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Merge pull request #241 from mipt-npm/refactor/linear-algebra

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Refactor/linear algebra
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Alexander Nozik 2021-03-14 21:49:47 +03:00 committed by GitHub
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42 changed files with 845 additions and 1152 deletions
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1
CHANGELOG.md
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@ -9,6 +9,7 @@
- Exponential operations merged with hyperbolic functions
- Space is replaced by Group. Space is reserved for vector spaces.
- VectorSpace is now a vector space
-
### Deprecated

8
examples/build.gradle.kts
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@ -92,6 +92,14 @@ benchmark {
iterationTimeUnit = "ms" // time unity for iterationTime, default is seconds
include("ExpressionsInterpretersBenchmark")
}
configurations.register("matrixInverse") {
warmups = 1 // number of warmup iterations
iterations = 3 // number of iterations
iterationTime = 500 // time in seconds per iteration
iterationTimeUnit = "ms" // time unity for iterationTime, default is seconds
include("MatrixInverseBenchmark")
}
}
kotlin.sourceSets.all {

33
examples/src/benchmarks/kotlin/space/kscience/kmath/benchmarks/DotBenchmark.kt
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@ -4,14 +4,11 @@ import kotlinx.benchmark.Benchmark
import kotlinx.benchmark.Blackhole
import kotlinx.benchmark.Scope
import kotlinx.benchmark.State
import space.kscience.kmath.commons.linear.CMMatrixContext
import space.kscience.kmath.ejml.EjmlMatrixContext
import space.kscience.kmath.linear.BufferMatrixContext
import space.kscience.kmath.linear.Matrix
import space.kscience.kmath.linear.RealMatrixContext
import space.kscience.kmath.commons.linear.CMLinearSpace
import space.kscience.kmath.ejml.EjmlLinearSpace
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.linear.invoke
import space.kscience.kmath.operations.RealField
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Buffer
import kotlin.random.Random
@State(Scope.Benchmark)
@ -21,47 +18,47 @@ internal class DotBenchmark {
const val dim = 1000
//creating invertible matrix
val matrix1 = Matrix.real(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val matrix2 = Matrix.real(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val matrix1 = LinearSpace.real.buildMatrix(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val matrix2 = LinearSpace.real.buildMatrix(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val cmMatrix1 = CMMatrixContext { matrix1.toCM() }
val cmMatrix2 = CMMatrixContext { matrix2.toCM() }
val cmMatrix1 = CMLinearSpace { matrix1.toCM() }
val cmMatrix2 = CMLinearSpace { matrix2.toCM() }
val ejmlMatrix1 = EjmlMatrixContext { matrix1.toEjml() }
val ejmlMatrix2 = EjmlMatrixContext { matrix2.toEjml() }
val ejmlMatrix1 = EjmlLinearSpace { matrix1.toEjml() }
val ejmlMatrix2 = EjmlLinearSpace { matrix2.toEjml() }
}
@Benchmark
fun cmDot(blackhole: Blackhole) {
CMMatrixContext {
CMLinearSpace.run {
blackhole.consume(cmMatrix1 dot cmMatrix2)
}
}
@Benchmark
fun ejmlDot(blackhole: Blackhole) {
EjmlMatrixContext {
EjmlLinearSpace {
blackhole.consume(ejmlMatrix1 dot ejmlMatrix2)
}
}
@Benchmark
fun ejmlDotWithConversion(blackhole: Blackhole) {
EjmlMatrixContext {
EjmlLinearSpace {
blackhole.consume(matrix1 dot matrix2)
}
}
@Benchmark
fun bufferedDot(blackhole: Blackhole) {
BufferMatrixContext(RealField, Buffer.Companion::real).invoke {
LinearSpace.auto(RealField).invoke {
blackhole.consume(matrix1 dot matrix2)
}
}
@Benchmark
fun realDot(blackhole: Blackhole) {
RealMatrixContext {
LinearSpace.real {
blackhole.consume(matrix1 dot matrix2)
}
}

4
examples/src/benchmarks/kotlin/space/kscience/kmath/benchmarks/ExpressionsInterpretersBenchmark.kt
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@ -30,7 +30,7 @@ internal class ExpressionsInterpretersBenchmark {
fun mstExpression(blackhole: Blackhole) {
val expr = algebra.mstInField {
val x = bindSymbol(x)
x * 2.0 + 2.0 / x - 16.0
x * 2.0 + number(2.0) / x - 16.0
}
invokeAndSum(expr, blackhole)
@ -40,7 +40,7 @@ internal class ExpressionsInterpretersBenchmark {
fun asmExpression(blackhole: Blackhole) {
val expr = algebra.mstInField {
val x = bindSymbol(x)
x * 2.0 + 2.0 / x - 16.0
x * 2.0 + number(2.0) / x - 16.0
}.compile()
invokeAndSum(expr, blackhole)

26
examples/src/benchmarks/kotlin/space/kscience/kmath/benchmarks/LinearAlgebraBenchmark.kt → examples/src/benchmarks/kotlin/space/kscience/kmath/benchmarks/MatrixInverseBenchmark.kt
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@ -4,44 +4,44 @@ import kotlinx.benchmark.Benchmark
import kotlinx.benchmark.Blackhole
import kotlinx.benchmark.Scope
import kotlinx.benchmark.State
import space.kscience.kmath.commons.linear.CMMatrixContext
import space.kscience.kmath.commons.linear.CMMatrixContext.dot
import space.kscience.kmath.commons.linear.CMLinearSpace
import space.kscience.kmath.commons.linear.inverse
import space.kscience.kmath.ejml.EjmlMatrixContext
import space.kscience.kmath.ejml.EjmlLinearSpace
import space.kscience.kmath.ejml.inverse
import space.kscience.kmath.linear.Matrix
import space.kscience.kmath.linear.MatrixContext
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.linear.inverseWithLup
import space.kscience.kmath.linear.real
import space.kscience.kmath.linear.invoke
import kotlin.random.Random
@State(Scope.Benchmark)
internal class LinearAlgebraBenchmark {
internal class MatrixInverseBenchmark {
companion object {
val random = Random(1224)
const val dim = 100
private val space = LinearSpace.real
//creating invertible matrix
val u = Matrix.real(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val l = Matrix.real(dim, dim) { i, j -> if (i >= j) random.nextDouble() else 0.0 }
val matrix = l dot u
val u = space.buildMatrix(dim, dim) { i, j -> if (i <= j) random.nextDouble() else 0.0 }
val l = space.buildMatrix(dim, dim) { i, j -> if (i >= j) random.nextDouble() else 0.0 }
val matrix = space { l dot u }
}
@Benchmark
fun kmathLupInversion(blackhole: Blackhole) {
blackhole.consume(MatrixContext.real.inverseWithLup(matrix))
blackhole.consume(LinearSpace.real.inverseWithLup(matrix))
}
@Benchmark
fun cmLUPInversion(blackhole: Blackhole) {
with(CMMatrixContext) {
with(CMLinearSpace) {
blackhole.consume(inverse(matrix))
}
}
@Benchmark
fun ejmlInverse(blackhole: Blackhole) {
with(EjmlMatrixContext) {
with(EjmlLinearSpace) {
blackhole.consume(inverse(matrix))
}
}

4
examples/src/benchmarks/kotlin/space/kscience/kmath/benchmarks/ViktorLogBenchmark.kt
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@ -15,7 +15,7 @@ import space.kscience.kmath.viktor.ViktorNDField
internal class ViktorLogBenchmark {
@Benchmark
fun realFieldLog(blackhole: Blackhole) {
with(realField) {
with(realNdField) {
val fortyTwo = produce { 42.0 }
var res = one
repeat(n) { res = ln(fortyTwo) }
@ -47,7 +47,7 @@ internal class ViktorLogBenchmark {
// automatically build context most suited for given type.
private val autoField = NDAlgebra.auto(RealField, dim, dim)
private val realField = NDAlgebra.real(dim, dim)
private val realNdField = NDAlgebra.real(dim, dim)
private val viktorField = ViktorNDField(intArrayOf(dim, dim))
}
}

28
examples/src/main/kotlin/space/kscience/kmath/linear/gradient.kt Normal file
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@ -0,0 +1,28 @@
package space.kscience.kmath.linear
import space.kscience.kmath.real.*
import space.kscience.kmath.structures.RealBuffer
fun main() {
val x0 = Point(0.0, 0.0, 0.0)
val sigma = Point(1.0, 1.0, 1.0)
val gaussian: (Point<Double>) -> Double = { x ->
require(x.size == x0.size)
kotlin.math.exp(-((x - x0) / sigma).square().sum())
}
fun ((Point<Double>) -> Double).grad(x: Point<Double>): Point<Double> {
require(x.size == x0.size)
return RealBuffer(x.size) { i ->
val h = sigma[i] / 5
val dVector = RealBuffer(x.size) { if (it == i) h else 0.0 }
val f1 = invoke(x + dVector / 2)
val f0 = invoke(x - dVector / 2)
(f1 - f0) / h
}
}
println(gaussian.grad(x0))
}

2
examples/src/main/kotlin/space/kscience/kmath/structures/StructureWriteBenchmark.kt
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@ -7,7 +7,7 @@ import kotlin.system.measureTimeMillis
@Suppress("UNUSED_VARIABLE")
fun main() {
val n = 6000
val structure = NDStructure.build(intArrayOf(n, n), Buffer.Companion::auto) { 1.0 }
val structure = NDStructure.buffered(intArrayOf(n, n), Buffer.Companion::auto) { 1.0 }
structure.mapToBuffer { it + 1 } // warm-up
val time1 = measureTimeMillis { val res = structure.mapToBuffer { it + 1 } }
println("Structure mapping finished in $time1 millis")

4
examples/src/main/kotlin/space/kscience/kmath/structures/typeSafeDimensions.kt
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@ -5,7 +5,7 @@ import space.kscience.kmath.dimensions.D3
import space.kscience.kmath.dimensions.DMatrixContext
import space.kscience.kmath.dimensions.Dimension
private fun DMatrixContext<Double>.simple() {
private fun DMatrixContext<Double, *>.simple() {
val m1 = produce<D2, D3> { i, j -> (i + j).toDouble() }
val m2 = produce<D3, D2> { i, j -> (i + j).toDouble() }
@ -17,7 +17,7 @@ private object D5 : Dimension {
override val dim: UInt = 5u
}
private fun DMatrixContext<Double>.custom() {
private fun DMatrixContext<Double, *>.custom() {
val m1 = produce<D2, D5> { i, j -> (i + j).toDouble() }
val m2 = produce<D5, D2> { i, j -> (i - j).toDouble() }
val m3 = produce<D2, D2> { i, j -> (i - j).toDouble() }

6
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/MstAlgebra.kt
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@ -54,7 +54,7 @@ public object MstRing : Ring<MST>, NumbersAddOperations<MST>, ScaleOperations<MS
public override val one: MST.Numeric = number(1.0)
public override fun number(value: Number): MST.Numeric = MstGroup.number(value)
public override fun bindSymbol(value: String): MST.Symbolic = MstGroup.bindSymbol(value)
public override fun bindSymbol(value: String): MST.Symbolic = MstAlgebra.bindSymbol(value)
public override fun add(a: MST, b: MST): MST.Binary = MstGroup.add(a, b)
public override fun scale(a: MST, value: Double): MST.Binary =
@ -83,7 +83,7 @@ public object MstField : Field<MST>, NumbersAddOperations<MST>, ScaleOperations<
public override val one: MST.Numeric get() = MstRing.one
public override fun bindSymbol(value: String): MST.Symbolic = MstRing.bindSymbol(value)
public override fun bindSymbol(value: String): MST.Symbolic = MstAlgebra.bindSymbol(value)
public override fun number(value: Number): MST.Numeric = MstRing.number(value)
public override fun add(a: MST, b: MST): MST.Binary = MstRing.add(a, b)
@ -112,7 +112,7 @@ public object MstExtendedField : ExtendedField<MST>, NumericAlgebra<MST> {
public override val zero: MST.Numeric get() = MstField.zero
public override val one: MST.Numeric get() = MstField.one
public override fun bindSymbol(value: String): MST.Symbolic = MstField.bindSymbol(value)
public override fun bindSymbol(value: String): MST.Symbolic = MstAlgebra.bindSymbol(value)
public override fun number(value: Number): MST.Numeric = MstRing.number(value)
public override fun sin(arg: MST): MST.Unary = unaryOperationFunction(TrigonometricOperations.SIN_OPERATION)(arg)
public override fun cos(arg: MST): MST.Unary = unaryOperationFunction(TrigonometricOperations.COS_OPERATION)(arg)

83
kmath-commons/src/main/kotlin/space/kscience/kmath/commons/linear/CMMatrix.kt
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@ -3,11 +3,13 @@ package space.kscience.kmath.commons.linear
import org.apache.commons.math3.linear.*
import space.kscience.kmath.linear.*
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.NDStructure
import space.kscience.kmath.operations.RealField
import space.kscience.kmath.structures.RealBuffer
import kotlin.reflect.KClass
import kotlin.reflect.cast
public inline class CMMatrix(public val origin: RealMatrix) : Matrix<Double> {
public class CMMatrix(public val origin: RealMatrix) : Matrix<Double> {
public override val rowNum: Int get() = origin.rowDimension
public override val colNum: Int get() = origin.columnDimension
@ -50,12 +52,17 @@ public inline class CMMatrix(public val origin: RealMatrix) : Matrix<Double> {
}?.let(type::cast)
public override operator fun get(i: Int, j: Int): Double = origin.getEntry(i, j)
override fun equals(other: Any?): Boolean {
if (this === other) return true
if (other !is NDStructure<*>) return false
return NDStructure.contentEquals(this, other)
}
override fun hashCode(): Int = origin.hashCode()
}
public fun RealMatrix.asMatrix(): CMMatrix = CMMatrix(this)
public class CMVector(public val origin: RealVector) : Point<Double> {
public inline class CMVector(public val origin: RealVector) : Point<Double> {
public override val size: Int get() = origin.dimension
public override operator fun get(index: Int): Double = origin.getEntry(index)
@ -63,16 +70,17 @@ public class CMVector(public val origin: RealVector) : Point<Double> {
public override operator fun iterator(): Iterator<Double> = origin.toArray().iterator()
}
public fun Point<Double>.toCM(): CMVector = if (this is CMVector) this else {
val array = DoubleArray(size) { this[it] }
CMVector(ArrayRealVector(array))
}
public fun RealVector.toPoint(): CMVector = CMVector(this)
public object CMMatrixContext : MatrixContext<Double, CMMatrix> {
public override fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> Double): CMMatrix {
val array = Array(rows) { i -> DoubleArray(columns) { j -> initializer(i, j) } }
public object CMLinearSpace : LinearSpace<Double, RealField> {
override val elementAlgebra: RealField get() = RealField
public override fun buildMatrix(
rows: Int,
columns: Int,
initializer: RealField.(i: Int, j: Int) -> Double,
): CMMatrix {
val array = Array(rows) { i -> DoubleArray(columns) { j -> RealField.initializer(i, j) } }
return CMMatrix(Array2DRowRealMatrix(array))
}
@ -82,33 +90,50 @@ public object CMMatrixContext : MatrixContext<Double, CMMatrix> {
else -> {
//TODO add feature analysis
val array = Array(rowNum) { i -> DoubleArray(colNum) { j -> get(i, j) } }
CMMatrix(Array2DRowRealMatrix(array))
Array2DRowRealMatrix(array).wrap()
}
}
override fun scale(a: Matrix<Double>, value: Double): Matrix<Double> = a.toCM().times(value)
public fun Point<Double>.toCM(): CMVector = if (this is CMVector) this else {
val array = DoubleArray(size) { this[it] }
ArrayRealVector(array).wrap()
}
internal fun RealMatrix.wrap(): CMMatrix = CMMatrix(this)
internal fun RealVector.wrap(): CMVector = CMVector(this)
override fun buildVector(size: Int, initializer: RealField.(Int) -> Double): Point<Double> =
ArrayRealVector(DoubleArray(size) { RealField.initializer(it) }).wrap()
override fun Matrix<Double>.plus(other: Matrix<Double>): CMMatrix =
toCM().origin.add(other.toCM().origin).wrap()
override fun Point<Double>.plus(other: Point<Double>): CMVector =
toCM().origin.add(other.toCM().origin).wrap()
override fun Point<Double>.minus(other: Point<Double>): CMVector =
toCM().origin.subtract(other.toCM().origin).wrap()
public override fun Matrix<Double>.dot(other: Matrix<Double>): CMMatrix =
CMMatrix(toCM().origin.multiply(other.toCM().origin))
toCM().origin.multiply(other.toCM().origin).wrap()
public override fun Matrix<Double>.dot(vector: Point<Double>): CMVector =
CMVector(toCM().origin.preMultiply(vector.toCM().origin))
toCM().origin.preMultiply(vector.toCM().origin).wrap()
public override operator fun Matrix<Double>.unaryMinus(): CMMatrix =
produce(rowNum, colNum) { i, j -> -get(i, j) }
public override fun add(a: Matrix<Double>, b: Matrix<Double>): CMMatrix =
CMMatrix(a.toCM().origin.multiply(b.toCM().origin))
public override operator fun Matrix<Double>.minus(b: Matrix<Double>): CMMatrix =
CMMatrix(toCM().origin.subtract(b.toCM().origin))
// public override fun multiply(a: Matrix<Double>, k: Number): CMMatrix =
// CMMatrix(a.toCM().origin.scalarMultiply(k.toDouble()))
public override operator fun Matrix<Double>.minus(other: Matrix<Double>): CMMatrix =
toCM().origin.subtract(other.toCM().origin).wrap()
public override operator fun Matrix<Double>.times(value: Double): CMMatrix =
produce(rowNum, colNum) { i, j -> get(i, j) * value }
toCM().origin.scalarMultiply(value).wrap()
override fun Double.times(m: Matrix<Double>): CMMatrix =
m * this
override fun Point<Double>.times(value: Double): CMVector =
toCM().origin.mapMultiply(value).wrap()
override fun Double.times(v: Point<Double>): CMVector =
v * this
}
public operator fun CMMatrix.plus(other: CMMatrix): CMMatrix =

