Remove Polynomial interface, fix consequent platform clashes. Add invariance.
This commit is contained in:
parent
0c6ad35c13
commit
c2025ee1c9
@ -19,7 +19,7 @@ import kotlin.math.max
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*
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*
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* @param C the type of constants.
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* @param C the type of constants.
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*/
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*/
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public data class LabeledPolynomial<C>
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public data class LabeledPolynomial<out C>
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@PublishedApi
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@PublishedApi
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internal constructor(
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internal constructor(
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/**
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/**
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@ -63,7 +63,7 @@ internal constructor(
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* @usesMathJax
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* @usesMathJax
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*/
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*/
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public val coefficients: Map<Map<Symbol, UInt>, C>
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public val coefficients: Map<Map<Symbol, UInt>, C>
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) : Polynomial<C> {
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) {
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override fun toString(): String = "LabeledPolynomial$coefficients"
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override fun toString(): String = "LabeledPolynomial$coefficients"
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}
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}
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@ -19,7 +19,7 @@ import kotlin.math.min
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*
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*
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* @param C the type of constants.
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* @param C the type of constants.
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*/
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*/
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public data class ListPolynomial<C>(
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public data class ListPolynomial<out C>(
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/**
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/**
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* List that contains coefficients of the polynomial.
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* List that contains coefficients of the polynomial.
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*
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*
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@ -48,7 +48,7 @@ public data class ListPolynomial<C>(
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* @usesMathJax
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* @usesMathJax
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*/
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*/
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public val coefficients: List<C>
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public val coefficients: List<C>
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) : Polynomial<C> {
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) {
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override fun toString(): String = "ListPolynomial$coefficients"
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override fun toString(): String = "ListPolynomial$coefficients"
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}
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}
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@ -18,7 +18,7 @@ import kotlin.math.max
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*
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*
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* @param C the type of constants.
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* @param C the type of constants.
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*/
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*/
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public data class NumberedPolynomial<C>
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public data class NumberedPolynomial<out C>
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@PublishedApi
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@PublishedApi
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internal constructor(
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internal constructor(
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/**
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/**
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@ -47,7 +47,7 @@ internal constructor(
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* @usesMathJax
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* @usesMathJax
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*/
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*/
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public val coefficients: Map<List<UInt>, C>
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public val coefficients: Map<List<UInt>, C>
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) : Polynomial<C> {
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) {
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override fun toString(): String = "NumberedPolynomial$coefficients"
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override fun toString(): String = "NumberedPolynomial$coefficients"
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}
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}
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@ -11,11 +11,6 @@ import kotlin.js.JsName
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import kotlin.jvm.JvmName
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import kotlin.jvm.JvmName
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/**
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* Abstraction of polynomials.
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*/
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public interface Polynomial<C>
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/**
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/**
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* Abstraction of ring of polynomials of type [P] over ring of constants of type [C].
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* Abstraction of ring of polynomials of type [P] over ring of constants of type [C].
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*
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*
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@ -23,24 +18,27 @@ public interface Polynomial<C>
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* @param P the type of polynomials.
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* @param P the type of polynomials.
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*/
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*/
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
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@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
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public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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public interface PolynomialSpace<C, P> : Ring<P> {
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/**
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/**
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* Returns sum of the constant and the integer represented as a constant (member of underlying ring).
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* Returns sum of the constant and the integer represented as a constant (member of underlying ring).
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*
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*
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* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
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* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
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*/
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*/
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@JvmName("plusConstantInt")
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public operator fun C.plus(other: Int): C
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public operator fun C.plus(other: Int): C
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/**
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/**
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* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
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* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
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*
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*
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* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
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* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
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*/
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*/
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@JvmName("minusConstantInt")
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public operator fun C.minus(other: Int): C
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public operator fun C.minus(other: Int): C
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/**
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/**
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* Returns product of the constant and the integer represented as a constant (member of underlying ring).
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* Returns product of the constant and the integer represented as a constant (member of underlying ring).
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*
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*
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* The operation is equivalent to sum of [other] copies of [this].
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* The operation is equivalent to sum of [other] copies of [this].
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*/
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*/
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@JvmName("timesConstantInt")
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public operator fun C.times(other: Int): C
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public operator fun C.times(other: Int): C
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/**
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/**
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@ -48,18 +46,21 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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*
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*
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* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
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* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
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*/
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*/
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@JvmName("plusIntConstant")
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public operator fun Int.plus(other: C): C
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public operator fun Int.plus(other: C): C
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/**
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/**
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* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
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* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
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*
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*
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* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
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* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
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*/
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*/
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@JvmName("minusIntConstant")
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public operator fun Int.minus(other: C): C
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public operator fun Int.minus(other: C): C
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/**
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/**
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* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
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* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
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*
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*
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* The operation is equivalent to sum of [this] copies of [other].
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* The operation is equivalent to sum of [this] copies of [other].
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*/
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*/
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@JvmName("timesIntConstant")
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public operator fun Int.times(other: C): C
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public operator fun Int.times(other: C): C
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/**
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/**
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@ -167,27 +168,33 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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/**
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/**
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* Returns sum of the constant represented as a polynomial and the polynomial.
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* Returns sum of the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("plusConstantPolynomial")
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public operator fun C.plus(other: P): P
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public operator fun C.plus(other: P): P
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/**
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/**
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* Returns difference between the constant represented as a polynomial and the polynomial.
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* Returns difference between the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("minusConstantPolynomial")
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public operator fun C.minus(other: P): P
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public operator fun C.minus(other: P): P
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/**
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/**
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* Returns product of the constant represented as a polynomial and the polynomial.
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* Returns product of the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("timesConstantPolynomial")
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public operator fun C.times(other: P): P
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public operator fun C.times(other: P): P
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/**
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/**
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* Returns sum of the constant represented as a polynomial and the polynomial.
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* Returns sum of the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("plusPolynomialConstant")
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public operator fun P.plus(other: C): P
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public operator fun P.plus(other: C): P
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/**
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/**
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* Returns difference between the constant represented as a polynomial and the polynomial.
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* Returns difference between the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("minusPolynomialConstant")
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public operator fun P.minus(other: C): P
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public operator fun P.minus(other: C): P
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/**
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/**
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* Returns product of the constant represented as a polynomial and the polynomial.
