diff --git a/.gitignore b/.gitignore index 79f3238e1..5ddd846a8 100644 --- a/.gitignore +++ b/.gitignore @@ -19,3 +19,4 @@ out/ !/.idea/copyright/ !/.idea/scopes/ +/kotlin-js-store/yarn.lock diff --git a/benchmarks/build.gradle.kts b/benchmarks/build.gradle.kts index 90ec5dfbe..f8d39b9c5 100644 --- a/benchmarks/build.gradle.kts +++ b/benchmarks/build.gradle.kts @@ -52,6 +52,8 @@ kotlin { implementation(project(":kmath-viktor")) implementation(project(":kmath-jafama")) implementation(project(":kmath-multik")) + implementation(projects.kmath.kmathTensorflow) + implementation("org.tensorflow:tensorflow-core-platform:0.4.0") implementation("org.nd4j:nd4j-native:1.0.0-M1") // uncomment if your system supports AVX2 // val os = System.getProperty("os.name") @@ -122,6 +124,11 @@ benchmark { include("JafamaBenchmark") } + configurations.register("tensorAlgebra") { + commonConfiguration() + include("TensorAlgebraBenchmark") + } + configurations.register("viktor") { commonConfiguration() include("ViktorBenchmark") diff --git a/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/DotBenchmark.kt b/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/DotBenchmark.kt index 53d7ee9b6..7d5ae310b 100644 --- a/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/DotBenchmark.kt +++ b/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/DotBenchmark.kt @@ -17,7 +17,9 @@ import space.kscience.kmath.multik.multikAlgebra import space.kscience.kmath.operations.DoubleField import space.kscience.kmath.operations.invoke import space.kscience.kmath.structures.Buffer +import space.kscience.kmath.tensorflow.produceWithTF import space.kscience.kmath.tensors.core.DoubleTensorAlgebra +import space.kscience.kmath.tensors.core.tensorAlgebra import kotlin.random.Random @State(Scope.Benchmark) @@ -34,9 +36,6 @@ internal class DotBenchmark { random.nextDouble() } - val tensor1 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12224) - val tensor2 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12225) - val cmMatrix1 = CMLinearSpace { matrix1.toCM() } val cmMatrix2 = CMLinearSpace { matrix2.toCM() } @@ -44,6 +43,16 @@ internal class DotBenchmark { val ejmlMatrix2 = EjmlLinearSpaceDDRM { matrix2.toEjml() } } + + @Benchmark + fun tfDot(blackhole: Blackhole) { + blackhole.consume( + DoubleField.produceWithTF { + matrix1 dot matrix1 + } + ) + } + @Benchmark fun cmDotWithConversion(blackhole: Blackhole) = CMLinearSpace { blackhole.consume(matrix1 dot matrix2) @@ -64,13 +73,13 @@ internal class DotBenchmark { blackhole.consume(matrix1 dot matrix2) } -// @Benchmark -// fun tensorDot(blackhole: Blackhole) = with(Double.tensorAlgebra) { -// blackhole.consume(matrix1 dot matrix2) -// } + @Benchmark + fun tensorDot(blackhole: Blackhole) = with(DoubleField.tensorAlgebra) { + blackhole.consume(matrix1 dot matrix2) + } @Benchmark - fun multikDot(blackhole: Blackhole) = with(Double.multikAlgebra) { + fun multikDot(blackhole: Blackhole) = with(DoubleField.multikAlgebra) { blackhole.consume(matrix1 dot matrix2) } @@ -86,6 +95,6 @@ internal class DotBenchmark { @Benchmark fun doubleTensorDot(blackhole: Blackhole) = DoubleTensorAlgebra.invoke { - blackhole.consume(tensor1 dot tensor2) + blackhole.consume(matrix1 dot matrix2) } } diff --git a/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/TensorAlgebraBenchmark.kt b/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/TensorAlgebraBenchmark.kt new file mode 100644 index 000000000..38e064e53 --- /dev/null +++ b/benchmarks/src/jvmMain/kotlin/space/kscience/kmath/benchmarks/TensorAlgebraBenchmark.kt @@ -0,0 +1,37 @@ +/* + * Copyright 2018-2021 KMath contributors. + * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file. + */ + +package space.kscience.kmath.benchmarks + +import kotlinx.benchmark.Benchmark +import kotlinx.benchmark.Blackhole +import kotlinx.benchmark.Scope +import kotlinx.benchmark.State +import space.kscience.kmath.linear.linearSpace +import space.kscience.kmath.linear.matrix +import space.kscience.kmath.linear.symmetric +import space.kscience.kmath.operations.DoubleField +import space.kscience.kmath.tensors.core.tensorAlgebra +import kotlin.random.Random + +@State(Scope.Benchmark) +internal class TensorAlgebraBenchmark { + companion object { + private val random = Random(12224) + private const val dim = 30 + + private val matrix = DoubleField.linearSpace.matrix(dim, dim).symmetric { _, _ -> random.nextDouble() } + } + + @Benchmark + fun tensorSymEigSvd(blackhole: Blackhole) = with(Double.tensorAlgebra) { + blackhole.consume(matrix.symEigSvd(1e-10)) + } + + @Benchmark + fun tensorSymEigJacobi(blackhole: Blackhole) = with(Double.tensorAlgebra) { + blackhole.consume(matrix.symEigJacobi(50, 1e-10)) + } +} \ No newline at end of file diff --git a/build.gradle.kts b/build.gradle.kts index a07bcd2c5..3b48c7328 100644 --- a/build.gradle.kts +++ b/build.gradle.kts @@ -10,7 +10,7 @@ allprojects { } group = "space.kscience" - version = "0.3.0-dev-18" + version = "0.3.0-dev-19" } subprojects { diff --git a/examples/src/main/kotlin/space/kscience/kmath/functions/interpolateSquare.kt b/examples/src/main/kotlin/space/kscience/kmath/functions/interpolateSquare.kt index 091242829..feefedece 100644 --- a/examples/src/main/kotlin/space/kscience/kmath/functions/interpolateSquare.kt +++ b/examples/src/main/kotlin/space/kscience/kmath/functions/interpolateSquare.kt @@ -5,8 +5,8 @@ package space.kscience.kmath.functions -import space.kscience.kmath.interpolation.SplineInterpolator import space.kscience.kmath.interpolation.interpolatePolynomials +import space.kscience.kmath.interpolation.splineInterpolator import space.kscience.kmath.operations.DoubleField import space.kscience.kmath.real.map import space.kscience.kmath.real.step @@ -28,7 +28,7 @@ fun main() { val xs = 0.0..100.0 step 0.5 val ys = xs.map(function) - val polynomial: PiecewisePolynomial = SplineInterpolator.double.interpolatePolynomials(xs, ys) + val polynomial: PiecewisePolynomial = DoubleField.splineInterpolator.interpolatePolynomials(xs, ys) val polyFunction = polynomial.asFunction(DoubleField, 0.0) diff --git a/kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/RealVector.kt b/kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/DoubleVector.kt similarity index 100% rename from kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/RealVector.kt rename to kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/DoubleVector.kt diff --git a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt index 15d548641..eb88d9ae0 100644 --- a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt +++ b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt @@ -28,6 +28,8 @@ public fun > PiecewisePolynomial.integrate(algebra: Field> PiecewisePolynomial.integrate( @@ -98,6 +100,7 @@ public object DoubleSplineIntegrator : UnivariateIntegrator { } } +@Suppress("unused") @UnstableKMathAPI public inline val DoubleField.splineIntegrator: UnivariateIntegrator get() = DoubleSplineIntegrator \ No newline at end of file diff --git a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/Interpolator.kt b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/Interpolator.kt index b13adefa5..2266092a3 100644 --- a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/Interpolator.kt +++ b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/Interpolator.kt @@ -9,6 +9,7 @@ package space.kscience.kmath.interpolation import space.kscience.kmath.data.XYColumnarData import space.kscience.kmath.functions.PiecewisePolynomial +import space.kscience.kmath.functions.asFunction