Last cosmetic changes.
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@ -50,7 +50,7 @@ public data class Polynomial<out C>(
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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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) {
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) {
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override fun toString(): String = "ListPolynomial$coefficients"
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override fun toString(): String = "Polynomial$coefficients"
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}
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}
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/**
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/**
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@ -63,7 +63,7 @@ public data class Polynomial<out C>(
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*/
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*/
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public open class PolynomialSpace<C, A>(
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public open class PolynomialSpace<C, A>(
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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 used by local operations on constants and polynomials.
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*/
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*/
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public val ring: A,
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public val ring: A,
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) : Ring<Polynomial<C>>, ScaleOperations<Polynomial<C>> where A : Ring<C>, A : ScaleOperations<C> {
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) : Ring<Polynomial<C>>, ScaleOperations<Polynomial<C>> where A : Ring<C>, A : ScaleOperations<C> {
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@ -191,61 +191,54 @@ public open class PolynomialSpace<C, A>(
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/**
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/**
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* Returns negation of the polynomial.
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* Returns negation of the polynomial.
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*/
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*/
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public override operator fun Polynomial<C>.unaryMinus(): Polynomial<C> =
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public override operator fun Polynomial<C>.unaryMinus(): Polynomial<C> = ring {
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with(ring) {
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Polynomial(coefficients.map { -it })
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Polynomial(coefficients.map { -it })
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}
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}
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/**
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/**
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* Returns sum of the polynomials.
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* Returns sum of the polynomials.
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*/
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*/
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public override operator fun Polynomial<C>.plus(other: Polynomial<C>): Polynomial<C> {
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public override operator fun Polynomial<C>.plus(other: Polynomial<C>): Polynomial<C> = ring {
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with(ring) {
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val thisDegree = degree
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val thisDegree = degree
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val otherDegree = other.degree
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val otherDegree = other.degree
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return Polynomial(
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return Polynomial(
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List(max(thisDegree, otherDegree) + 1) {
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List(max(thisDegree, otherDegree) + 1) {
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when {
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when {
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it > thisDegree -> other.coefficients[it]
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it > thisDegree -> other.coefficients[it]
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it > otherDegree -> coefficients[it]
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it > otherDegree -> coefficients[it]
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else -> coefficients[it] + other.coefficients[it]
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else -> coefficients[it] + other.coefficients[it]
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}
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}
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}
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)
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}
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}
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)
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}
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}
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/**
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/**
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* Returns difference of the polynomials.
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* Returns difference of the polynomials.
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*/
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*/
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public override operator fun Polynomial<C>.minus(other: Polynomial<C>): Polynomial<C> {
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public override operator fun Polynomial<C>.minus(other: Polynomial<C>): Polynomial<C> = ring {
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with(ring) {
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val thisDegree = degree
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val thisDegree = degree
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val otherDegree = other.degree
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val otherDegree = other.degree
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return Polynomial(
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return Polynomial(
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List(max(thisDegree, otherDegree) + 1) {
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List(max(thisDegree, otherDegree) + 1) {
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when {
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when {
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it > thisDegree -> -other.coefficients[it]
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it > thisDegree -> -other.coefficients[it]
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it > otherDegree -> coefficients[it]
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it > otherDegree -> coefficients[it]
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else -> coefficients[it] - other.coefficients[it]
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else -> coefficients[it] - other.coefficients[it]
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}
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}
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}
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)
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}
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}
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)
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}
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}
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/**
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/**
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* Returns product of the polynomials.
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* Returns product of the polynomials.
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*/
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*/
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public override operator fun Polynomial<C>.times(other: Polynomial<C>): Polynomial<C> {
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public override operator fun Polynomial<C>.times(other: Polynomial<C>): Polynomial<C> = ring {
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with(ring) {
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val thisDegree = degree
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val thisDegree = degree
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val otherDegree = other.degree
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val otherDegree = other.degree
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return Polynomial(
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return Polynomial(
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List(thisDegree + otherDegree + 1) { d ->
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List(thisDegree + otherDegree + 1) { d ->
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(max(0, d - otherDegree)..min(thisDegree, d))
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(max(0, d - otherDegree)..min(thisDegree, d))
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.map { coefficients[it] * other.coefficients[d - it] }
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.map { coefficients[it] * other.coefficients[d - it] }
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.reduce { acc, rational -> acc + rational }
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.reduce { acc, rational -> acc + rational }
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}
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}
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)
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)
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}
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}
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}
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/**
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/**
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@ -91,7 +91,7 @@ public fun <C, A> Polynomial<C>.integrate(
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public fun <C : Comparable<C>> Polynomial<C>.integrate(
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public fun <C : Comparable<C>> Polynomial<C>.integrate(
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ring: Field<C>,
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ring: Field<C>,
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range: ClosedRange<C>,
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range: ClosedRange<C>,
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): C {
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): C = ring {
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val antiderivative = integrate(ring)
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val antiderivative = integrate(ring)
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return ring { antiderivative.value(ring, range.endInclusive) - antiderivative.value(ring, range.start) }
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return antiderivative.value(ring, range.endInclusive) - antiderivative.value(ring, range.start)
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}
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}
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