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* Returns product of the constant represented as a polynomial and the polynomial.
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*/
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*/
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@JvmName("timesPolynomialConstant")
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public operator fun P.times(other: C): P
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public operator fun P.times(other: C): P
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/**
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/**
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@ -252,7 +259,7 @@ public interface PolynomialSpace<C, P: Polynomial<C>> : Ring<P> {
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* @param A the type of algebraic structure (precisely, of ring) provided for constants.
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* @param A the type of algebraic structure (precisely, of ring) provided for constants.
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*/
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*/
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, out A: Ring<C>> : PolynomialSpace<C, P> {
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public interface PolynomialSpaceOverRing<C, P, out A: Ring<C>> : PolynomialSpace<C, P> {
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/**
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/**
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* Underlying ring of constants. Its operations on constants are inherited by local operations on constants.
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* Underlying ring of constants. Its operations on constants are inherited by local operations on constants.
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@ -264,18 +271,21 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, out A: Ring<C>> :
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*
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*
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* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
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* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
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*/
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*/
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@JvmName("plusConstantInt")
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public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
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public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
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/**
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/**
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* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
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* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
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*
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*
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* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
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* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
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*/
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*/
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@JvmName("minusConstantInt")
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public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
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public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
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/**
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/**
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* Returns product of the constant and the integer represented as a constant (member of underlying ring).
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* Returns product of the constant and the integer represented as a constant (member of underlying ring).
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*
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*
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* The operation is equivalent to sum of [other] copies of [this].
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* The operation is equivalent to sum of [other] copies of [this].
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*/
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*/
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@JvmName("timesConstantInt")
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public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
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public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
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/**
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/**
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@ -283,18 +293,21 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, out A: Ring<C>> :
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*
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*
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* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
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* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
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*/
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*/
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@JvmName("plusIntConstant")
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public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
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public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
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/**
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/**
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* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
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* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
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*
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*
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* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
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* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
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*/
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*/
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@JvmName("minusIntConstant")
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public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
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public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
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/**
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/**
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* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
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* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
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*
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*
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* The operation is equivalent to sum of [this] copies of [other].
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* The operation is equivalent to sum of [this] copies of [other].
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*/
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*/
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@JvmName("timesIntConstant")
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public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
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public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
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/**
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/**
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@ -341,69 +354,81 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, out A: Ring<C>> :
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* @param P the type of polynomials.
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* @param P the type of polynomials.
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*/
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*/
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
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public interface MultivariatePolynomialSpace<C, V, P: Polynomial<C>>: PolynomialSpace<C, P> {
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public interface MultivariatePolynomialSpace<C, V, P>: PolynomialSpace<C, P> {
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/**
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/**
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* Returns sum of the variable represented as a monic monomial and the integer represented as a constant polynomial.
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* Returns sum of the variable represented as a monic monomial and the integer represented as a constant polynomial.
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*/
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*/
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@JvmName("plusVariableInt")
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@JvmName("plusVariableInt")
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@JsName("plusVariableInt")
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public operator fun V.plus(other: Int): P
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public operator fun V.plus(other: Int): P
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/**
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/**
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* Returns difference between the variable represented as a monic monomial and the integer represented as a constant polynomial.
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* Returns difference between the variable represented as a monic monomial and the integer represented as a constant polynomial.
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*/
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*/
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@JvmName("minusVariableInt")
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@JvmName("minusVariableInt")
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@JsName("minusVariableInt")
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public operator fun V.minus(other: Int): P
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public operator fun V.minus(other: Int): P
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/**
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/**
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* Returns product of the variable represented as a monic monomial and the integer represented as a constant polynomial.
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* Returns product of the variable represented as a monic monomial and the integer represented as a constant polynomial.
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*/
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*/
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@JvmName("timesVariableInt")
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@JvmName("timesVariableInt")
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@JsName("timesVariableInt")
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public operator fun V.times(other: Int): P
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public operator fun V.times(other: Int): P
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/**
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/**
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* Returns sum of the integer represented as a constant polynomial and the variable represented as a monic monomial.
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* Returns sum of the integer represented as a constant polynomial and the variable represented as a monic monomial.
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*/
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*/
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@JvmName("plusIntVariable")
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@JvmName("plusIntVariable")
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@JsName("plusIntVariable")
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public operator fun Int.plus(other: V): P
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public operator fun Int.plus(other: V): P
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/**
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/**
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* Returns difference between the integer represented as a constant polynomial and the variable represented as a monic monomial.
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* Returns difference between the integer represented as a constant polynomial and the variable represented as a monic monomial.
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*/
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*/
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@JvmName("minusIntVariable")
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@JvmName("minusIntVariable")
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@JsName("minusIntVariable")
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public operator fun Int.minus(other: V): P
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public operator fun Int.minus(other: V): P
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/**
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/**
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* Returns product of the integer represented as a constant polynomial and the variable represented as a monic monomial.
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* Returns product of the integer represented as a constant polynomial and the variable represented as a monic monomial.
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*/
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*/
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@JvmName("timesIntVariable")
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@JvmName("timesIntVariable")
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@JsName("timesIntVariable")
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public operator fun Int.times(other: V): P
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public operator fun Int.times(other: V): P
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/**
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/**
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* Returns sum of the variable represented as a monic monomial and the constant represented as a constant polynomial.
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* Returns sum of the variable represented as a monic monomial and the constant represented as a constant polynomial.
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*/
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*/
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@JvmName("plusVariableConstant")
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@JvmName("plusVariableConstant")
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@JsName("plusVariableConstant")
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public operator fun V.plus(other: C): P
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public operator fun V.plus(other: C): P
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/**
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/**
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* Returns difference between the variable represented as a monic monomial and the constant represented as a constant polynomial.
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* Returns difference between the variable represented as a monic monomial and the constant represented as a constant polynomial.
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*/
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*/
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@JvmName("minusVariableConstant")
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@JvmName("minusVariableConstant")
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@JsName("minusVariableConstant")
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public operator fun V.minus(other: C): P
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public operator fun V.minus(other: C): P
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/**
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/**
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* Returns product of the variable represented as a monic monomial and the constant represented as a constant polynomial.
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* Returns product of the variable represented as a monic monomial and the constant represented as a constant polynomial.