import space.kscience.kmath.functions.value import space.kscience.kmath.misc.UnstableKMathAPI import space.kscience.kmath.operations.Ring @@ -59,3 +60,33 @@ public fun > PolynomialInterpolator.interpolatePolynomials( val pointSet = XYColumnarData.of(data.map { it.first }.asBuffer(), data.map { it.second }.asBuffer()) return interpolatePolynomials(pointSet) } + +public fun > PolynomialInterpolator.interpolate( + x: Buffer, + y: Buffer, +): (T) -> T? = interpolatePolynomials(x, y).asFunction(algebra) + +public fun > PolynomialInterpolator.interpolate( + data: Map, +): (T) -> T? = interpolatePolynomials(data).asFunction(algebra) + +public fun > PolynomialInterpolator.interpolate( + data: List>, +): (T) -> T? = interpolatePolynomials(data).asFunction(algebra) + + +public fun > PolynomialInterpolator.interpolate( + x: Buffer, + y: Buffer, + defaultValue: T, +): (T) -> T = interpolatePolynomials(x, y).asFunction(algebra, defaultValue) + +public fun > PolynomialInterpolator.interpolate( + data: Map, + defaultValue: T, +): (T) -> T = interpolatePolynomials(data).asFunction(algebra, defaultValue) + +public fun > PolynomialInterpolator.interpolate( + data: List>, + defaultValue: T, +): (T) -> T = interpolatePolynomials(data).asFunction(algebra, defaultValue) \ No newline at end of file diff --git a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/LinearInterpolator.kt b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/LinearInterpolator.kt index edd0e6b0a..34d7bcf41 100644 --- a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/LinearInterpolator.kt +++ b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/LinearInterpolator.kt @@ -22,6 +22,7 @@ internal fun > insureSorted(points: XYColumnarData<*, T, *>) { * Reference JVM implementation: https://github.com/apache/commons-math/blob/master/src/main/java/org/apache/commons/math4/analysis/interpolation/LinearInterpolator.java */ public class LinearInterpolator>(override val algebra: Field) : PolynomialInterpolator { + @OptIn(UnstableKMathAPI::class) override fun interpolatePolynomials(points: XYColumnarData): PiecewisePolynomial = algebra { require(points.size > 0) { "Point array should not be empty" } @@ -37,3 +38,6 @@ public class LinearInterpolator>(override val algebra: Field> Field.linearInterpolator: LinearInterpolator + get() = LinearInterpolator(this) diff --git a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/SplineInterpolator.kt b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/SplineInterpolator.kt index 39c33ee69..afcb33bd4 100644 --- a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/SplineInterpolator.kt +++ b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/interpolation/SplineInterpolator.kt @@ -63,8 +63,8 @@ public class SplineInterpolator>( //Shift coefficients to represent absolute polynomial instead of one with an offset val polynomial = Polynomial( a - b * x0 + c * x02 - d * x03, - b - 2*c*x0 + 3*d*x02, - c - 3*d*x0, + b - 2 * c * x0 + 3 * d * x02, + c - 3 * d * x0, d ) cOld = c @@ -72,8 +72,12 @@ public class SplineInterpolator>( } } } - - public companion object { - public val double: SplineInterpolator = SplineInterpolator(DoubleField, ::DoubleBuffer) - } } + + +public fun > Field.splineInterpolator( + bufferFactory: MutableBufferFactory, +): SplineInterpolator = SplineInterpolator(this, bufferFactory) + +public val DoubleField.splineInterpolator: SplineInterpolator + get() = SplineInterpolator(this, ::DoubleBuffer) \ No newline at end of file diff --git a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/LinearInterpolatorTest.kt b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/LinearInterpolatorTest.kt index bec678bae..1143036d4 100644 --- a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/LinearInterpolatorTest.kt +++ b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/LinearInterpolatorTest.kt @@ -5,8 +5,6 @@ package space.kscience.kmath.interpolation -import space.kscience.kmath.functions.PiecewisePolynomial -import space.kscience.kmath.functions.asFunction import space.kscience.kmath.operations.DoubleField import kotlin.test.Test import kotlin.test.assertEquals @@ -21,8 +19,8 @@ internal class LinearInterpolatorTest { 3.0 to 4.0 ) - val polynomial: PiecewisePolynomial = LinearInterpolator(DoubleField).interpolatePolynomials(data) - val function = polynomial.asFunction(DoubleField) + //val polynomial: PiecewisePolynomial = DoubleField.linearInterpolator.interpolatePolynomials(data) + val function = DoubleField.linearInterpolator.interpolate(data) assertEquals(null, function(-1.0)) assertEquals(0.5, function(0.5)) assertEquals(2.0, function(1.5)) diff --git a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/SplineInterpolatorTest.kt b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/SplineInterpolatorTest.kt index 3adaab2d1..4c7d816d4 100644 --- a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/SplineInterpolatorTest.kt +++ b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/interpolation/SplineInterpolatorTest.kt @@ -5,8 +5,6 @@ package space.kscience.kmath.interpolation -import space.kscience.kmath.functions.PiecewisePolynomial -import space.kscience.kmath.functions.asFunction import space.kscience.kmath.operations.DoubleField import kotlin.math.PI import kotlin.math.sin @@ -21,9 +19,10 @@ internal class SplineInterpolatorTest { x to sin(x) } - val polynomial: PiecewisePolynomial = SplineInterpolator.double.interpolatePolynomials(data) + //val polynomial: PiecewisePolynomial = DoubleField.splineInterpolator.interpolatePolynomials(data) + + val function = DoubleField.splineInterpolator.interpolate(data, Double.NaN) - val function = polynomial.asFunction(DoubleField, Double.NaN) assertEquals(Double.NaN, function(-1.0)) assertEquals(sin(0.5), function(0.5), 0.1) assertEquals(sin(1.5), function(1.5), 0.1) diff --git a/kmath-multik/src/test/kotlin/space/kscience/kmath/multik/MultikNDTest.kt b/kmath-multik/src/test/kotlin/space/kscience/kmath/multik/MultikNDTest.kt index 404541776..72c43d8e6 100644 --- a/kmath-multik/src/test/kotlin/space/kscience/kmath/multik/MultikNDTest.kt +++ b/kmath-multik/src/test/kotlin/space/kscience/kmath/multik/MultikNDTest.kt @@ -6,13 +6,38 @@ package space.kscience.kmath.multik import org.junit.jupiter.api.Test +import space.kscience.kmath.nd.StructureND import space.kscience.kmath.nd.one import space.kscience.kmath.operations.DoubleField import space.kscience.kmath.operations.invoke +import space.kscience.kmath.tensors.core.DoubleTensorAlgebra +import space.kscience.kmath.tensors.core.tensorAlgebra +import kotlin.test.assertTrue internal class MultikNDTest { @Test fun basicAlgebra(): Unit = DoubleField.multikAlgebra{ one(2,2) + 1.0 } + + @Test + fun dotResult(){ + val dim = 100 + + val tensor1 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12224) + val tensor2 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12225) + + val multikResult = with(DoubleField.multikAlgebra){ + tensor1 dot tensor2 + } + + val defaultResult = with(DoubleField.tensorAlgebra){ + tensor1 dot tensor2 + } + + assertTrue { + StructureND.contentEquals(multikResult, defaultResult) + } + + } } \ No newline at end of file diff --git a/kmath-tensorflow/src/main/kotlin/space/kscience/kmath/tensorflow/TensorFlowAlgebra.kt b/kmath-tensorflow/src/main/kotlin/space/kscience/kmath/tensorflow/TensorFlowAlgebra.kt index e9e75543d..b40739ee0 100644 --- a/kmath-tensorflow/src/main/kotlin/space/kscience/kmath/tensorflow/TensorFlowAlgebra.kt +++ b/kmath-tensorflow/src/main/kotlin/space/kscience/kmath/tensorflow/TensorFlowAlgebra.kt @@ -199,8 +199,9 @@ public abstract class TensorFlowAlgebra> internal c override fun StructureND.dot(other: StructureND): TensorFlowOutput = operate(other) { l, r -> ops.linalg.matMul( - if (l.asTensor().shape().numDimensions() == 1) ops.expandDims(l, ops.constant(0)) else l, - if (r.asTensor().shape().numDimensions() == 1) ops.expandDims(r, ops.constant(-1)) else r) + if (l.shape().numDimensions() == 1) ops.expandDims(l, ops.constant(0)) else l, + if (r.shape().numDimensions() == 1) ops.expandDims(r, ops.constant(-1)) else r + ) } override fun diagonalEmbedding( diff --git a/kmath-tensorflow/src/test/kotlin/space/kscience/kmath/tensorflow/DoubleTensorFlowOps.kt b/kmath-tensorflow/src/test/kotlin/space/kscience/kmath/tensorflow/DoubleTensorFlowOps.kt index 805ad7c66..308469eed 100644 --- a/kmath-tensorflow/src/test/kotlin/space/kscience/kmath/tensorflow/DoubleTensorFlowOps.kt +++ b/kmath-tensorflow/src/test/kotlin/space/kscience/kmath/tensorflow/DoubleTensorFlowOps.kt @@ -4,6 +4,8 @@ import org.junit.jupiter.api.Test import space.kscience.kmath.nd.get import space.kscience.kmath.nd.structureND import space.kscience.kmath.operations.DoubleField +import space.kscience.kmath.tensors.core.DoubleTensorAlgebra +import space.kscience.kmath.tensors.core.DoubleTensorAlgebra.Companion.sum import kotlin.test.assertEquals class DoubleTensorFlowOps { @@ -18,6 +20,18 @@ class DoubleTensorFlowOps { assertEquals(3.0, res[0, 0]) } + @Test + fun dot(){ + val dim = 1000 + + val tensor1 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12224) + val tensor2 = DoubleTensorAlgebra.randomNormal(shape = intArrayOf(dim, dim), 12225) + + DoubleField.produceWithTF { + tensor1 dot tensor2 + }.sum() + } + @Test fun extensionOps(){ val res = DoubleField.produceWithTF { diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt index a75e5a8e3..e9dc34748 100644 --- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt +++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt @@ -9,10 +9,7 @@ package space.kscience.kmath.tensors.core import space.kscience.kmath.misc.PerformancePitfall -import space.kscience.kmath.nd.MutableStructure2D -import space.kscience.kmath.nd.StructureND -import space.kscience.kmath.nd.as1D -import space.kscience.kmath.nd.as2D +import space.kscience.kmath.nd.* import space.kscience.kmath.operations.DoubleField import space.kscience.kmath.structures.MutableBuffer import space.kscience.kmath.structures.indices @@ -885,7 +882,7 @@ public open class DoubleTensorAlgebra : return Triple(uTensor.transpose(), sTensor, vTensor.transpose()) } - override fun StructureND.symEig(): Pair = symEig(epsilon = 1e-15) + override fun StructureND.symEig(): Pair = symEigJacobi(maxIteration = 50, epsilon = 1e-15) /** * Returns eigenvalues and eigenvectors of a real symmetric matrix input or a batch of real symmetric matrices, @@ -895,7 +892,7 @@ public open class DoubleTensorAlgebra : * and when the cosine approaches 1 in the SVD algorithm. * @return a pair `eigenvalues to eigenvectors`. */ - public fun StructureND.symEig(epsilon: Double): Pair { + public fun StructureND.symEigSvd(epsilon: Double): Pair { checkSymmetric(tensor, epsilon) fun MutableStructure2D.cleanSym(n: Int) { @@ -922,6 +919,151 @@ public open class DoubleTensorAlgebra : return eig to v } + public fun StructureND.symEigJacobi(maxIteration: Int, epsilon: Double): Pair { + checkSymmetric(tensor, epsilon) + + val size = this.dimension + val eigenvectors = zeros(this.shape) + val eigenvalues = zeros(this.shape.sliceArray(0 until size - 1)) + + var eigenvalueStart = 0 + var eigenvectorStart = 0 + for (matrix in tensor.matrixSequence()) { + val matrix2D = matrix.as2D() + val (d, v) = matrix2D.jacobiHelper(maxIteration, epsilon) + + for (i in 0 until