12
kmath-commons/src/main/kotlin/space/kscience/kmath/commons/linear/CMSolver.kt
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@ -12,7 +12,7 @@ public enum class CMDecomposition {
CHOLESKY
}
public fun CMMatrixContext.solver(
public fun CMLinearSpace.solver(
a: Matrix<Double>,
decomposition: CMDecomposition = CMDecomposition.LUP
): DecompositionSolver = when (decomposition) {
@ -23,19 +23,19 @@ public fun CMMatrixContext.solver(
CMDecomposition.CHOLESKY -> CholeskyDecomposition(a.toCM().origin).solver
}
public fun CMMatrixContext.solve(
public fun CMLinearSpace.solve(
a: Matrix<Double>,
b: Matrix<Double>,
decomposition: CMDecomposition = CMDecomposition.LUP
): CMMatrix = solver(a, decomposition).solve(b.toCM().origin).asMatrix()
): CMMatrix = solver(a, decomposition).solve(b.toCM().origin).wrap()
public fun CMMatrixContext.solve(
public fun CMLinearSpace.solve(
a: Matrix<Double>,
b: Point<Double>,
decomposition: CMDecomposition = CMDecomposition.LUP
): CMVector = solver(a, decomposition).solve(b.toCM().origin).toPoint()
public fun CMMatrixContext.inverse(
public fun CMLinearSpace.inverse(
a: Matrix<Double>,
decomposition: CMDecomposition = CMDecomposition.LUP
): CMMatrix = solver(a, decomposition).inverse.asMatrix()
): CMMatrix = solver(a, decomposition).inverse.wrap()

