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Feature: Polynomials and rational functions #469

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lounres merged 132 commits from feature/polynomials into dev 2022-07-28 18:04:06 +03:00
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24
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Polynomial.kt
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@ -416,35 +416,59 @@ public interface PolynomialSpaceOverRing<C, P: Polynomial<C>, A: Ring<C>> : Poly
public override val constantOne: C get() = ring.one
}
@Suppress("INAPPLICABLE_JVM_NAME")
public interface MultivariatePolynomialSpace<C, V, P: Polynomial<C>>: PolynomialSpace<C, P> {
@JvmName("VariableIntPlus")
public operator fun V.plus(other: Int): P
@JvmName("VariableIntMinus")
public operator fun V.minus(other: Int): P
@JvmName("VariableIntMinusTimes")
public operator fun V.times(other: Int): P
@JvmName("IntVariablePlus")
public operator fun Int.plus(other: V): P
@JvmName("IntVariableMinus")
public operator fun Int.minus(other: V): P
@JvmName("IntVariableTimes")
public operator fun Int.times(other: V): P
@JvmName("ConstantVariablePlus")
public operator fun C.plus(other: V): P
@JvmName("ConstantVariableMinus")
public operator fun C.minus(other: V): P
@JvmName("ConstantVariableTimes")
public operator fun C.times(other: V): P
@JvmName("VariableConstantPlus")
public operator fun V.plus(other: C): P
@JvmName("VariableConstantMinus")
public operator fun V.minus(other: C): P
@JvmName("VariableConstantTimes")
public operator fun V.times(other: C): P
@JvmName("VariableUnaryPlus")
public operator fun V.unaryPlus(): P
@JvmName("VariableUnaryMinus")
public operator fun V.unaryMinus(): P
@JvmName("VariablePlus")
public operator fun V.plus(other: V): P
@JvmName("VariableMinus")
public operator fun V.minus(other: V): P
@JvmName("VariableTimes")
public operator fun V.times(other: V): P
@JvmName("VariablePolynomialPlus")
public operator fun V.plus(other: P): P
@JvmName("VariablePolynomialMinus")
public operator fun V.minus(other: P): P
@JvmName("VariablePolynomialTimes")
public operator fun V.times(other: P): P
@JvmName("PolynomialVariablePlus")
public operator fun P.plus(other: V): P
@JvmName("PolynomialVariableMinus")
public operator fun P.minus(other: V): P
@JvmName("PolynomialVariableTimes")
public operator fun P.times(other: V): P
/**

61
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/RationalFunction.kt
View File