matrix2D.rowNum) { + for (j in 0 until matrix2D.colNum) { + eigenvectors.mutableBuffer.array()[eigenvectorStart + i * matrix2D.rowNum + j] = v[i, j] + } + } + + for (i in 0 until matrix2D.rowNum) { + eigenvalues.mutableBuffer.array()[eigenvalueStart + i] = d[i] + } + + eigenvalueStart += this.shape.last() + eigenvectorStart += this.shape.last() * this.shape.last() + } + + return eigenvalues to eigenvectors + } + + private fun MutableStructure2D.jacobiHelper( + maxIteration: Int, + epsilon: Double + ): Pair, Structure2D> { + val n = this.shape[0] + val A_ = this.copy() + val V = eye(n) + val D = DoubleTensor(intArrayOf(n), (0 until this.rowNum).map { this[it, it] }.toDoubleArray()).as1D() + val B = DoubleTensor(intArrayOf(n), (0 until this.rowNum).map { this[it, it] }.toDoubleArray()).as1D() + val Z = zeros(intArrayOf(n)).as1D() + + // assume that buffered tensor is square matrix + operator fun BufferedTensor.get(i: Int, j: Int): Double { + return this.mutableBuffer.array()[bufferStart + i * this.shape[0] + j] + } + + operator fun BufferedTensor.set(i: Int, j: Int, value: Double) { + this.mutableBuffer.array()[bufferStart + i * this.shape[0] + j] = value + } + + fun maxOffDiagonal(matrix: BufferedTensor): Double { + var maxOffDiagonalElement = 0.0 + for (i in 0 until n - 1) { + for (j in i + 1 until n) { + maxOffDiagonalElement = max(maxOffDiagonalElement, abs(matrix[i, j])) + } + } + return maxOffDiagonalElement + } + + fun rotate(a: BufferedTensor, s: Double, tau: Double, i: Int, j: Int, k: Int, l: Int) { + val g = a[i, j] + val h = a[k, l] + a[i, j] = g - s * (h + g * tau) + a[k, l] = h + s * (g - h * tau) + } + + fun jacobiIteration( + a: BufferedTensor, + v: BufferedTensor, + d: MutableStructure1D, + z: MutableStructure1D, + ) { + for (ip in 0 until n - 1) { + for (iq in ip + 1 until n) { + val g = 100.0 * abs(a[ip, iq]) + + if (g <= epsilon * abs(d[ip]) && g <= epsilon * abs(d[iq])) { + a[ip, iq] = 0.0 + continue + } + + var h = d[iq] - d[ip] + val t = when { + g <= epsilon * abs(h) -> (a[ip, iq]) / h + else -> { + val theta = 0.5 * h / (a[ip, iq]) + val denominator = abs(theta) + sqrt(1.0 + theta * theta) + if (theta < 0.0) -1.0 / denominator else 1.0 / denominator + } + } + + val c = 1.0 / sqrt(1 + t * t) + val s = t * c + val tau = s / (1.0 + c) + h = t * a[ip, iq] + z[ip] -= h + z[iq] += h + d[ip] -= h + d[iq] += h + a[ip, iq] = 0.0 + + for (j in 0 until ip) { + rotate(a, s, tau, j, ip, j, iq) + } + for (j in (ip + 1) until iq) { + rotate(a, s, tau, ip, j, j, iq) + } + for (j in (iq + 1) until n) { + rotate(a, s, tau, ip, j, iq, j) + } + for (j in 0 until n) { + rotate(v, s, tau, j, ip, j, iq) + } + } + } + } + + fun updateDiagonal( + d: MutableStructure1D, + z: MutableStructure1D, + b: MutableStructure1D, + ) { + for (ip in 0 until d.size) { + b[ip] += z[ip] + d[ip] = b[ip] + z[ip] = 0.0 + } + } + + var sm = maxOffDiagonal(A_) + for (iteration in 0 until maxIteration) { + if (sm < epsilon) { + break + } + + jacobiIteration(A_, V, D, Z) + updateDiagonal(D, Z, B) + sm = maxOffDiagonal(A_) + } + + // TODO sort eigenvalues + return D to V.as2D() + } + /** * Computes the determinant of a square matrix input, or of each square matrix in a batched input * using LU factorization algorithm. @@ -997,5 +1139,6 @@ public open class DoubleTensorAlgebra : } public val Double.Companion.tensorAlgebra: DoubleTensorAlgebra.Companion get() = DoubleTensorAlgebra +public val DoubleField.tensorAlgebra: DoubleTensorAlgebra.Companion get() = DoubleTensorAlgebra diff --git a/kotlin-js-store/yarn.lock b/kotlin-js-store/yarn.lock deleted file mode 100644 index e21abe604..000000000 --- a/kotlin-js-store/yarn.lock +++ /dev/null @@ -1,2059 +0,0 @@ -# THIS IS AN AUTOGENERATED FILE. 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