363
kmath-core/api/kmath-core.api
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@ -432,106 +432,23 @@ public final class space/kscience/kmath/expressions/SymbolIndexerKt {
public static final fun withSymbols ([Lspace/kscience/kmath/expressions/Symbol;Lkotlin/jvm/functions/Function1;)Ljava/lang/Object;
}
public final class space/kscience/kmath/linear/BufferMatrix : space/kscience/kmath/nd/Structure2D {
public fun <init> (IILspace/kscience/kmath/structures/Buffer;)V
public fun elements ()Lkotlin/sequences/Sequence;
public fun equals (Ljava/lang/Object;)Z
public fun get (II)Ljava/lang/Object;
public fun get ([I)Ljava/lang/Object;
public final fun getBuffer ()Lspace/kscience/kmath/structures/Buffer;
public fun getColNum ()I
public fun getColumns ()Lspace/kscience/kmath/structures/Buffer;
public fun getDimension ()I
public fun getRowNum ()I
public fun getRows ()Lspace/kscience/kmath/structures/Buffer;
public fun getShape ()[I
public fun hashCode ()I
public fun toString ()Ljava/lang/String;
}
public final class space/kscience/kmath/linear/BufferMatrixContext : space/kscience/kmath/linear/GenericMatrixContext {
public static final field Companion Lspace/kscience/kmath/linear/BufferMatrixContext$Companion;
public final class space/kscience/kmath/linear/BufferLinearSpace : space/kscience/kmath/linear/LinearSpace {
public fun <init> (Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;)V
public synthetic fun add (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun add (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun add (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun binaryOperation (Ljava/lang/String;Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun binaryOperation (Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun binaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public synthetic fun bindSymbol (Ljava/lang/String;)Ljava/lang/Object;
public fun bindSymbol (Ljava/lang/String;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun div (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public fun div (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun buildMatrix (IILkotlin/jvm/functions/Function3;)Lspace/kscience/kmath/nd/Structure2D;
public fun buildVector (ILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/structures/Buffer;
public fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public fun getElementContext ()Lspace/kscience/kmath/operations/Ring;
public synthetic fun minus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public final fun one (II)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun plus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun plus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun point (ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/structures/Buffer;
public fun produce (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun produce (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun scale (Ljava/lang/Object;D)Ljava/lang/Object;
public fun scale (Lspace/kscience/kmath/nd/Structure2D;D)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun times (Ljava/lang/Number;Ljava/lang/Object;)Ljava/lang/Object;
public fun times (Ljava/lang/Number;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun times (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun unaryMinus (Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun unaryOperation (Ljava/lang/String;Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryOperation (Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun unaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public synthetic fun unaryPlus (Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryPlus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/BufferMatrixContext$Companion {
}
public final class space/kscience/kmath/linear/BufferVectorSpace : space/kscience/kmath/linear/VectorSpace {
public fun <init> (ILspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;)V
public synthetic fun add (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun add (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun binaryOperation (Ljava/lang/String;Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun binaryOperation (Ljava/lang/String;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public fun binaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public synthetic fun bindSymbol (Ljava/lang/String;)Ljava/lang/Object;
public fun bindSymbol (Ljava/lang/String;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun div (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public fun div (Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Number;)Lspace/kscience/kmath/structures/Buffer;
public fun getAlgebra ()Lspace/kscience/kmath/operations/Group;
public final fun getBufferFactory ()Lkotlin/jvm/functions/Function2;
public fun getSize ()I
public synthetic fun getZero ()Ljava/lang/Object;
public fun getZero ()Lspace/kscience/kmath/structures/Buffer;
public synthetic fun minus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun getElementAlgebra ()Lspace/kscience/kmath/operations/Ring;
public fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun minus (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun plus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun plus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun plus (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public fun produce (Lkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun scale (Ljava/lang/Object;D)Ljava/lang/Object;
public fun scale (Lspace/kscience/kmath/structures/Buffer;D)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun times (Ljava/lang/Number;Ljava/lang/Object;)Ljava/lang/Object;
public fun times (Ljava/lang/Number;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun times (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public fun times (Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Number;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun unaryMinus (Ljava/lang/Object;)Ljava/lang/Object;
public fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun times (Ljava/lang/Object;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public fun times (Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Object;)Lspace/kscience/kmath/structures/Buffer;
public fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun unaryMinus (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun unaryOperation (Ljava/lang/String;Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryOperation (Ljava/lang/String;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public fun unaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public synthetic fun unaryPlus (Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryPlus (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public abstract interface class space/kscience/kmath/linear/CholeskyDecompositionFeature : space/kscience/kmath/linear/MatrixFeature {
@ -549,37 +466,6 @@ public abstract interface class space/kscience/kmath/linear/DiagonalFeature : sp
public final class space/kscience/kmath/linear/DiagonalFeature$Companion : space/kscience/kmath/linear/DiagonalFeature {
}
public abstract interface class space/kscience/kmath/linear/GenericMatrixContext : space/kscience/kmath/linear/MatrixContext {
public abstract fun add (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun getElementContext ()Lspace/kscience/kmath/operations/Ring;
public abstract fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/GenericMatrixContext$DefaultImpls {
public static fun add (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun binaryOperation (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun binaryOperationFunction (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public static fun bindSymbol (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/String;)Lspace/kscience/kmath/nd/Structure2D;
public static fun div (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public static fun dot (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun dot (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun minus (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun plus (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun point (Lspace/kscience/kmath/linear/GenericMatrixContext;ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/Number;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryMinus (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryOperation (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryOperationFunction (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public static fun unaryPlus (Lspace/kscience/kmath/linear/GenericMatrixContext;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
}
public abstract interface class space/kscience/kmath/linear/InverseMatrixFeature : space/kscience/kmath/linear/MatrixFeature {
public abstract fun getInverse ()Lspace/kscience/kmath/nd/Structure2D;
}
@ -588,11 +474,6 @@ public final class space/kscience/kmath/linear/LFeature : space/kscience/kmath/l
public static final field INSTANCE Lspace/kscience/kmath/linear/LFeature;
}
public final class space/kscience/kmath/linear/LinearAlgebraKt {
public static final fun asMatrix (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/linear/VirtualMatrix;
public static final fun asPoint (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/structures/Buffer;
}
public abstract interface class space/kscience/kmath/linear/LinearSolver {
public abstract fun inverse (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun solve (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
@ -603,9 +484,58 @@ public final class space/kscience/kmath/linear/LinearSolver$DefaultImpls {
public static fun solve (Lspace/kscience/kmath/linear/LinearSolver;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/linear/LinearSolverKt {
public static final fun asMatrix (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/linear/VirtualMatrix;
public static final fun asVector (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/structures/Buffer;
}
public abstract interface class space/kscience/kmath/linear/LinearSpace {
public static final field Companion Lspace/kscience/kmath/linear/LinearSpace$Companion;
public abstract fun buildMatrix (IILkotlin/jvm/functions/Function3;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun buildVector (ILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun getElementAlgebra ()Lspace/kscience/kmath/operations/Ring;
public abstract fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun minus (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun plus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun plus (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun times (Ljava/lang/Object;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun times (Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Object;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun unaryMinus (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/linear/LinearSpace$Companion {
public final fun buffered (Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/LinearSpace;
public static synthetic fun buffered$default (Lspace/kscience/kmath/linear/LinearSpace$Companion;Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;ILjava/lang/Object;)Lspace/kscience/kmath/linear/LinearSpace;
public final fun getReal ()Lspace/kscience/kmath/linear/LinearSpace;
}
public final class space/kscience/kmath/linear/LinearSpace$DefaultImpls {
public static fun dot (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun dot (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun minus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun minus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun plus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun plus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/LinearSpace;Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/LinearSpace;Ljava/lang/Object;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Object;)Lspace/kscience/kmath/structures/Buffer;
public static fun unaryMinus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryMinus (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/linear/LinearSpaceKt {
public static final fun invoke (Lspace/kscience/kmath/linear/LinearSpace;Lkotlin/jvm/functions/Function1;)Ljava/lang/Object;
}
public final class space/kscience/kmath/linear/LupDecomposition : space/kscience/kmath/linear/DeterminantFeature, space/kscience/kmath/linear/LupDecompositionFeature {
public fun <init> (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/operations/Field;Lspace/kscience/kmath/nd/Structure2D;[IZ)V
public final fun getContext ()Lspace/kscience/kmath/linear/MatrixContext;
public fun <init> (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/operations/Field;Lspace/kscience/kmath/nd/Structure2D;[IZ)V
public final fun getContext ()Lspace/kscience/kmath/linear/LinearSpace;
public fun getDeterminant ()Ljava/lang/Object;
public final fun getElementContext ()Lspace/kscience/kmath/operations/Field;
public fun getL ()Lspace/kscience/kmath/nd/Structure2D;
@ -622,57 +552,27 @@ public abstract interface class space/kscience/kmath/linear/LupDecompositionFeat
}
public final class space/kscience/kmath/linear/LupDecompositionKt {
public static final fun abs (Lspace/kscience/kmath/linear/GenericMatrixContext;Ljava/lang/Comparable;)Ljava/lang/Comparable;
public static final fun inverseWithLup (Lspace/kscience/kmath/linear/RealMatrixContext;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun lup (Lspace/kscience/kmath/linear/MatrixContext;Lkotlin/jvm/functions/Function2;Lspace/kscience/kmath/operations/Field;Lspace/kscience/kmath/nd/Structure2D;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/linear/LupDecomposition;
public static final fun lup (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/LupDecomposition;
public static final fun abs (Lspace/kscience/kmath/linear/LinearSpace;Ljava/lang/Comparable;)Ljava/lang/Comparable;
public static final fun inverseWithLup (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun lup (Lspace/kscience/kmath/linear/LinearSpace;Lkotlin/jvm/functions/Function2;Lspace/kscience/kmath/nd/Structure2D;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/linear/LupDecomposition;
public static final fun lup (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/LupDecomposition;
public static final fun solveWithLup (Lspace/kscience/kmath/linear/LinearSpace;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun solveWithLup (Lspace/kscience/kmath/linear/LupDecomposition;Lkotlin/jvm/functions/Function2;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun solveWithLup (Lspace/kscience/kmath/linear/RealMatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/MatrixBuilder {
public fun <init> (II)V
public fun <init> (Lspace/kscience/kmath/linear/LinearSpace;II)V
public final fun getColumns ()I
public final fun getLinearSpace ()Lspace/kscience/kmath/linear/LinearSpace;
public final fun getRows ()I
public final fun invoke ([Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/MatrixBuilderKt {
public static final fun build (Lspace/kscience/kmath/nd/Structure2D$Companion;II)Lspace/kscience/kmath/linear/MatrixBuilder;
public static final fun column (Lspace/kscience/kmath/nd/Structure2D$Companion;[Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun row (Lspace/kscience/kmath/nd/Structure2D$Companion;[Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
}
public abstract interface class space/kscience/kmath/linear/MatrixContext : space/kscience/kmath/operations/GroupOperations, space/kscience/kmath/operations/ScaleOperations {
public static final field Companion Lspace/kscience/kmath/linear/MatrixContext$Companion;
public abstract fun binaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun point (ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun produce (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public abstract fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/MatrixContext$Companion {
public final fun buffered (Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/GenericMatrixContext;
public static synthetic fun buffered$default (Lspace/kscience/kmath/linear/MatrixContext$Companion;Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;ILjava/lang/Object;)Lspace/kscience/kmath/linear/GenericMatrixContext;
}
public final class space/kscience/kmath/linear/MatrixContext$DefaultImpls {
public static fun binaryOperation (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun binaryOperationFunction (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public static fun bindSymbol (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/String;)Lspace/kscience/kmath/nd/Structure2D;
public static fun div (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public static fun minus (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun plus (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun point (Lspace/kscience/kmath/linear/MatrixContext;ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/Number;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun times (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryOperation (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static fun unaryOperationFunction (Lspace/kscience/kmath/linear/MatrixContext;Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public static fun unaryPlus (Lspace/kscience/kmath/linear/MatrixContext;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun column (Lspace/kscience/kmath/linear/LinearSpace;ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun column (Lspace/kscience/kmath/linear/LinearSpace;[Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun row (Lspace/kscience/kmath/linear/LinearSpace;ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun row (Lspace/kscience/kmath/linear/LinearSpace;[Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
}
public abstract interface class space/kscience/kmath/linear/MatrixFeature {
@ -688,12 +588,12 @@ public final class space/kscience/kmath/linear/MatrixWrapper : space/kscience/km
public fun get (II)Ljava/lang/Object;
public fun get ([I)Ljava/lang/Object;
public fun getColNum ()I
public fun getColumns ()Lspace/kscience/kmath/structures/Buffer;
public fun getColumns ()Ljava/util/List;
public fun getDimension ()I
public final fun getFeatures ()Ljava/util/Set;
public final fun getOrigin ()Lspace/kscience/kmath/nd/Structure2D;
public fun getRowNum ()I
public fun getRows ()Lspace/kscience/kmath/structures/Buffer;
public fun getRows ()Ljava/util/List;
public fun getShape ()[I
public fun hashCode ()I
public fun toString ()Ljava/lang/String;
@ -701,12 +601,11 @@ public final class space/kscience/kmath/linear/MatrixWrapper : space/kscience/km
public final class space/kscience/kmath/linear/MatrixWrapperKt {
public static final fun getOrigin (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun one (Lspace/kscience/kmath/linear/GenericMatrixContext;II)Lspace/kscience/kmath/nd/Structure2D;
public static final fun one (Lspace/kscience/kmath/linear/LinearSpace;II)Lspace/kscience/kmath/nd/Structure2D;
public static final fun plus (Lspace/kscience/kmath/nd/Structure2D;Ljava/util/Collection;)Lspace/kscience/kmath/linear/MatrixWrapper;
public static final fun plus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/linear/MatrixFeature;)Lspace/kscience/kmath/linear/MatrixWrapper;
public static final fun square (Lspace/kscience/kmath/nd/Structure2D$Companion;[Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun transpose (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public static final fun zero (Lspace/kscience/kmath/linear/GenericMatrixContext;II)Lspace/kscience/kmath/nd/Structure2D;
public static final fun zero (Lspace/kscience/kmath/linear/LinearSpace;II)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/OrthogonalFeature : space/kscience/kmath/linear/MatrixFeature {
@ -718,52 +617,6 @@ public abstract interface class space/kscience/kmath/linear/QRDecompositionFeatu
public abstract fun getR ()Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/RealMatrixContext : space/kscience/kmath/linear/MatrixContext, space/kscience/kmath/operations/ScaleOperations {
public static final field INSTANCE Lspace/kscience/kmath/linear/RealMatrixContext;
public synthetic fun add (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun add (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun binaryOperation (Ljava/lang/String;Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun binaryOperation (Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun binaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public synthetic fun bindSymbol (Ljava/lang/String;)Ljava/lang/Object;
public fun bindSymbol (Ljava/lang/String;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun div (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public fun div (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun dot (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public synthetic fun minus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun minus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public final fun one (II)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun plus (Ljava/lang/Object;Ljava/lang/Object;)Ljava/lang/Object;
public fun plus (Lspace/kscience/kmath/nd/Structure2D;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun point (ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/structures/Buffer;
public fun produce (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun produce (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun scale (Ljava/lang/Object;D)Ljava/lang/Object;
public fun scale (Lspace/kscience/kmath/nd/Structure2D;D)Lspace/kscience/kmath/linear/BufferMatrix;
public fun times (DLspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun times (Ljava/lang/Number;Ljava/lang/Object;)Ljava/lang/Object;
public fun times (Ljava/lang/Number;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun times (Ljava/lang/Object;Ljava/lang/Number;)Ljava/lang/Object;
public synthetic fun times (Ljava/lang/Object;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun times (Lspace/kscience/kmath/nd/Structure2D;D)Lspace/kscience/kmath/linear/BufferMatrix;
public fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Number;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun times (Lspace/kscience/kmath/nd/Structure2D;Ljava/lang/Object;)Lspace/kscience/kmath/nd/Structure2D;
public final fun toBufferMatrix (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/linear/BufferMatrix;
public synthetic fun unaryMinus (Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryMinus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public synthetic fun unaryOperation (Ljava/lang/String;Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryOperation (Ljava/lang/String;Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
public fun unaryOperationFunction (Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public synthetic fun unaryPlus (Ljava/lang/Object;)Ljava/lang/Object;
public fun unaryPlus (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/nd/Structure2D;
}
public final class space/kscience/kmath/linear/RealMatrixContextKt {
public static final fun getReal (Lspace/kscience/kmath/linear/MatrixContext$Companion;)Lspace/kscience/kmath/linear/RealMatrixContext;
}
public abstract interface class space/kscience/kmath/linear/SingularValueDecompositionFeature : space/kscience/kmath/linear/MatrixFeature {
public abstract fun getS ()Lspace/kscience/kmath/nd/Structure2D;
public abstract fun getSingularValues ()Lspace/kscience/kmath/structures/Buffer;
@ -784,41 +637,6 @@ public final class space/kscience/kmath/linear/UnitFeature : space/kscience/kmat
public static final field INSTANCE Lspace/kscience/kmath/linear/UnitFeature;
}
public abstract interface class space/kscience/kmath/linear/VectorSpace : space/kscience/kmath/operations/Group, space/kscience/kmath/operations/ScaleOperations {
public static final field Companion Lspace/kscience/kmath/linear/VectorSpace$Companion;
public abstract fun add (Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun getAlgebra ()Lspace/kscience/kmath/operations/Group;
public abstract fun getSize ()I
public abstract fun getZero ()Lspace/kscience/kmath/structures/Buffer;
public abstract fun produce (Lkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/structures/Buffer;
public abstract fun scale (Lspace/kscience/kmath/structures/Buffer;D)Lspace/kscience/kmath/structures/Buffer;
public abstract fun unaryMinus (Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/linear/VectorSpace$Companion {
public final fun buffered (ILspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/BufferVectorSpace;
public static synthetic fun buffered$default (Lspace/kscience/kmath/linear/VectorSpace$Companion;ILspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;ILjava/lang/Object;)Lspace/kscience/kmath/linear/BufferVectorSpace;
public final fun real (I)Lspace/kscience/kmath/linear/BufferVectorSpace;
}
public final class space/kscience/kmath/linear/VectorSpace$DefaultImpls {
public static fun add (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun binaryOperation (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/String;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun binaryOperationFunction (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/String;)Lkotlin/jvm/functions/Function2;
public static fun bindSymbol (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/String;)Lspace/kscience/kmath/structures/Buffer;
public static fun div (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Number;)Lspace/kscience/kmath/structures/Buffer;
public static fun getZero (Lspace/kscience/kmath/linear/VectorSpace;)Lspace/kscience/kmath/structures/Buffer;
public static fun minus (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun plus (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun scale (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;D)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/Number;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun times (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;Ljava/lang/Number;)Lspace/kscience/kmath/structures/Buffer;
public static fun unaryMinus (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun unaryOperation (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/String;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
public static fun unaryOperationFunction (Lspace/kscience/kmath/linear/VectorSpace;Ljava/lang/String;)Lkotlin/jvm/functions/Function1;
public static fun unaryPlus (Lspace/kscience/kmath/linear/VectorSpace;Lspace/kscience/kmath/structures/Buffer;)Lspace/kscience/kmath/structures/Buffer;
}
public final class space/kscience/kmath/linear/VirtualMatrix : space/kscience/kmath/nd/Structure2D {
public fun <init> (IILkotlin/jvm/functions/Function2;)V
public fun elements ()Lkotlin/sequences/Sequence;
@ -826,11 +644,11 @@ public final class space/kscience/kmath/linear/VirtualMatrix : space/kscience/km
public fun get (II)Ljava/lang/Object;
public fun get ([I)Ljava/lang/Object;
public fun getColNum ()I
public fun getColumns ()Lspace/kscience/kmath/structures/Buffer;
public fun getColumns ()Ljava/util/List;
public fun getDimension ()I
public final fun getGenerator ()Lkotlin/jvm/functions/Function2;
public fun getRowNum ()I
public fun getRows ()Lspace/kscience/kmath/structures/Buffer;
public fun getRows ()Ljava/util/List;
public fun getShape ()[I
public fun hashCode ()I
}
@ -882,11 +700,11 @@ public final class space/kscience/kmath/nd/BufferNDAlgebra$DefaultImpls {
public final class space/kscience/kmath/nd/BufferNDAlgebraKt {
public static final fun field (Lspace/kscience/kmath/nd/NDAlgebra$Companion;Lspace/kscience/kmath/operations/Field;Lkotlin/jvm/functions/Function2;[I)Lspace/kscience/kmath/nd/BufferedNDField;
public static final fun group (Lspace/kscience/kmath/nd/NDAlgebra$Companion;Lspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;[I)Lspace/kscience/kmath/nd/BufferedNDGroup;
public static final fun ndField (Lspace/kscience/kmath/operations/Field;Lkotlin/jvm/functions/Function2;[ILkotlin/jvm/functions/Function1;)Ljava/lang/Object;
public static final fun ndGroup (Lspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;[ILkotlin/jvm/functions/Function1;)Ljava/lang/Object;
public static final fun ndRing (Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;[ILkotlin/jvm/functions/Function1;)Ljava/lang/Object;
public static final fun ndSpace (Lspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;[ILkotlin/jvm/functions/Function1;)Ljava/lang/Object;
public static final fun ring (Lspace/kscience/kmath/nd/NDAlgebra$Companion;Lspace/kscience/kmath/operations/Ring;Lkotlin/jvm/functions/Function2;[I)Lspace/kscience/kmath/nd/BufferedNDRing;
public static final fun space (Lspace/kscience/kmath/nd/NDAlgebra$Companion;Lspace/kscience/kmath/operations/Group;Lkotlin/jvm/functions/Function2;[I)Lspace/kscience/kmath/nd/BufferedNDGroup;
}
public class space/kscience/kmath/nd/BufferedNDField : space/kscience/kmath/nd/BufferedNDRing, space/kscience/kmath/nd/NDField {
@ -1147,10 +965,10 @@ public abstract interface class space/kscience/kmath/nd/NDStructure {
public final class space/kscience/kmath/nd/NDStructure$Companion {
public final fun auto (Lkotlin/reflect/KClass;Lspace/kscience/kmath/nd/Strides;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun auto (Lkotlin/reflect/KClass;[ILkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun build (Lspace/kscience/kmath/nd/Strides;Lkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun build ([ILkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public static synthetic fun build$default (Lspace/kscience/kmath/nd/NDStructure$Companion;Lspace/kscience/kmath/nd/Strides;Lkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;ILjava/lang/Object;)Lspace/kscience/kmath/nd/NDBuffer;
public static synthetic fun build$default (Lspace/kscience/kmath/nd/NDStructure$Companion;[ILkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;ILjava/lang/Object;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun buffered (Lspace/kscience/kmath/nd/Strides;Lkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun buffered ([ILkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;)Lspace/kscience/kmath/nd/NDBuffer;
public static synthetic fun buffered$default (Lspace/kscience/kmath/nd/NDStructure$Companion;Lspace/kscience/kmath/nd/Strides;Lkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;ILjava/lang/Object;)Lspace/kscience/kmath/nd/NDBuffer;
public static synthetic fun buffered$default (Lspace/kscience/kmath/nd/NDStructure$Companion;[ILkotlin/jvm/functions/Function2;Lkotlin/jvm/functions/Function1;ILjava/lang/Object;)Lspace/kscience/kmath/nd/NDBuffer;
public final fun contentEquals (Lspace/kscience/kmath/nd/NDStructure;Lspace/kscience/kmath/nd/NDStructure;)Z
}
@ -1307,22 +1125,21 @@ public abstract interface class space/kscience/kmath/nd/Structure2D : space/ksci
public abstract fun get (II)Ljava/lang/Object;
public abstract fun get ([I)Ljava/lang/Object;
public abstract fun getColNum ()I
public abstract fun getColumns ()Lspace/kscience/kmath/structures/Buffer;
public abstract fun getColumns ()Ljava/util/List;
public abstract fun getRowNum ()I
public abstract fun getRows ()Lspace/kscience/kmath/structures/Buffer;
public abstract fun getRows ()Ljava/util/List;
public abstract fun getShape ()[I
}
public final class space/kscience/kmath/nd/Structure2D$Companion {
public final fun real (IILkotlin/jvm/functions/Function2;)Lspace/kscience/kmath/linear/BufferMatrix;
}
public final class space/kscience/kmath/nd/Structure2D$DefaultImpls {
public static fun elements (Lspace/kscience/kmath/nd/Structure2D;)Lkotlin/sequences/Sequence;
public static fun get (Lspace/kscience/kmath/nd/Structure2D;[I)Ljava/lang/Object;
public static fun getColumns (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/structures/Buffer;
public static fun getColumns (Lspace/kscience/kmath/nd/Structure2D;)Ljava/util/List;
public static fun getDimension (Lspace/kscience/kmath/nd/Structure2D;)I
public static fun getRows (Lspace/kscience/kmath/nd/Structure2D;)Lspace/kscience/kmath/structures/Buffer;
public static fun getRows (Lspace/kscience/kmath/nd/Structure2D;)Ljava/util/List;
public static fun getShape (Lspace/kscience/kmath/nd/Structure2D;)[I
}

83
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/BufferLinearSpace.kt Normal file
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@ -0,0 +1,83 @@
package space.kscience.kmath.linear
import space.kscience.kmath.nd.*
import space.kscience.kmath.operations.Ring
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.VirtualBuffer
import space.kscience.kmath.structures.indices
public class BufferLinearSpace<T : Any, A : Ring<T>>(
override val elementAlgebra: A,
private val bufferFactory: BufferFactory<T>,
) : LinearSpace<T, A> {
private fun ndRing(
rows: Int,
cols: Int,
): BufferedNDRing<T, A> = NDAlgebra.ring(elementAlgebra, bufferFactory, rows, cols)
override fun buildMatrix(rows: Int, columns: Int, initializer: A.(i: Int, j: Int) -> T): Matrix<T> =
ndRing(rows, columns).produce { (i, j) -> elementAlgebra.initializer(i, j) }.as2D()
override fun buildVector(size: Int, initializer: A.(Int) -> T): Point<T> =
bufferFactory(size) { elementAlgebra.initializer(it) }
override fun Matrix<T>.unaryMinus(): Matrix<T> = ndRing(rowNum, colNum).run {
unwrap().map { -it }.as2D()
}
override fun Matrix<T>.plus(other: Matrix<T>): Matrix<T> = ndRing(rowNum, colNum).run {
require(shape.contentEquals(other.shape)) { "Shape mismatch on Matrix::plus. Expected $shape but found ${other.shape}" }
unwrap().plus(other.unwrap()).as2D()
}
override fun Matrix<T>.minus(other: Matrix<T>): Matrix<T> = ndRing(rowNum, colNum).run {
require(shape.contentEquals(other.shape)) { "Shape mismatch on Matrix::minus. Expected $shape but found ${other.shape}" }
unwrap().minus(other.unwrap()).as2D()
}
private fun Buffer<T>.linearize() = if (this is VirtualBuffer) {
buildVector(size) { get(it) }
} else {
this
}
override fun Matrix<T>.dot(other: Matrix<T>): Matrix<T> {
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
return elementAlgebra {
val rows = this@dot.rows.map{it.linearize()}
val columns = other.columns.map { it.linearize() }
buildMatrix(rowNum, other.colNum) { i, j ->
val r = rows[i]
val c = columns[j]
var res = zero
for (l in r.indices) {
res += r[l] * c[l]
}
res
}
}
}
override fun Matrix<T>.dot(vector: Point<T>): Point<T> {
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
return elementAlgebra {
val rows = this@dot.rows.map { it.linearize() }
buildVector(rowNum) { i ->
val r = rows[i]
var res = zero
for (j in r.indices) {
res += r[j] * vector[j]
}
res
}
}
}
override fun Matrix<T>.times(value: T): Matrix<T> = ndRing(rowNum, colNum).run {
unwrap().map { it * value }.as2D()
}
}