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*/
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*/
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@JvmName("timesVariableConstant")
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@JvmName("timesVariableConstant")
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@JsName("timesVariableConstant")
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public operator fun V.times(other: C): P
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public operator fun V.times(other: C): P
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/**
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/**
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* Returns sum of the constant represented as a constant polynomial and the variable represented as a monic monomial.
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* Returns sum of the constant represented as a constant polynomial and the variable represented as a monic monomial.
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*/
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*/
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@JvmName("plusConstantVariable")
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@JvmName("plusConstantVariable")
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@JsName("plusConstantVariable")
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public operator fun C.plus(other: V): P
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public operator fun C.plus(other: V): P
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/**
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/**
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* Returns difference between the constant represented as a constant polynomial and the variable represented as a monic monomial.
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* Returns difference between the constant represented as a constant polynomial and the variable represented as a monic monomial.
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*/
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*/
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@JvmName("minusConstantVariable")
|
@JvmName("minusConstantVariable")
|
||||||
|
@JsName("minusConstantVariable")
|
||||||
public operator fun C.minus(other: V): P
|
public operator fun C.minus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns product of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesConstantVariable")
|
@JvmName("timesConstantVariable")
|
||||||
|
@JsName("timesConstantVariable")
|
||||||
public operator fun C.times(other: V): P
|
public operator fun C.times(other: V): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
|
@ -14,7 +14,7 @@ import kotlin.jvm.JvmName
|
|||||||
/**
|
/**
|
||||||
* Abstraction of rational function.
|
* Abstraction of rational function.
|
||||||
*/
|
*/
|
||||||
public interface RationalFunction<C, P: Polynomial<C>> {
|
public interface RationalFunction<C, P> {
|
||||||
public val numerator: P
|
public val numerator: P
|
||||||
public val denominator: P
|
public val denominator: P
|
||||||
public operator fun component1(): P = numerator
|
public operator fun component1(): P = numerator
|
||||||
@ -30,24 +30,27 @@ public interface RationalFunction<C, P: Polynomial<C>> {
|
|||||||
* @param R the type of rational functions.
|
* @param R the type of rational functions.
|
||||||
*/
|
*/
|
||||||
@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
|
@Suppress("INAPPLICABLE_JVM_NAME", "PARAMETER_NAME_CHANGED_ON_OVERRIDE") // FIXME: Waiting for KT-31420
|
||||||
public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<C, P>> : Ring<R> {
|
public interface RationalFunctionSpace<C, P, R: RationalFunction<C, P>> : Ring<R> {
|
||||||
/**
|
/**
|
||||||
* Returns sum of the constant and the integer represented as a constant (member of underlying ring).
|
* Returns sum of the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantInt")
|
||||||
public operator fun C.plus(other: Int): C
|
public operator fun C.plus(other: Int): C
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantInt")
|
||||||
public operator fun C.minus(other: Int): C
|
public operator fun C.minus(other: Int): C
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [other] copies of [this].
|
* The operation is equivalent to sum of [other] copies of [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantInt")
|
||||||
public operator fun C.times(other: Int): C
|
public operator fun C.times(other: Int): C
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -55,18 +58,21 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusIntConstant")
|
||||||
public operator fun Int.plus(other: C): C
|
public operator fun Int.plus(other: C): C
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusIntConstant")
|
||||||
public operator fun Int.minus(other: C): C
|
public operator fun Int.minus(other: C): C
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [this] copies of [other].
|
* The operation is equivalent to sum of [this] copies of [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesIntConstant")
|
||||||
public operator fun Int.times(other: C): C
|
public operator fun Int.times(other: C): C
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -83,18 +89,21 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [other] copies of unit polynomial to [this].
|
* The operation is equivalent to adding [other] copies of unit polynomial to [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialInt")
|
||||||
public operator fun P.plus(other: Int): P
|
public operator fun P.plus(other: Int): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant and the integer represented as a polynomial.
|
* Returns difference between the constant and the integer represented as a polynomial.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
|
* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialInt")
|
||||||
public operator fun P.minus(other: Int): P
|
public operator fun P.minus(other: Int): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant and the integer represented as a polynomial.
|
* Returns product of the constant and the integer represented as a polynomial.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [other] copies of [this].
|
* The operation is equivalent to sum of [other] copies of [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialInt")
|
||||||
public operator fun P.times(other: Int): P
|
public operator fun P.times(other: Int): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -102,18 +111,21 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [this] copies of unit polynomial to [other].
|
* The operation is equivalent to adding [this] copies of unit polynomial to [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusIntPolynomial")
|
||||||
public operator fun Int.plus(other: P): P
|
public operator fun Int.plus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a polynomial and the constant.
|
* Returns difference between the integer represented as a polynomial and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
|
* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusIntPolynomial")
|
||||||
public operator fun Int.minus(other: P): P
|
public operator fun Int.minus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a polynomial and the constant.
|
* Returns product of the integer represented as a polynomial and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [this] copies of [other].
|
* The operation is equivalent to sum of [this] copies of [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesIntPolynomial")
|
||||||
public operator fun Int.times(other: P): P
|
public operator fun Int.times(other: P): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -235,27 +247,33 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a polynomial and the polynomial.
|
* Returns sum of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantPolynomial")
|
||||||
public operator fun C.plus(other: P): P
|
public operator fun C.plus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the polynomial.
|
* Returns difference between the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantPolynomial")
|
||||||
public operator fun C.minus(other: P): P
|
public operator fun C.minus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the polynomial.
|
* Returns product of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantPolynomial")
|
||||||
public operator fun C.times(other: P): P
|
public operator fun C.times(other: P): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a polynomial and the polynomial.
|
* Returns sum of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialConstant")
|
||||||
public operator fun P.plus(other: C): P
|
public operator fun P.plus(other: C): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the polynomial.
|
* Returns difference between the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialConstant")
|
||||||
public operator fun P.minus(other: C): P
|
public operator fun P.minus(other: C): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the polynomial.
|
* Returns product of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialConstant")
|
||||||
public operator fun P.times(other: C): P
|
public operator fun P.times(other: C): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -270,30 +288,37 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
/**
|
/**
|
||||||
* Returns the same polynomial.
