Merge remote-tracking branch 'origin/dev' into nd4j

# Conflicts:
#	CHANGELOG.md
This commit is contained in:
Iaroslav Postovalov 2020-10-02 01:33:11 +07:00
commit 79aa31c406
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13 changed files with 463 additions and 11 deletions

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@ -8,6 +8,7 @@
- Automatic README generation for features (#139)
- Native support for `memory`, `core` and `dimensions`
- ND4J support module submitting `NDStructure` and `NDAlgebra` over `INDArray`.
- `kmath-ejml` to supply EJML SimpleMatrix wrapper (https://github.com/mipt-npm/kmath/pull/136).
### Changed
- Package changed from `scientifik` to `kscience.kmath`.

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@ -54,6 +54,8 @@ can be used for a wide variety of purposes from high performance calculations to
library in Kotlin code and maybe rewrite some parts to better suit the Kotlin programming paradigm, however there is no fixed roadmap for that. Feel free
to submit a feature request if you want something to be done first.
* **EJML wrapper** Provides EJML `SimpleMatrix` wrapper consistent with the core matrix structures.
## Planned features
* **Messaging** A mathematical notation to support multi-language and multi-node communication for mathematical tasks.

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@ -26,6 +26,7 @@ dependencies {
implementation(project(":kmath-prob"))
implementation(project(":kmath-viktor"))
implementation(project(":kmath-dimensions"))
implementation(project(":kmath-ejml"))
implementation("org.jetbrains.kotlinx:kotlinx-io:0.2.0-npm-dev-11")
implementation("org.jetbrains.kotlinx:kotlinx.benchmark.runtime:0.2.0-dev-20")
implementation("org.slf4j:slf4j-simple:1.7.30")

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@ -0,0 +1,50 @@
package kscience.kmath.linear
import kscience.kmath.commons.linear.CMMatrixContext
import kscience.kmath.commons.linear.inverse
import kscience.kmath.commons.linear.toCM
import kscience.kmath.ejml.EjmlMatrixContext
import kscience.kmath.ejml.inverse
import kscience.kmath.operations.RealField
import kscience.kmath.operations.invoke
import kscience.kmath.structures.Matrix
import kotlin.random.Random
import kotlin.system.measureTimeMillis
fun main() {
val random = Random(1224)
val dim = 100
//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 n = 5000 // iterations
MatrixContext.real {
repeat(50) { inverse(matrix) }
val inverseTime = measureTimeMillis { repeat(n) { inverse(matrix) } }
println("[kmath] Inversion of $n matrices $dim x $dim finished in $inverseTime millis")
}
//commons-math
val commonsTime = measureTimeMillis {
CMMatrixContext {
val cm = matrix.toCM() //avoid overhead on conversion
repeat(n) { inverse(cm) }
}
}
println("[commons-math] Inversion of $n matrices $dim x $dim finished in $commonsTime millis")
val ejmlTime = measureTimeMillis {
(EjmlMatrixContext(RealField)) {
val km = matrix.toEjml() //avoid overhead on conversion
repeat(n) { inverse(km) }
}
}
println("[ejml] Inversion of $n matrices $dim x $dim finished in $ejmlTime millis")
}

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@ -0,0 +1,38 @@
package kscience.kmath.linear
import kscience.kmath.commons.linear.CMMatrixContext
import kscience.kmath.commons.linear.toCM
import kscience.kmath.ejml.EjmlMatrixContext
import kscience.kmath.operations.RealField
import kscience.kmath.operations.invoke
import kscience.kmath.structures.Matrix
import kotlin.random.Random
import kotlin.system.measureTimeMillis
fun main() {
val random = Random(12224)
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 }
// //warmup
// matrix1 dot matrix2
CMMatrixContext {
val cmMatrix1 = matrix1.toCM()
val cmMatrix2 = matrix2.toCM()
val cmTime = measureTimeMillis { cmMatrix1 dot cmMatrix2 }
println("CM implementation time: $cmTime")
}
(EjmlMatrixContext(RealField)) {
val ejmlMatrix1 = matrix1.toEjml()
val ejmlMatrix2 = matrix2.toEjml()
val ejmlTime = measureTimeMillis { ejmlMatrix1 dot ejmlMatrix2 }
println("EJML implementation time: $ejmlTime")
}
val genericTime = measureTimeMillis { val res = matrix1 dot matrix2 }
println("Generic implementation time: $genericTime")
}

