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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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12
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/NumberedPolynomial.kt
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@ -471,6 +471,18 @@ public open class NumberedPolynomialSpace<C, A : Ring<C>>(
} }
} }
} }
/**
* Counts degree of the polynomial by the specified [variable].
*/
public fun NumberedPolynomial<C>.degreeBy(variable: Int): UInt =
coefficients.entries.maxOfOrNull { (degs, c) -> if (c.isZero()) 0u else degs.getOrElse(variable) { 0u } } ?: 0u
/**
* Counts degree of the polynomial by the specified [variables].
*/
public fun NumberedPolynomial<C>.degreeBy(variables: Collection<Int>): UInt =
coefficients.entries.maxOfOrNull { (degs, c) ->
if (c.isZero()) 0u else degs.withIndex().filter { (index, _) -> index in variables }.sumOf { it.value }
} ?: 0u
/** /**
* Count of variables occurring in the polynomial with positive power. If there is no such variable, * Count of variables occurring in the polynomial with positive power. If there is no such variable,
* the result is `0`. * the result is `0`.

8
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/NumberedRationalFunction.kt
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@ -126,6 +126,14 @@ public class NumberedRationalFunctionSpace<C, A: Ring<C>> (
* And last index of the list is [lastVariable]. * And last index of the list is [lastVariable].
*/ */
public val NumberedPolynomial<C>.degrees: List<UInt> get() = polynomialRing { degrees } public val NumberedPolynomial<C>.degrees: List<UInt> get() = polynomialRing { degrees }
/**
* Counts degree of the polynomial by the specified [variable].
*/
public fun NumberedPolynomial<C>.degreeBy(variable: Int): UInt = polynomialRing { degreeBy(variable) }
/**
* Counts degree of the polynomial by the specified [variables].
*/
public fun NumberedPolynomial<C>.degreeBy(variables: Collection<Int>): UInt = polynomialRing { degreeBy(variables) }
/** /**
* Count of variables occurring in the polynomial with positive power. If there is no such variable, * Count of variables occurring in the polynomial with positive power. If there is no such variable,
* the result is `0`. * the result is `0`.