|
* Returns the same polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("unaryPlusPolynomial")
|
||||||
public operator fun P.unaryPlus(): P = this
|
public operator fun P.unaryPlus(): P = this
|
||||||
/**
|
/**
|
||||||
* Returns negation of the polynomial.
|
* Returns negation of the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("unaryMinusPolynomial")
|
||||||
public operator fun P.unaryMinus(): P
|
public operator fun P.unaryMinus(): P
|
||||||
/**
|
/**
|
||||||
* Returns sum of the polynomials.
|
* Returns sum of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialPolynomial")
|
||||||
public operator fun P.plus(other: P): P
|
public operator fun P.plus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns difference of the polynomials.
|
* Returns difference of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialPolynomial")
|
||||||
public operator fun P.minus(other: P): P
|
public operator fun P.minus(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the polynomials.
|
* Returns product of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialPolynomial")
|
||||||
public operator fun P.times(other: P): P
|
public operator fun P.times(other: P): P
|
||||||
/**
|
/**
|
||||||
* Returns quotient of the polynomials as rational function.
|
* Returns quotient of the polynomials as rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divPolynomialPolynomial")
|
||||||
public operator fun P.div(other: P): R
|
public operator fun P.div(other: P): R
|
||||||
/**
|
/**
|
||||||
* Raises [arg] to the integer power [exponent].
|
* Raises [arg] to the integer power [exponent].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("powerPolynomial")
|
||||||
public fun power(arg: P, exponent: UInt) : P
|
public fun power(arg: P, exponent: UInt) : P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -308,87 +333,107 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a rational function and the rational function.
|
* Returns sum of the constant represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantRational")
|
||||||
public operator fun C.plus(other: R): R
|
public operator fun C.plus(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the rational function.
|
* Returns difference between the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantRational")
|
||||||
public operator fun C.minus(other: R): R
|
public operator fun C.minus(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the rational function.
|
* Returns product of the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantRational")
|
||||||
public operator fun C.times(other: R): R
|
public operator fun C.times(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns quotient of the constant represented as a polynomial and the rational function.
|
* Returns quotient of the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divConstantRational")
|
||||||
public operator fun C.div(other: R): R
|
public operator fun C.div(other: R): R
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the rational function and the constant represented as a rational function.
|
* Returns sum of the rational function and the constant represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusRationalConstant")
|
||||||
public operator fun R.plus(other: C): R
|
public operator fun R.plus(other: C): R
|
||||||
/**
|
/**
|
||||||
* Returns difference between the rational function and the constant represented as a rational function.
|
* Returns difference between the rational function and the constant represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusRationalConstant")
|
||||||
public operator fun R.minus(other: C): R
|
public operator fun R.minus(other: C): R
|
||||||
/**
|
/**
|
||||||
* Returns product of the rational function and the constant represented as a rational function.
|
* Returns product of the rational function and the constant represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesRationalConstant")
|
||||||
public operator fun R.times(other: C): R
|
public operator fun R.times(other: C): R
|
||||||
/**
|
/**
|
||||||
* Returns quotient of the rational function and the constant represented as a rational function.
|
* Returns quotient of the rational function and the constant represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divRationalConstant")
|
||||||
public operator fun R.div(other: C): R
|
public operator fun R.div(other: C): R
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Converts the constant [value] to rational function.
|
* Converts the constant [value] to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("numberConstant")
|
||||||
public fun number(value: C): R = one * value
|
public fun number(value: C): R = one * value
|
||||||
/**
|
/**
|
||||||
* Converts the constant to rational function.
|
* Converts the constant to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("asRationalFunctionConstant")
|
||||||
public fun C.asRationalFunction(): R = number(this)
|
public fun C.asRationalFunction(): R = number(this)
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the polynomial represented as a rational function and the rational function.
|
* Returns sum of the polynomial represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialRational")
|
||||||
public operator fun P.plus(other: R): R
|
public operator fun P.plus(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns difference between the polynomial represented as a polynomial and the rational function.
|
* Returns difference between the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialRational")
|
||||||
public operator fun P.minus(other: R): R
|
public operator fun P.minus(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns product of the polynomial represented as a polynomial and the rational function.
|
* Returns product of the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialRational")
|
||||||
public operator fun P.times(other: R): R
|
public operator fun P.times(other: R): R
|
||||||
/**
|
/**
|
||||||
* Returns quotient of the polynomial represented as a polynomial and the rational function.
|
* Returns quotient of the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divPolynomialRational")
|
||||||
public operator fun P.div(other: R): R
|
public operator fun P.div(other: R): R
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the rational function and the polynomial represented as a rational function.
|
* Returns sum of the rational function and the polynomial represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusRationalPolynomial")
|
||||||
public operator fun R.plus(other: P): R
|
public operator fun R.plus(other: P): R
|
||||||
/**
|
/**
|
||||||
* Returns difference between the rational function and the polynomial represented as a rational function.
|
* Returns difference between the rational function and the polynomial represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusRationalPolynomial")
|
||||||
public operator fun R.minus(other: P): R
|
public operator fun R.minus(other: P): R
|
||||||
/**
|
/**
|
||||||
* Returns product of the rational function and the polynomial represented as a rational function.
|
* Returns product of the rational function and the polynomial represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesRationalPolynomial")
|
||||||
public operator fun R.times(other: P): R
|
public operator fun R.times(other: P): R
|
||||||
/**
|
/**
|
||||||
* Returns quotient of the rational function and the polynomial represented as a rational function.
|
* Returns quotient of the rational function and the polynomial represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divRationalPolynomial")
|
||||||
public operator fun R.div(other: P): R
|
public operator fun R.div(other: P): R
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Converts the polynomial [value] to rational function.
|
* Converts the polynomial [value] to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("numberPolynomial")
|
||||||
public fun number(value: P): R = one * value
|
public fun number(value: P): R = one * value
|
||||||
/**
|
/**
|
||||||
* Converts the polynomial to rational function.
