Dev #280

Merged
altavir merged 99 commits from dev into master 2021-04-16 19:45:55 +03:00
18 changed files with 296 additions and 247 deletions
Showing only changes of commit cd05ca6e95 - Show all commits

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@ -11,10 +11,7 @@ allprojects {
jcenter() jcenter()
maven("https://clojars.org/repo") maven("https://clojars.org/repo")
maven("https://dl.bintray.com/egor-bogomolov/astminer/") maven("https://dl.bintray.com/egor-bogomolov/astminer/")
maven("https://dl.bintray.com/kotlin/kotlin-eap") maven("https://dl.bintray.com/hotkeytlt/maven")
maven("https://dl.bintray.com/kotlin/kotlinx")
maven("https://dl.bintray.com/mipt-npm/dev")
maven("https://dl.bintray.com/mipt-npm/kscience")
maven("https://jitpack.io") maven("https://jitpack.io")
maven("http://logicrunch.research.it.uu.se/maven/") maven("http://logicrunch.research.it.uu.se/maven/")
mavenCentral() mavenCentral()

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@ -15,10 +15,7 @@ import space.kscience.kmath.expressions.SymbolIndexer
import space.kscience.kmath.expressions.derivative import space.kscience.kmath.expressions.derivative
import space.kscience.kmath.misc.Symbol import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.optimization.FunctionOptimization import space.kscience.kmath.optimization.*
import space.kscience.kmath.optimization.OptimizationFeature
import space.kscience.kmath.optimization.OptimizationProblemFactory
import space.kscience.kmath.optimization.OptimizationResult
import kotlin.reflect.KClass import kotlin.reflect.KClass
public operator fun PointValuePair.component1(): DoubleArray = point public operator fun PointValuePair.component1(): DoubleArray = point
@ -27,7 +24,8 @@ public operator fun PointValuePair.component2(): Double = value
@OptIn(UnstableKMathAPI::class) @OptIn(UnstableKMathAPI::class)
public class CMOptimization( public class CMOptimization(
override val symbols: List<Symbol>, override val symbols: List<Symbol>,
) : FunctionOptimization<Double>, SymbolIndexer, OptimizationFeature { ) : FunctionOptimization<Double>, NoDerivFunctionOptimization<Double>, SymbolIndexer, OptimizationFeature {
private val optimizationData: HashMap<KClass<out OptimizationData>, OptimizationData> = HashMap() private val optimizationData: HashMap<KClass<out OptimizationData>, OptimizationData> = HashMap()
private var optimizerBuilder: (() -> MultivariateOptimizer)? = null private var optimizerBuilder: (() -> MultivariateOptimizer)? = null
public var convergenceChecker: ConvergenceChecker<PointValuePair> = SimpleValueChecker( public var convergenceChecker: ConvergenceChecker<PointValuePair> = SimpleValueChecker(
@ -36,6 +34,12 @@ public class CMOptimization(
DEFAULT_MAX_ITER DEFAULT_MAX_ITER
) )
override var maximize: Boolean
get() = optimizationData[GoalType::class] == GoalType.MAXIMIZE
set(value) {
optimizationData[GoalType::class] = if (value) GoalType.MAXIMIZE else GoalType.MINIMIZE
}
public fun addOptimizationData(data: OptimizationData) { public fun addOptimizationData(data: OptimizationData) {
optimizationData[data::class] = data optimizationData[data::class] = data
} }
@ -50,7 +54,7 @@ public class CMOptimization(
addOptimizationData(InitialGuess(map.toDoubleArray())) addOptimizationData(InitialGuess(map.toDoubleArray()))
} }
public override fun expression(expression: Expression<Double>): Unit { public override fun function(expression: Expression<Double>): Unit {
val objectiveFunction = ObjectiveFunction { val objectiveFunction = ObjectiveFunction {
val args = it.toMap() val args = it.toMap()
expression(args) expression(args)
@ -58,8 +62,8 @@ public class CMOptimization(
addOptimizationData(objectiveFunction) addOptimizationData(objectiveFunction)
} }
public override fun diffExpression(expression: DifferentiableExpression<Double, Expression<Double>>) { public override fun diffFunction(expression: DifferentiableExpression<Double, Expression<Double>>) {
expression(expression) function(expression)
val gradientFunction = ObjectiveFunctionGradient { val gradientFunction = ObjectiveFunctionGradient {
val args = it.toMap() val args = it.toMap()
DoubleArray(symbols.size) { index -> DoubleArray(symbols.size) { index ->

