kone.polynomial/dev.lounres.kone.polynomial/ListRationalFunctionSpace

ListRationalFunctionSpace

open class ListRationalFunctionSpace<Number>(polynomialSpace: PolynomialSpace<Number, ListPolynomial<Number>>) : PolynomialSpaceOfFractions<Number, ListPolynomial<Number>, ListRationalFunction<Number>> (source)

Arithmetic context for univariate rational functions with numerator and denominator represented as ListPolynomials.

Parameters

Number

the type of constants. Polynomials have them a coefficients in their terms.

type of provided underlying ring of constants. It's Ring of Number.

Constructors

ListRationalFunctionSpace

constructor(polynomialSpace: PolynomialSpace<Number, ListPolynomial<Number>>)

Properties

denominatorDegree

override val ListRationalFunction<Number>.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.

numeratorDegree

override val ListRationalFunction<Number>.numeratorDegree: UInt

one

override val one: ListRationalFunction<Number>

rationalFunctionOne

open val rationalFunctionOne: ListRationalFunction<Number>

rationalFunctionValue

@get:JvmName(name = "rationalFunctionValueNumber")

open val Number.rationalFunctionValue: ListRationalFunction<Number>

@get:JvmName(name = "rationalFunctionValuePolynomial")

open val ListPolynomial<Number>.rationalFunctionValue: ListRationalFunction<Number>

open val Int.rationalFunctionValue: ListRationalFunction<Number>

open val Long.rationalFunctionValue: ListRationalFunction<Number>

open val UInt.rationalFunctionValue: ListRationalFunction<Number>

open val ULong.rationalFunctionValue: ListRationalFunction<Number>

rationalFunctionZero

open val rationalFunctionZero: ListRationalFunction<Number>

reciprocal

open val ListRationalFunction<Number>.reciprocal: ListRationalFunction<Number>

value

open val Int.value: ListRationalFunction<Number>

open val Long.value: ListRationalFunction<Number>

open val UInt.value: ListRationalFunction<Number>

open val ULong.value: ListRationalFunction<Number>

zero

override val zero: ListRationalFunction<Number>

Functions

div

@JvmName(name = "divNumberRational")

operator override fun Number.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "divPolynomialPolynomial")

operator override fun ListPolynomial<Number>.div(other: ListPolynomial<Number>): ListRationalFunction<Number>

@JvmName(name = "divPolynomialRational")

operator override fun ListPolynomial<Number>.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "divRationalNumber")

operator override fun ListRationalFunction<Number>.div(other: Number): ListRationalFunction<Number>

@JvmName(name = "divRationalPolynomial")

operator override fun ListRationalFunction<Number>.div(other: ListPolynomial<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.div(other: Int): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.div(other: Long): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.div(other: UInt): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.div(other: ULong): ListRationalFunction<Number>

operator override fun Int.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun Long.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun UInt.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ULong.div(other: ListRationalFunction<Number>): ListRationalFunction<Number>

equalsTo

open infix override fun ListRationalFunction<Number>.equalsTo(other: ListRationalFunction<Number>): Boolean

isNotOne

open fun ListRationalFunction<Number>.isNotOne(): Boolean

isNotZero

open fun ListRationalFunction<Number>.isNotZero(): Boolean

isOne

open override fun ListRationalFunction<Number>.isOne(): Boolean

isZero

open override fun ListRationalFunction<Number>.isZero(): Boolean

minus

@JvmName(name = "minusNumberRational")

operator override fun Number.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "minusPolynomialRational")

operator override fun ListPolynomial<Number>.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "minusRationalNumber")

operator override fun ListRationalFunction<Number>.minus(other: Number): ListRationalFunction<Number>

@JvmName(name = "minusRationalPolynomial")

operator override fun ListRationalFunction<Number>.minus(other: ListPolynomial<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.minus(other: Int): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.minus(other: Long): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.minus(other: UInt): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.minus(other: ULong): ListRationalFunction<Number>

operator override fun Int.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun Long.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun UInt.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ULong.minus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

plus

@JvmName(name = "plusNumberRational")

operator override fun Number.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "plusPolynomialRational")

operator override fun ListPolynomial<Number>.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "plusRationalNumber")

operator override fun ListRationalFunction<Number>.plus(other: Number): ListRationalFunction<Number>

@JvmName(name = "plusRationalPolynomial")

operator override fun ListRationalFunction<Number>.plus(other: ListPolynomial<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.plus(other: Int): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.plus(other: Long): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.plus(other: UInt): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.plus(other: ULong): ListRationalFunction<Number>

operator override fun Int.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun Long.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun UInt.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ULong.plus(other: ListRationalFunction<Number>): ListRationalFunction<Number>

pow

open infix fun ListRationalFunction<Number>.pow(exponent: Int): ListRationalFunction<Number>

open infix fun ListRationalFunction<Number>.pow(exponent: Long): ListRationalFunction<Number>

open infix fun ListRationalFunction<Number>.pow(exponent: UInt): ListRationalFunction<Number>

open infix fun ListRationalFunction<Number>.pow(exponent: ULong): ListRationalFunction<Number>

power

open fun power(base: ListRationalFunction<Number>, exponent: Int): ListRationalFunction<Number>

open fun power(base: ListRationalFunction<Number>, exponent: Long): ListRationalFunction<Number>

override fun power(base: ListRationalFunction<Number>, exponent: UInt): ListRationalFunction<Number>

override fun power(base: ListRationalFunction<Number>, exponent: ULong): ListRationalFunction<Number>

rationalFunctionValueOf

@JvmName(name = "rationalFunctionValueOfNumber")

override fun rationalFunctionValueOf(value: Number): ListRationalFunction<Number>

@JvmName(name = "rationalFunctionValueOfPolynomial")

override fun rationalFunctionValueOf(value: ListPolynomial<Number>): ListRationalFunction<Number>

open fun rationalFunctionValueOf(value: Int): ListRationalFunction<Number>

open fun rationalFunctionValueOf(value: Long): ListRationalFunction<Number>

open fun rationalFunctionValueOf(value: UInt): ListRationalFunction<Number>

open fun rationalFunctionValueOf(value: ULong): ListRationalFunction<Number>

times

@JvmName(name = "timesNumberRational")

operator override fun Number.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "timesPolynomialRational")

operator override fun ListPolynomial<Number>.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

@JvmName(name = "timesRationalNumber")

operator override fun ListRationalFunction<Number>.times(other: Number): ListRationalFunction<Number>

@JvmName(name = "timesRationalPolynomial")

operator override fun ListRationalFunction<Number>.times(other: ListPolynomial<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.times(other: Int): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.times(other: Long): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.times(other: UInt): ListRationalFunction<Number>

operator override fun ListRationalFunction<Number>.times(other: ULong): ListRationalFunction<Number>

operator override fun Int.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun Long.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun UInt.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

operator override fun ULong.times(other: ListRationalFunction<Number>): ListRationalFunction<Number>

unaryMinus

operator override fun ListRationalFunction<Number>.unaryMinus(): ListRationalFunction<Number>

valueOf

override fun valueOf(value: Int): ListRationalFunction<Number>

override fun valueOf(value: Long): ListRationalFunction<Number>

override fun valueOf(value: UInt): ListRationalFunction<Number>

override fun valueOf(value: ULong): ListRationalFunction<Number>