forked from kscience/kmath
Merge branch 'dev' into gsl-experiment
This commit is contained in:
commit
f5b6847bf6
@ -2,19 +2,22 @@ package kscience.kmath.benchmarks
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import kotlinx.benchmark.Benchmark
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import kotlinx.benchmark.Benchmark
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import kscience.kmath.commons.linear.CMMatrixContext
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import kscience.kmath.commons.linear.CMMatrixContext
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import kscience.kmath.commons.linear.CMMatrixContext.dot
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import kscience.kmath.commons.linear.toCM
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import kscience.kmath.commons.linear.toCM
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import kscience.kmath.ejml.EjmlMatrixContext
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import kscience.kmath.ejml.EjmlMatrixContext
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import kscience.kmath.ejml.toEjml
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import kscience.kmath.ejml.toEjml
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import kscience.kmath.linear.BufferMatrixContext
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import kscience.kmath.linear.RealMatrixContext
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import kscience.kmath.linear.real
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import kscience.kmath.linear.real
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import kscience.kmath.operations.RealField
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import kscience.kmath.operations.invoke
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import kscience.kmath.operations.invoke
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import kscience.kmath.structures.Buffer
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import kscience.kmath.structures.Matrix
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import kscience.kmath.structures.Matrix
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import org.openjdk.jmh.annotations.Scope
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import org.openjdk.jmh.annotations.Scope
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import org.openjdk.jmh.annotations.State
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import org.openjdk.jmh.annotations.State
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import kotlin.random.Random
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import kotlin.random.Random
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@State(Scope.Benchmark)
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@State(Scope.Benchmark)
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class MultiplicationBenchmark {
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class DotBenchmark {
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companion object {
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companion object {
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val random = Random(12224)
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val random = Random(12224)
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val dim = 1000
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val dim = 1000
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@ -32,14 +35,14 @@ class MultiplicationBenchmark {
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@Benchmark
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@Benchmark
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fun commonsMathMultiplication() {
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fun commonsMathMultiplication() {
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CMMatrixContext.invoke {
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CMMatrixContext {
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cmMatrix1 dot cmMatrix2
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cmMatrix1 dot cmMatrix2
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}
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}
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}
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}
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@Benchmark
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@Benchmark
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fun ejmlMultiplication() {
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fun ejmlMultiplication() {
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EjmlMatrixContext.invoke {
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EjmlMatrixContext {
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ejmlMatrix1 dot ejmlMatrix2
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ejmlMatrix1 dot ejmlMatrix2
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}
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}
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}
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}
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@ -48,13 +51,22 @@ class MultiplicationBenchmark {
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fun ejmlMultiplicationwithConversion() {
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fun ejmlMultiplicationwithConversion() {
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val ejmlMatrix1 = matrix1.toEjml()
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val ejmlMatrix1 = matrix1.toEjml()
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val ejmlMatrix2 = matrix2.toEjml()
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val ejmlMatrix2 = matrix2.toEjml()
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EjmlMatrixContext.invoke {
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EjmlMatrixContext {
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ejmlMatrix1 dot ejmlMatrix2
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ejmlMatrix1 dot ejmlMatrix2
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}
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}
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}
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}
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@Benchmark
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@Benchmark
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fun bufferedMultiplication() {
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fun bufferedMultiplication() {
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BufferMatrixContext(RealField, Buffer.Companion::real).invoke{
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matrix1 dot matrix2
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matrix1 dot matrix2
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}
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}
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}
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@Benchmark
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fun realMultiplication(){
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RealMatrixContext {
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matrix1 dot matrix2
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}
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}
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}
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}
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@ -4,9 +4,8 @@ import kscience.kmath.dimensions.D2
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import kscience.kmath.dimensions.D3
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import kscience.kmath.dimensions.D3
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import kscience.kmath.dimensions.DMatrixContext
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import kscience.kmath.dimensions.DMatrixContext
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import kscience.kmath.dimensions.Dimension
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import kscience.kmath.dimensions.Dimension
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import kscience.kmath.operations.RealField
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private fun DMatrixContext<Double, RealField>.simple() {