144
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/BufferMatrix.kt
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@ -1,144 +0,0 @@
package space.kscience.kmath.linear
import space.kscience.kmath.nd.NDStructure
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.operations.Ring
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.asSequence
/**
* Alias for [Structure2D] with more familiar name.
*
* @param T the type of items.
*/
public typealias Matrix<T> = Structure2D<T>
/**
* Basic implementation of Matrix space based on [NDStructure]
*/
public class BufferMatrixContext<T : Any, A>(
public override val elementContext: A,
private val bufferFactory: BufferFactory<T>,
) : GenericMatrixContext<T, A, BufferMatrix<T>> where A : Ring<T>, A : ScaleOperations<T> {
public override fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> T): BufferMatrix<T> {
val buffer = bufferFactory(rows * columns) { offset -> initializer(offset / columns, offset % columns) }
return BufferMatrix(rows, columns, buffer)
}
override fun scale(a: Matrix<T>, value: Double): Matrix<T> = elementContext {
produce(a.rowNum, a.colNum) { i, j ->
a[i, j] * value
}
}
public override fun point(size: Int, initializer: (Int) -> T): Point<T> = bufferFactory(size, initializer)
private fun Matrix<T>.toBufferMatrix(): BufferMatrix<T> = if (this is BufferMatrix) this else {
produce(rowNum, colNum) { i, j -> get(i, j) }
}
public fun one(rows: Int, columns: Int): Matrix<Double> = VirtualMatrix(rows, columns) { i, j ->
if (i == j) 1.0 else 0.0
} + DiagonalFeature
public override infix fun Matrix<T>.dot(other: Matrix<T>): BufferMatrix<T> {
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
val bufferMatrix = toBufferMatrix()
val otherBufferMatrix = other.toBufferMatrix()
return elementContext {
produce(rowNum, other.colNum) { i, j ->
var res = one
for (l in 0 until colNum) {
res += bufferMatrix[i, l] * otherBufferMatrix[l, j]
}
res
}
}
}
public override infix fun Matrix<T>.dot(vector: Point<T>): Point<T> {
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
val bufferMatrix = toBufferMatrix()
return elementContext {
bufferFactory(rowNum) { i ->
var res = one
for (j in 0 until colNum) {
res += bufferMatrix[i, j] * vector[j]
}
res
}
}
}
override fun add(a: Matrix<T>, b: Matrix<T>): BufferMatrix<T> {
require(a.rowNum == b.rowNum) { "Row number mismatch in matrix addition. Left side: ${a.rowNum}, right side: ${b.rowNum}" }
require(a.colNum == b.colNum) { "Column number mismatch in matrix addition. Left side: ${a.colNum}, right side: ${b.colNum}" }
val aBufferMatrix = a.toBufferMatrix()
val bBufferMatrix = b.toBufferMatrix()
return elementContext {
produce(a.rowNum, a.colNum) { i, j ->
aBufferMatrix[i, j] + bBufferMatrix[i, j]
}
}
}
// override fun multiply(a: Matrix<T>, k: Number): BufferMatrix<T> {
// val aBufferMatrix = a.toBufferMatrix()
// return elementContext {
// produce(a.rowNum, a.colNum) { i, j -> aBufferMatrix[i, j] * k.toDouble() }
// }
// }
public companion object
}
public class BufferMatrix<T : Any>(
public override val rowNum: Int,
public override val colNum: Int,
public val buffer: Buffer<T>,
) : Matrix<T> {
init {
require(buffer.size == rowNum * colNum) { "Dimension mismatch for matrix structure" }
}
override val shape: IntArray get() = intArrayOf(rowNum, colNum)
public override operator fun get(index: IntArray): T = get(index[0], index[1])
public override operator fun get(i: Int, j: Int): T = buffer[i * colNum + j]
public override fun elements(): Sequence<Pair<IntArray, T>> = sequence {
for (i in 0 until rowNum) for (j in 0 until colNum) yield(intArrayOf(i, j) to get(i, j))
}
public override fun equals(other: Any?): Boolean {
if (this === other) return true
return when (other) {
is NDStructure<*> -> NDStructure.contentEquals(this, other)
else -> false
}
}
override fun hashCode(): Int {
var result = rowNum
result = 31 * result + colNum
result = 31 * result + buffer.hashCode()
return result
}
public override fun toString(): String {
return if (rowNum <= 5 && colNum <= 5)
"Matrix(rowsNum = $rowNum, colNum = $colNum)\n" +
rows.asSequence().joinToString(prefix = "(", postfix = ")", separator = "\n ") { buffer ->
buffer.asSequence().joinToString(separator = "\t") { it.toString() }
}
else "Matrix(rowsNum = $rowNum, colNum = $colNum)"
}
}

11
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LinearAlgebra.kt → kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LinearSolver.kt
View File

@ -1,25 +1,22 @@
package space.kscience.kmath.linear
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.VirtualBuffer
public typealias Point<T> = Buffer<T>
import space.kscience.kmath.nd.as1D
/**
* A group of methods to resolve equation A dot X = B, where A and B are matrices or vectors
*/
public interface LinearSolver<T : Any> {
public fun solve(a: Matrix<T>, b: Matrix<T>): Matrix<T>
public fun solve(a: Matrix<T>, b: Point<T>): Point<T> = solve(a, b.asMatrix()).asPoint()
public fun solve(a: Matrix<T>, b: Point<T>): Point<T> = solve(a, b.asMatrix()).asVector()
public fun inverse(a: Matrix<T>): Matrix<T>
}
/**
* Convert matrix to vector if it is possible
*/
public fun <T : Any> Matrix<T>.asPoint(): Point<T> =
public fun <T : Any> Matrix<T>.asVector(): Point<T> =
if (this.colNum == 1)
VirtualBuffer(rowNum) { get(it, 0) }
as1D()
else
error("Can't convert matrix with more than one column to vector")

204
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LinearSpace.kt Normal file
View File

@ -0,0 +1,204 @@
package space.kscience.kmath.linear
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import kotlin.reflect.KClass
/**
* Alias for [Structure2D] with more familiar name.
*
* @param T the type of items.
*/
public typealias Matrix<T> = Structure2D<T>
/**
* Alias or using [Buffer] as a point/vector in a many-dimensional space.
*/
public typealias Point<T> = Buffer<T>
/**
* Basic operations on matrices and vectors. Operates on [Matrix].
*
* @param T the type of items in the matrices.
* @param M the type of operated matrices.
*/
public interface LinearSpace<T : Any, out A : Ring<T>> {
public val elementAlgebra: A
/**
* Produces a matrix with this context and given dimensions.
*/
public fun buildMatrix(rows: Int, columns: Int, initializer: A.(i: Int, j: Int) -> T): Matrix<T>
/**
* Produces a point compatible with matrix space (and possibly optimized for it).
*/
public fun buildVector(size: Int, initializer: A.(Int) -> T): Point<T>
public operator fun Matrix<T>.unaryMinus(): Matrix<T> = buildMatrix(rowNum, colNum) { i, j ->
-get(i, j)
}
public operator fun Point<T>.unaryMinus(): Point<T> = buildVector(size) {
-get(it)
}
/**
* Matrix sum
*/
public operator fun Matrix<T>.plus(other: Matrix<T>): Matrix<T> = buildMatrix(rowNum, colNum) { i, j ->
get(i, j) + other[i, j]
}
/**
* Vector sum
*/
public operator fun Point<T>.plus(other: Point<T>): Point<T> = buildVector(size) {
get(it) + other[it]
}
/**
* Matrix subtraction
*/
public operator fun Matrix<T>.minus(other: Matrix<T>): Matrix<T> = buildMatrix(rowNum, colNum) { i, j ->
get(i, j) - other[i, j]
}
/**
* Vector subtraction
*/
public operator fun Point<T>.minus(other: Point<T>): Point<T> = buildVector(size) {
get(it) - other[it]
}
/**
* Computes the dot product of this matrix and another one.
*
* @receiver the multiplicand.
* @param other the multiplier.
* @return the dot product.
*/
public infix fun Matrix<T>.dot(other: Matrix<T>): Matrix<T> {
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
return elementAlgebra {
buildMatrix(rowNum, other.colNum) { i, j ->
var res = zero
for (l in 0 until colNum) {
res += this@dot[i, l] * other[l, j]
}
res
}
}
}
/**
* Computes the dot product of this matrix and a vector.
*
* @receiver the multiplicand.
* @param vector the multiplier.
* @return the dot product.
*/
public infix fun Matrix<T>.dot(vector: Point<T>): Point<T> {
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
return elementAlgebra {
buildVector(rowNum) { i ->
var res = one
for (j in 0 until colNum) {
res += this@dot[i, j] * vector[j]
}
res
}
}
}
/**
* Multiplies a matrix by its element.
*
* @receiver the multiplicand.
* @param value the multiplier.
* @receiver the product.
*/
public operator fun Matrix<T>.times(value: T): Matrix<T> =
buildMatrix(rowNum, colNum) { i, j -> get(i, j) * value }
/**
* Multiplies an element by a matrix of it.
*
* @receiver the multiplicand.
* @param m the multiplier.
* @receiver the product.
*/
public operator fun T.times(m: Matrix<T>): Matrix<T> = m * this
/**
* Multiplies a vector by its element.
*
* @receiver the multiplicand.
* @param value the multiplier.
* @receiver the product.
*/
public operator fun Point<T>.times(value: T): Point<T> =
buildVector(size) { i -> get(i) * value }
/**
* Multiplies an element by a vector of it.
*
* @receiver the multiplicand.
* @param v the multiplier.
* @receiver the product.
*/
public operator fun T.times(v: Point<T>): Point<T> = v * this
/**
* Gets a feature from the matrix. This function may return some additional features to
* [space.kscience.kmath.nd.NDStructure.getFeature].
*
* @param F the type of feature.
* @param m the matrix.
* @param type the [KClass] instance of [F].
* @return a feature object or `null` if it isn't present.
*/
@UnstableKMathAPI
public fun <F : Any> getFeature(m: Matrix<T>, type: KClass<F>): F? = m.getFeature(type)
public companion object {
/**
* A structured matrix with custom buffer
*/
public fun <T : Any, A : Ring<T>> buffered(
algebra: A,
bufferFactory: BufferFactory<T> = Buffer.Companion::boxing,
): LinearSpace<T, A> = BufferLinearSpace(algebra,bufferFactory)
public val real: LinearSpace<Double, RealField> = buffered(RealField, Buffer.Companion::real)
/**
* Automatic buffered matrix, unboxed if it is possible
*/
public inline fun <reified T : Any, A : Ring<T>> auto(ring: A): LinearSpace<T, A> =
buffered(ring, Buffer.Companion::auto)
}
}
public operator fun <LS : LinearSpace<*, *>, R> LS.invoke(block: LS.() -> R): R = run(block)
/**
* Gets a feature from the matrix. This function may return some additional features to
* [space.kscience.kmath.nd.NDStructure.getFeature].
*
* @param T the type of items in the matrices.
* @param M the type of operated matrices.
* @param F the type of feature.
* @receiver the [LinearSpace] of [T].
* @param m the matrix.
* @return a feature object or `null` if it isn't present.
*/
@UnstableKMathAPI
public inline fun <T : Any, reified F : Any> LinearSpace<T, *>.getFeature(m: Matrix<T>): F? = getFeature(m, F::class)

35
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LupDecomposition.kt
View File

@ -12,7 +12,7 @@ import space.kscience.kmath.structures.MutableBufferFactory
* Common implementation of [LupDecompositionFeature].
*/
public class LupDecomposition<T : Any>(
public val context: MatrixContext<T, Matrix<T>>,
public val context: LinearSpace<T, *>,
public val elementContext: Field<T>,
public val lu: Matrix<T>,
public val pivot: IntArray,
@ -62,15 +62,14 @@ public class LupDecomposition<T : Any>(
}
@PublishedApi
internal fun <T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, *>.abs(value: T): T =
if (value > elementContext.zero) value else elementContext { -value }
internal fun <T : Comparable<T>> LinearSpace<T, Ring<T>>.abs(value: T): T =
if (value > elementAlgebra.zero) value else elementAlgebra { -value }
/**
* Create a lup decomposition of generic matrix.
*/
public fun <T : Comparable<T>> MatrixContext<T, Matrix<T>>.lup(
public fun <T : Comparable<T>> LinearSpace<T, Field<T>>.lup(
factory: MutableBufferFactory<T>,
elementContext: Field<T>,
matrix: Matrix<T>,
checkSingular: (T) -> Boolean,
): LupDecomposition<T> {
@ -80,7 +79,7 @@ public fun <T : Comparable<T>> MatrixContext<T, Matrix<T>>.lup(
//TODO just waits for KEEP-176
BufferAccessor2D(matrix.rowNum, matrix.colNum, factory).run {
elementContext {
elementAlgebra {
val lu = create(matrix)
// Initialize permutation array and parity
@ -142,18 +141,18 @@ public fun <T : Comparable<T>> MatrixContext<T, Matrix<T>>.lup(
for (row in col + 1 until m) lu[row, col] /= luDiag
}
return LupDecomposition(this@lup, elementContext, lu.collect(), pivot, even)
return LupDecomposition(this@lup, elementAlgebra, lu.collect(), pivot, even)
}
}
}
public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, Matrix<T>>.lup(
public inline fun <reified T : Comparable<T>> LinearSpace<T, Field<T>>.lup(
matrix: Matrix<T>,
noinline checkSingular: (T) -> Boolean,
): LupDecomposition<T> = lup(MutableBuffer.Companion::auto, elementContext, matrix, checkSingular)
): LupDecomposition<T> = lup(MutableBuffer.Companion::auto, matrix, checkSingular)
public fun MatrixContext<Double, Matrix<Double>>.lup(matrix: Matrix<Double>): LupDecomposition<Double> =
lup(Buffer.Companion::real, RealField, matrix) { it < 1e-11 }
public fun LinearSpace<Double, RealField>.lup(matrix: Matrix<Double>): LupDecomposition<Double> =
lup(Buffer.Companion::real, matrix) { it < 1e-11 }
public fun <T : Any> LupDecomposition<T>.solveWithLup(
factory: MutableBufferFactory<T>,
@ -198,7 +197,7 @@ public fun <T : Any> LupDecomposition<T>.solveWithLup(
}
}
return context.produce(pivot.size, matrix.colNum) { i, j -> bp[i, j] }
return context.buildMatrix(pivot.size, matrix.colNum) { i, j -> bp[i, j] }
}
}
}
@ -210,18 +209,18 @@ public inline fun <reified T : Any> LupDecomposition<T>.solveWithLup(matrix: Mat
* Solves a system of linear equations *ax = b** using LUP decomposition.
*/
@OptIn(UnstableKMathAPI::class)
public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, Matrix<T>>.solveWithLup(
public inline fun <reified T : Comparable<T>> LinearSpace<T, Field<T>>.solveWithLup(
a: Matrix<T>,
b: Matrix<T>,
noinline bufferFactory: MutableBufferFactory<T> = MutableBuffer.Companion::auto,
noinline checkSingular: (T) -> Boolean,
): Matrix<T> {
// Use existing decomposition if it is provided by matrix
val decomposition = a.getFeature() ?: lup(bufferFactory, elementContext, a, checkSingular)
val decomposition = a.getFeature() ?: lup(bufferFactory, a, checkSingular)
return decomposition.solveWithLup(bufferFactory, b)
}
public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, Matrix<T>>.inverseWithLup(
public inline fun <reified T : Comparable<T>> LinearSpace<T, Field<T>>.inverseWithLup(
matrix: Matrix<T>,
noinline bufferFactory: MutableBufferFactory<T> = MutableBuffer.Companion::auto,
noinline checkSingular: (T) -> Boolean,
@ -229,15 +228,15 @@ public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext
@OptIn(UnstableKMathAPI::class)
public fun RealMatrixContext.solveWithLup(a: Matrix<Double>, b: Matrix<Double>): Matrix<Double> {
public fun LinearSpace<Double, RealField>.solveWithLup(a: Matrix<Double>, b: Matrix<Double>): Matrix<Double> {
// Use existing decomposition if it is provided by matrix
val bufferFactory: MutableBufferFactory<Double> = MutableBuffer.Companion::real
val decomposition: LupDecomposition<Double> = a.getFeature() ?: lup(bufferFactory, RealField, a) { it < 1e-11 }
val decomposition: LupDecomposition<Double> = a.getFeature() ?: lup(bufferFactory, a) { it < 1e-11 }
return decomposition.solveWithLup(bufferFactory, b)
}
/**
* Inverses a square matrix using LUP decomposition. Non square matrix will throw a error.
*/
public fun RealMatrixContext.inverseWithLup(matrix: Matrix<Double>): Matrix<Double> =
public fun LinearSpace<Double, RealField>.inverseWithLup(matrix: Matrix<Double>): Matrix<Double> =
solveWithLup(matrix, one(matrix.rowNum, matrix.colNum))