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@ -1,13 +1,13 @@
package space.kscience.kmath.commons.optimization package space.kscience.kmath.commons.optimization
import org.apache.commons.math3.analysis.differentiation.DerivativeStructure import org.apache.commons.math3.analysis.differentiation.DerivativeStructure
import org.apache.commons.math3.optim.nonlinear.scalar.GoalType
import space.kscience.kmath.commons.expressions.DerivativeStructureField import space.kscience.kmath.commons.expressions.DerivativeStructureField
import space.kscience.kmath.expressions.DifferentiableExpression import space.kscience.kmath.expressions.DifferentiableExpression
import space.kscience.kmath.expressions.Expression import space.kscience.kmath.expressions.Expression
import space.kscience.kmath.misc.Symbol import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.optimization.FunctionOptimization import space.kscience.kmath.optimization.FunctionOptimization
import space.kscience.kmath.optimization.OptimizationResult import space.kscience.kmath.optimization.OptimizationResult
import space.kscience.kmath.optimization.noDerivOptimizeWith
import space.kscience.kmath.optimization.optimizeWith import space.kscience.kmath.optimization.optimizeWith
import space.kscience.kmath.structures.Buffer import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asBuffer import space.kscience.kmath.structures.asBuffer
@ -44,7 +44,7 @@ public fun FunctionOptimization.Companion.chiSquared(
public fun Expression<Double>.optimize( public fun Expression<Double>.optimize(
vararg symbols: Symbol, vararg symbols: Symbol,
configuration: CMOptimization.() -> Unit, configuration: CMOptimization.() -> Unit,
): OptimizationResult<Double> = optimizeWith(CMOptimization, symbols = symbols, configuration) ): OptimizationResult<Double> = noDerivOptimizeWith(CMOptimization, symbols = symbols, configuration)
/** /**
* Optimize differentiable expression * Optimize differentiable expression
@ -58,10 +58,11 @@ public fun DifferentiableExpression<Double, Expression<Double>>.minimize(
vararg startPoint: Pair<Symbol, Double>, vararg startPoint: Pair<Symbol, Double>,
configuration: CMOptimization.() -> Unit = {}, configuration: CMOptimization.() -> Unit = {},
): OptimizationResult<Double> { ): OptimizationResult<Double> {
require(startPoint.isNotEmpty()) { "Must provide a list of symbols for optimization" } val symbols = startPoint.map { it.first }.toTypedArray()
val problem = CMOptimization(startPoint.map { it.first }).apply(configuration) return optimize(*symbols){
problem.diffExpression(this) maximize = false
problem.initialGuess(startPoint.toMap()) initialGuess(startPoint.toMap())
problem.goal(GoalType.MINIMIZE) diffFunction(this@minimize)
return problem.optimize() configuration()
}
} }