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private fun DMatrixContext<Double>.simple() {
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val m1 = produce<D2, D3> { i, j -> (i + j).toDouble() }
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val m1 = produce<D2, D3> { i, j -> (i + j).toDouble() }
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val m2 = produce<D3, D2> { i, j -> (i + j).toDouble() }
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val m2 = produce<D3, D2> { i, j -> (i + j).toDouble() }
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@ -18,7 +17,7 @@ private object D5 : Dimension {
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override val dim: UInt = 5u
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override val dim: UInt = 5u
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}
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}
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private fun DMatrixContext<Double, RealField>.custom() {
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private fun DMatrixContext<Double>.custom() {
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val m1 = produce<D2, D5> { i, j -> (i + j).toDouble() }
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val m1 = produce<D2, D5> { i, j -> (i + j).toDouble() }
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val m2 = produce<D5, D2> { i, j -> (i - j).toDouble() }
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val m2 = produce<D5, D2> { i, j -> (i - j).toDouble() }
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val m3 = produce<D2, D2> { i, j -> (i - j).toDouble() }
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val m3 = produce<D2, D2> { i, j -> (i - j).toDouble() }
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@ -29,6 +29,7 @@ public class CMMatrix(public val origin: RealMatrix, features: Set<MatrixFeature
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}
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}
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}
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}
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//TODO move inside context
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public fun Matrix<Double>.toCM(): CMMatrix = if (this is CMMatrix) {
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public fun Matrix<Double>.toCM(): CMMatrix = if (this is CMMatrix) {
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this
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this
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} else {
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} else {
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@ -1,8 +1,10 @@
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package kscience.kmath.linear
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package kscience.kmath.linear
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import kscience.kmath.operations.RealField
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import kscience.kmath.operations.Ring
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import kscience.kmath.operations.Ring
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import kscience.kmath.structures.*
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import kscience.kmath.structures.Buffer
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import kscience.kmath.structures.BufferFactory
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import kscience.kmath.structures.NDStructure
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import kscience.kmath.structures.asSequence
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/**
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/**
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* Basic implementation of Matrix space based on [NDStructure]
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* Basic implementation of Matrix space based on [NDStructure]
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@ -21,24 +23,6 @@ public class BufferMatrixContext<T : Any, R : Ring<T>>(
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public companion object
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public companion object
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}
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}
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@Suppress("OVERRIDE_BY_INLINE")
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public object RealMatrixContext : GenericMatrixContext<Double, RealField, BufferMatrix<Double>> {
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public override val elementContext: RealField
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get() = RealField
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public override inline fun produce(
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rows: Int,
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columns: Int,
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initializer: (i: Int, j: Int) -> Double,
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): BufferMatrix<Double> {
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val buffer = RealBuffer(rows * columns) { offset -> initializer(offset / columns, offset % columns) }
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return BufferMatrix(rows, columns, buffer)
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}
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public override inline fun point(size: Int, initializer: (Int) -> Double): Point<Double> =
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RealBuffer(size, initializer)
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}
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public class BufferMatrix<T : Any>(
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public class BufferMatrix<T : Any>(
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public override val rowNum: Int,
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public override val rowNum: Int,
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public override val colNum: Int,
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public override val colNum: Int,
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@ -213,17 +213,8 @@ public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext
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return decomposition.solveWithLUP(bufferFactory, b)
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return decomposition.solveWithLUP(bufferFactory, b)
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}
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}
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public fun RealMatrixContext.solveWithLUP(a: Matrix<Double>, b: Matrix<Double>): FeaturedMatrix<Double> =
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solveWithLUP(a, b) { it < 1e-11 }
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public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, FeaturedMatrix<T>>.inverseWithLUP(
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public inline fun <reified T : Comparable<T>, F : Field<T>> GenericMatrixContext<T, F, FeaturedMatrix<T>>.inverseWithLUP(
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matrix: Matrix<T>,
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matrix: Matrix<T>,
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noinline bufferFactory: MutableBufferFactory<T> = MutableBuffer.Companion::auto,
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noinline bufferFactory: MutableBufferFactory<T> = MutableBuffer.Companion::auto,
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noinline checkSingular: (T) -> Boolean,
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noinline checkSingular: (T) -> Boolean,
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): FeaturedMatrix<T> = solveWithLUP(matrix, one(matrix.rowNum, matrix.colNum), bufferFactory, checkSingular)
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): FeaturedMatrix<T> = solveWithLUP(matrix, one(matrix.rowNum, matrix.colNum), bufferFactory, checkSingular)
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/**
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* Inverses a square matrix using LUP decomposition. Non square matrix will throw a error.