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@ -18,20 +18,52 @@ public interface MatrixContext<T : Any> : SpaceOperations<Matrix<T>> {
*/
public fun produce(rows: Int, columns: Int, initializer: (i: Int, j: Int) -> T): Matrix<T>
public override fun binaryOperation(operation: String, left: Matrix<T>, right: Matrix<T>): Matrix<T> = when (operation) {
"dot" -> left dot right
else -> super.binaryOperation(operation, left, right)
}
/**
* 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>
/**
* 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): Matrix<T>
/**
* Multiplies an element by a matrix of it.
*
* @receiver the multiplicand.
* @param value the multiplier.
* @receiver the product.
*/
public operator fun T.times(m: Matrix<T>): Matrix<T> = m * this
public companion object {
/**
* Non-boxing double matrix
*/
public val real: RealMatrixContext
get() = RealMatrixContext
public val real: RealMatrixContext = RealMatrixContext
/**
* A structured matrix with custom buffer
@ -60,7 +92,7 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>> : MatrixContext<T> {
*/
public fun point(size: Int, initializer: (Int) -> T): Point<T>
override infix fun Matrix<T>.dot(other: Matrix<T>): Matrix<T> {
public override infix fun Matrix<T>.dot(other: Matrix<T>): Matrix<T> {
//TODO add typed error
require(colNum == other.rowNum) { "Matrix dot operation dimension mismatch: ($rowNum, $colNum) x (${other.rowNum}, ${other.colNum})" }
@ -71,7 +103,7 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>> : MatrixContext<T> {
}
}
override infix fun Matrix<T>.dot(vector: Point<T>): Point<T> {
public override infix fun Matrix<T>.dot(vector: Point<T>): Point<T> {
//TODO add typed error
require(colNum == vector.size) { "Matrix dot vector operation dimension mismatch: ($rowNum, $colNum) x (${vector.size})" }
@ -81,10 +113,10 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>> : MatrixContext<T> {
}
}
override operator fun Matrix<T>.unaryMinus(): Matrix<T> =
public override operator fun Matrix<T>.unaryMinus(): Matrix<T> =
produce(rowNum, colNum) { i, j -> elementContext { -get(i, j) } }
override fun add(a: Matrix<T>, b: Matrix<T>): Matrix<T> {
public override fun add(a: Matrix<T>, b: Matrix<T>): Matrix<T> {
require(a.rowNum == b.rowNum && a.colNum == b.colNum) {
"Matrix operation dimension mismatch. [${a.rowNum},${a.colNum}] + [${b.rowNum},${b.colNum}]"
}
@ -92,7 +124,7 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>> : MatrixContext<T> {
return produce(a.rowNum, a.colNum) { i, j -> elementContext { a[i, j] + b[i, j] } }
}
override operator fun Matrix<T>.minus(b: Matrix<T>): Matrix<T> {
public override operator fun Matrix<T>.minus(b: Matrix<T>): Matrix<T> {
require(rowNum == b.rowNum && colNum == b.colNum) {
"Matrix operation dimension mismatch. [$rowNum,$colNum] - [${b.rowNum},${b.colNum}]"
}
@ -100,11 +132,11 @@ public interface GenericMatrixContext<T : Any, R : Ring<T>> : MatrixContext<T> {
return produce(rowNum, colNum) { i, j -> elementContext { get(i, j) + b[i, j] } }
}
override fun multiply(a: Matrix<T>, k: Number): Matrix<T> =
public override fun multiply(a: Matrix<T>, k: Number): Matrix<T> =
produce(a.rowNum, a.colNum) { i, j -> elementContext { a[i, j] * k } }
public operator fun Number.times(matrix: FeaturedMatrix<T>): Matrix<T> = matrix * this
override operator fun Matrix<T>.times(value: T): Matrix<T> =
public override operator fun Matrix<T>.times(value: T): Matrix<T> =
produce(rowNum, colNum) { i, j -> elementContext { get(i, j) * value } }
}

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@ -0,0 +1,8 @@
plugins {
id("ru.mipt.npm.jvm")
}
dependencies {
implementation("org.ejml:ejml-simple:0.39")
implementation(project(":kmath-core"))
}

