|
||||||
|
newMagnitude[i] = this.magnitude[i] and other.magnitude[i]
|
||||||
|
}
|
||||||
|
return KBigInteger(1, stripLeadingZeros(newMagnitude))
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun rem(other: Int): Int {
|
||||||
|
val res = this - (this / other) * other
|
||||||
|
return if (res == ZERO) 0 else res.sign * res.magnitude[0].toInt()
|
||||||
|
}
|
||||||
|
|
||||||
|
operator fun rem(other: KBigInteger): KBigInteger {
|
||||||
|
return this - (this / other) * other
|
||||||
|
}
|
||||||
|
|
||||||
|
fun modPow(exponent: KBigInteger, m: KBigInteger): KBigInteger {
|
||||||
|
return when {
|
||||||
|
exponent == ZERO -> ONE
|
||||||
|
exponent % 2 == 1 -> (this * modPow(exponent - ONE, m)) % m
|
||||||
|
else -> {
|
||||||
|
val sqRoot = modPow(exponent / 2, m)
|
||||||
|
(sqRoot * sqRoot) % m
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
override fun toString(): String {
|
||||||
|
if (this.sign == 0.toByte()) {
|
||||||
|
return "0x0"
|
||||||
|
}
|
||||||
|
var res: String = if (this.sign == (-1).toByte()) "-0x" else "0x"
|
||||||
|
var numberStarted = false
|
||||||
|
|
||||||
|
for (i in this.magnitude.size - 1 downTo 0) {
|
||||||
|
for (j in BASE_SIZE / 4 - 1 downTo 0) {
|
||||||
|
val curByte = (this.magnitude[i] shr 4 * j) and 0xfU
|
||||||
|
if (numberStarted or (curByte != 0U)) {
|
||||||
|
numberStarted = true
|
||||||
|
res += hexMapping[curByte]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return res
|
||||||
|
}
|
||||||
|
|
||||||
companion object {
|
companion object {
|
||||||
val BASE = 0xffffffffUL
|
const val BASE = 0xffffffffUL
|
||||||
const val BASE_SIZE: Int = 32
|
const val BASE_SIZE: Int = 32
|
||||||
val ZERO: KBigInteger = KBigInteger()
|
val ZERO: KBigInteger = KBigInteger()
|
||||||
val ONE: KBigInteger = KBigInteger(1)
|
val ONE: KBigInteger = KBigInteger(1)
|
||||||
|
|
||||||
private val hexMapping: HashMap<UInt, String> =
|
private val hexMapping: HashMap<UInt, String> =
|
||||||
hashMapOf(
|
hashMapOf(
|
||||||
0U to "0", 1U to "1", 2U to "2", 3U to "3", 4U to "4", 5U to "5", 6U to "6", 7U to "7", 8U to "8",
|
0U to "0", 1U to "1", 2U to "2", 3U to "3",
|
||||||
9U to "9", 10U to "a", 11U to "b", 12U to "c", 13U to "d", 14U to "e", 15U to "f"
|
4U to "4", 5U to "5", 6U to "6", 7U to "7",
|
||||||
|
8U to "8", 9U to "9", 10U to "a", 11U to "b",
|
||||||
|
12U to "c", 13U to "d", 14U to "e", 15U to "f"
|
||||||
)
|
)
|
||||||
|
|
||||||
private fun stripLeadingZeros(mag: Magnitude): Magnitude {
|
internal fun stripLeadingZeros(mag: Magnitude): Magnitude {
|
||||||
// TODO: optimize performance
|
if (mag.isEmpty() || mag.last() != 0U) {
|
||||||
if (mag.isEmpty()) {
|
|
||||||
return mag
|
return mag
|
||||||
}
|
}
|
||||||
var resSize: Int = mag.size - 1
|
var resSize: Int = mag.size - 1
|
||||||
@ -108,7 +319,7 @@ class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
|||||||
carry = (res shr BASE_SIZE)
|
carry = (res shr BASE_SIZE)
|
||||||
}
|
}
|
||||||
result[resultLength - 1] = carry.toUInt()
|
result[resultLength - 1] = carry.toUInt()
|
||||||
return result
|
return stripLeadingZeros(result)
|
||||||
}
|
}
|
||||||
|
|
||||||
private fun subtractMagnitudes(mag1: Magnitude, mag2: Magnitude): Magnitude {
|
private fun subtractMagnitudes(mag1: Magnitude, mag2: Magnitude): Magnitude {
|
||||||
@ -127,7 +338,7 @@ class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
|||||||
result[i] = res.toUInt()
|
result[i] = res.toUInt()
|
||||||
}
|
}
|
||||||
|
|
||||||
return result
|
return stripLeadingZeros(result)
|