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*/
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public fun RealMatrixContext.inverseWithLUP(matrix: Matrix<Double>): FeaturedMatrix<Double> =
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solveWithLUP(matrix, one(matrix.rowNum, matrix.colNum), Buffer.Companion::real) { it < 1e-11 }
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@ -18,6 +18,11 @@ public interface MatrixContext<T : Any, out M : Matrix<T>> : SpaceOperations<Mat
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*/
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*/
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public fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> T): M
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public fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> T): M
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/**
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* Produce a point compatible with matrix space (and possibly optimized for it)
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*/
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public fun point(size: Int, initializer: (Int) -> T): Point<T> = Buffer.boxing(size, initializer)
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@Suppress("UNCHECKED_CAST")
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@Suppress("UNCHECKED_CAST")
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public override fun binaryOperationFunction(operation: String): (left: Matrix<T>, right: Matrix<T>) -> M =
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public override fun binaryOperationFunction(operation: String): (left: Matrix<T>, right: Matrix<T>) -> M =
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when (operation) {
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when (operation) {
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@ -62,10 +67,6 @@ public interface MatrixContext<T : Any, out M : Matrix<T>> : SpaceOperations<Mat
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public operator fun T.times(m: Matrix<T>): M = m * this
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public operator fun T.times(m: Matrix<T>): M = m * this
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public companion object {
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public companion object {
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/**
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* Non-boxing double matrix
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*/
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public val real: RealMatrixContext = RealMatrixContext
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/**
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/**
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* A structured matrix with custom buffer
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* A structured matrix with custom buffer
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@ -89,11 +90,6 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>, out M : Matrix<T>> :
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*/
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*/
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public val elementContext: R
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public val elementContext: R
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|
|
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/**
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|
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* Produce a point compatible with matrix space
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*/
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public fun point(size: Int, initializer: (Int) -> T): Point<T>
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|
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|
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public override infix fun Matrix<T>.dot(other: Matrix<T>): M {
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public override infix fun Matrix<T>.dot(other: Matrix<T>): M {
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//TODO add typed error
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//TODO add typed error
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require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
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require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
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@ -0,0 +1,84 @@
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|
package kscience.kmath.linear
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import kscience.kmath.operations.RealField
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import kscience.kmath.structures.Matrix
|
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|
import kscience.kmath.structures.MutableBuffer
|
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|
import kscience.kmath.structures.MutableBufferFactory
