Calculates a normalization factor based on the maximum value between two given numbers and the exponent of that maximum value. The normalization factor ensures that values within a certain range are normalized appropriately.

fun normalizationFactor(a: Double, b: Double, c: Double): Double

Calculates a normalization factor based on the maximum value among the input parameters and their exponent. It ensures the result lies within a reasonable range for numerical stability.

fun normalizationFactor(a: Double, b: Double, c: Double, d: Double): Double

Computes a normalization factor for a given set of four double values. The normalization ensures values are scaled properly based on their maximum magnitude.

normalize

fun normalize(a: Double, b: Double, n: Double): Double

permutations

inline fun <V> permutations(values: List<V>): List<List<V>>

Generates permutations of the given list of values. If the size of the list exceeds a certain limit, it returns a fixed number of randomly shuffled permutations. Otherwise, it calculates all possible permutations.

powerOfTwoD

fun powerOfTwoD(exp: Double): Double

solveCubic

fun solveCubic(a: Double, b: Double, c: Double, d: Double): DoubleArray

Solves a cubic equation of the form ax^3 + bx^2 + cx + d = 0 and returns its real roots.

fun solveCubic(a: Double, b: Double, c: Double, d: Double, acc: DoubleArray): Int

solveLinear

fun solveLinear(a: Double, b: Double): DoubleArray

Solves a linear equation of the form ax + b = 0 and returns the solution(s) as an array of doubles.

fun solveLinear(a: Double, b: Double, acc: DoubleArray): Int

Solves a linear equation of the form ax + b = 0 and stores the solution in the provided array.

solveQuadratic

fun solveQuadratic(a: Double, b: Double, c: Double): DoubleArray

fun solveQuadratic(a: Double, b: Double, c: Double, acc: DoubleArray): Int

sort

@JvmName(name = "kartifexHackSort2")

fun <T> sort(a: Array<T>, start: Int = 0, end: Int = a.size, selector: (T) -> Double)

Sorts a given array within a specified range based on a selector function that maps each element to a Double value.

sort

@JvmName(name = "kartifexHackSort1")

fun <T> Array<T>.sort(start: Int = 0, end: Int = size, selector: (T) -> Double)

swap

fun <V> swap(ary: Array<V>, i: Int, j: Int)

Swaps the elements at two specified indices in the given array.

ulp

fun ulp(d: Double): Double