||||||
}
|
}
|
||||||
|
|
||||||
private fun multiplyMagnitudeByUInt(mag: Magnitude, x: UInt): Magnitude {
|
private fun multiplyMagnitudeByUInt(mag: Magnitude, x: UInt): Magnitude {
|
||||||
@ -142,7 +353,7 @@ class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
|||||||
}
|
}
|
||||||
result[resultLength - 1] = (carry and BASE).toUInt()
|
result[resultLength - 1] = (carry and BASE).toUInt()
|
||||||
|
|
||||||
return result
|
return stripLeadingZeros(result)
|
||||||
}
|
}
|
||||||
|
|
||||||
private fun multiplyMagnitudes(mag1: Magnitude, mag2: Magnitude): Magnitude {
|
private fun multiplyMagnitudes(mag1: Magnitude, mag2: Magnitude): Magnitude {
|
||||||
@ -159,7 +370,7 @@ class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
|||||||
result[i + mag2.size] = (carry and BASE).toUInt()
|
result[i + mag2.size] = (carry and BASE).toUInt()
|
||||||
}
|
}
|
||||||
|
|
||||||
return result
|
return stripLeadingZeros(result)
|
||||||
}
|
}
|
||||||
|
|
||||||
private fun divideMagnitudeByUInt(mag: Magnitude, x: UInt): Magnitude {
|
private fun divideMagnitudeByUInt(mag: Magnitude, x: UInt): Magnitude {
|
||||||
@ -172,230 +383,15 @@ class KBigInteger(sign: Int = 0, magnitude: Magnitude = Magnitude(0)):
|
|||||||
result[i] = (cur / x).toUInt()
|
result[i] = (cur / x).toUInt()
|
||||||
carry = cur % x
|
carry = cur % x
|
||||||
}
|
}
|
||||||
return result
|
return stripLeadingZeros(result)
|
||||||
}
|
}
|
||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
override fun compareTo(other: KBigInteger): Int {
|
|
||||||
return when {
|
|
||||||
(this.sign == 0) and (other.sign == 0) -> 0
|
|
||||||
this.sign < other.sign -> -1
|
|
||||||
this.sign > other.sign -> 1
|
|
||||||
else -> this.sign * compareMagnitudes(this.magnitude, other.magnitude)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
override fun equals(other: Any?): Boolean {
|
|
||||||
if (other is KBigInteger) {
|
|
||||||
return this.compareTo(other) == 0
|
|
||||||
}
|
|
||||||
else error("Can't compare KBigInteger to a different type")
|
|
||||||
}
|
|
||||||
|
|
||||||
override fun hashCode(): Int {
|
|
||||||
return magnitude.hashCode() + this.sign
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun unaryMinus(): KBigInteger {
|
|
||||||
return if (this.sign == 0) this else KBigInteger(-this.sign, this.magnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
override operator fun plus(b: KBigInteger): KBigInteger {
|
|
||||||
return when {
|
|
||||||
b.sign == 0 -> this
|
|
||||||
this.sign == 0 -> b
|
|
||||||
this == -b -> ZERO
|
|
||||||
this.sign == b.sign -> KBigInteger(this.sign, addMagnitudes(this.magnitude, b.magnitude))
|
|
||||||
else -> {
|
|
||||||
val comp: Int = compareMagnitudes(this.magnitude, b.magnitude)
|
|
||||||
|
|
||||||
if (comp == 1) {
|
|
||||||
KBigInteger(this.sign, subtractMagnitudes(this.magnitude, b.magnitude))
|
|
||||||
} else {
|
|
||||||
KBigInteger(-this.sign, subtractMagnitudes(b.magnitude, this.magnitude))
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
override operator fun minus(b: KBigInteger): KBigInteger {
|
|
||||||
return this + (-b)
|
|
||||||
}
|
|
||||||
|
|
||||||
override operator fun times(b: KBigInteger): KBigInteger {
|
|
||||||
return when {
|
|
||||||
this.sign == 0 -> ZERO
|
|
||||||
b.sign == 0 -> ZERO
|
|
||||||
// TODO: Karatsuba
|
|
||||||
else -> KBigInteger(this.sign * b.sign, multiplyMagnitudes(this.magnitude, b.magnitude))
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun times(other: UInt): KBigInteger {
|
|
||||||
return when {
|
|