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|
import kscience.kmath.structures.RealBuffer
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|
|
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|
@Suppress("OVERRIDE_BY_INLINE")
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||||||
|
public object RealMatrixContext : MatrixContext<Double, BufferMatrix<Double>> {
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|
|
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|
public override inline fun produce(
|
||||||
|
rows: Int,
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||||||
|
columns: Int,
|
||||||
|
initializer: (i: Int, j: Int) -> Double,
|
||||||
|
): BufferMatrix<Double> {
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||||||
|
val buffer = RealBuffer(rows * columns) { offset -> initializer(offset / columns, offset % columns) }
|
||||||
|
return BufferMatrix(rows, columns, buffer)
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||||||
|
}
|
||||||
|
|
||||||
|
private fun Matrix<Double>.wrap(): BufferMatrix<Double> = if (this is BufferMatrix) this else {
|
||||||
|
produce(rowNum, colNum) { i, j -> get(i, j) }
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||||||
|
}
|
||||||
|
|
||||||
|
public fun one(rows: Int, columns: Int): FeaturedMatrix<Double> = VirtualMatrix(rows, columns, DiagonalFeature) { i, j ->
|
||||||
|
if (i == j) 1.0 else 0.0
|
||||||
|
}
|
||||||
|
|
||||||
|
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}, ${other.colNum})" }
|
||||||
|
return produce(rowNum, other.colNum) { i, j ->
|
||||||
|
var res = 0.0
|
||||||
|
for (l in 0 until colNum) {
|
||||||
|
res += get(i, l) * other.get(l, j)
|
||||||
|
}
|
||||||
|
res
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
public override infix fun Matrix<Double>.dot(vector: Point<Double>): Point<Double> {
|
||||||
|
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
|
||||||
|
return RealBuffer(rowNum) { i ->
|
||||||
|
var res = 0.0
|
||||||
|
for (j in 0 until colNum) {
|
||||||
|
res += get(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}" }
|
||||||
|
return produce(a.rowNum, a.colNum) { i, j ->
|
||||||
|
a[i, j] + b[i, j]
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
override fun Matrix<Double>.times(value: Double): BufferMatrix<Double> =
|
||||||
|
produce(rowNum, colNum) { i, j -> get(i, j) * value }
|
||||||
|
|
||||||
|
|
||||||
|
override fun multiply(a: Matrix<Double>, k: Number): BufferMatrix<Double> =
|
||||||
|
produce(a.rowNum, a.colNum) { i, j -> a.get(i, j) * k.toDouble() }
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Partially optimized real-valued matrix
|
||||||
|
*/
|
||||||
|
public val MatrixContext.Companion.real: RealMatrixContext get() = RealMatrixContext
|
||||||
|
|
||||||
|
public fun RealMatrixContext.solveWithLUP(a: Matrix<Double>, b: Matrix<Double>): FeaturedMatrix<Double> {
|
||||||
|
// Use existing decomposition if it is provided by matrix
|
||||||
|
val bufferFactory: MutableBufferFactory<Double> = MutableBuffer.Companion::real
|
||||||
|
val decomposition = a.getFeature() ?: lup(bufferFactory, RealField, 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>): FeaturedMatrix<Double> =
|
||||||
|
solveWithLUP(matrix, one(matrix.rowNum, matrix.colNum))
|
@ -1,11 +1,6 @@
|
|||||||
package kscience.kmath.dimensions
|
package kscience.kmath.dimensions
|
||||||
|
|
||||||
import kscience.kmath.linear.GenericMatrixContext
|
import kscience.kmath.linear.*
|
||||||
import kscience.kmath.linear.MatrixContext
|
|
||||||
import kscience.kmath.linear.Point
|
|
||||||
import kscience.kmath.linear.transpose
|
|
||||||
import kscience.kmath.operations.RealField
|
|
||||||
import kscience.kmath.operations.Ring
|
|
||||||
import kscience.kmath.operations.invoke
|
import kscience.kmath.operations.invoke
|
||||||
import kscience.kmath.structures.Matrix
|
import kscience.kmath.structures.Matrix
|
||||||
import kscience.kmath.structures.Structure2D
|
import kscience.kmath.structures.Structure2D
|
||||||
@ -42,7 +37,7 @@ public interface DMatrix<T, R : Dimension, C : Dimension> : Structure2D<T> {
|
|||||||
* An inline wrapper for a Matrix
|
* An inline wrapper for a Matrix
|
||||||
*/
|
*/
|
||||||
public inline class DMatrixWrapper<T, R : Dimension, C : Dimension>(
|
public inline class DMatrixWrapper<T, R : Dimension, C : Dimension>(
|
||||||
private val structure: Structure2D<T>
|
private val structure: Structure2D<T>,
|
||||||
) : DMatrix<T, R, C> {
|
) : DMatrix<T, R, C> {
|
||||||
override val shape: IntArray get() = structure.shape
|
override val shape: IntArray get() = structure.shape
|
||||||
override operator fun get(i: Int, j: Int): T = structure[i, j]
|
override operator fun get(i: Int, j: Int): T = structure[i, j]
|
||||||
@ -81,7 +76,7 @@ public inline class DPointWrapper<T, D : Dimension>(public val point: Point<T>)
|
|||||||
/**
|
/**
|
||||||
* Basic operations on dimension-safe matrices. Operates on [Matrix]
|
* Basic operations on dimension-safe matrices. Operates on [Matrix]
|
||||||
*/
|
*/
|
||||||