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@ -0,0 +1,71 @@
package kscience.kmath.ejml
import org.ejml.dense.row.factory.DecompositionFactory_DDRM
import org.ejml.simple.SimpleMatrix
import kscience.kmath.linear.DeterminantFeature
import kscience.kmath.linear.FeaturedMatrix
import kscience.kmath.linear.LUPDecompositionFeature
import kscience.kmath.linear.MatrixFeature
import kscience.kmath.structures.NDStructure
/**
* Represents featured matrix over EJML [SimpleMatrix].
*
* @property origin the underlying [SimpleMatrix].
* @author Iaroslav Postovalov
*/
public class EjmlMatrix(public val origin: SimpleMatrix, features: Set<MatrixFeature>? = null) : FeaturedMatrix<Double> {
public override val rowNum: Int
get() = origin.numRows()
public override val colNum: Int
get() = origin.numCols()
public override val shape: IntArray
get() = intArrayOf(origin.numRows(), origin.numCols())
public override val features: Set<MatrixFeature> = setOf(
object : LUPDecompositionFeature<Double>, DeterminantFeature<Double> {
override val determinant: Double
get() = origin.determinant()
private val lup by lazy {
val ludecompositionF64 = DecompositionFactory_DDRM.lu(origin.numRows(), origin.numCols())
.also { it.decompose(origin.ddrm.copy()) }
Triple(
EjmlMatrix(SimpleMatrix(ludecompositionF64.getRowPivot(null))),
EjmlMatrix(SimpleMatrix(ludecompositionF64.getLower(null))),
EjmlMatrix(SimpleMatrix(ludecompositionF64.getUpper(null))),
)
}
override val l: FeaturedMatrix<Double>
get() = lup.second
override val u: FeaturedMatrix<Double>
get() = lup.third
override val p: FeaturedMatrix<Double>
get() = lup.first
}
) union features.orEmpty()
public override fun suggestFeature(vararg features: MatrixFeature): EjmlMatrix =
EjmlMatrix(origin, this.features + features)
public override operator fun get(i: Int, j: Int): Double = origin[i, j]
public override fun equals(other: Any?): Boolean {
if (other is EjmlMatrix) return origin.isIdentical(other.origin, 0.0)
return NDStructure.equals(this, other as? NDStructure<*> ?: return false)
}
public override fun hashCode(): Int {
var result = origin.hashCode()
result = 31 * result + features.hashCode()
return result
}
public override fun toString(): String = "EjmlMatrix(origin=$origin, features=$features)"
}

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@ -0,0 +1,86 @@
package kscience.kmath.ejml
import org.ejml.simple.SimpleMatrix
import kscience.kmath.linear.MatrixContext
import kscience.kmath.linear.Point
import kscience.kmath.operations.Space
import kscience.kmath.operations.invoke
import kscience.kmath.structures.Matrix
/**
* Represents context of basic operations operating with [EjmlMatrix].
*
* @author Iaroslav Postovalov
*/
public class EjmlMatrixContext(private val space: Space<Double>) : MatrixContext<Double> {
/**
* Converts this matrix to EJML one.
*/
public fun Matrix<Double>.toEjml(): EjmlMatrix =
if (this is EjmlMatrix) this 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 it.numRows()).forEach { row ->
(0 until it.numCols()).forEach { col -> it[row, col] = initializer(row, col) }
}
})
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 multiply(a: Matrix<Double>, k: Number): EjmlMatrix =
produce(a.rowNum, a.colNum) { i, j -> space { a[i, j] * k } }
public override operator fun Matrix<Double>.times(value: Double): EjmlMatrix = EjmlMatrix(toEjml().origin.scale(value))
public companion object
}
/**
* 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))
/**
* Returns the inverse of given matrix: b = a^(-1).
*
* @param a the matrix.
* @return the inverse of this matrix.
* @author Iaroslav Postovalov
*/
public fun EjmlMatrixContext.inverse(a: Matrix<Double>): EjmlMatrix = EjmlMatrix(a.toEjml().origin.invert())

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@ -0,0 +1,40 @@
package kscience.kmath.ejml
import org.ejml.simple.SimpleMatrix
import kscience.kmath.linear.Point
import kscience.kmath.structures.Buffer
/**
* Represents point over EJML [SimpleMatrix].
*
* @property origin the underlying [SimpleMatrix].
* @author Iaroslav Postovalov
*/
public class EjmlVector internal constructor(public val origin: SimpleMatrix) : Point<Double> {
public override val size: Int
get() = origin.numRows()
init {
require(origin.numCols() == 1) { "Only single column matrices are allowed" }
}
public override operator fun get(index: Int): Double = origin[index]
public override operator fun iterator(): Iterator<Double> = object : Iterator<Double> {
private var cursor: Int = 0
override fun next(): Double {
cursor += 1
return origin[cursor - 1]
}
override fun hasNext(): Boolean = cursor < origin.numCols() * origin.numRows()
}
public override fun contentEquals(other: Buffer<*>): Boolean {
if (other is EjmlVector) return origin.isIdentical(other.origin, 0.0)
return super.contentEquals(other)
}
public override fun toString(): String = "EjmlVector(origin=$origin)"
}