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@ -1,3 +1,18 @@
public final class space/kscience/kmath/data/ColumnarDataKt {
}
public final class space/kscience/kmath/data/XYColumnarData$DefaultImpls {
public static fun get (Lspace/kscience/kmath/data/XYColumnarData;Lspace/kscience/kmath/misc/Symbol;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/data/XYColumnarDataKt {
public static synthetic fun asXYData$default (Lspace/kscience/kmath/nd/Structure2D;IIILjava/lang/Object;)Lspace/kscience/kmath/data/XYColumnarData;
}
public final class space/kscience/kmath/data/XYZColumnarData$DefaultImpls {
public static fun get (Lspace/kscience/kmath/data/XYZColumnarData;Lspace/kscience/kmath/misc/Symbol;)Lspace/kscience/kmath/structures/Buffer;
}
public abstract interface class space/kscience/kmath/domains/Domain { public abstract interface class space/kscience/kmath/domains/Domain {
public abstract fun contains (Lspace/kscience/kmath/structures/Buffer;)Z public abstract fun contains (Lspace/kscience/kmath/structures/Buffer;)Z
public abstract fun getDimension ()I public abstract fun getDimension ()I
@ -603,15 +618,6 @@ public final class space/kscience/kmath/misc/CumulativeKt {
public static final fun cumulativeSumOfLong (Lkotlin/sequences/Sequence;)Lkotlin/sequences/Sequence; public static final fun cumulativeSumOfLong (Lkotlin/sequences/Sequence;)Lkotlin/sequences/Sequence;
} }
public final class space/kscience/kmath/misc/NDStructureColumn : space/kscience/kmath/structures/Buffer {
public fun <init> (Lspace/kscience/kmath/nd/Structure2D;I)V
public fun get (I)Ljava/lang/Object;
public final fun getColumn ()I
public fun getSize ()I
public final fun getStructure ()Lspace/kscience/kmath/nd/Structure2D;
public fun iterator ()Ljava/util/Iterator;
}
public final class space/kscience/kmath/misc/StringSymbol : space/kscience/kmath/misc/Symbol { public final class space/kscience/kmath/misc/StringSymbol : space/kscience/kmath/misc/Symbol {
public static final synthetic fun box-impl (Ljava/lang/String;)Lspace/kscience/kmath/misc/StringSymbol; public static final synthetic fun box-impl (Ljava/lang/String;)Lspace/kscience/kmath/misc/StringSymbol;
public static fun constructor-impl (Ljava/lang/String;)Ljava/lang/String; public static fun constructor-impl (Ljava/lang/String;)Ljava/lang/String;
@ -644,17 +650,6 @@ public final class space/kscience/kmath/misc/SymbolKt {
public abstract interface annotation class space/kscience/kmath/misc/UnstableKMathAPI : java/lang/annotation/Annotation { public abstract interface annotation class space/kscience/kmath/misc/UnstableKMathAPI : java/lang/annotation/Annotation {
} }
public final class space/kscience/kmath/misc/XYPointSet$DefaultImpls {
public static fun get (Lspace/kscience/kmath/misc/XYPointSet;Lspace/kscience/kmath/misc/Symbol;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/misc/XYPointSetKt {
}
public final class space/kscience/kmath/misc/XYZPointSet$DefaultImpls {
public static fun get (Lspace/kscience/kmath/misc/XYZPointSet;Lspace/kscience/kmath/misc/Symbol;)Lspace/kscience/kmath/structures/Buffer;
}
public abstract interface class space/kscience/kmath/nd/AlgebraND { public abstract interface class space/kscience/kmath/nd/AlgebraND {
public static final field Companion Lspace/kscience/kmath/nd/AlgebraND$Companion; public static final field Companion Lspace/kscience/kmath/nd/AlgebraND$Companion;
public abstract fun combine (Lspace/kscience/kmath/nd/StructureND;Lspace/kscience/kmath/nd/StructureND;Lkotlin/jvm/functions/Function3;)Lspace/kscience/kmath/nd/StructureND; public abstract fun combine (Lspace/kscience/kmath/nd/StructureND;Lspace/kscience/kmath/nd/StructureND;Lkotlin/jvm/functions/Function3;)Lspace/kscience/kmath/nd/StructureND;

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@ -0,0 +1,34 @@
package space.kscience.kmath.data
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.structures.Buffer
/**
* A column-based data set with all columns of the same size (not necessary fixed in time).
* The column could be retrieved by a [get] operation.
*/
@UnstableKMathAPI
public interface ColumnarData<out T> {
public val size: Int
public operator fun get(symbol: Symbol): Buffer<T>
}
/**
* A zero-copy method to represent a [Structure2D] as a two-column x-y data.
* There could more than two columns in the structure.
*/
@UnstableKMathAPI
public fun <T> Structure2D<T>.asColumnarData(mapping: Map<Symbol, Int>): ColumnarData<T> {
require(shape[1] >= mapping.maxOf { it.value }) { "Column index out of bounds" }
return object : ColumnarData<T> {
override val size: Int get() = shape[0]
override fun get(symbol: Symbol): Buffer<T> {
val index = mapping[symbol] ?: error("No column mapping for symbol $symbol")
return columns[index]
}
}
}

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@ -0,0 +1,55 @@
package space.kscience.kmath.data
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.structures.Buffer
import kotlin.math.max
/**
* The buffer of X values.
*/
@UnstableKMathAPI
public interface XYColumnarData<T, out X : T, out Y : T> : ColumnarData<T> {
/**
* The buffer of X values
*/
public val x: Buffer<X>
/**
* The buffer of Y values.
*/
public val y: Buffer<Y>
override fun get(symbol: Symbol): Buffer<T> = when (symbol) {
Symbol.x -> x
Symbol.y -> y
else -> error("A column for symbol $symbol not found")
}
}
@Suppress("FunctionName")
@UnstableKMathAPI
public fun <T, X : T, Y : T> XYColumnarData(x: Buffer<X>, y: Buffer<Y>): XYColumnarData<T, X, Y> {
require(x.size == y.size) { "Buffer size mismatch. x buffer size is ${x.size}, y buffer size is ${y.size}" }
return object : XYColumnarData<T, X, Y> {
override val size: Int = x.size
override val x: Buffer<X> = x
override val y: Buffer<Y> = y
}
}
/**
* A zero-copy method to represent a [Structure2D] as a two-column x-y data.
* There could more than two columns in the structure.
*/
@UnstableKMathAPI
public fun <T> Structure2D<T>.asXYData(xIndex: Int = 0, yIndex: Int = 1): XYColumnarData<T, T, T> {
require(shape[1] >= max(xIndex, yIndex)) { "Column index out of bounds" }
return object : XYColumnarData<T, T, T> {
override val size: Int get() = this@asXYData.shape[0]
override val x: Buffer<T> get() = columns[xIndex]
override val y: Buffer<T> get() = columns[yIndex]
}
}

