kone.polynomial/dev.lounres.kone.polynomial/MultivariatePolynomialSpaceOfFractions

MultivariatePolynomialSpaceOfFractions

abstract class MultivariatePolynomialSpaceOfFractions<Number, Variable, Polynomial, RationalFunctionType : RationalFunction<Polynomial>> : PolynomialSpaceOfFractions<Number, Polynomial, RationalFunctionType> , MultivariateRationalFunctionSpace<Number, Variable, Polynomial, RationalFunctionType> (source)

Inheritors

LabeledRationalFunctionSpace

Constructors

constructor()

Properties

denominatorDegree

abstract val RationalFunctionType.denominatorDegree: UInt

labeledPolynomialSpace

val <C> Field<C>.labeledPolynomialSpace: LabeledPolynomialSpaceOverField<C>

val <C> Ring<C>.labeledPolynomialSpace: LabeledPolynomialSpace<C>

listPolynomialSpace

val <Number> Field<Number>.listPolynomialSpace: ListPolynomialSpaceOverField<Number>

Creates a ListPolynomialSpaceOverField over a received field.

val <Number> Ring<Number>.listPolynomialSpace: ListPolynomialSpace<Number>

Creates a ListPolynomialSpace over a received ring.

numberOfVariables

open val RationalFunctionType.numberOfVariables: UInt

numeratorDegree

abstract val RationalFunctionType.numeratorDegree: UInt

one

abstract val one: RationalFunctionType

rationalFunctionOne

open val rationalFunctionOne: RationalFunctionType

rationalFunctionValue

@get:JvmName(name = "rationalFunctionValueVariable")

override val Variable.rationalFunctionValue: RationalFunctionType

@get:JvmName(name = "rationalFunctionValueNumber")

open val Number.rationalFunctionValue: RationalFunctionType

@get:JvmName(name = "rationalFunctionValuePolynomial")

open val Polynomial.rationalFunctionValue: RationalFunctionType

open val Int.rationalFunctionValue: RationalFunctionType

open val Long.rationalFunctionValue: RationalFunctionType

open val UInt.rationalFunctionValue: RationalFunctionType

open val ULong.rationalFunctionValue: RationalFunctionType

rationalFunctionZero

open val rationalFunctionZero: RationalFunctionType

reciprocal

open val RationalFunctionType.reciprocal: RationalFunctionType

value

open val Int.value: RationalFunctionType

open val Long.value: RationalFunctionType

open val UInt.value: RationalFunctionType

open val ULong.value: RationalFunctionType

variables

override val RationalFunctionType.variables: KoneSet<Variable>

zero

abstract val zero: RationalFunctionType

Functions

div

abstract operator fun RationalFunctionType.div(other: RationalFunctionType): RationalFunctionType

open operator fun RationalFunctionType.div(other: Int): RationalFunctionType

open operator fun RationalFunctionType.div(other: Long): RationalFunctionType

open operator fun RationalFunctionType.div(other: UInt): RationalFunctionType

open operator fun RationalFunctionType.div(other: ULong): RationalFunctionType

open operator fun Int.div(other: RationalFunctionType): RationalFunctionType

open operator fun Long.div(other: RationalFunctionType): RationalFunctionType

open operator fun UInt.div(other: RationalFunctionType): RationalFunctionType

open operator fun ULong.div(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "divRationalVariable")

operator override fun RationalFunctionType.div(other: Variable): RationalFunctionType

@JvmName(name = "divVariableRational")

operator override fun Variable.div(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "divRationalNumber")

abstract operator fun RationalFunctionType.div(other: Number): RationalFunctionType

@JvmName(name = "divRationalPolynomial")

abstract operator fun RationalFunctionType.div(other: Polynomial): RationalFunctionType

@JvmName(name = "divNumberRational")

abstract operator fun Number.div(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "divPolynomialRational")

abstract operator fun Polynomial.div(other: RationalFunctionType): RationalFunctionType

abstract operator fun Polynomial.div(other: Polynomial): RationalFunctionType

equalsTo

open infix fun RationalFunctionType.equalsTo(other: RationalFunctionType): Boolean

isNotOne

open fun RationalFunctionType.isNotOne(): Boolean

isNotZero

open fun RationalFunctionType.isNotZero(): Boolean

isOne

open fun RationalFunctionType.isOne(): Boolean

isZero

open fun RationalFunctionType.isZero(): Boolean

minus

abstract operator fun RationalFunctionType.minus(other: RationalFunctionType): RationalFunctionType

open operator fun RationalFunctionType.minus(other: Int): RationalFunctionType

open operator fun RationalFunctionType.minus(other: Long): RationalFunctionType

open operator fun RationalFunctionType.minus(other: UInt): RationalFunctionType

open operator fun RationalFunctionType.minus(other: ULong): RationalFunctionType

open operator fun Int.minus(other: RationalFunctionType): RationalFunctionType

open operator fun Long.minus(other: RationalFunctionType): RationalFunctionType

open operator fun UInt.minus(other: RationalFunctionType): RationalFunctionType

open operator fun ULong.minus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "minusRationalVariable")

operator override fun RationalFunctionType.minus(other: Variable): RationalFunctionType