||||||
this.sign == 0 -> ZERO
|
|
||||||
other == 0U -> ZERO
|
|
||||||
else -> KBigInteger(this.sign, multiplyMagnitudeByUInt(this.magnitude, other))
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun times(other: Int): KBigInteger {
|
|
||||||
return if (other > 0)
|
|
||||||
this * kotlin.math.abs(other).toUInt()
|
|
||||||
else
|
|
||||||
-this * kotlin.math.abs(other).toUInt()
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun div(other: UInt): KBigInteger {
|
|
||||||
return KBigInteger(this.sign, divideMagnitudeByUInt(this.magnitude, other))
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun div(other: Int): KBigInteger {
|
|
||||||
return KBigInteger(this.sign * other.sign, divideMagnitudeByUInt(this.magnitude, kotlin.math.abs(other).toUInt()))
|
|
||||||
}
|
|
||||||
|
|
||||||
private fun division(other: KBigInteger): Pair<KBigInteger, KBigInteger> {
|
|
||||||
// Long division algorithm:
|
|
||||||
// https://en.wikipedia.org/wiki/Division_algorithm#Integer_division_(unsigned)_with_remainder
|
|
||||||
// TODO: Implement more effective algorithm
|
|
||||||
var q: KBigInteger = ZERO
|
|
||||||
var r: KBigInteger = ZERO
|
|
||||||
|
|
||||||
val bitSize = (BASE_SIZE * (this.magnitude.size - 1) + log2(this.magnitude.last().toFloat() + 1)).toInt()
|
|
||||||
for (i in bitSize downTo 0) {
|
|
||||||
r = r shl 1
|
|
||||||
r = r or ((abs(this) shr i) and ONE)
|
|
||||||
if (r >= abs(other)) {
|
|
||||||
r -= abs(other)
|
|
||||||
q += (ONE shl i)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return Pair(KBigInteger(this.sign * other.sign, q.magnitude), r)
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun div(other: KBigInteger): KBigInteger {
|
|
||||||
return this.division(other).first
|
|
||||||
}
|
|
||||||
|
|
||||||
infix fun shl(i: Int): KBigInteger {
|
|
||||||
if (this == ZERO) return ZERO
|
|
||||||
if (i == 0) return this
|
|
||||||
|
|
||||||
val fullShifts = i / BASE_SIZE + 1
|
|
||||||
val relShift = i % BASE_SIZE
|
|
||||||
val shiftLeft = {x: UInt -> if (relShift >= 32) 0U else x shl relShift}
|
|
||||||
val shiftRight = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shr (BASE_SIZE - relShift)}
|
|
||||||
|
|
||||||
val newMagnitude: Magnitude = Magnitude(this.magnitude.size + fullShifts)
|
|
||||||
|
|
||||||
for (j in this.magnitude.indices) {
|
|
||||||
newMagnitude[j + fullShifts - 1] = shiftLeft(this.magnitude[j])
|
|
||||||
if (j != 0) {
|
|
||||||
newMagnitude[j + fullShifts - 1] = newMagnitude[j + fullShifts - 1] or shiftRight(this.magnitude[j - 1])
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
newMagnitude[this.magnitude.size + fullShifts - 1] = shiftRight(this.magnitude.last())
|
|
||||||
|
|
||||||
return KBigInteger(this.sign, newMagnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
infix fun shr(i: Int): KBigInteger {
|
|
||||||
if (this == ZERO) return ZERO
|
|
||||||
if (i == 0) return this
|
|
||||||
|
|
||||||
val fullShifts = i / BASE_SIZE
|
|
||||||
val relShift = i % BASE_SIZE
|
|
||||||
val shiftRight = {x: UInt -> if (relShift >= 32) 0U else x shr relShift}
|
|
||||||
val shiftLeft = {x: UInt -> if (BASE_SIZE - relShift >= 32) 0U else x shl (BASE_SIZE - relShift)}
|
|
||||||
if (this.magnitude.size - fullShifts <= 0) {
|
|
||||||
return ZERO
|
|
||||||
}
|
|
||||||
val newMagnitude: Magnitude = Magnitude(this.magnitude.size - fullShifts)
|
|
||||||
|
|
||||||
for (j in fullShifts until this.magnitude.size) {
|
|
||||||
newMagnitude[j - fullShifts] = shiftRight(this.magnitude[j])
|
|
||||||