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@ -0,0 +1,21 @@
package space.kscience.kmath.data
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.structures.Buffer
/**
* A [XYColumnarData] with guaranteed [x], [y] and [z] columns designated by corresponding symbols.
* Inherits [XYColumnarData].
*/
@UnstableKMathAPI
public interface XYZColumnarData<T, out X : T, out Y : T, out Z : T> : XYColumnarData<T, X, Y> {
public val z: Buffer<Z>
override fun get(symbol: Symbol): Buffer<T> = when (symbol) {
Symbol.x -> x
Symbol.y -> y
Symbol.z -> z
else -> error("A column for symbol $symbol not found")
}
}

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@ -1,15 +0,0 @@
package space.kscience.kmath.misc
import space.kscience.kmath.structures.Buffer
/**
* A column-based data set with all columns of the same size (not necessary fixed in time).
* The column could be retrieved by a [get] operation.
*/
@UnstableKMathAPI
public interface ColumnarData<out T> {
public val size: Int
public operator fun get(symbol: Symbol): Buffer<T>
}

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@ -1,98 +0,0 @@
package space.kscience.kmath.misc
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.structures.Buffer
/**
* Pair of associated buffers for X and Y axes values.
*
* @param X the type of X values.
* @param Y the type of Y values.
*/
public interface XYPointSet<X, Y> {
/**
* The size of all the involved buffers.
*/
public val size: Int
/**
* The buffer of X values.
*/
@UnstableKMathAPI
public interface XYPointSet<T, X : T, Y : T> : ColumnarData<T> {
public val x: Buffer<X>
/**
* The buffer of Y values.
*/
public val y: Buffer<Y>
override fun get(symbol: Symbol): Buffer<T> = when (symbol) {
Symbol.x -> x
Symbol.y -> y
else -> error("A column for symbol $symbol not found")
}
}
/**
* Triple of associated buffers for X, Y, and Z axes values.
*
* @param X the type of X values.
* @param Y the type of Y values.
* @param Z the type of Z values.
*/
public interface XYZPointSet<X, Y, Z> : XYPointSet<X, Y> {
/**
* The buffer of Z values.
*/
@UnstableKMathAPI
public interface XYZPointSet<T, X : T, Y : T, Z : T> : XYPointSet<T, X, Y> {
public val z: Buffer<Z>
override fun get(symbol: Symbol): Buffer<T> = when (symbol) {
Symbol.x -> x
Symbol.y -> y
Symbol.z -> z
else -> error("A column for symbol $symbol not found")
}
}
internal fun <T : Comparable<T>> insureSorted(points: XYPointSet<T, *>) {
for (i in 0 until points.size - 1)
require(points.x[i + 1] > points.x[i]) { "Input data is not sorted at index $i" }
}
public class NDStructureColumn<T>(public val structure: Structure2D<T>, public val column: Int) : Buffer<T> {
public override val size: Int
get() = structure.rowNum
init {
require(column < structure.colNum) { "Column index is outside of structure column range" }
}
public override operator fun get(index: Int): T = structure[index, column]
public override operator fun iterator(): Iterator<T> = sequence { repeat(size) { yield(get(it)) } }.iterator()
}
@UnstableKMathAPI
public class BufferXYPointSet<T, X : T, Y : T>(
public override val x: Buffer<X>,
public override val y: Buffer<Y>,
) : XYPointSet<T, X, Y> {
public override val size: Int get() = x.size
init {
require(x.size == y.size) { "Sizes of x and y buffers should be the same" }
}
}
@UnstableKMathAPI
public fun <T> Structure2D<T>.asXYPointSet(): XYPointSet<T, T, T> {
require(shape[1] == 2) { "Structure second dimension should be of size 2" }
return object : XYPointSet<T, T, T> {
override val size: Int get() = this@asXYPointSet.shape[0]
override val x: Buffer<T> get() = NDStructureColumn(this@asXYPointSet, 0)
override val y: Buffer<T> get() = NDStructureColumn(this@asXYPointSet, 1)
}
}