@JvmName(name = "minusVariableRational")

operator override fun Variable.minus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "minusRationalNumber")

abstract operator fun RationalFunctionType.minus(other: Number): RationalFunctionType

@JvmName(name = "minusRationalPolynomial")

abstract operator fun RationalFunctionType.minus(other: Polynomial): RationalFunctionType

@JvmName(name = "minusNumberRational")

abstract operator fun Number.minus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "minusPolynomialRational")

abstract operator fun Polynomial.minus(other: RationalFunctionType): RationalFunctionType

plus

open operator fun RationalFunctionType.plus(other: Int): RationalFunctionType

open operator fun RationalFunctionType.plus(other: Long): RationalFunctionType

open operator fun Int.plus(other: RationalFunctionType): RationalFunctionType

open operator fun Long.plus(other: RationalFunctionType): RationalFunctionType

abstract operator fun RationalFunctionType.plus(other: RationalFunctionType): RationalFunctionType

open operator fun RationalFunctionType.plus(other: UInt): RationalFunctionType

open operator fun RationalFunctionType.plus(other: ULong): RationalFunctionType

open operator fun UInt.plus(other: RationalFunctionType): RationalFunctionType

open operator fun ULong.plus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "plusRationalVariable")

operator override fun RationalFunctionType.plus(other: Variable): RationalFunctionType

@JvmName(name = "plusVariableRational")

operator override fun Variable.plus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "plusRationalNumber")

abstract operator fun RationalFunctionType.plus(other: Number): RationalFunctionType

@JvmName(name = "plusRationalPolynomial")

abstract operator fun RationalFunctionType.plus(other: Polynomial): RationalFunctionType

@JvmName(name = "plusNumberRational")

abstract operator fun Number.plus(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "plusPolynomialRational")

abstract operator fun Polynomial.plus(other: RationalFunctionType): RationalFunctionType

pow

open infix fun RationalFunctionType.pow(exponent: Int): RationalFunctionType

open infix fun RationalFunctionType.pow(exponent: Long): RationalFunctionType

open infix fun RationalFunctionType.pow(exponent: UInt): RationalFunctionType

open infix fun RationalFunctionType.pow(exponent: ULong): RationalFunctionType

power

open fun power(base: RationalFunctionType, exponent: Int): RationalFunctionType

open fun power(base: RationalFunctionType, exponent: Long): RationalFunctionType

open fun power(base: RationalFunctionType, exponent: UInt): RationalFunctionType

open fun power(base: RationalFunctionType, exponent: ULong): RationalFunctionType

rationalFunctionValueOf

@JvmName(name = "rationalFunctionValueOfVariable")

override fun rationalFunctionValueOf(variable: Variable): RationalFunctionType

@JvmName(name = "rationalFunctionValueOfNumber")

abstract fun rationalFunctionValueOf(value: Number): RationalFunctionType

@JvmName(name = "rationalFunctionValueOfPolynomial")

abstract fun rationalFunctionValueOf(value: Polynomial): RationalFunctionType

open fun rationalFunctionValueOf(value: Int): RationalFunctionType

open fun rationalFunctionValueOf(value: Long): RationalFunctionType

open fun rationalFunctionValueOf(value: UInt): RationalFunctionType

open fun rationalFunctionValueOf(value: ULong): RationalFunctionType

times

open operator fun RationalFunctionType.times(other: Int): RationalFunctionType

open operator fun RationalFunctionType.times(other: Long): RationalFunctionType

open operator fun Int.times(other: RationalFunctionType): RationalFunctionType

open operator fun Long.times(other: RationalFunctionType): RationalFunctionType

abstract operator fun RationalFunctionType.times(other: RationalFunctionType): RationalFunctionType

open operator fun RationalFunctionType.times(other: UInt): RationalFunctionType

open operator fun RationalFunctionType.times(other: ULong): RationalFunctionType

open operator fun UInt.times(other: RationalFunctionType): RationalFunctionType

open operator fun ULong.times(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "timesRationalVariable")

operator override fun RationalFunctionType.times(other: Variable): RationalFunctionType

@JvmName(name = "timesVariableRational")

operator override fun Variable.times(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "timesRationalNumber")

abstract operator fun RationalFunctionType.times(other: Number): RationalFunctionType

@JvmName(name = "timesRationalPolynomial")

abstract operator fun RationalFunctionType.times(other: Polynomial): RationalFunctionType

@JvmName(name = "timesNumberRational")

abstract operator fun Number.times(other: RationalFunctionType): RationalFunctionType

@JvmName(name = "timesPolynomialRational")

abstract operator fun Polynomial.times(other: RationalFunctionType): RationalFunctionType

unaryMinus

abstract operator fun RationalFunctionType.unaryMinus(): RationalFunctionType

valueOf

abstract override fun valueOf(value: Int): RationalFunctionType

abstract override fun valueOf(value: Long): RationalFunctionType

abstract override fun valueOf(value: UInt): RationalFunctionType

abstract override fun valueOf(value: ULong): RationalFunctionType