|
* Converts the polynomial to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("asRationalFunctionPolynomial")
|
||||||
public fun P.asRationalFunction(): R = number(this)
|
public fun P.asRationalFunction(): R = number(this)
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -462,7 +507,7 @@ public interface RationalFunctionSpace<C, P: Polynomial<C>, R: RationalFunction<
|
|||||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||||
public interface RationalFunctionSpaceOverRing<
|
public interface RationalFunctionSpaceOverRing<
|
||||||
C,
|
C,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>,
|
R: RationalFunction<C, P>,
|
||||||
out A: Ring<C>
|
out A: Ring<C>
|
||||||
> : RationalFunctionSpace<C, P, R> {
|
> : RationalFunctionSpace<C, P, R> {
|
||||||
@ -477,18 +522,21 @@ public interface RationalFunctionSpaceOverRing<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantInt")
|
||||||
public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
|
public override operator fun C.plus(other: Int): C = ring { addMultipliedByDoubling(this@plus, one, other) }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantInt")
|
||||||
public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
|
public override operator fun C.minus(other: Int): C = ring { addMultipliedByDoubling(this@minus, one, -other) }
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [other] copies of [this].
|
* The operation is equivalent to sum of [other] copies of [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantInt")
|
||||||
public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
|
public override operator fun C.times(other: Int): C = ring { multiplyByDoubling(this@times, other) }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -496,18 +544,21 @@ public interface RationalFunctionSpaceOverRing<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusIntConstant")
|
||||||
public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
|
public override operator fun Int.plus(other: C): C = ring { addMultipliedByDoubling(other, one, this@plus) }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusIntConstant")
|
||||||
public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
|
public override operator fun Int.minus(other: C): C = ring { addMultipliedByDoubling(-other, one, this@minus) }
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [this] copies of [other].
|
* The operation is equivalent to sum of [this] copies of [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesIntConstant")
|
||||||
public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
|
public override operator fun Int.times(other: C): C = ring { multiplyByDoubling(other, this@times) }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -564,7 +615,7 @@ public interface RationalFunctionSpaceOverRing<
|
|||||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||||
public interface RationalFunctionSpaceOverPolynomialSpace<
|
public interface RationalFunctionSpaceOverPolynomialSpace<
|
||||||
C,
|
C,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>,
|
R: RationalFunction<C, P>,
|
||||||
out AP: PolynomialSpace<C, P>,
|
out AP: PolynomialSpace<C, P>,
|
||||||
> : RationalFunctionSpace<C, P, R> {
|
> : RationalFunctionSpace<C, P, R> {
|
||||||
@ -579,18 +630,21 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
* The operation is equivalent to adding [other] copies of unit of underlying ring to [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantInt")
|
||||||
public override operator fun C.plus(other: Int): C = polynomialRing { this@plus + other }
|
public override operator fun C.plus(other: Int): C = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
* Returns difference between the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
* The operation is equivalent to subtraction [other] copies of unit of underlying ring from [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantInt")
|
||||||
public override operator fun C.minus(other: Int): C = polynomialRing { this@minus - other }
|
public override operator fun C.minus(other: Int): C = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
* Returns product of the constant and the integer represented as a constant (member of underlying ring).
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [other] copies of [this].
|
* The operation is equivalent to sum of [other] copies of [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantInt")
|
||||||
public override operator fun C.times(other: Int): C = polynomialRing { this@times * other }
|
public override operator fun C.times(other: Int): C = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -598,18 +652,21 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
* The operation is equivalent to adding [this] copies of unit of underlying ring to [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusIntConstant")
|
||||||
public override operator fun Int.plus(other: C): C = polynomialRing { this@plus + other }
|
public override operator fun Int.plus(other: C): C = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns difference between the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
* The operation is equivalent to subtraction [this] copies of unit of underlying ring from [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusIntConstant")
|
||||||
public override operator fun Int.minus(other: C): C = polynomialRing { this@minus - other }
|
public override operator fun Int.minus(other: C): C = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
* Returns product of the integer represented as a constant (member of underlying ring) and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [this] copies of [other].
|
* The operation is equivalent to sum of [this] copies of [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesIntConstant")
|
||||||
public override operator fun Int.times(other: C): C = polynomialRing { this@times * other }
|
public override operator fun Int.times(other: C): C = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -626,18 +683,21 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [other] copies of unit polynomial to [this].
|
* The operation is equivalent to adding [other] copies of unit polynomial to [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialInt")
|
||||||
public override operator fun P.plus(other: Int): P = polynomialRing { this@plus + other }
|
public override operator fun P.plus(other: Int): P = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant and the integer represented as a polynomial.
|
* Returns difference between the constant and the integer represented as a polynomial.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
|
* The operation is equivalent to subtraction [other] copies of unit polynomial from [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialInt")
|
||||||
public override operator fun P.minus(other: Int): P = polynomialRing { this@minus - other }
|
public override operator fun P.minus(other: Int): P = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant and the integer represented as a polynomial.
|
* Returns product of the constant and the integer represented as a polynomial.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [other] copies of [this].
|
* The operation is equivalent to sum of [other] copies of [this].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialInt")
|
||||||
public override operator fun P.times(other: Int): P = polynomialRing { this@times * other }
|
public override operator fun P.times(other: Int): P = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -645,18 +705,21 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
*
|
*
|
||||||
* The operation is equivalent to adding [this] copies of unit polynomial to [other].
|
* The operation is equivalent to adding [this] copies of unit polynomial to [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusIntPolynomial")
|
||||||
public override operator fun Int.plus(other: P): P = polynomialRing { this@plus + other }
|
public override operator fun Int.plus(other: P): P = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a polynomial and the constant.
|
* Returns difference between the integer represented as a polynomial and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
|
* The operation is equivalent to subtraction [this] copies of unit polynomial from [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusIntPolynomial")
|
||||||
public override operator fun Int.minus(other: P): P = polynomialRing { this@minus - other }
|
public override operator fun Int.minus(other: P): P = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a polynomial and the constant.
|
* Returns product of the integer represented as a polynomial and the constant.
|
||||||
*
|
*
|
||||||
* The operation is equivalent to sum of [this] copies of [other].
|
* The operation is equivalent to sum of [this] copies of [other].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesIntPolynomial")
|
||||||
public override operator fun Int.times(other: P): P = polynomialRing { this@times * other }
|
public override operator fun Int.times(other: P): P = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -711,27 +774,33 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a polynomial and the polynomial.
|
* Returns sum of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantPolynomial")
|
||||||
public override operator fun C.plus(other: P): P = polynomialRing { this@plus + other }
|
public override operator fun C.plus(other: P): P = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the polynomial.