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@ -1,17 +1,17 @@
@file:OptIn(UnstableKMathAPI::class) @file:OptIn(UnstableKMathAPI::class)
package space.kscience.kmath.interpolation package space.kscience.kmath.interpolation
import space.kscience.kmath.data.XYColumnarData
import space.kscience.kmath.functions.PiecewisePolynomial import space.kscience.kmath.functions.PiecewisePolynomial
import space.kscience.kmath.functions.value import space.kscience.kmath.functions.value
import space.kscience.kmath.misc.BufferXYPointSet
import space.kscience.kmath.misc.UnstableKMathAPI import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.misc.XYPointSet
import space.kscience.kmath.operations.Ring import space.kscience.kmath.operations.Ring
import space.kscience.kmath.structures.Buffer import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asBuffer import space.kscience.kmath.structures.asBuffer
public fun interface Interpolator<T, X : T, Y : T> { public fun interface Interpolator<T, X : T, Y : T> {
public fun interpolate(points: XYPointSet<T, X, Y>): (X) -> Y public fun interpolate(points: XYColumnarData<T, X, Y>): (X) -> Y
} }
public interface PolynomialInterpolator<T : Comparable<T>> : Interpolator<T, T, T> { public interface PolynomialInterpolator<T : Comparable<T>> : Interpolator<T, T, T> {
@ -19,9 +19,9 @@ public interface PolynomialInterpolator<T : Comparable<T>> : Interpolator<T, T,
public fun getDefaultValue(): T = error("Out of bounds") public fun getDefaultValue(): T = error("Out of bounds")
public fun interpolatePolynomials(points: XYPointSet<T, T, T>): PiecewisePolynomial<T> public fun interpolatePolynomials(points: XYColumnarData<T, T, T>): PiecewisePolynomial<T>
override fun interpolate(points: XYPointSet<T, T, T>): (T) -> T = { x -> override fun interpolate(points: XYColumnarData<T, T, T>): (T) -> T = { x ->
interpolatePolynomials(points).value(algebra, x) ?: getDefaultValue() interpolatePolynomials(points).value(algebra, x) ?: getDefaultValue()
} }
} }
@ -31,20 +31,20 @@ public fun <T : Comparable<T>> PolynomialInterpolator<T>.interpolatePolynomials(
x: Buffer<T>, x: Buffer<T>,
y: Buffer<T>, y: Buffer<T>,
): PiecewisePolynomial<T> { ): PiecewisePolynomial<T> {
val pointSet = BufferXYPointSet(x, y) val pointSet = XYColumnarData(x, y)
return interpolatePolynomials(pointSet) return interpolatePolynomials(pointSet)
} }
public fun <T : Comparable<T>> PolynomialInterpolator<T>.interpolatePolynomials( public fun <T : Comparable<T>> PolynomialInterpolator<T>.interpolatePolynomials(
data: Map<T, T>, data: Map<T, T>,
): PiecewisePolynomial<T> { ): PiecewisePolynomial<T> {
val pointSet = BufferXYPointSet(data.keys.toList().asBuffer(), data.values.toList().asBuffer()) val pointSet = XYColumnarData(data.keys.toList().asBuffer(), data.values.toList().asBuffer())
return interpolatePolynomials(pointSet) return interpolatePolynomials(pointSet)
} }
public fun <T : Comparable<T>> PolynomialInterpolator<T>.interpolatePolynomials( public fun <T : Comparable<T>> PolynomialInterpolator<T>.interpolatePolynomials(
data: List<Pair<T, T>>, data: List<Pair<T, T>>,
): PiecewisePolynomial<T> { ): PiecewisePolynomial<T> {
val pointSet = BufferXYPointSet(data.map { it.first }.asBuffer(), data.map { it.second }.asBuffer()) val pointSet = XYColumnarData(data.map { it.first }.asBuffer(), data.map { it.second }.asBuffer())
return interpolatePolynomials(pointSet) return interpolatePolynomials(pointSet)
} }