57
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/MatrixBuilder.kt
View File

@ -1,46 +1,43 @@
package space.kscience.kmath.linear
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.asBuffer
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.Ring
public class MatrixBuilder(public val rows: Int, public val columns: Int) {
public operator fun <T : Any> invoke(vararg elements: T): Matrix<T> {
public class MatrixBuilder<T : Any, A : Ring<T>>(
public val linearSpace: LinearSpace<T, A>,
public val rows: Int,
public val columns: Int,
) {
public operator fun invoke(vararg elements: T): Matrix<T> {
require(rows * columns == elements.size) { "The number of elements ${elements.size} is not equal $rows * $columns" }
val buffer = elements.asBuffer()
return BufferMatrix(rows, columns, buffer)
return linearSpace.buildMatrix(rows, columns) { i, j -> elements[i * columns + j] }
}
//TODO add specific matrix builder functions like diagonal, etc
}
public fun Structure2D.Companion.build(rows: Int, columns: Int): MatrixBuilder = MatrixBuilder(rows, columns)
/**
* Create a matrix builder with given number of rows and columns
*/
@UnstableKMathAPI
public fun <T : Any, A : Ring<T>> LinearSpace<T, A>.matrix(rows: Int, columns: Int): MatrixBuilder<T, A> =
MatrixBuilder(this, rows, columns)
public fun <T : Any> Structure2D.Companion.row(vararg values: T): Matrix<T> {
val buffer = values.asBuffer()
return BufferMatrix(1, values.size, buffer)
@UnstableKMathAPI
public fun <T : Any> LinearSpace<T, Ring<T>>.vector(vararg elements: T): Point<T> {
return buildVector(elements.size) { elements[it] }
}
public inline fun <reified T : Any> Structure2D.Companion.row(
public inline fun <T : Any> LinearSpace<T, Ring<T>>.row(
size: Int,
factory: BufferFactory<T> = Buffer.Companion::auto,
noinline builder: (Int) -> T,
): Matrix<T> {
val buffer = factory(size, builder)
return BufferMatrix(1, size, buffer)
}
crossinline builder: (Int) -> T,
): Matrix<T> = buildMatrix(1, size) { _, j -> builder(j) }
public fun <T : Any> Structure2D.Companion.column(vararg values: T): Matrix<T> {
val buffer = values.asBuffer()
return BufferMatrix(values.size, 1, buffer)
}
public fun <T : Any> LinearSpace<T, Ring<T>>.row(vararg values: T): Matrix<T> = row(values.size, values::get)
public inline fun <reified T : Any> Structure2D.Companion.column(
public inline fun <T : Any> LinearSpace<T, Ring<T>>.column(
size: Int,
factory: BufferFactory<T> = Buffer.Companion::auto,
noinline builder: (Int) -> T,
): Matrix<T> {
val buffer = factory(size, builder)
return BufferMatrix(size, 1, buffer)
}
crossinline builder: (Int) -> T,
): Matrix<T> = buildMatrix(size, 1) { i, _ -> builder(i) }
public fun <T : Any> LinearSpace<T, Ring<T>>.column(vararg values: T): Matrix<T> = column(values.size, values::get)

173
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/MatrixContext.kt
View File

@ -1,173 +0,0 @@
package space.kscience.kmath.linear
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.*
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.asSequence
import kotlin.reflect.KClass
/**
* Basic operations on matrices. Operates on [Matrix].
*
* @param T the type of items in the matrices.
* @param M the type of operated matrices.
*/
public interface MatrixContext<T : Any, out M : Matrix<T>> : GroupOperations<Matrix<T>>, ScaleOperations<Matrix<T>> {
/**
* Produces a matrix with this context and given dimensions.
*/
public fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> T): M
/**
* Produces a point compatible with matrix space (and possibly optimized for it).
*/
public fun point(size: Int, initializer: (Int) -> T): Point<T> = Buffer.boxing(size, initializer)
@Suppress("UNCHECKED_CAST")
public override fun binaryOperationFunction(operation: String): (left: Matrix<T>, right: Matrix<T>) -> M =
when (operation) {
"dot" -> { left, right -> left dot right }
else -> super<GroupOperations>.binaryOperationFunction(operation) as (Matrix<T>, Matrix<T>) -> M
}
/**
* Computes the dot product of this matrix and another one.
*
* @receiver the multiplicand.
* @param other the multiplier.
* @return the dot product.
*/
public infix fun Matrix<T>.dot(other: Matrix<T>): M
/**
* Computes the dot product of this matrix and a vector.
*
* @receiver the multiplicand.
* @param vector the multiplier.
* @return the dot product.
*/
public infix fun Matrix<T>.dot(vector: Point<T>): Point<T>
/**
* Multiplies a matrix by its element.
*
* @receiver the multiplicand.
* @param value the multiplier.
* @receiver the product.
*/
public operator fun Matrix<T>.times(value: T): M
/**
* Multiplies an element by a matrix of it.
*
* @receiver the multiplicand.
* @param m the multiplier.
* @receiver the product.
*/
public operator fun T.times(m: Matrix<T>): M = m * this
/**
* Gets a feature from the matrix. This function may return some additional features to
* [kscience.kmath.nd.NDStructure.getFeature].
*
* @param F the type of feature.
* @param m the matrix.
* @param type the [KClass] instance of [F].
* @return a feature object or `null` if it isn't present.
*/
@UnstableKMathAPI
public fun <F : Any> getFeature(m: Matrix<T>, type: KClass<F>): F? = m.getFeature(type)
public companion object {
/**
* A structured matrix with custom buffer
*/
public fun <T : Any, A> buffered(
ring: A,
bufferFactory: BufferFactory<T> = Buffer.Companion::boxing,
): GenericMatrixContext<T, A, BufferMatrix<T>> where A : Ring<T>, A: ScaleOperations<T> = BufferMatrixContext(ring, bufferFactory)
/**
* Automatic buffered matrix, unboxed if it is possible
*/
public inline fun <reified T : Any, A> auto(ring: A): GenericMatrixContext<T, A, BufferMatrix<T>> where A : Ring<T>, A: ScaleOperations<T> =
buffered(ring, Buffer.Companion::auto)
}
}
/**
* Gets a feature from the matrix. This function may return some additional features to
* [kscience.kmath.nd.NDStructure.getFeature].
*
* @param T the type of items in the matrices.
* @param M the type of operated matrices.
* @param F the type of feature.
* @receiver the [MatrixContext] of [T].
* @param m the matrix.
* @return a feature object or `null` if it isn't present.
*/
@UnstableKMathAPI
public inline fun <T : Any, reified F : Any> MatrixContext<T, *>.getFeature(m: Matrix<T>): F? =
getFeature(m, F::class)
/**
* Partial implementation of [MatrixContext] for matrices of [Ring].
*
* @param T the type of items in the matrices.
* @param A the type of ring of matrix elements.
* @param M the type of operated matrices.
*/
public interface GenericMatrixContext<T : Any, A, out M : Matrix<T>> : MatrixContext<T, M> where A : Ring<T>, A : ScaleOperations<T>{
/**
* The ring over matrix elements.
*/
public val elementContext: A
public override infix fun Matrix<T>.dot(other: Matrix<T>): M {
//TODO add typed error
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
return produce(rowNum, other.colNum) { i, j ->
val row = rows[i]
val column = other.columns[j]
elementContext { sum(row.asSequence().zip(column.asSequence(), ::multiply)) }
}
}
public override infix fun Matrix<T>.dot(vector: Point<T>): Point<T> {
//TODO add typed error
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
return point(rowNum) { i ->
val row = rows[i]
elementContext { sum(row.asSequence().zip(vector.asSequence(), ::multiply)) }
}
}
public override operator fun Matrix<T>.unaryMinus(): M =
produce(rowNum, colNum) { i, j -> elementContext { -get(i, j) } }
public override fun add(a: Matrix<T>, b: Matrix<T>): M {
require(a.rowNum == b.rowNum && a.colNum == b.colNum) {
"Matrix operation dimension mismatch. [${a.rowNum},${a.colNum}] + [${b.rowNum},${b.colNum}]"
}
return produce(a.rowNum, a.colNum) { i, j -> elementContext { a[i, j] + b[i, j] } }
}
public override operator fun Matrix<T>.minus(b: Matrix<T>): M {
require(rowNum == b.rowNum && colNum == b.colNum) {
"Matrix operation dimension mismatch. [$rowNum,$colNum] - [${b.rowNum},${b.colNum}]"
}
return produce(rowNum, colNum) { i, j -> elementContext { get(i, j) + b[i, j] } }
}
//
// public override fun multiply(a: Matrix<T>, k: Number): M =
// produce(a.rowNum, a.colNum) { i, j -> elementContext { a[i, j] * k } }
public override operator fun Matrix<T>.times(value: T): M =
produce(rowNum, colNum) { i, j -> elementContext { get(i, j) * value } }
}

30
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/MatrixWrapper.kt
View File

@ -1,14 +1,9 @@
package space.kscience.kmath.linear
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.nd.getFeature
import space.kscience.kmath.operations.Ring
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.structures.asBuffer
import kotlin.math.sqrt
import kotlin.reflect.KClass
import kotlin.reflect.safeCast
/**
* A [Matrix] that holds [MatrixFeature] objects.
@ -24,7 +19,8 @@ public class MatrixWrapper<T : Any> internal constructor(
* Get the first feature matching given class. Does not guarantee that matrix has only one feature matching the criteria
*/
@UnstableKMathAPI
override fun <T : Any> getFeature(type: KClass<T>): T? = type.safeCast(features.find { type.isInstance(it) })
@Suppress("UNCHECKED_CAST")
override fun <T : Any> getFeature(type: KClass<T>): T? = features.singleOrNull { type.isInstance(it) } as? T
?: origin.getFeature(type)
override fun equals(other: Any?): Boolean = origin == other
@ -61,35 +57,25 @@ public operator fun <T : Any> Matrix<T>.plus(newFeatures: Collection<MatrixFeatu
MatrixWrapper(this, newFeatures.toSet())
}
/**
* Build a square matrix from given elements.
*/
public fun <T : Any> Structure2D.Companion.square(vararg elements: T): Matrix<T> {
val size: Int = sqrt(elements.size.toDouble()).toInt()
require(size * size == elements.size) { "The number of elements ${elements.size} is not a full square" }
val buffer = elements.asBuffer()
return BufferMatrix(size, size, buffer)
}
/**
* Diagonal matrix of ones. The matrix is virtual no actual matrix is created
*/
public fun <T : Any, A> GenericMatrixContext<T, A, *>.one(
public fun <T : Any> LinearSpace<T, Ring<T>>.one(
rows: Int,
columns: Int,
): Matrix<T> where A : Ring<T>, A : ScaleOperations<T> = VirtualMatrix(rows, columns) { i, j ->
if (i == j) elementContext.one else elementContext.zero
): Matrix<T> = VirtualMatrix(rows, columns) { i, j ->
if (i == j) elementAlgebra.one else elementAlgebra.zero
} + UnitFeature
/**
* A virtual matrix of zeroes
*/
public fun <T : Any, A> GenericMatrixContext<T, A, *>.zero(
public fun <T : Any> LinearSpace<T, Ring<T>>.zero(
rows: Int,
columns: Int,
): Matrix<T> where A : Ring<T>, A : ScaleOperations<T> = VirtualMatrix(rows, columns) { _, _ ->
elementContext.zero
): Matrix<T> = VirtualMatrix(rows, columns) { _, _ ->
elementAlgebra.zero
} + ZeroFeature
public class TransposedFeature<T : Any>(public val original: Matrix<T>) : MatrixFeature

85
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/RealMatrixContext.kt
View File