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@ -0,0 +1,75 @@
package kscience.kmath.ejml
import kscience.kmath.linear.DeterminantFeature
import kscience.kmath.linear.LUPDecompositionFeature
import kscience.kmath.linear.MatrixFeature
import kscience.kmath.linear.getFeature
import org.ejml.dense.row.factory.DecompositionFactory_DDRM
import org.ejml.simple.SimpleMatrix
import kotlin.random.Random
import kotlin.random.asJavaRandom
import kotlin.test.*
internal class EjmlMatrixTest {
private val random = Random(0)
private val randomMatrix: SimpleMatrix
get() {
val s = random.nextInt(2, 100)
return SimpleMatrix.random_DDRM(s, s, 0.0, 10.0, random.asJavaRandom())
}
@Test
fun rowNum() {
val m = randomMatrix
assertEquals(m.numRows(), EjmlMatrix(m).rowNum)
}
@Test
fun colNum() {
val m = randomMatrix
assertEquals(m.numCols(), EjmlMatrix(m).rowNum)
}
@Test
fun shape() {
val m = randomMatrix
val w = EjmlMatrix(m)
assertEquals(listOf(m.numRows(), m.numCols()), w.shape.toList())
}
@Test
fun features() {
val m = randomMatrix
val w = EjmlMatrix(m)
val det = w.getFeature<DeterminantFeature<Double>>() ?: fail()
assertEquals(m.determinant(), det.determinant)
val lup = w.getFeature<LUPDecompositionFeature<Double>>() ?: fail()
val ludecompositionF64 = DecompositionFactory_DDRM.lu(m.numRows(), m.numCols())
.also { it.decompose(m.ddrm.copy()) }
assertEquals(EjmlMatrix(SimpleMatrix(ludecompositionF64.getLower(null))), lup.l)
assertEquals(EjmlMatrix(SimpleMatrix(ludecompositionF64.getUpper(null))), lup.u)
assertEquals(EjmlMatrix(SimpleMatrix(ludecompositionF64.getRowPivot(null))), lup.p)
}
private object SomeFeature : MatrixFeature {}
@Test
fun suggestFeature() {
assertNotNull(EjmlMatrix(randomMatrix).suggestFeature(SomeFeature).getFeature<SomeFeature>())
}
@Test
fun get() {
val m = randomMatrix
assertEquals(m[0, 0], EjmlMatrix(m)[0, 0])
}
@Test
fun origin() {
val m = randomMatrix
assertSame(m, EjmlMatrix(m).origin)
}
}

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@ -0,0 +1,47 @@
package kscience.kmath.ejml
import org.ejml.simple.SimpleMatrix
import kotlin.random.Random
import kotlin.random.asJavaRandom
import kotlin.test.Test
import kotlin.test.assertEquals
import kotlin.test.assertSame
internal class EjmlVectorTest {
private val random = Random(0)
private val randomMatrix: SimpleMatrix
get() = SimpleMatrix.random_DDRM(random.nextInt(2, 100), 1, 0.0, 10.0, random.asJavaRandom())
@Test
fun size() {
val m = randomMatrix
val w = EjmlVector(m)
assertEquals(m.numRows(), w.size)
}
@Test
fun get() {
val m = randomMatrix
val w = EjmlVector(m)
assertEquals(m[0, 0], w[0])
}
@Test
fun iterator() {
val m = randomMatrix
val w = EjmlVector(m)
assertEquals(
m.iterator(true, 0, 0, m.numRows() - 1, 0).asSequence().toList(),
w.iterator().asSequence().toList()
)
}
@Test
fun origin() {
val m = randomMatrix
val w = EjmlVector(m)
assertSame(m, w.origin)
}
}

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@ -40,5 +40,6 @@ include(
":kmath-for-real",
":kmath-geometry",
":kmath-ast",
":examples"
":examples",
":kmath-ejml"
)