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@ -1,15 +1,15 @@
package space.kscience.kmath.interpolation package space.kscience.kmath.interpolation
import space.kscience.kmath.data.XYColumnarData
import space.kscience.kmath.functions.OrderedPiecewisePolynomial import space.kscience.kmath.functions.OrderedPiecewisePolynomial
import space.kscience.kmath.functions.PiecewisePolynomial import space.kscience.kmath.functions.PiecewisePolynomial
import space.kscience.kmath.functions.Polynomial import space.kscience.kmath.functions.Polynomial
import space.kscience.kmath.misc.UnstableKMathAPI import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.misc.XYPointSet
import space.kscience.kmath.operations.Field import space.kscience.kmath.operations.Field
import space.kscience.kmath.operations.invoke import space.kscience.kmath.operations.invoke
@OptIn(UnstableKMathAPI::class) @OptIn(UnstableKMathAPI::class)
internal fun <T : Comparable<T>> insureSorted(points: XYPointSet<*, T, *>) { internal fun <T : Comparable<T>> insureSorted(points: XYColumnarData<*, T, *>) {
for (i in 0 until points.size - 1) for (i in 0 until points.size - 1)
require(points.x[i + 1] > points.x[i]) { "Input data is not sorted at index $i" } require(points.x[i + 1] > points.x[i]) { "Input data is not sorted at index $i" }
} }
@ -19,7 +19,7 @@ internal fun <T : Comparable<T>> insureSorted(points: XYPointSet<*, T, *>) {
*/ */
public class LinearInterpolator<T : Comparable<T>>(public override val algebra: Field<T>) : PolynomialInterpolator<T> { public class LinearInterpolator<T : Comparable<T>>(public override val algebra: Field<T>) : PolynomialInterpolator<T> {
@OptIn(UnstableKMathAPI::class) @OptIn(UnstableKMathAPI::class)
public override fun interpolatePolynomials(points: XYPointSet<T, T, T>): PiecewisePolynomial<T> = algebra { public override fun interpolatePolynomials(points: XYColumnarData<T, T, T>): PiecewisePolynomial<T> = algebra {
require(points.size > 0) { "Point array should not be empty" } require(points.size > 0) { "Point array should not be empty" }
insureSorted(points) insureSorted(points)

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@ -1,10 +1,10 @@
package space.kscience.kmath.interpolation package space.kscience.kmath.interpolation
import space.kscience.kmath.data.XYColumnarData
import space.kscience.kmath.functions.OrderedPiecewisePolynomial import space.kscience.kmath.functions.OrderedPiecewisePolynomial
import space.kscience.kmath.functions.PiecewisePolynomial import space.kscience.kmath.functions.PiecewisePolynomial
import space.kscience.kmath.functions.Polynomial import space.kscience.kmath.functions.Polynomial
import space.kscience.kmath.misc.UnstableKMathAPI import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.misc.XYPointSet
import space.kscience.kmath.operations.Field import space.kscience.kmath.operations.Field
import space.kscience.kmath.operations.invoke import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.MutableBufferFactory import space.kscience.kmath.structures.MutableBufferFactory
@ -23,7 +23,7 @@ public class SplineInterpolator<T : Comparable<T>>(
//TODO possibly optimize zeroed buffers //TODO possibly optimize zeroed buffers
@OptIn(UnstableKMathAPI::class) @OptIn(UnstableKMathAPI::class)
public override fun interpolatePolynomials(points: XYPointSet<T, T, T>): PiecewisePolynomial<T> = algebra { public override fun interpolatePolynomials(points: XYColumnarData<T, T, T>): PiecewisePolynomial<T> = algebra {
require(points.size >= 3) { "Can't use spline interpolator with less than 3 points" } require(points.size >= 3) { "Can't use spline interpolator with less than 3 points" }
insureSorted(points) insureSorted(points)
// Number of intervals. The number of data points is n + 1. // Number of intervals. The number of data points is n + 1.

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@ -18,8 +18,10 @@ import space.kscience.kmath.operations.NumericAlgebra
* @param A the [NumericAlgebra] of [T]. * @param A the [NumericAlgebra] of [T].
* @property expr the underlying [MstExpression]. * @property expr the underlying [MstExpression].
*/ */
public inline class DifferentiableMstExpression<T, A>(public val expr: MstExpression<T, A>) : public inline class DifferentiableMstExpression<T: Number, A>(
DifferentiableExpression<T, MstExpression<T, A>> where A : NumericAlgebra<T>, T : Number { public val expr: MstExpression<T, A>,
) : DifferentiableExpression<T, MstExpression<T, A>> where A : NumericAlgebra<T> {
public constructor(algebra: A, mst: MST) : this(MstExpression(algebra, mst)) public constructor(algebra: A, mst: MST) : this(MstExpression(algebra, mst))
/** /**