if (j != this.magnitude.size - 1) {
|
|
||||||
newMagnitude[j - fullShifts] = newMagnitude[j - fullShifts] or shiftLeft(this.magnitude[j + 1])
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return KBigInteger(this.sign, newMagnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
infix fun or(other: KBigInteger): KBigInteger {
|
|
||||||
if (this == ZERO) return other;
|
|
||||||
if (other == ZERO) return this;
|
|
||||||
val resSize = max(this.magnitude.size, other.magnitude.size)
|
|
||||||
val newMagnitude: Magnitude = Magnitude(resSize)
|
|
||||||
for (i in 0 until resSize) {
|
|
||||||
if (i < this.magnitude.size) {
|
|
||||||
newMagnitude[i] = newMagnitude[i] or this.magnitude[i]
|
|
||||||
}
|
|
||||||
if (i < other.magnitude.size) {
|
|
||||||
newMagnitude[i] = newMagnitude[i] or other.magnitude[i]
|
|
||||||
}
|
|
||||||
}
|
|
||||||
return KBigInteger(1, newMagnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
infix fun and(other: KBigInteger): KBigInteger {
|
|
||||||
if ((this == ZERO) or (other == ZERO)) return ZERO;
|
|
||||||
val resSize = min(this.magnitude.size, other.magnitude.size)
|
|
||||||
val newMagnitude: Magnitude = Magnitude(resSize)
|
|
||||||
for (i in 0 until resSize) {
|
|
||||||
newMagnitude[i] = this.magnitude[i] and other.magnitude[i]
|
|
||||||
}
|
|
||||||
return KBigInteger(1, newMagnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun rem(other: Int): Int {
|
|
||||||
val res = this - (this / other) * other
|
|
||||||
return if (res == ZERO) 0 else res.sign * res.magnitude[0].toInt()
|
|
||||||
}
|
|
||||||
|
|
||||||
operator fun rem(other: KBigInteger): KBigInteger {
|
|
||||||
return this - (this / other) * other
|
|
||||||
}
|
|
||||||
|
|
||||||
fun modPow(exponent: KBigInteger, m: KBigInteger): KBigInteger {
|
|
||||||
return when {
|
|
||||||
exponent == ZERO -> ONE
|
|
||||||
exponent % 2 == 1 -> (this * modPow(exponent - ONE, m)) % m
|
|
||||||
else -> {
|
|
||||||
val sqRoot = modPow(exponent / 2, m)
|
|
||||||
(sqRoot * sqRoot) % m
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
override fun toString(): String {
|
|
||||||
if (this.sign == 0) {
|
|
||||||
return "0x0"
|
|
||||||
}
|
|
||||||
var res: String = if (this.sign == -1) "-0x" else "0x"
|
|
||||||
var numberStarted = false
|
|
||||||
|
|
||||||
for (i in this.magnitude.size - 1 downTo 0) {
|
|
||||||
for (j in BASE_SIZE / 4 - 1 downTo 0) {
|
|
||||||
val curByte = (this.magnitude[i] shr 4 * j) and 0xfU
|
|
||||||
if (numberStarted or (curByte != 0U)) {
|
|
||||||
numberStarted = true
|
|
||||||
res += hexMapping[curByte]
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return res
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@kotlin.ExperimentalUnsignedTypes
|
@kotlin.ExperimentalUnsignedTypes
|
||||||
fun abs(x: KBigInteger): KBigInteger {
|
fun abs(x: KBigInteger): KBigInteger = x.abs()
|
||||||
return if (x.sign == 0) x else KBigInteger(1, x.magnitude)
|
|
||||||
}
|
|
||||||
|
|
||||||
@kotlin.ExperimentalUnsignedTypes
|
@kotlin.ExperimentalUnsignedTypes
|
||||||
// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Int)
|
// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Int)
|
||||||
@ -405,26 +401,35 @@ fun KBigInteger(x: UInt): KBigInteger
|
|||||||
@kotlin.ExperimentalUnsignedTypes
|
@kotlin.ExperimentalUnsignedTypes
|
||||||
// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Long)
|
// Can't put it as constructor in class due to platform declaration clash with KBigInteger(Long)
|
||||||
fun KBigInteger(x: ULong): KBigInteger
|
fun KBigInteger(x: ULong): KBigInteger