|
* Returns difference between the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantPolynomial")
|
||||||
public override operator fun C.minus(other: P): P = polynomialRing { this@minus - other }
|
public override operator fun C.minus(other: P): P = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the polynomial.
|
* Returns product of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantPolynomial")
|
||||||
public override operator fun C.times(other: P): P = polynomialRing { this@times * other }
|
public override operator fun C.times(other: P): P = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a polynomial and the polynomial.
|
* Returns sum of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialConstant")
|
||||||
public override operator fun P.plus(other: C): P = polynomialRing { this@plus + other }
|
public override operator fun P.plus(other: C): P = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the polynomial.
|
* Returns difference between the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialConstant")
|
||||||
public override operator fun P.minus(other: C): P = polynomialRing { this@minus - other }
|
public override operator fun P.minus(other: C): P = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the polynomial.
|
* Returns product of the constant represented as a polynomial and the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialConstant")
|
||||||
public override operator fun P.times(other: C): P = polynomialRing { this@times * other }
|
public override operator fun P.times(other: C): P = polynomialRing { this@times * other }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -746,26 +815,32 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
/**
|
/**
|
||||||
* Returns the same polynomial.
|
* Returns the same polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("unaryPlusPolynomial")
|
||||||
public override operator fun P.unaryPlus(): P = polynomialRing { +this@unaryPlus }
|
public override operator fun P.unaryPlus(): P = polynomialRing { +this@unaryPlus }
|
||||||
/**
|
/**
|
||||||
* Returns negation of the polynomial.
|
* Returns negation of the polynomial.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("unaryMinusPolynomial")
|
||||||
public override operator fun P.unaryMinus(): P = polynomialRing { -this@unaryMinus }
|
public override operator fun P.unaryMinus(): P = polynomialRing { -this@unaryMinus }
|
||||||
/**
|
/**
|
||||||
* Returns sum of the polynomials.
|
* Returns sum of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialPolynomial")
|
||||||
public override operator fun P.plus(other: P): P = polynomialRing { this@plus + other }
|
public override operator fun P.plus(other: P): P = polynomialRing { this@plus + other }
|
||||||
/**
|
/**
|
||||||
* Returns difference of the polynomials.
|
* Returns difference of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialPolynomial")
|
||||||
public override operator fun P.minus(other: P): P = polynomialRing { this@minus - other }
|
public override operator fun P.minus(other: P): P = polynomialRing { this@minus - other }
|
||||||
/**
|
/**
|
||||||
* Returns product of the polynomials.
|
* Returns product of the polynomials.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialPolynomial")
|
||||||
public override operator fun P.times(other: P): P = polynomialRing { this@times * other }
|
public override operator fun P.times(other: P): P = polynomialRing { this@times * other }
|
||||||
/**
|
/**
|
||||||
* Raises [arg] to the integer power [exponent].
|
* Raises [arg] to the integer power [exponent].
|
||||||
*/
|
*/
|
||||||
|
@JvmName("powerPolynomial")
|
||||||
public override fun power(arg: P, exponent: UInt) : P = polynomialRing { power(arg, exponent) }
|
public override fun power(arg: P, exponent: UInt) : P = polynomialRing { power(arg, exponent) }
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -796,7 +871,7 @@ public interface RationalFunctionSpaceOverPolynomialSpace<
|
|||||||
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
@Suppress("INAPPLICABLE_JVM_NAME") // FIXME: Waiting for KT-31420
|
||||||
public abstract class PolynomialSpaceOfFractions<
|
public abstract class PolynomialSpaceOfFractions<
|
||||||
C,
|
C,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>,
|
R: RationalFunction<C, P>,
|
||||||
> : RationalFunctionSpace<C, P, R> {
|
> : RationalFunctionSpace<C, P, R> {
|
||||||
|
|
||||||
@ -897,11 +972,13 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns quotient of the polynomials as rational function.
|
* Returns quotient of the polynomials as rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divPolynomialPolynomial")
|
||||||
public override operator fun P.div(other: P): R = constructRationalFunction(this, other)
|
public override operator fun P.div(other: P): R = constructRationalFunction(this, other)
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a rational function and the rational function.
|
* Returns sum of the constant represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusConstantRational")
|
||||||
public override operator fun C.plus(other: R): R =
|
public override operator fun C.plus(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
other.denominator * this + other.numerator,
|
other.denominator * this + other.numerator,
|
||||||
@ -910,6 +987,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a polynomial and the rational function.
|
* Returns difference between the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusConstantRational")
|
||||||
public override operator fun C.minus(other: R): R =
|
public override operator fun C.minus(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
other.denominator * this - other.numerator,
|
other.denominator * this - other.numerator,
|
||||||
@ -918,6 +996,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a polynomial and the rational function.
|
* Returns product of the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesConstantRational")
|
||||||
public override operator fun C.times(other: R): R =
|
public override operator fun C.times(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
this * other.numerator,
|
this * other.numerator,
|
||||||
@ -926,6 +1005,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns quotient of the constant represented as a polynomial and the rational function.
|
* Returns quotient of the constant represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divConstantRational")
|
||||||
public override operator fun C.div(other: R): R =
|
public override operator fun C.div(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
this * other.denominator,
|
this * other.denominator,
|
||||||
@ -935,6 +1015,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a rational function and the rational function.
|
* Returns sum of the constant represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusRationalConstant")
|
||||||
public override operator fun R.plus(other: C): R =
|
public override operator fun R.plus(other: C): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator + denominator * other,
|
numerator + denominator * other,
|
||||||
@ -943,6 +1024,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a rational function and the rational function.
|
* Returns difference between the constant represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusRationalConstant")
|
||||||
public override operator fun R.minus(other: C): R =
|
public override operator fun R.minus(other: C): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator - denominator * other,
|
numerator - denominator * other,
|
||||||
@ -951,6 +1033,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a rational function and the rational function.
|
* Returns product of the constant represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesRationalConstant")
|
||||||
public override operator fun R.times(other: C): R =
|
public override operator fun R.times(other: C): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator * other,
|
numerator * other,
|
||||||
@ -959,6 +1042,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns quotient of the rational function and the constant represented as a rational function.