@ -1,85 +0,0 @@
package space.kscience.kmath.linear
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.structures.RealBuffer
public object RealMatrixContext : MatrixContext<Double, BufferMatrix<Double>>, ScaleOperations<Matrix<Double>> {
public override fun produce(
rows: Int,
columns: Int,
initializer: (i: Int, j: Int) -> Double,
): BufferMatrix<Double> {
val buffer = RealBuffer(rows * columns) { offset -> initializer(offset / columns, offset % columns) }
return BufferMatrix(rows, columns, buffer)
}
public fun Matrix<Double>.toBufferMatrix(): BufferMatrix<Double> = if (this is BufferMatrix) this else {
produce(rowNum, colNum) { i, j -> get(i, j) }
}
public fun one(rows: Int, columns: Int): Matrix<Double> = VirtualMatrix(rows, columns) { i, j ->
if (i == j) 1.0 else 0.0
} + DiagonalFeature
override fun Matrix<Double>.unaryMinus(): Matrix<Double> = produce(rowNum, colNum) { i, j -> -get(i, j) }
public override infix fun Matrix<Double>.dot(other: Matrix<Double>): BufferMatrix<Double> {
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
val bufferMatrix = toBufferMatrix()
val otherBufferMatrix = other.toBufferMatrix()
return produce(rowNum, other.colNum) { i, j ->
var res = 0.0
for (l in 0 until colNum) {
res += bufferMatrix[i, l] * otherBufferMatrix[l, j]
}
res
}
}
public override infix fun Matrix<Double>.dot(vector: Point<Double>): Point<Double> {
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
val bufferMatrix = toBufferMatrix()
return RealBuffer(rowNum) { i ->
var res = 0.0
for (j in 0 until colNum) {
res += bufferMatrix[i, j] * vector[j]
}
res
}
}
override fun add(a: Matrix<Double>, b: Matrix<Double>): BufferMatrix<Double> {
require(a.rowNum == b.rowNum) { "Row number mismatch in matrix addition. Left side: ${a.rowNum}, right side: ${b.rowNum}" }
require(a.colNum == b.colNum) { "Column number mismatch in matrix addition. Left side: ${a.colNum}, right side: ${b.colNum}" }
val aBufferMatrix = a.toBufferMatrix()
val bBufferMatrix = b.toBufferMatrix()
return produce(a.rowNum, a.colNum) { i, j ->
aBufferMatrix[i, j] + bBufferMatrix[i, j]
}
}
override fun scale(a: Matrix<Double>, value: Double): BufferMatrix<Double> {
val bufferMatrix = a.toBufferMatrix()
return produce(a.rowNum, a.colNum) { i, j -> bufferMatrix[i, j] * value }
}
override fun Matrix<Double>.times(value: Double): BufferMatrix<Double> = scale(this, value)
//
// override fun multiply(a: Matrix<Double>, k: Number): BufferMatrix<Double> {
// val aBufferMatrix = a.toBufferMatrix()
// return produce(a.rowNum, a.colNum) { i, j -> aBufferMatrix[i, j] * k.toDouble() }
// }
//
// override fun divide(a: Matrix<Double>, k: Number): BufferMatrix<Double> {
// val aBufferMatrix = a.toBufferMatrix()
// return produce(a.rowNum, a.colNum) { i, j -> aBufferMatrix[i, j] / k.toDouble() }
// }
}
/**
* Partially optimized real-valued matrix
*/
public val MatrixContext.Companion.real: RealMatrixContext get() = RealMatrixContext

72
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/VectorSpace.kt
View File

@ -1,72 +0,0 @@
package space.kscience.kmath.linear
import space.kscience.kmath.operations.Group
import space.kscience.kmath.operations.RealField
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
/**
* A linear space for vectors.
* Could be used on any point-like structure
*/
public interface VectorSpace<T : Any, A> : Group<Point<T>>, ScaleOperations<Point<T>>
where A : Group<T>, A : ScaleOperations<T> {
public val size: Int
public val algebra: A
override val zero: Point<T> get() = produce { algebra.zero }
public fun produce(initializer: A.(Int) -> T): Point<T>
override fun add(a: Point<T>, b: Point<T>): Point<T> = produce { algebra { a[it] + b[it] } }
override fun scale(a: Point<T>, value: Double): Point<T> = produce { algebra.scale(a[it], value) }
override fun Point<T>.unaryMinus(): Point<T> = produce { -get(it) }
//TODO add basis
public companion object {
private val realSpaceCache: MutableMap<Int, BufferVectorSpace<Double, RealField>> = hashMapOf()
/**
* Non-boxing double vector space
*/
public fun real(size: Int): BufferVectorSpace<Double, RealField> = realSpaceCache.getOrPut(size) {
BufferVectorSpace(
size,
RealField,
Buffer.Companion::auto
)
}
/**
* A structured vector space with custom buffer
*/
public fun <T : Any, A> buffered(
size: Int,
space: A,
bufferFactory: BufferFactory<T> = Buffer.Companion::boxing,
): BufferVectorSpace<T, A> where A : Group<T>, A : ScaleOperations<T> =
BufferVectorSpace(size, space, bufferFactory)
/**
* Automatic buffered vector, unboxed if it is possible
*/
public inline fun <reified T : Any, A> auto(
size: Int,
space: A,
): VectorSpace<T, A> where A : Group<T>, A : ScaleOperations<T> =
buffered(size, space, Buffer.Companion::auto)
}
}
public class BufferVectorSpace<T : Any, A>(
override val size: Int,
override val algebra: A,
public val bufferFactory: BufferFactory<T>,
) : VectorSpace<T, A> where A : Group<T>, A : ScaleOperations<T> {
override fun produce(initializer: A.(Int) -> T): Buffer<T> = bufferFactory(size) { algebra.initializer(it) }
}

12
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/VirtualMatrix.kt
View File

@ -1,5 +1,7 @@
package space.kscience.kmath.linear
import space.kscience.kmath.nd.NDStructure
/**
* The matrix where each element is evaluated each time when is being accessed.
*
@ -17,12 +19,8 @@ public class VirtualMatrix<T : Any>(
override fun equals(other: Any?): Boolean {
if (this === other) return true
if (other !is Matrix<*>) return false
if (rowNum != other.rowNum) return false
if (colNum != other.colNum) return false
return elements().all { (index, value) -> value == other[index] }
if (other !is NDStructure<*>) return false
return NDStructure.contentEquals(this, other)
}
override fun hashCode(): Int {
@ -31,6 +29,4 @@ public class VirtualMatrix<T : Any>(
result = 31 * result + generator.hashCode()
return result
}
}

8
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/BufferNDAlgebra.kt
View File

@ -79,20 +79,20 @@ public open class BufferedNDField<T, R : Field<T>>(
override fun scale(a: NDStructure<T>, value: Double): NDStructure<T> = a.map { it * value }
}
// space factories
public fun <T, A : Group<T>> NDAlgebra.Companion.space(
// group factories
public fun <T, A : Group<T>> NDAlgebra.Companion.group(
space: A,
bufferFactory: BufferFactory<T>,
vararg shape: Int,
): BufferedNDGroup<T, A> = BufferedNDGroup(shape, space, bufferFactory)
public inline fun <T, A : Group<T>, R> A.ndSpace(
public inline fun <T, A : Group<T>, R> A.ndGroup(
noinline bufferFactory: BufferFactory<T>,
vararg shape: Int,
action: BufferedNDGroup<T, A>.() -> R,
): R {
contract { callsInPlace(action, InvocationKind.EXACTLY_ONCE) }
return NDAlgebra.space(this, bufferFactory, *shape).run(action)
return NDAlgebra.group(this, bufferFactory, *shape).run(action)
}
//ring factories

8
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/NDStructure.kt
View File

@ -52,7 +52,7 @@ public interface NDStructure<T> {
* optimize operations and performance. If the feature is not present, null is defined.
*/
@UnstableKMathAPI
public fun <T : Any> getFeature(type: KClass<T>): T? = null
public fun <F : Any> getFeature(type: KClass<F>): F? = null
public companion object {
/**
@ -74,7 +74,7 @@ public interface NDStructure<T> {
*
* Strides should be reused if possible.
*/
public fun <T> build(
public fun <T> buffered(
strides: Strides,
bufferFactory: BufferFactory<T> = Buffer.Companion::boxing,
initializer: (IntArray) -> T,
@ -94,11 +94,11 @@ public interface NDStructure<T> {
crossinline initializer: (IntArray) -> T,
): NDBuffer<T> = NDBuffer(strides, Buffer.auto(type, strides.linearSize) { i -> initializer(strides.index(i)) })
public fun <T> build(
public fun <T> buffered(
shape: IntArray,
bufferFactory: BufferFactory<T> = Buffer.Companion::boxing,
initializer: (IntArray) -> T,
): NDBuffer<T> = build(DefaultStrides(shape), bufferFactory, initializer)
): NDBuffer<T> = buffered(DefaultStrides(shape), bufferFactory, initializer)
public inline fun <reified T : Any> auto(
shape: IntArray,

10
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/Structure1D.kt
View File

@ -45,10 +45,12 @@ private inline class Buffer1DWrapper<T>(val buffer: Buffer<T>) : Structure1D<T>
/**
* Represent a [NDStructure] as [Structure1D]. Throw error in case of dimension mismatch
*/
public fun <T> NDStructure<T>.as1D(): Structure1D<T> = if (shape.size == 1) {
if (this is NDBuffer) Buffer1DWrapper(this.buffer) else Structure1DWrapper(this)
} else
error("Can't create 1d-structure from ${shape.size}d-structure")
public fun <T> NDStructure<T>.as1D(): Structure1D<T> = this as? Structure1D<T> ?: if (shape.size == 1) {
when (this) {
is NDBuffer -> Buffer1DWrapper(this.buffer)
else -> Structure1DWrapper(this)
}
} else error("Can't create 1d-structure from ${shape.size}d-structure")
/**
* Represent this buffer as 1D structure

46
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/Structure2D.kt
View File

@ -1,9 +1,9 @@
package space.kscience.kmath.nd
import space.kscience.kmath.linear.BufferMatrix
import space.kscience.kmath.linear.RealMatrixContext
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.VirtualBuffer
import kotlin.reflect.KClass
/**
* A structure that is guaranteed to be two-dimensional.
@ -26,14 +26,14 @@ public interface Structure2D<T> : NDStructure<T> {
/**
* The buffer of rows of this structure. It gets elements from the structure dynamically.
*/
public val rows: Buffer<Buffer<T>>
get() = VirtualBuffer(rowNum) { i -> VirtualBuffer(colNum) { j -> get(i, j) } }
public val rows: List<Buffer<T>>
get() = List(rowNum) { i -> VirtualBuffer(colNum) { j -> get(i, j) } }
/**
* The buffer of columns of this structure. It gets elements from the structure dynamically.
*/
public val columns: Buffer<Buffer<T>>
get() = VirtualBuffer(colNum) { j -> VirtualBuffer(rowNum) { i -> get(i, j) } }
public val columns: List<Buffer<T>>
get() = List(colNum) { j -> VirtualBuffer(rowNum) { i -> get(i, j) } }
/**
* Retrieves an element from the structure by two indices.
@ -54,21 +54,13 @@ public interface Structure2D<T> : NDStructure<T> {
for (j in 0 until colNum) yield(intArrayOf(i, j) to get(i, j))
}
public companion object {
public inline fun real(
rows: Int,
columns: Int,
crossinline init: (i: Int, j: Int) -> Double,
): BufferMatrix<Double> = RealMatrixContext.produce(rows,columns) { i, j ->
init(i, j)
}
}
public companion object
}
/**
* A 2D wrapper for nd-structure
*/
private inline class Structure2DWrapper<T>(val structure: NDStructure<T>) : Structure2D<T> {
private class Structure2DWrapper<T>(val structure: NDStructure<T>) : Structure2D<T> {
override val shape: IntArray get() = structure.shape
override val rowNum: Int get() = shape[0]
@ -76,20 +68,22 @@ private inline class Structure2DWrapper<T>(val structure: NDStructure<T>) : Stru
override operator fun get(i: Int, j: Int): T = structure[i, j]
@UnstableKMathAPI
override fun <F : Any> getFeature(type: KClass<F>): F? = structure.getFeature(type)
override fun elements(): Sequence<Pair<IntArray, T>> = structure.elements()
override fun equals(other: Any?): Boolean = structure == other
override fun hashCode(): Int = structure.hashCode()
}
/**
* Represent a [NDStructure] as [Structure1D]. Throw error in case of dimension mismatch
*/
public fun <T> NDStructure<T>.as2D(): Structure2D<T> = if (shape.size == 2)
Structure2DWrapper(this)
else
error("Can't create 2d-structure from ${shape.size}d-structure")
public fun <T> NDStructure<T>.as2D(): Structure2D<T> = this as? Structure2D<T> ?: when (shape.size) {
2 -> Structure2DWrapper(this)
else -> error("Can't create 2d-structure from ${shape.size}d-structure")
}
/**
* Alias for [Structure2D] with more familiar name.
*
* @param T the type of items in the matrix.
*/
public typealias Matrix<T> = Structure2D<T>
internal fun <T> Structure2D<T>.unwrap(): NDStructure<T> = if (this is Structure2DWrapper) structure else this

6
kmath-core/src/commonMain/kotlin/space/kscience/kmath/structures/BufferAccessor2D.kt
View File

@ -13,10 +13,10 @@ internal class BufferAccessor2D<T : Any>(
public val colNum: Int,
val factory: MutableBufferFactory<T>,
) {
public operator fun Buffer<T>.get(i: Int, j: Int): T = get(i + colNum * j)
public operator fun Buffer<T>.get(i: Int, j: Int): T = get(i*colNum + j)
public operator fun MutableBuffer<T>.set(i: Int, j: Int, value: T) {
set(i + colNum * j, value)
set(i*colNum + j, value)
}
public inline fun create(crossinline init: (i: Int, j: Int) -> T): MutableBuffer<T> =
@ -25,7 +25,7 @@ internal class BufferAccessor2D<T : Any>(
public fun create(mat: Structure2D<T>): MutableBuffer<T> = create { i, j -> mat[i, j] }
//TODO optimize wrapper
public fun MutableBuffer<T>.collect(): Structure2D<T> = NDStructure.build(
public fun MutableBuffer<T>.collect(): Structure2D<T> = NDStructure.buffered(
DefaultStrides(intArrayOf(rowNum, colNum)),
factory
) { (i, j) ->

7
kmath-core/src/commonMain/kotlin/space/kscience/kmath/structures/bufferOperation.kt Normal file
View File

@ -0,0 +1,7 @@
package space.kscience.kmath.structures
public inline fun <T : Any, reified R : Any> Buffer<T>.map(
bufferFactory: BufferFactory<R> = Buffer.Companion::auto,
crossinline block: (T) -> R,
): Buffer<R> = bufferFactory(size) { block(get(it)) }

11
kmath-core/src/commonTest/kotlin/space/kscience/kmath/linear/MatrixTest.kt
View File

@ -1,23 +1,24 @@
package space.kscience.kmath.linear
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.NDStructure
import space.kscience.kmath.nd.as2D
import space.kscience.kmath.operations.invoke
import kotlin.test.Test
import kotlin.test.assertEquals
@UnstableKMathAPI
@Suppress("UNUSED_VARIABLE")
class MatrixTest {
@Test
fun testTranspose() {
val matrix = MatrixContext.real.one(3, 3)
val matrix = LinearSpace.real.one(3, 3)
val transposed = matrix.transpose()
assertEquals(matrix, transposed)
}
@Test
fun testBuilder() {
val matrix = Matrix.build(2, 3)(
val matrix = LinearSpace.real.matrix(2, 3)(
1.0, 0.0, 0.0,
0.0, 1.0, 2.0
)
@ -39,7 +40,7 @@ class MatrixTest {
infix fun Matrix<Double>.pow(power: Int): Matrix<Double> {
var res = this
repeat(power - 1) {
res = RealMatrixContext.invoke { res dot this@pow }
res = LinearSpace.real.run { res dot this@pow }
}
return res
}
@ -52,7 +53,7 @@ class MatrixTest {
val firstMatrix = NDStructure.auto(2, 3) { (i, j) -> (i + j).toDouble() }.as2D()
val secondMatrix = NDStructure.auto(3, 2) { (i, j) -> (i + j).toDouble() }.as2D()
MatrixContext.real.run {
LinearSpace.real.run {
// val firstMatrix = produce(2, 3) { i, j -> (i + j).toDouble() }
// val secondMatrix = produce(3, 2) { i, j -> (i + j).toDouble() }
val result = firstMatrix dot secondMatrix