public inline class DMatrixContext<T : Any, Ri : Ring<T>>(public val context: GenericMatrixContext<T, Ri, Matrix<T>>) {
|
public inline class DMatrixContext<T : Any>(public val context: MatrixContext<T, Matrix<T>>) {
|
||||||
public inline fun <reified R : Dimension, reified C : Dimension> Matrix<T>.coerce(): DMatrix<T, R, C> {
|
public inline fun <reified R : Dimension, reified C : Dimension> Matrix<T>.coerce(): DMatrix<T, R, C> {
|
||||||
require(rowNum == Dimension.dim<R>().toInt()) {
|
require(rowNum == Dimension.dim<R>().toInt()) {
|
||||||
"Row number mismatch: expected ${Dimension.dim<R>()} but found $rowNum"
|
"Row number mismatch: expected ${Dimension.dim<R>()} but found $rowNum"
|
||||||
@ -115,7 +110,7 @@ public inline class DMatrixContext<T : Any, Ri : Ring<T>>(public val context: Ge
|
|||||||
}
|
}
|
||||||
|
|
||||||
public inline infix fun <reified R1 : Dimension, reified C1 : Dimension, reified C2 : Dimension> DMatrix<T, R1, C1>.dot(
|
public inline infix fun <reified R1 : Dimension, reified C1 : Dimension, reified C2 : Dimension> DMatrix<T, R1, C1>.dot(
|
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other: DMatrix<T, C1, C2>
|
other: DMatrix<T, C1, C2>,
|
||||||
): DMatrix<T, R1, C2> = context { this@dot dot other }.coerce()
|
): DMatrix<T, R1, C2> = context { this@dot dot other }.coerce()
|
||||||
|
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||||||
public inline infix fun <reified R : Dimension, reified C : Dimension> DMatrix<T, R, C>.dot(vector: DPoint<T, C>): DPoint<T, R> =
|
public inline infix fun <reified R : Dimension, reified C : Dimension> DMatrix<T, R, C>.dot(vector: DPoint<T, C>): DPoint<T, R> =
|
||||||
@ -139,18 +134,19 @@ public inline class DMatrixContext<T : Any, Ri : Ring<T>>(public val context: Ge
|
|||||||
public inline fun <reified R : Dimension, reified C : Dimension> DMatrix<T, C, R>.transpose(): DMatrix<T, R, C> =
|
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 { (this@transpose as Matrix<T>).transpose() }.coerce()
|
||||||
|
|
||||||
/**
|
|
||||||
* A square unit matrix
|
|
||||||
*/
|
|
||||||
public inline fun <reified D : Dimension> one(): DMatrix<T, D, D> = produce { i, j ->
|
|
||||||
if (i == j) context.elementContext.one else context.elementContext.zero
|
|
||||||
}
|
|
||||||
|
|
||||||
public inline fun <reified R : Dimension, reified C : Dimension> zero(): DMatrix<T, R, C> = produce { _, _ ->
|
|
||||||
context.elementContext.zero
|
|
||||||
}
|
|
||||||
|
|
||||||
public companion object {
|
public companion object {
|
||||||
public val real: DMatrixContext<Double, RealField> = DMatrixContext(MatrixContext.real)
|
public val real: DMatrixContext<Double> = DMatrixContext(MatrixContext.real)
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
/**
|
||||||
|
* A square unit matrix
|
||||||
|
*/
|
||||||
|
public inline fun <reified D : Dimension> DMatrixContext<Double>.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> = produce { _, _ ->
|
||||||
|
0.0
|
||||||
|
}
|
@ -3,6 +3,7 @@ package kscience.dimensions
|
|||||||
import kscience.kmath.dimensions.D2
|
import kscience.kmath.dimensions.D2
|
||||||
import kscience.kmath.dimensions.D3
|
import kscience.kmath.dimensions.D3
|
||||||
import kscience.kmath.dimensions.DMatrixContext
|
import kscience.kmath.dimensions.DMatrixContext
|
||||||
|
import kscience.kmath.dimensions.one
|
||||||
import kotlin.test.Test
|
import kotlin.test.Test
|
||||||
|
|
||||||
internal class DMatrixContextTest {
|
internal class DMatrixContextTest {
|
||||||
|
@ -1,13 +1,7 @@
|
|||||||
package kscience.kmath.real
|
package kscience.kmath.real
|
||||||
|
|
||||||
import kscience.kmath.linear.FeaturedMatrix
|
import kscience.kmath.linear.*
|
||||||
import kscience.kmath.linear.MatrixContext
|
|
||||||
import kscience.kmath.linear.RealMatrixContext.elementContext
|
|
||||||
import kscience.kmath.linear.VirtualMatrix
|
|
||||||
import kscience.kmath.linear.inverseWithLUP
|
|
||||||
import kscience.kmath.misc.UnstableKMathAPI
|
import kscience.kmath.misc.UnstableKMathAPI
|
||||||
import kscience.kmath.operations.invoke
|
|
||||||
import kscience.kmath.operations.sum
|
|
||||||
import kscience.kmath.structures.Buffer
|
import kscience.kmath.structures.Buffer
|
||||||
import kscience.kmath.structures.RealBuffer
|
import kscience.kmath.structures.RealBuffer
|
||||||
import kscience.kmath.structures.asIterable
|
import kscience.kmath.structures.asIterable
|
||||||
@ -122,8 +116,7 @@ public fun RealMatrix.extractColumn(columnIndex: Int): RealMatrix =
|
|||||||
extractColumns(columnIndex..columnIndex)
|
extractColumns(columnIndex..columnIndex)
|
||||||
|
|
||||||
public fun RealMatrix.sumByColumn(): RealBuffer = RealBuffer(colNum) { j ->
|
public fun RealMatrix.sumByColumn(): RealBuffer = RealBuffer(colNum) { j ->
|
||||||
val column = columns[j]
|
columns[j].asIterable().sum()
|
||||||
elementContext { sum(column.asIterable()) }
|
|
||||||
}
|
}
|
||||||
|
|
||||||
public fun RealMatrix.minByColumn(): RealBuffer = RealBuffer(colNum) { j ->
|
public fun RealMatrix.minByColumn(): RealBuffer = RealBuffer(colNum) { j ->
|
||||||
|
Loading…
Reference in New Issue
Block a user