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@ -1,17 +0,0 @@
package space.kscience.kmath.optimization
import space.kscience.kmath.expressions.DifferentiableExpression
import space.kscience.kmath.misc.StringSymbol
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.structures.Buffer
public interface DataFit<T : Any> : Optimization<T> {
public fun modelAndData(
x: Buffer<T>,
y: Buffer<T>,
yErr: Buffer<T>,
model: DifferentiableExpression<T, *>,
xSymbol: Symbol = StringSymbol("x"),
)
}

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@ -4,43 +4,29 @@ import space.kscience.kmath.expressions.AutoDiffProcessor
import space.kscience.kmath.expressions.DifferentiableExpression import space.kscience.kmath.expressions.DifferentiableExpression
import space.kscience.kmath.expressions.Expression import space.kscience.kmath.expressions.Expression
import space.kscience.kmath.expressions.ExpressionAlgebra import space.kscience.kmath.expressions.ExpressionAlgebra
import space.kscience.kmath.misc.StringSymbol
import space.kscience.kmath.misc.Symbol import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.operations.ExtendedField import space.kscience.kmath.operations.ExtendedField
import space.kscience.kmath.structures.Buffer import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.indices import space.kscience.kmath.structures.indices
import kotlin.math.pow
/** /**
* A likelihood function optimization problem * A likelihood function optimization problem with provided derivatives
*/ */
public interface FunctionOptimization<T: Any>: Optimization<T>, DataFit<T> { public interface FunctionOptimization<T : Any> : Optimization<T> {
/**
* The optimization direction. If true search for function maximum, if false, search for the minimum
*/
public var maximize: Boolean
/** /**
* Define the initial guess for the optimization problem * Define the initial guess for the optimization problem
*/ */
public fun initialGuess(map: Map<Symbol, T>) public fun initialGuess(map: Map<Symbol, T>)
/**
* Set an objective function expression
*/
public fun expression(expression: Expression<T>)
/** /**
* Set a differentiable expression as objective function as function and gradient provider * Set a differentiable expression as objective function as function and gradient provider
*/ */
public fun diffExpression(expression: DifferentiableExpression<T, Expression<T>>) public fun diffFunction(expression: DifferentiableExpression<T, Expression<T>>)
override fun modelAndData(
x: Buffer<T>,
y: Buffer<T>,
yErr: Buffer<T>,
model: DifferentiableExpression<T, *>,
xSymbol: Symbol,
) {
require(x.size == y.size) { "X and y buffers should be of the same size" }
require(y.size == yErr.size) { "Y and yErr buffer should of the same size" }
}
public companion object { public companion object {
/** /**
@ -70,46 +56,22 @@ public interface FunctionOptimization<T: Any>: Optimization<T>, DataFit<T> {
sum sum
} }
} }
/**
* Generate a chi squared expression from given x-y-sigma model represented by an expression. Does not provide derivatives
*/
public fun chiSquared(
x: Buffer<Double>,
y: Buffer<Double>,
yErr: Buffer<Double>,
model: Expression<Double>,
xSymbol: Symbol = StringSymbol("x"),
): Expression<Double> {
require(x.size == y.size) { "X and y buffers should be of the same size" }
require(y.size == yErr.size) { "Y and yErr buffer should of the same size" }
return Expression { arguments ->
x.indices.sumByDouble {
val xValue = x[it]
val yValue = y[it]
val yErrValue = yErr[it]
val modifiedArgs = arguments + (xSymbol to xValue)
val modelValue = model(modifiedArgs)
((yValue - modelValue) / yErrValue).pow(2)
}
}
}
} }
} }
/** /**
* Optimize expression without derivatives using specific [OptimizationProblemFactory] * Define a chi-squared-based objective function
*/ */
public fun <T : Any, F : FunctionOptimization<T>> Expression<T>.optimizeWith( public fun <T: Any, I : Any, A> FunctionOptimization<T>.chiSquared(
factory: OptimizationProblemFactory<T, F>, autoDiff: AutoDiffProcessor<T, I, A, Expression<T>>,
vararg symbols: Symbol, x: Buffer<T>,
configuration: F.() -> Unit, y: Buffer<T>,
): OptimizationResult<T> { yErr: Buffer<T>,
require(symbols.isNotEmpty()) { "Must provide a list of symbols for optimization" } model: A.(I) -> I,
val problem = factory(symbols.toList(), configuration) ) where A : ExtendedField<I>, A : ExpressionAlgebra<T, I> {
problem.expression(this) val chiSquared = FunctionOptimization.chiSquared(autoDiff, x, y, yErr, model)
return problem.optimize() diffFunction(chiSquared)
maximize = false
} }
/** /**
@ -122,6 +84,6 @@ public fun <T : Any, F : FunctionOptimization<T>> DifferentiableExpression<T, Ex
): OptimizationResult<T> { ): OptimizationResult<T> {
require(symbols.isNotEmpty()) { "Must provide a list of symbols for optimization" } require(symbols.isNotEmpty()) { "Must provide a list of symbols for optimization" }
val problem = factory(symbols.toList(), configuration) val problem = factory(symbols.toList(), configuration)
problem.diffExpression(this) problem.diffFunction(this)
return problem.optimize() return problem.optimize()
} }