|
* Returns quotient of the rational function and the constant represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divRationalConstant")
|
||||||
public override operator fun R.div(other: C): R =
|
public override operator fun R.div(other: C): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator,
|
numerator,
|
||||||
@ -968,11 +1052,13 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Converts the constant [value] to rational function.
|
* Converts the constant [value] to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("numberConstant")
|
||||||
public override fun number(value: C): R = constructRationalFunction(polynomialNumber(value))
|
public override fun number(value: C): R = constructRationalFunction(polynomialNumber(value))
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the polynomial represented as a rational function and the rational function.
|
* Returns sum of the polynomial represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusPolynomialRational")
|
||||||
public override operator fun P.plus(other: R): R =
|
public override operator fun P.plus(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
other.denominator * this + other.numerator,
|
other.denominator * this + other.numerator,
|
||||||
@ -981,6 +1067,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns difference between the polynomial represented as a polynomial and the rational function.
|
* Returns difference between the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusPolynomialRational")
|
||||||
public override operator fun P.minus(other: R): R =
|
public override operator fun P.minus(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
other.denominator * this - other.numerator,
|
other.denominator * this - other.numerator,
|
||||||
@ -989,6 +1076,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns product of the polynomial represented as a polynomial and the rational function.
|
* Returns product of the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesPolynomialRational")
|
||||||
public override operator fun P.times(other: R): R =
|
public override operator fun P.times(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
this * other.numerator,
|
this * other.numerator,
|
||||||
@ -997,6 +1085,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns quotient of the polynomial represented as a polynomial and the rational function.
|
* Returns quotient of the polynomial represented as a polynomial and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divPolynomialRational")
|
||||||
public override operator fun P.div(other: R): R =
|
public override operator fun P.div(other: R): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
this * other.denominator,
|
this * other.denominator,
|
||||||
@ -1006,6 +1095,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns sum of the polynomial represented as a rational function and the rational function.
|
* Returns sum of the polynomial represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("plusRationalPolynomial")
|
||||||
public override operator fun R.plus(other: P): R =
|
public override operator fun R.plus(other: P): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator + denominator * other,
|
numerator + denominator * other,
|
||||||
@ -1014,6 +1104,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns difference between the polynomial represented as a rational function and the rational function.
|
* Returns difference between the polynomial represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("minusRationalPolynomial")
|
||||||
public override operator fun R.minus(other: P): R =
|
public override operator fun R.minus(other: P): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator - denominator * other,
|
numerator - denominator * other,
|
||||||
@ -1022,6 +1113,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns product of the polynomial represented as a rational function and the rational function.
|
* Returns product of the polynomial represented as a rational function and the rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("timesRationalPolynomial")
|
||||||
public override operator fun R.times(other: P): R =
|
public override operator fun R.times(other: P): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator * other,
|
numerator * other,
|
||||||
@ -1030,6 +1122,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns quotient of the rational function and the polynomial represented as a rational function.
|
* Returns quotient of the rational function and the polynomial represented as a rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("divRationalPolynomial")
|
||||||
public override operator fun R.div(other: P): R =
|
public override operator fun R.div(other: P): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator,
|
numerator,
|
||||||
@ -1039,6 +1132,7 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Converts the polynomial [value] to rational function.
|
* Converts the polynomial [value] to rational function.
|
||||||
*/
|
*/
|
||||||
|
@JvmName("numberPolynomial")
|
||||||
public override fun number(value: P): R = constructRationalFunction(value)
|
public override fun number(value: P): R = constructRationalFunction(value)
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -1110,97 +1204,114 @@ public abstract class PolynomialSpaceOfFractions<
|
|||||||
public interface MultivariateRationalFunctionSpace<
|
public interface MultivariateRationalFunctionSpace<
|
||||||
C,
|
C,
|
||||||
V,
|
V,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>
|
R: RationalFunction<C, P>
|
||||||
>: RationalFunctionSpace<C, P, R> {
|
>: RationalFunctionSpace<C, P, R> {
|
||||||
/**
|
/**
|
||||||
* Returns sum of the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
* Returns sum of the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("plusVariableInt")
|
@JvmName("plusVariableInt")
|
||||||
|
@JsName("plusVariableInt")
|
||||||
public operator fun V.plus(other: Int): P
|
public operator fun V.plus(other: Int): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
* Returns difference between the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("minusVariableInt")
|
@JvmName("minusVariableInt")
|
||||||
|
@JsName("minusVariableInt")
|
||||||
public operator fun V.minus(other: Int): P
|
public operator fun V.minus(other: Int): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
* Returns product of the variable represented as a monic monomial and the integer represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesVariableInt")
|
@JvmName("timesVariableInt")
|
||||||
|
@JsName("timesVariableInt")
|
||||||
public operator fun V.times(other: Int): P
|
public operator fun V.times(other: Int): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns sum of the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("plusIntVariable")
|
@JvmName("plusIntVariable")
|
||||||
|
@JsName("plusIntVariable")
|
||||||
public operator fun Int.plus(other: V): P
|
public operator fun Int.plus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns difference between the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("minusIntVariable")
|
@JvmName("minusIntVariable")
|
||||||
|
@JsName("minusIntVariable")
|
||||||
public operator fun Int.minus(other: V): P
|
public operator fun Int.minus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns product of the integer represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesIntVariable")
|
@JvmName("timesIntVariable")
|
||||||
|
@JsName("timesIntVariable")
|
||||||
public operator fun Int.times(other: V): P
|
public operator fun Int.times(other: V): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
* Returns sum of the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("plusVariableConstant")
|
@JvmName("plusVariableConstant")
|
||||||
|
@JsName("plusVariableConstant")
|
||||||
public operator fun V.plus(other: C): P
|
public operator fun V.plus(other: C): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
* Returns difference between the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("minusVariableConstant")
|
@JvmName("minusVariableConstant")
|
||||||
|
@JsName("minusVariableConstant")
|
||||||
public operator fun V.minus(other: C): P
|
public operator fun V.minus(other: C): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
* Returns product of the variable represented as a monic monomial and the constant represented as a constant polynomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesVariableConstant")
|
@JvmName("timesVariableConstant")
|
||||||
|
@JsName("timesVariableConstant")
|
||||||
public operator fun V.times(other: C): P
|
public operator fun V.times(other: C): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Returns sum of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns sum of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("plusConstantVariable")
|
@JvmName("plusConstantVariable")
|
||||||
|
@JsName("plusConstantVariable")
|
||||||
public operator fun C.plus(other: V): P
|
public operator fun C.plus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns difference between the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("minusConstantVariable")
|
@JvmName("minusConstantVariable")
|
||||||
|
@JsName("minusConstantVariable")
|
||||||
public operator fun C.minus(other: V): P
|
public operator fun C.minus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
* Returns product of the constant represented as a constant polynomial and the variable represented as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesConstantVariable")
|
@JvmName("timesConstantVariable")
|
||||||
|
@JsName("timesConstantVariable")
|
||||||
public operator fun C.times(other: V): P
|
public operator fun C.times(other: V): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Represents the variable as a monic monomial.