|
||||||
= KBigInteger(1, uintArrayOf((x and KBigInteger.BASE).toUInt(), ((x shr KBigInteger.BASE_SIZE) and KBigInteger.BASE).toUInt()))
|
= KBigInteger(1,
|
||||||
|
KBigInteger.stripLeadingZeros(uintArrayOf(
|
||||||
|
(x and KBigInteger.BASE).toUInt(),
|
||||||
|
((x shr KBigInteger.BASE_SIZE) and KBigInteger.BASE).toUInt())
|
||||||
|
)
|
||||||
|
)
|
||||||
|
|
||||||
val hexChToInt = hashMapOf('0' to 0, '1' to 1, '2' to 2, '3' to 3, '4' to 4, '5' to 5, '6' to 6, '7' to 7,
|
val hexChToInt = hashMapOf(
|
||||||
'8' to 8, '9' to 9, 'A' to 10, 'B' to 11, 'C' to 12, 'D' to 13, 'E' to 14, 'F' to 15)
|
'0' to 0, '1' to 1, '2' to 2, '3' to 3,
|
||||||
|
'4' to 4, '5' to 5, '6' to 6, '7' to 7,
|
||||||
|
'8' to 8, '9' to 9, 'A' to 10, 'B' to 11,
|
||||||
|
'C' to 12, 'D' to 13, 'E' to 14, 'F' to 15
|
||||||
|
)
|
||||||
|
|
||||||
// Returns None if a valid number can not be read from a string
|
// Returns None if a valid number can not be read from a string
|
||||||
fun KBigInteger(s: String): KBigInteger? {
|
fun String.toKBigInteger(): KBigInteger? {
|
||||||
val sign: Int
|
val sign: Int
|
||||||
val sPositive: String
|
val sPositive: String
|
||||||
when {
|
when {
|
||||||
s[0] == '+' -> {
|
this[0] == '+' -> {
|
||||||
sign = +1
|
sign = +1
|
||||||
sPositive = s.substring(1)
|
sPositive = this.substring(1)
|
||||||
}
|
}
|
||||||
s[0] == '-' -> {
|
this[0] == '-' -> {
|
||||||
sign = -1
|
sign = -1
|
||||||
sPositive = s.substring(1)
|
sPositive = this.substring(1)
|
||||||
}
|
}
|
||||||
else -> {
|
else -> {
|
||||||
sPositive = s
|
sPositive = this
|
||||||
sign = +1
|
sign = +1
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
@ -485,13 +485,13 @@ class KBigIntegerConversionsTest {
|
|||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun testFromString_0x17ead2ffffd11223344() {
|
fun testFromString_0x17ead2ffffd11223344() {
|
||||||
val x = KBigInteger("0x17ead2ffffd11223344")!!
|
val x = "0x17ead2ffffd11223344".toKBigInteger()
|
||||||
assertEquals( "0x17ead2ffffd11223344", x.toString())
|
assertEquals( "0x17ead2ffffd11223344", x.toString())
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun testFromString_7059135710711894913860() {
|
fun testFromString_7059135710711894913860() {
|
||||||
val x = KBigInteger("-7059135710711894913860")
|
val x = "-7059135710711894913860".toKBigInteger()
|
||||||
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
assertEquals("-0x17ead2ffffd11223344", x.toString())
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
@ -509,7 +509,7 @@ class KBigIntegerRingTest {
|
|||||||
fun testKBigIntegerRingSum_100_000_000__100_000_000() {
|
fun testKBigIntegerRingSum_100_000_000__100_000_000() {
|
||||||
KBigIntegerRing {
|
KBigIntegerRing {
|
||||||
val sum = +"100_000_000" + +"100_000_000"
|
val sum = +"100_000_000" + +"100_000_000"
|
||||||
assertEquals(sum, KBigInteger("200_000_000"))
|
assertEquals(sum, "200_000_000".toKBigInteger())
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -517,7 +517,7 @@ class KBigIntegerRingTest {
|
|||||||
fun test_mul_3__4() {
|
fun test_mul_3__4() {
|
||||||
KBigIntegerRing {
|
KBigIntegerRing {
|
||||||
val prod = +"0x3000_0000_0000" * +"0x4000_0000_0000_0000_0000"
|
val prod = +"0x3000_0000_0000" * +"0x4000_0000_0000_0000_0000"
|
||||||
assertEquals(prod, KBigInteger("0xc00_0000_0000_0000_0000_0000_0000_0000"))
|
assertEquals(prod, "0xc00_0000_0000_0000_0000_0000_0000_0000".toKBigInteger())
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
Loading…
Reference in New Issue
Block a user