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@ -0,0 +1,69 @@
package space.kscience.kmath.optimization
import space.kscience.kmath.expressions.Expression
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.indices
import kotlin.math.pow
/**
* A likelihood function optimization problem
*/
public interface NoDerivFunctionOptimization<T : Any> : Optimization<T> {
/**
* The optimization direction. If true search for function maximum, if false, search for the minimum
*/
public var maximize: Boolean
/**
* Define the initial guess for the optimization problem
*/
public fun initialGuess(map: Map<Symbol, T>)
/**
* Set an objective function expression
*/
public fun function(expression: Expression<T>)
public companion object {
/**
* Generate a chi squared expression from given x-y-sigma model represented by an expression. Does not provide derivatives
*/
public fun chiSquared(
x: Buffer<Double>,
y: Buffer<Double>,
yErr: Buffer<Double>,
model: Expression<Double>,
xSymbol: Symbol = Symbol.x,
): Expression<Double> {
require(x.size == y.size) { "X and y buffers should be of the same size" }
require(y.size == yErr.size) { "Y and yErr buffer should of the same size" }
return Expression { arguments ->
x.indices.sumByDouble {
val xValue = x[it]
val yValue = y[it]
val yErrValue = yErr[it]
val modifiedArgs = arguments + (xSymbol to xValue)
val modelValue = model(modifiedArgs)
((yValue - modelValue) / yErrValue).pow(2)
}
}
}
}
}
/**
* Optimize expression without derivatives using specific [OptimizationProblemFactory]
*/
public fun <T : Any, F : NoDerivFunctionOptimization<T>> Expression<T>.noDerivOptimizeWith(
factory: OptimizationProblemFactory<T, F>,
vararg symbols: Symbol,
configuration: F.() -> Unit,
): OptimizationResult<T> {
require(symbols.isNotEmpty()) { "Must provide a list of symbols for optimization" }
val problem = factory(symbols.toList(), configuration)
problem.function(this)
return problem.optimize()
}

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@ -0,0 +1,40 @@
package space.kscience.kmath.optimization
import space.kscience.kmath.data.ColumnarData
import space.kscience.kmath.expressions.AutoDiffProcessor
import space.kscience.kmath.expressions.DifferentiableExpression
import space.kscience.kmath.expressions.Expression
import space.kscience.kmath.expressions.ExpressionAlgebra
import space.kscience.kmath.misc.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.ExtendedField
import space.kscience.kmath.operations.Field
@UnstableKMathAPI
public interface XYFit<T : Any> : Optimization<T> {
public val algebra: Field<T>
/**
* Set X-Y data for this fit optionally including x and y errors
*/
public fun data(
dataSet: ColumnarData<T>,
xSymbol: Symbol,
ySymbol: Symbol,
xErrSymbol: Symbol? = null,
yErrSymbol: Symbol? = null,
)
public fun model(model: (T) -> DifferentiableExpression<T, *>)
/**
* Set the differentiable model for this fit
*/
public fun <I : Any, A> model(
autoDiff: AutoDiffProcessor<T, I, A, Expression<T>>,
modelFunction: A.(I) -> I,
): Unit where A : ExtendedField<I>, A : ExpressionAlgebra<T, I> = model { arg ->
autoDiff.process { modelFunction(const(arg)) }
}
}

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@ -4,12 +4,11 @@ pluginManagement {
mavenLocal() mavenLocal()
gradlePluginPortal() gradlePluginPortal()
jcenter() jcenter()
maven("https://dl.bintray.com/kotlin/kotlin-eap")
maven("https://dl.bintray.com/kotlin/kotlinx") maven("https://dl.bintray.com/kotlin/kotlinx")
} }
val toolsVersion = "0.9.1" val toolsVersion = "0.9.3"
val kotlinVersion = "1.4.31" val kotlinVersion = "1.4.32"
plugins { plugins {
id("kotlinx.benchmark") version "0.2.0-dev-20" id("kotlinx.benchmark") version "0.2.0-dev-20"