24
kmath-core/src/commonTest/kotlin/space/kscience/kmath/linear/RealLUSolverTest.kt
View File

@ -1,29 +1,31 @@
package space.kscience.kmath.linear
import space.kscience.kmath.misc.UnstableKMathAPI
import kotlin.test.Test
import kotlin.test.assertEquals
@UnstableKMathAPI
class RealLUSolverTest {
@Test
fun testInvertOne() {
val matrix = MatrixContext.real.one(2, 2)
val inverted = MatrixContext.real.inverseWithLup(matrix)
val matrix = LinearSpace.real.one(2, 2)
val inverted = LinearSpace.real.inverseWithLup(matrix)
assertEquals(matrix, inverted)
}
@Test
fun testDecomposition() {
val matrix = Matrix.square(
3.0, 1.0,
1.0, 3.0
)
LinearSpace.real.run {
val matrix = matrix(2,2)(
3.0, 1.0,
2.0, 3.0
)
MatrixContext.real.run {
val lup = lup(matrix)
//Check determinant
assertEquals(8.0, lup.determinant)
assertEquals(7.0, lup.determinant)
assertEquals(lup.p dot matrix, lup.l dot lup.u)
}
@ -31,14 +33,14 @@ class RealLUSolverTest {
@Test
fun testInvert() {
val matrix = Matrix.square(
val matrix = LinearSpace.real.matrix(2,2)(
3.0, 1.0,
1.0, 3.0
)
val inverted = MatrixContext.real.inverseWithLup(matrix)
val inverted = LinearSpace.real.inverseWithLup(matrix)
val expected = Matrix.square(
val expected = LinearSpace.real.matrix(2,2)(
0.375, -0.125,
-0.125, 0.375
)

5
kmath-core/src/commonTest/kotlin/space/kscience/kmath/structures/NumberNDFieldTest.kt
View File

@ -1,5 +1,6 @@
package space.kscience.kmath.structures
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.nd.*
import space.kscience.kmath.operations.Norm
import space.kscience.kmath.operations.invoke
@ -33,7 +34,9 @@ class NumberNDFieldTest {
@Test
fun testGeneration() {
val array = Structure2D.real(3, 3) { i, j -> (i * 10 + j).toDouble() }
val array = LinearSpace.real.buildMatrix(3, 3) { i, j ->
(i * 10 + j).toDouble()
}
for (i in 0..2) {
for (j in 0..2) {

35
kmath-dimensions/src/commonMain/kotlin/space/kscience/kmath/dimensions/Wrappers.kt
View File

@ -2,7 +2,8 @@ package space.kscience.kmath.dimensions
import space.kscience.kmath.linear.*
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.operations.RealField
import space.kscience.kmath.operations.Ring
/**
* A matrix with compile-time controlled dimension
@ -77,7 +78,7 @@ public inline class DPointWrapper<T, D : Dimension>(public val point: Point<T>)
/**
* Basic operations on dimension-safe matrices. Operates on [Matrix]
*/
public inline class DMatrixContext<T : Any>(public val context: MatrixContext<T, Matrix<T>>) {
public inline class DMatrixContext<T : Any, out A : Ring<T>>(public val context: LinearSpace<T, A>) {
public inline fun <reified R : Dimension, reified C : Dimension> Matrix<T>.coerce(): DMatrix<T, R, C> {
require(rowNum == Dimension.dim<R>().toInt()) {
"Row number mismatch: expected ${Dimension.dim<R>()} but found $rowNum"
@ -93,17 +94,19 @@ public inline class DMatrixContext<T : Any>(public val context: MatrixContext<T,
/**
* Produce a matrix with this context and given dimensions
*/
public inline fun <reified R : Dimension, reified C : Dimension> produce(noinline initializer: (i: Int, j: Int) -> T): DMatrix<T, R, C> {
public inline fun <reified R : Dimension, reified C : Dimension> produce(
noinline initializer: A.(i: Int, j: Int) -> T
): DMatrix<T, R, C> {
val rows = Dimension.dim<R>()
val cols = Dimension.dim<C>()
return context.produce(rows.toInt(), cols.toInt(), initializer).coerce<R, C>()
return context.buildMatrix(rows.toInt(), cols.toInt(), initializer).coerce<R, C>()
}
public inline fun <reified D : Dimension> point(noinline initializer: (Int) -> T): DPoint<T, D> {
public inline fun <reified D : Dimension> point(noinline initializer: A.(Int) -> T): DPoint<T, D> {
val size = Dimension.dim<D>()
return DPoint.coerceUnsafe(
context.point(
context.buildVector(
size.toInt(),
initializer
)
@ -112,31 +115,31 @@ public inline class DMatrixContext<T : Any>(public val context: MatrixContext<T,
public inline infix fun <reified R1 : Dimension, reified C1 : Dimension, reified C2 : Dimension> DMatrix<T, R1, C1>.dot(
other: DMatrix<T, C1, C2>,
): DMatrix<T, R1, C2> = context { this@dot dot other }.coerce()
): DMatrix<T, R1, C2> = context.run { this@dot dot other }.coerce()
public inline infix fun <reified R : Dimension, reified C : Dimension> DMatrix<T, R, C>.dot(vector: DPoint<T, C>): DPoint<T, R> =
DPoint.coerceUnsafe(context { this@dot dot vector })
DPoint.coerceUnsafe(context.run { this@dot dot vector })
public inline operator fun <reified R : Dimension, reified C : Dimension> DMatrix<T, R, C>.times(value: T): DMatrix<T, R, C> =
context { this@times.times(value) }.coerce()
context.run { this@times.times(value) }.coerce()
public inline operator fun <reified R : Dimension, reified C : Dimension> T.times(m: DMatrix<T, R, C>): DMatrix<T, R, C> =
m * this
public inline operator fun <reified R : Dimension, reified C : Dimension> DMatrix<T, C, R>.plus(other: DMatrix<T, C, R>): DMatrix<T, C, R> =
context { this@plus + other }.coerce()
context.run { this@plus + other }.coerce()
public inline operator fun <reified R : Dimension, reified C : Dimension> DMatrix<T, C, R>.minus(other: DMatrix<T, C, R>): DMatrix<T, C, R> =
context { this@minus + other }.coerce()
context.run { this@minus + other }.coerce()
public inline operator fun <reified R : Dimension, reified C : Dimension> DMatrix<T, C, R>.unaryMinus(): DMatrix<T, C, R> =
context { this@unaryMinus.unaryMinus() }.coerce()
context.run { this@unaryMinus.unaryMinus() }.coerce()
public inline fun <reified R : Dimension, reified C : Dimension> DMatrix<T, C, R>.transpose(): DMatrix<T, R, C> =
context { (this@transpose as Matrix<T>).transpose() }.coerce()
context.run { (this@transpose as Matrix<T>).transpose() }.coerce()
public companion object {
public val real: DMatrixContext<Double> = DMatrixContext(MatrixContext.real)
public val real: DMatrixContext<Double, RealField> = DMatrixContext(LinearSpace.real)
}
}
@ -144,11 +147,11 @@ public inline class DMatrixContext<T : Any>(public val context: MatrixContext<T,
/**
* A square unit matrix
*/
public inline fun <reified D : Dimension> DMatrixContext<Double>.one(): DMatrix<Double, D, D> = produce { i, j ->
public inline fun <reified D : Dimension> DMatrixContext<Double, RealField>.one(): DMatrix<Double, D, D> = produce { i, j ->
if (i == j) 1.0 else 0.0
}
public inline fun <reified R : Dimension, reified C : Dimension> DMatrixContext<Double>.zero(): DMatrix<Double, R, C> =
public inline fun <reified R : Dimension, reified C : Dimension> DMatrixContext<Double, RealField>.zero(): DMatrix<Double, R, C> =
produce { _, _ ->
0.0
}

113
kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlLinearSpace.kt Normal file
View File

@ -0,0 +1,113 @@
package space.kscience.kmath.ejml
import org.ejml.simple.SimpleMatrix
import space.kscience.kmath.linear.*
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.getFeature
import space.kscience.kmath.operations.RealField
/**
* Represents context of basic operations operating with [EjmlMatrix].
*
* @author Iaroslav Postovalov
*/
public object EjmlLinearSpace : LinearSpace<Double, RealField> {
override val elementAlgebra: RealField get() = RealField
/**
* Converts this matrix to EJML one.
*/
@OptIn(UnstableKMathAPI::class)
public fun Matrix<Double>.toEjml(): EjmlMatrix = when (val matrix = origin) {
is EjmlMatrix -> matrix
else -> buildMatrix(rowNum, colNum) { i, j -> get(i, j) }
}
/**
* Converts this vector to EJML one.
*/
public fun Point<Double>.toEjml(): EjmlVector = when (this) {
is EjmlVector -> this
else -> EjmlVector(SimpleMatrix(size, 1).also {
(0 until it.numRows()).forEach { row -> it[row, 0] = get(row) }
})
}
override fun buildMatrix(rows: Int, columns: Int, initializer: RealField.(i: Int, j: Int) -> Double): EjmlMatrix =
EjmlMatrix(SimpleMatrix(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = RealField.initializer(row, col) }
}
})
override fun buildVector(size: Int, initializer: RealField.(Int) -> Double): Point<Double> =
EjmlVector(SimpleMatrix(size, 1).also {
(0 until it.numRows()).forEach { row -> it[row, 0] = RealField.initializer(row) }
})
private fun SimpleMatrix.wrapMatrix() = EjmlMatrix(this)
private fun SimpleMatrix.wrapVector() = EjmlVector(this)
override fun Matrix<Double>.unaryMinus(): Matrix<Double> = this * (-1.0)
public override fun Matrix<Double>.dot(other: Matrix<Double>): EjmlMatrix =
EjmlMatrix(toEjml().origin.mult(other.toEjml().origin))
public override fun Matrix<Double>.dot(vector: Point<Double>): EjmlVector =
EjmlVector(toEjml().origin.mult(vector.toEjml().origin))
public override operator fun Matrix<Double>.minus(other: Matrix<Double>): EjmlMatrix =
(toEjml().origin - other.toEjml().origin).wrapMatrix()
public override operator fun Matrix<Double>.times(value: Double): EjmlMatrix =
toEjml().origin.scale(value).wrapMatrix()
override fun Point<Double>.unaryMinus(): EjmlVector =
toEjml().origin.negative().wrapVector()
override fun Matrix<Double>.plus(other: Matrix<Double>): EjmlMatrix =
(toEjml().origin + other.toEjml().origin).wrapMatrix()
override fun Point<Double>.plus(other: Point<Double>): EjmlVector =
(toEjml().origin + other.toEjml().origin).wrapVector()
override fun Point<Double>.minus(other: Point<Double>): EjmlVector =
(toEjml().origin - other.toEjml().origin).wrapVector()
override fun Double.times(m: Matrix<Double>): EjmlMatrix =
m.toEjml().origin.scale(this).wrapMatrix()
override fun Point<Double>.times(value: Double): EjmlVector =
toEjml().origin.scale(value).wrapVector()
override fun Double.times(v: Point<Double>): EjmlVector =
v.toEjml().origin.scale(this).wrapVector()
}
/**
* Solves for X in the following equation: x = a^-1*b, where 'a' is base matrix and 'b' is an n by p matrix.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for 'x' that is n by p.
* @author Iaroslav Postovalov
*/
public fun EjmlLinearSpace.solve(a: Matrix<Double>, b: Matrix<Double>): EjmlMatrix =
EjmlMatrix(a.toEjml().origin.solve(b.toEjml().origin))
/**
* Solves for X in the following equation: x = a^(-1)*b, where 'a' is base matrix and 'b' is an n by p matrix.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for 'x' that is n by p.
* @author Iaroslav Postovalov
*/
public fun EjmlLinearSpace.solve(a: Matrix<Double>, b: Point<Double>): EjmlVector =
EjmlVector(a.toEjml().origin.solve(b.toEjml().origin))
@OptIn(UnstableKMathAPI::class)
public fun EjmlMatrix.inverted(): EjmlMatrix = getFeature<InverseMatrixFeature<Double>>()!!.inverse as EjmlMatrix
public fun EjmlLinearSpace.inverse(matrix: Matrix<Double>): Matrix<Double> = matrix.toEjml().inverted()

2
kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlMatrix.kt
View File

@ -85,7 +85,7 @@ public class EjmlMatrix(public val origin: SimpleMatrix) : Matrix<Double> {
override fun equals(other: Any?): Boolean {
if (this === other) return true
if (other !is Matrix<*>) return false
if (other !is NDStructure<*>) return false
return NDStructure.contentEquals(this, other)
}

92
kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlMatrixContext.kt
View File

@ -1,92 +0,0 @@
package space.kscience.kmath.ejml
import org.ejml.simple.SimpleMatrix
import space.kscience.kmath.linear.*
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.getFeature
import space.kscience.kmath.operations.ScaleOperations
/**
* Represents context of basic operations operating with [EjmlMatrix].
*
* @author Iaroslav Postovalov
*/
public object EjmlMatrixContext : MatrixContext<Double, EjmlMatrix>, ScaleOperations<Matrix<Double>> {
/**
* Converts this matrix to EJML one.
*/
@OptIn(UnstableKMathAPI::class)
public fun Matrix<Double>.toEjml(): EjmlMatrix = when (val matrix = origin) {
is EjmlMatrix -> matrix
else -> produce(rowNum, colNum) { i, j -> get(i, j) }
}
/**
* Converts this vector to EJML one.
*/
public fun Point<Double>.toEjml(): EjmlVector =
if (this is EjmlVector) this else EjmlVector(SimpleMatrix(size, 1).also {
(0 until it.numRows()).forEach { row -> it[row, 0] = get(row) }
})
override fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> Double): EjmlMatrix =
EjmlMatrix(SimpleMatrix(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = initializer(row, col) }
}
})
override fun point(size: Int, initializer: (Int) -> Double): Point<Double> =
EjmlVector(SimpleMatrix(size, 1).also {
(0 until it.numRows()).forEach { row -> it[row, 0] = initializer(row) }
})
override fun Matrix<Double>.unaryMinus(): Matrix<Double> = this*(-1)
public override fun Matrix<Double>.dot(other: Matrix<Double>): EjmlMatrix =
EjmlMatrix(toEjml().origin.mult(other.toEjml().origin))
public override fun Matrix<Double>.dot(vector: Point<Double>): EjmlVector =
EjmlVector(toEjml().origin.mult(vector.toEjml().origin))
public override fun add(a: Matrix<Double>, b: Matrix<Double>): EjmlMatrix =
EjmlMatrix(a.toEjml().origin + b.toEjml().origin)
public override operator fun Matrix<Double>.minus(b: Matrix<Double>): EjmlMatrix =
EjmlMatrix(toEjml().origin - b.toEjml().origin)
public override fun scale(a: Matrix<Double>, value: Double): EjmlMatrix =
produce(a.rowNum, a.colNum) { i, j -> a[i, j] * value }
public override operator fun Matrix<Double>.times(value: Double): EjmlMatrix =
EjmlMatrix(toEjml().origin.scale(value))
}
/**
* Solves for X in the following equation: x = a^-1*b, where 'a' is base matrix and 'b' is an n by p matrix.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for 'x' that is n by p.
* @author Iaroslav Postovalov
*/
public fun EjmlMatrixContext.solve(a: Matrix<Double>, b: Matrix<Double>): EjmlMatrix =
EjmlMatrix(a.toEjml().origin.solve(b.toEjml().origin))
/**
* Solves for X in the following equation: x = a^(-1)*b, where 'a' is base matrix and 'b' is an n by p matrix.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for 'x' that is n by p.
* @author Iaroslav Postovalov
*/
public fun EjmlMatrixContext.solve(a: Matrix<Double>, b: Point<Double>): EjmlVector =
EjmlVector(a.toEjml().origin.solve(b.toEjml().origin))
@OptIn(UnstableKMathAPI::class)
public fun EjmlMatrix.inverted(): EjmlMatrix = getFeature<InverseMatrixFeature<Double>>()!!.inverse as EjmlMatrix
public fun EjmlMatrixContext.inverse(matrix: Matrix<Double>): Matrix<Double> = matrix.toEjml().inverted()