|
* Represents the variable as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("unaryPlusVariable")
|
@JvmName("unaryPlusVariable")
|
||||||
|
@JsName("unaryPlusVariable")
|
||||||
public operator fun V.unaryPlus(): P
|
public operator fun V.unaryPlus(): P
|
||||||
/**
|
/**
|
||||||
* Returns negation of representation of the variable as a monic monomial.
|
* Returns negation of representation of the variable as a monic monomial.
|
||||||
*/
|
*/
|
||||||
@JvmName("unaryMinusVariable")
|
@JvmName("unaryMinusVariable")
|
||||||
|
@JsName("unaryMinusVariable")
|
||||||
public operator fun V.unaryMinus(): P
|
public operator fun V.unaryMinus(): P
|
||||||
/**
|
/**
|
||||||
* Returns sum of the variables represented as monic monomials.
|
* Returns sum of the variables represented as monic monomials.
|
||||||
*/
|
*/
|
||||||
@JvmName("plusVariableVariable")
|
@JvmName("plusVariableVariable")
|
||||||
|
@JsName("plusVariableVariable")
|
||||||
public operator fun V.plus(other: V): P
|
public operator fun V.plus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns difference between the variables represented as monic monomials.
|
* Returns difference between the variables represented as monic monomials.
|
||||||
*/
|
*/
|
||||||
@JvmName("minusVariableVariable")
|
@JvmName("minusVariableVariable")
|
||||||
|
@JsName("minusVariableVariable")
|
||||||
public operator fun V.minus(other: V): P
|
public operator fun V.minus(other: V): P
|
||||||
/**
|
/**
|
||||||
* Returns product of the variables represented as monic monomials.
|
* Returns product of the variables represented as monic monomials.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesVariableVariable")
|
@JvmName("timesVariableVariable")
|
||||||
|
@JsName("timesVariableVariable")
|
||||||
public operator fun V.times(other: V): P
|
public operator fun V.times(other: V): P
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -1218,11 +1329,13 @@ public interface MultivariateRationalFunctionSpace<
|
|||||||
* Represents the [variable] as a rational function.
|
* Represents the [variable] as a rational function.
|
||||||
*/
|
*/
|
||||||
@JvmName("numberVariable")
|
@JvmName("numberVariable")
|
||||||
|
@JsName("numberVariable")
|
||||||
public fun number(variable: V): R = number(polynomialNumber(variable))
|
public fun number(variable: V): R = number(polynomialNumber(variable))
|
||||||
/**
|
/**
|
||||||
* Represents the variable as a rational function.
|
* Represents the variable as a rational function.
|
||||||
*/
|
*/
|
||||||
@JvmName("asRationalFunctionVariable")
|
@JvmName("asRationalFunctionVariable")
|
||||||
|
@JsName("asRationalFunctionVariable")
|
||||||
public fun V.asRationalFunction(): R = number(this)
|
public fun V.asRationalFunction(): R = number(this)
|
||||||
|
|
||||||
/**
|
/**
|
||||||
@ -1339,7 +1452,7 @@ public interface MultivariateRationalFunctionSpace<
|
|||||||
public interface MultivariateRationalFunctionSpaceOverMultivariatePolynomialSpace<
|
public interface MultivariateRationalFunctionSpaceOverMultivariatePolynomialSpace<
|
||||||
C,
|
C,
|
||||||
V,
|
V,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>,
|
R: RationalFunction<C, P>,
|
||||||
out AP: MultivariatePolynomialSpace<C, V, P>,
|
out AP: MultivariatePolynomialSpace<C, V, P>,
|
||||||
> : RationalFunctionSpaceOverPolynomialSpace<C, P, R, AP>, MultivariateRationalFunctionSpace<C, V, P, R> {
|
> : RationalFunctionSpaceOverPolynomialSpace<C, P, R, AP>, MultivariateRationalFunctionSpace<C, V, P, R> {
|
||||||
@ -1516,7 +1629,7 @@ public interface MultivariateRationalFunctionSpaceOverMultivariatePolynomialSpac
|
|||||||
public abstract class MultivariatePolynomialSpaceOfFractions<
|
public abstract class MultivariatePolynomialSpaceOfFractions<
|
||||||
C,
|
C,
|
||||||
V,
|
V,
|
||||||
P: Polynomial<C>,
|
P,
|
||||||
R: RationalFunction<C, P>,
|
R: RationalFunction<C, P>,
|
||||||
> : MultivariateRationalFunctionSpace<C, V, P, R>, PolynomialSpaceOfFractions<C, P, R>() {
|
> : MultivariateRationalFunctionSpace<C, V, P, R>, PolynomialSpaceOfFractions<C, P, R>() {
|
||||||
/**
|
/**
|
||||||
@ -1568,7 +1681,6 @@ public abstract class MultivariatePolynomialSpaceOfFractions<
|
|||||||
/**
|
/**
|
||||||
* Returns product of the rational function and the variable represented as a rational function.
|
* Returns product of the rational function and the variable represented as a rational function.
|
||||||
*/
|
*/
|
||||||
@JvmName("timesRationalVariable")
|
|
||||||
public override operator fun R.times(other: V): R =
|
public override operator fun R.times(other: V): R =
|
||||||
constructRationalFunction(
|
constructRationalFunction(
|
||||||
numerator * other,
|
numerator * other,
|
||||||
|
Loading…
Reference in New Issue
Block a user