0.3.4

core/gay.zharel.hermes.math

Package-level declarations

Types

@Serializable

class Arclength : DualParameter

Arclength parameter for DualNum

@Serializable

class DualNum<Param : DualParameter>(values: DoubleArray)

sealed interface DualParameter

IntegralScanResult

@Serializable

data class IntegralScanResult(val values: List<Double>, val sums: List<Double>)

Data class representing the result of an integral scan.

@Serializable

class Internal : DualParameter

Parameter for DualNum for internal use only.

InterpolatingMap

class InterpolatingMap<T> : NavigableMap<Double, T>

A navigable map that supports interpolation between values.

LDLTDecomposition

data class LDLTDecomposition

Data class for LDLT decomposition.

LLTDecomposition

data class LLTDecomposition

Data class for LLT (Cholesky) decomposition, with rank-1 update/downdate.

LUDecomposition

data class LUDecomposition

Data class for LU decomposition.

class Matrix

Represents a matrix of doubles. Internally represented as a SimpleMatrix from EJML.

data class MinMax(val min: Double, val max: Double)

Data class representing a minimum and maximum value pair.

QRDecomposition

data class QRDecomposition

Data class for QR decomposition.

@Serializable

class Time : DualParameter

Time parameter for DualNum

Functions

fun antiLerp(value: Double, low: Double, high: Double): Double

fun <Param : DualParameter> atan2(y: DualNum<Param>, x: DualNum<Param>): DualNum<Param>

fun clamp(x: Double, lo: Double, hi: Double): Double

Clamps x to the range [lo, hi].

fun Int.fact(): Int

Computes the factorial of this integer.

fun integralScan(a: Double, b: Double, eps: Double, f: (Double) -> Double): IntegralScanResult

fun lerp(low: Double, high: Double, t: Double): Double

fun lerp(x: Double, fromLo: Double, fromHi: Double, toLo: Double, toHi: Double): Double

fun <Param : DualParameter> lerpDual(x: Double, fromLo: Double, fromHi: Double, toLo: DualNum<Param>, toHi: DualNum<Param>): DualNum<Param>

fun lerpLookup(source: List<Double>, target: List<Double>, query: Double): Double

Searches for the nearest value in source to the given query value. If query exactly matches a value in source, the corresponding value in target is returned. If not, the two nearest values in source are found, and linear interpolation is performed between the corresponding values in target.

fun lerpLookupMap(source: List<Double>, target: List<Double>, queries: List<Double>): List<Double>

Performs linear interpolation lookup for a list of query values.

fun lerpMatrix(start: Matrix, end: Matrix, t: Double): Matrix

makeBrysonMatrix

fun makeBrysonMatrix(vararg tolerances: Double): Matrix

Creates a cost matrix from the given tolerances using Bryson's rule.

fun range(begin: Double, end: Double, samples: Int): List<Double>

fun rangeCentered(begin: Double, end: Double, samples: Int): List<Double>

fun sinc(x: Double): Double

fun snz(x: Double): Double

Returns a small value with the same sign as x.

fun solveMatrices(a: Matrix, b: Matrix): Matrix

Solves for X in the equation \(aX = b)\.