59
kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/RealMatrix.kt
View File

@ -2,6 +2,7 @@ package space.kscience.kmath.real
import space.kscience.kmath.linear.*
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.RealField
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.RealBuffer
import space.kscience.kmath.structures.asIterable
@ -21,15 +22,19 @@ import kotlin.math.pow
public typealias RealMatrix = Matrix<Double>
public fun realMatrix(rowNum: Int, colNum: Int, initializer: (i: Int, j: Int) -> Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum, initializer)
public fun realMatrix(rowNum: Int, colNum: Int, initializer: RealField.(i: Int, j: Int) -> Double): RealMatrix =
LinearSpace.real.buildMatrix(rowNum, colNum, initializer)
@OptIn(UnstableKMathAPI::class)
public fun realMatrix(rowNum: Int, colNum: Int): MatrixBuilder<Double, RealField> =
LinearSpace.real.matrix(rowNum, colNum)
public fun Array<DoubleArray>.toMatrix(): RealMatrix {
return MatrixContext.real.produce(size, this[0].size) { row, col -> this[row][col] }
return LinearSpace.real.buildMatrix(size, this[0].size) { row, col -> this@toMatrix[row][col] }
}
public fun Sequence<DoubleArray>.toMatrix(): RealMatrix = toList().let {
MatrixContext.real.produce(it.size, it[0].size) { row, col -> it[row][col] }
LinearSpace.real.buildMatrix(it.size, it[0].size) { row, col -> it[row][col] }
}
public fun RealMatrix.repeatStackVertical(n: Int): RealMatrix =
@ -42,38 +47,38 @@ public fun RealMatrix.repeatStackVertical(n: Int): RealMatrix =
*/
public operator fun RealMatrix.times(double: Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col ->
this[row, col] * double
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col ->
get(row, col) * double
}
public operator fun RealMatrix.plus(double: Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col ->
this[row, col] + double
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col ->
get(row, col) + double
}
public operator fun RealMatrix.minus(double: Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col ->
this[row, col] - double
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col ->
get(row, col) - double
}
public operator fun RealMatrix.div(double: Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col ->
this[row, col] / double
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col ->
get(row, col) / double
}
public operator fun Double.times(matrix: RealMatrix): RealMatrix =
MatrixContext.real.produce(matrix.rowNum, matrix.colNum) { row, col ->
this * matrix[row, col]
LinearSpace.real.buildMatrix(matrix.rowNum, matrix.colNum) { row, col ->
this@times * matrix[row, col]
}
public operator fun Double.plus(matrix: RealMatrix): RealMatrix =
MatrixContext.real.produce(matrix.rowNum, matrix.colNum) { row, col ->
this + matrix[row, col]
LinearSpace.real.buildMatrix(matrix.rowNum, matrix.colNum) { row, col ->
this@plus + matrix[row, col]
}
public operator fun Double.minus(matrix: RealMatrix): RealMatrix =
MatrixContext.real.produce(matrix.rowNum, matrix.colNum) { row, col ->
this - matrix[row, col]
LinearSpace.real.buildMatrix(matrix.rowNum, matrix.colNum) { row, col ->
this@minus - matrix[row, col]
}
// TODO: does this operation make sense? Should it be 'this/matrix[row, col]'?
@ -87,29 +92,29 @@ public operator fun Double.minus(matrix: RealMatrix): RealMatrix =
@UnstableKMathAPI
public operator fun RealMatrix.times(other: RealMatrix): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col -> this[row, col] * other[row, col] }
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col -> this@times[row, col] * other[row, col] }
public operator fun RealMatrix.plus(other: RealMatrix): RealMatrix =
MatrixContext.real.add(this, other)
LinearSpace.real.run { this@plus + other }
public operator fun RealMatrix.minus(other: RealMatrix): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { row, col -> this[row, col] - other[row, col] }
LinearSpace.real.buildMatrix(rowNum, colNum) { row, col -> this@minus[row, col] - other[row, col] }
/*
* Operations on columns
*/
public inline fun RealMatrix.appendColumn(crossinline mapper: (Buffer<Double>) -> Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum + 1) { row, col ->
LinearSpace.real.buildMatrix(rowNum, colNum + 1) { row, col ->
if (col < colNum)
this[row, col]
get(row, col)
else
mapper(rows[row])
}
public fun RealMatrix.extractColumns(columnRange: IntRange): RealMatrix =
MatrixContext.real.produce(rowNum, columnRange.count()) { row, col ->
this[row, columnRange.first + col]
LinearSpace.real.buildMatrix(rowNum, columnRange.count()) { row, col ->
this@extractColumns[row, columnRange.first + col]
}
public fun RealMatrix.extractColumn(columnIndex: Int): RealMatrix =
@ -141,14 +146,14 @@ public fun RealMatrix.max(): Double? = elements().map { (_, value) -> value }.ma
public fun RealMatrix.average(): Double = elements().map { (_, value) -> value }.average()
public inline fun RealMatrix.map(crossinline transform: (Double) -> Double): RealMatrix =
MatrixContext.real.produce(rowNum, colNum) { i, j ->
LinearSpace.real.buildMatrix(rowNum, colNum) { i, j ->
transform(get(i, j))
}
/**
* Inverse a square real matrix using LUP decomposition
*/
public fun RealMatrix.inverseWithLup(): RealMatrix = MatrixContext.real.inverseWithLup(this)
public fun RealMatrix.inverseWithLup(): RealMatrix = LinearSpace.real.inverseWithLup(this)
//extended operations

19
kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/RealVector.kt
View File

@ -5,6 +5,7 @@ import space.kscience.kmath.operations.Norm
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asBuffer
import space.kscience.kmath.structures.asIterable
import space.kscience.kmath.structures.indices
import kotlin.math.pow
import kotlin.math.sqrt
@ -30,7 +31,7 @@ public inline fun RealVector.mapIndexed(transform: (index: Int, value: Double) -
Buffer.real(size) { transform(it, get(it)) }
public operator fun RealVector.plus(other: RealVector): RealVector {
require(size == other.size){"Vector size $size expected but ${other.size} found"}
require(size == other.size) { "Vector size $size expected but ${other.size} found" }
return mapIndexed { index, value -> value + other[index] }
}
@ -41,7 +42,7 @@ public operator fun Number.plus(vector: RealVector): RealVector = vector + this
public operator fun RealVector.unaryMinus(): Buffer<Double> = map { -it }
public operator fun RealVector.minus(other: RealVector): RealVector {
require(size == other.size){"Vector size $size expected but ${other.size} found"}
require(size == other.size) { "Vector size $size expected but ${other.size} found" }
return mapIndexed { index, value -> value - other[index] }
}
@ -50,7 +51,7 @@ public operator fun RealVector.minus(number: Number): RealVector = map { it - nu
public operator fun Number.minus(vector: RealVector): RealVector = vector.map { toDouble() - it }
public operator fun RealVector.times(other: RealVector): RealVector {
require(size == other.size){"Vector size $size expected but ${other.size} found"}
require(size == other.size) { "Vector size $size expected but ${other.size} found" }
return mapIndexed { index, value -> value * other[index] }
}
@ -59,7 +60,7 @@ public operator fun RealVector.times(number: Number): RealVector = map { it * nu
public operator fun Number.times(vector: RealVector): RealVector = vector * this
public operator fun RealVector.div(other: RealVector): RealVector {
require(size == other.size){"Vector size $size expected but ${other.size} found"}
require(size == other.size) { "Vector size $size expected but ${other.size} found" }
return mapIndexed { index, value -> value / other[index] }
}
@ -88,3 +89,13 @@ public fun tan(vector: RealVector): RealVector = vector.map { kotlin.math.tan(it
public fun ln(vector: RealVector): RealVector = vector.map { kotlin.math.ln(it) }
public fun log10(vector: RealVector): RealVector = vector.map { kotlin.math.log10(it) }
// reductions methods
public fun RealVector.sum(): Double {
var res = 0.0
for (i in indices) {
res += get(i)
}
return res
}

27
kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/dot.kt
View File

@ -1,31 +1,12 @@
package space.kscience.kmath.real
import space.kscience.kmath.linear.BufferMatrix
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.RealBuffer
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.linear.Matrix
/**
* Optimized dot product for real matrices
*/
public infix fun BufferMatrix<Double>.dot(other: BufferMatrix<Double>): BufferMatrix<Double> {
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
val resultArray = DoubleArray(this.rowNum * other.colNum)
//convert to array to insure there is no memory indirection
fun Buffer<Double>.unsafeArray() = if (this is RealBuffer)
this.array
else
DoubleArray(size) { get(it) }
val a = this.buffer.unsafeArray()
val b = other.buffer.unsafeArray()
for (i in (0 until rowNum))
for (j in (0 until other.colNum))
for (k in (0 until colNum))
resultArray[i * other.colNum + j] += a[i * colNum + k] * b[k * other.colNum + j]
val buffer = RealBuffer(resultArray)
return BufferMatrix(rowNum, other.colNum, buffer)
public infix fun Matrix<Double>.dot(other: Matrix<Double>): Matrix<Double> = LinearSpace.real.run{
this@dot dot other
}

39
kmath-for-real/src/commonTest/kotlin/kaceince/kmath/real/RealMatrixTest.kt
View File

@ -1,7 +1,7 @@
package kaceince.kmath.real
import space.kscience.kmath.linear.Matrix
import space.kscience.kmath.linear.build
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.linear.matrix
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.real.*
import space.kscience.kmath.structures.contentEquals
@ -9,6 +9,7 @@ import kotlin.test.Test
import kotlin.test.assertEquals
import kotlin.test.assertTrue
@UnstableKMathAPI
internal class RealMatrixTest {
@Test
fun testSum() {
@ -30,11 +31,11 @@ internal class RealMatrixTest {
@Test
fun testRepeatStackVertical() {
val matrix1 = Matrix.build(2, 3)(
val matrix1 = realMatrix(2, 3)(
1.0, 0.0, 0.0,
0.0, 1.0, 2.0
)
val matrix2 = Matrix.build(6, 3)(
val matrix2 = realMatrix(6, 3)(
1.0, 0.0, 0.0,
0.0, 1.0, 2.0,
1.0, 0.0, 0.0,
@ -47,12 +48,12 @@ internal class RealMatrixTest {
@Test
fun testMatrixAndDouble() {
val matrix1 = Matrix.build(2, 3)(
val matrix1 = realMatrix(2, 3)(
1.0, 0.0, 3.0,
4.0, 6.0, 2.0
)
val matrix2 = (matrix1 * 2.5 + 1.0 - 2.0) / 2.0
val expectedResult = Matrix.build(2, 3)(
val expectedResult = LinearSpace.real.matrix(2, 3)(
0.75, -0.5, 3.25,
4.5, 7.0, 2.0
)
@ -61,13 +62,13 @@ internal class RealMatrixTest {
@Test
fun testDoubleAndMatrix() {
val matrix1 = Matrix.build(2, 3)(
val matrix1 = realMatrix(2, 3)(
1.0, 0.0, 3.0,
4.0, 6.0, 2.0
)
val matrix2 = 20.0 - (10.0 + (5.0 * matrix1))
//val matrix2 = 10.0 + (5.0 * matrix1)
val expectedResult = Matrix.build(2, 3)(
val expectedResult = realMatrix(2, 3)(
5.0, 10.0, -5.0,
-10.0, -20.0, 0.0
)
@ -76,15 +77,15 @@ internal class RealMatrixTest {
@Test
fun testSquareAndPower() {
val matrix1 = Matrix.build(2, 3)(
val matrix1 = realMatrix(2, 3)(
-1.0, 0.0, 3.0,
4.0, -6.0, -2.0
)
val matrix2 = Matrix.build(2, 3)(
val matrix2 = realMatrix(2, 3)(
1.0, 0.0, 9.0,
16.0, 36.0, 4.0
)
val matrix3 = Matrix.build(2, 3)(
val matrix3 = realMatrix(2, 3)(
-1.0, 0.0, 27.0,
64.0, -216.0, -8.0
)
@ -95,16 +96,16 @@ internal class RealMatrixTest {
@OptIn(UnstableKMathAPI::class)
@Test
fun testTwoMatrixOperations() {
val matrix1 = Matrix.build(2, 3)(
val matrix1 = realMatrix(2, 3)(
-1.0, 0.0, 3.0,
4.0, -6.0, 7.0
)
val matrix2 = Matrix.build(2, 3)(
val matrix2 = realMatrix(2, 3)(
1.0, 0.0, 3.0,
4.0, 6.0, -2.0
)
val result = matrix1 * matrix2 + matrix1 - matrix2
val expectedResult = Matrix.build(2, 3)(
val expectedResult = realMatrix(2, 3)(
-3.0, 0.0, 9.0,
16.0, -48.0, -5.0
)
@ -113,16 +114,16 @@ internal class RealMatrixTest {
@Test
fun testColumnOperations() {
val matrix1 = Matrix.build(2, 4)(
val matrix1 = realMatrix(2, 4)(
-1.0, 0.0, 3.0, 15.0,
4.0, -6.0, 7.0, -11.0
)
val matrix2 = Matrix.build(2, 5)(
val matrix2 = realMatrix(2, 5)(
-1.0, 0.0, 3.0, 15.0, -1.0,
4.0, -6.0, 7.0, -11.0, 4.0
)
val col1 = Matrix.build(2, 1)(0.0, -6.0)
val cols1to2 = Matrix.build(2, 2)(
val col1 = realMatrix(2, 1)(0.0, -6.0)
val cols1to2 = realMatrix(2, 2)(
0.0, 3.0,
-6.0, 7.0
)
@ -147,7 +148,7 @@ internal class RealMatrixTest {
@Test
fun testAllElementOperations() {
val matrix1 = Matrix.build(2, 4)(
val matrix1 = LinearSpace.real.matrix(2, 4)(
-1.0, 0.0, 3.0, 15.0,
4.0, -6.0, 7.0, -11.0
)

6
kmath-for-real/src/commonTest/kotlin/kaceince/kmath/real/RealVectorTest.kt
View File

@ -1,10 +1,8 @@
package kaceince.kmath.real
import space.kscience.kmath.linear.MatrixContext
import space.kscience.kmath.linear.LinearSpace
import space.kscience.kmath.linear.asMatrix
import space.kscience.kmath.linear.real
import space.kscience.kmath.linear.transpose
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.real.plus
import space.kscience.kmath.structures.Buffer
import kotlin.test.Test
@ -32,7 +30,7 @@ internal class RealVectorTest {
val vector2 = Buffer.real(5) { 5 - it.toDouble() }
val matrix1 = vector1.asMatrix()
val matrix2 = vector2.asMatrix().transpose()
val product = MatrixContext.real { matrix1 dot matrix2 }
val product = LinearSpace.real.run { matrix1 dot matrix2 }
assertEquals(5.0, product[1, 0])
assertEquals(6.0, product[2, 2])
}