@ -1308,48 +1308,78 @@ public abstract class PolynomialSpaceOfFractions<
public override val one: R get() = constructRationalFunction(polynomialOne)
}
@Suppress("INAPPLICABLE_JVM_NAME")
public interface MultivariateRationalFunctionalSpace<
C,
V,
P: Polynomial<C>,
R: RationalFunction<C, P>
>: RationalFunctionalSpace<C, P, R> {
@JvmName("VariableIntPlus")
public operator fun V.plus(other: Int): P
@JvmName("VariableIntMinus")
public operator fun V.minus(other: Int): P
@JvmName("VariableIntMinusTimes")
public operator fun V.times(other: Int): P
@JvmName("IntVariablePlus")
public operator fun Int.plus(other: V): P
@JvmName("IntVariableMinus")
public operator fun Int.minus(other: V): P
@JvmName("IntVariableTimes")
public operator fun Int.times(other: V): P
@JvmName("ConstantVariablePlus")
public operator fun C.plus(other: V): P
@JvmName("ConstantVariableMinus")
public operator fun C.minus(other: V): P
@JvmName("ConstantVariableTimes")
public operator fun C.times(other: V): P
@JvmName("VariableConstantPlus")
public operator fun V.plus(other: C): P
@JvmName("VariableConstantMinus")
public operator fun V.minus(other: C): P
@JvmName("VariableConstantTimes")
public operator fun V.times(other: C): P
@JvmName("VariableUnaryPlus")
public operator fun V.unaryPlus(): P
@JvmName("VariableUnaryMinus")
public operator fun V.unaryMinus(): P
@JvmName("VariablePlus")
public operator fun V.plus(other: V): P
@JvmName("VariableMinus")
public operator fun V.minus(other: V): P
@JvmName("VariableTimes")
public operator fun V.times(other: V): P
@JvmName("VariablePolynomialPlus")
public operator fun V.plus(other: P): P
@JvmName("VariablePolynomialMinus")
public operator fun V.minus(other: P): P
@JvmName("VariablePolynomialTimes")
public operator fun V.times(other: P): P
@JvmName("PolynomialVariablePlus")
public operator fun P.plus(other: V): P
@JvmName("PolynomialVariableMinus")
public operator fun P.minus(other: V): P
@JvmName("PolynomialVariableTimes")
public operator fun P.times(other: V): P
@JvmName("VariableRationalFunctionPlus")
public operator fun V.plus(other: R): R
@JvmName("VariableRationalFunctionMinus")
public operator fun V.minus(other: R): R
@JvmName("VariableRationalFunctionTimes")
public operator fun V.times(other: R): R
@JvmName("RationalFunctionVariablePlus")
public operator fun R.plus(other: V): R
@JvmName("RationalFunctionVariableMinus")
public operator fun R.minus(other: V): R
@JvmName("RationalFunctionVariableTimes")
public operator fun R.times(other: V): R
/**
@ -1403,6 +1433,7 @@ public interface MultivariateRationalFunctionalSpaceOverPolynomialSpace<
AP: PolynomialSpace<C, P>,
> : RationalFunctionalSpaceOverPolynomialSpace<C, P, R, AP>, MultivariateRationalFunctionalSpace<C, V, P, R>
@Suppress("INAPPLICABLE_JVM_NAME")
public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSpace<
C,
V,
@ -1410,34 +1441,57 @@ public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSp
R: RationalFunction<C, P>,
AP: MultivariatePolynomialSpace<C, V, P>,
> : MultivariateRationalFunctionalSpaceOverPolynomialSpace<C, V, P, R, AP> {
@JvmName("VariableIntPlus")
public override operator fun V.plus(other: Int): P = polynomialRing { this@plus + other }
@JvmName("VariableIntMinus")
public override operator fun V.minus(other: Int): P = polynomialRing { this@minus - other }
@JvmName("VariableIntMinusTimes")
public override operator fun V.times(other: Int): P = polynomialRing { this@times * other }
@JvmName("IntVariablePlus")
public override operator fun Int.plus(other: V): P = polynomialRing { this@plus + other }
@JvmName("IntVariableMinus")
public override operator fun Int.minus(other: V): P = polynomialRing { this@minus - other }
@JvmName("IntVariableTimes")
public override operator fun Int.times(other: V): P = polynomialRing { this@times * other }
@JvmName("ConstantVariablePlus")
public override operator fun C.plus(other: V): P = polynomialRing { this@plus + other }
@JvmName("ConstantVariableMinus")
public override operator fun C.minus(other: V): P = polynomialRing { this@minus - other }
@JvmName("ConstantVariableTimes")
public override operator fun C.times(other: V): P = polynomialRing { this@times * other }
@JvmName("VariableConstantPlus")
public override operator fun V.plus(other: C): P = polynomialRing { this@plus + other }
@JvmName("VariableConstantMinus")
public override operator fun V.minus(other: C): P = polynomialRing { this@minus - other }
@JvmName("VariableConstantTimes")
public override operator fun V.times(other: C): P = polynomialRing { this@times * other }
@JvmName("VariableUnaryPlus")
public override operator fun V.unaryPlus(): P = polynomialRing { +this@unaryPlus }
@JvmName("VariableUnaryMinus")
public override operator fun V.unaryMinus(): P = polynomialRing { -this@unaryMinus }
@JvmName("VariablePlus")
public override operator fun V.plus(other: V): P = polynomialRing { this@plus + other }
@JvmName("VariableMinus")
public override operator fun V.minus(other: V): P = polynomialRing { this@minus - other }
@JvmName("VariableTimes")
public override operator fun V.times(other: V): P = polynomialRing { this@times * other }
@JvmName("VariablePolynomialPlus")
public override operator fun V.plus(other: P): P = polynomialRing { this@plus + other }
@JvmName("VariablePolynomialMinus")
public override operator fun V.minus(other: P): P = polynomialRing { this@minus - other }
@JvmName("VariablePolynomialTimes")
public override operator fun V.times(other: P): P = polynomialRing { this@times * other }
@JvmName("PolynomialVariablePlus")
public override operator fun P.plus(other: V): P = polynomialRing { this@plus + other }
@JvmName("PolynomialVariableMinus")
public override operator fun P.minus(other: V): P = polynomialRing { this@minus - other }
@JvmName("PolynomialVariableTimes")
public override operator fun P.times(other: V): P = polynomialRing { this@times * other }
/**
@ -1466,38 +1520,45 @@ public interface MultivariateRationalFunctionalSpaceOverMultivariatePolynomialSp
public override val P.countOfVariables: Int get() = polynomialRing { countOfVariables }
}
@Suppress("INAPPLICABLE_JVM_NAME")
public abstract class MultivariatePolynomialSpaceOfFractions<
C,
V,
P: Polynomial<C>,
R: RationalFunction<C, P>,
> : MultivariateRationalFunctionalSpace<C, V, P, R>, PolynomialSpaceOfFractions<C, P, R>() {
@JvmName("VariableRationalFunctionPlus")
public override operator fun V.plus(other: R): R =
constructRationalFunction(
this * other.denominator + other.numerator,
other.denominator
)
@JvmName("VariableRationalFunctionMinus")
public override operator fun V.minus(other: R): R =
constructRationalFunction(
this * other.denominator - other.numerator,
other.denominator
)
@JvmName("VariableRationalFunctionTimes")
public override operator fun V.times(other: R): R =
constructRationalFunction(
this * other.numerator,
other.denominator
)
@JvmName("RationalFunctionVariablePlus")
public override operator fun R.plus(other: V): R =
constructRationalFunction(
numerator + denominator * other,
denominator
)
@JvmName("RationalFunctionVariableMinus")
public override operator fun R.minus(other: V): R =
constructRationalFunction(
numerator - denominator * other,
denominator
)
@JvmName("RationalFunctionVariableTimes")
public override operator fun R.times(other: V): R =
constructRationalFunction(
numerator * other,