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DoubleBuffer algebra refactoring

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This commit is contained in:
Alexander Nozik 2021-10-02 18:54:45 +03:00
parent 85aefb5380
commit abae29bbed
25 changed files with 1203 additions and 161 deletions
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11
examples/src/main/kotlin/space/kscience/kmath/fit/chiSquared.kt
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@ -10,20 +10,21 @@ import kotlinx.html.h3
import space.kscience.kmath.commons.expressions.DSProcessor
import space.kscience.kmath.commons.optimization.CMOptimizer
import space.kscience.kmath.distributions.NormalDistribution
import space.kscience.kmath.expressions.binding
import space.kscience.kmath.expressions.chiSquaredExpression
import space.kscience.kmath.expressions.symbol
import space.kscience.kmath.optimization.*
import space.kscience.kmath.operations.asIterable
import space.kscience.kmath.operations.toList
import space.kscience.kmath.optimization.FunctionOptimizationTarget
import space.kscience.kmath.optimization.optimizeWith
import space.kscience.kmath.optimization.resultPoint
import space.kscience.kmath.optimization.resultValue
import space.kscience.kmath.real.DoubleVector
import space.kscience.kmath.real.map
import space.kscience.kmath.real.step
import space.kscience.kmath.stat.RandomGenerator
import space.kscience.kmath.structures.asIterable
import space.kscience.kmath.structures.toList
import space.kscience.plotly.*
import space.kscience.plotly.models.ScatterMode
import space.kscience.plotly.models.TraceValues
import kotlin.math.abs
import kotlin.math.pow
import kotlin.math.sqrt

4
examples/src/main/kotlin/space/kscience/kmath/fit/qowFit.kt
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@ -13,6 +13,8 @@ import space.kscience.kmath.distributions.NormalDistribution
import space.kscience.kmath.expressions.Symbol
import space.kscience.kmath.expressions.binding
import space.kscience.kmath.expressions.symbol
import space.kscience.kmath.operations.asIterable
import space.kscience.kmath.operations.toList
import space.kscience.kmath.optimization.QowOptimizer
import space.kscience.kmath.optimization.chiSquaredOrNull
import space.kscience.kmath.optimization.fitWith
@ -20,8 +22,6 @@ import space.kscience.kmath.optimization.resultPoint
import space.kscience.kmath.real.map
import space.kscience.kmath.real.step
import space.kscience.kmath.stat.RandomGenerator
import space.kscience.kmath.structures.asIterable
import space.kscience.kmath.structures.toList
import space.kscience.plotly.*
import space.kscience.plotly.models.ScatterMode
import kotlin.math.abs

2
examples/src/main/kotlin/space/kscience/kmath/functions/interpolateSquare.kt
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@ -8,8 +8,8 @@ package space.kscience.kmath.functions
import space.kscience.kmath.interpolation.SplineInterpolator
import space.kscience.kmath.interpolation.interpolatePolynomials
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.real.map
import space.kscience.kmath.real.step
import space.kscience.kmath.structures.map
import space.kscience.plotly.Plotly
import space.kscience.plotly.UnstablePlotlyAPI
import space.kscience.plotly.makeFile

7
kmath-commons/src/main/kotlin/space/kscience/kmath/commons/transform/Transformations.kt
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@ -10,10 +10,13 @@ import kotlinx.coroutines.flow.Flow
import kotlinx.coroutines.flow.map
import org.apache.commons.math3.transform.*
import space.kscience.kmath.complex.Complex
import space.kscience.kmath.operations.SuspendBufferTransform
import space.kscience.kmath.streaming.chunked
import space.kscience.kmath.streaming.spread
import space.kscience.kmath.structures.*
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.VirtualBuffer
import space.kscience.kmath.structures.asBuffer
/**

2
kmath-commons/src/test/kotlin/space/kscience/kmath/commons/optimization/OptimizeTest.kt
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@ -13,11 +13,11 @@ import space.kscience.kmath.expressions.Symbol.Companion.x
import space.kscience.kmath.expressions.Symbol.Companion.y
import space.kscience.kmath.expressions.chiSquaredExpression
import space.kscience.kmath.expressions.symbol
import space.kscience.kmath.operations.map
import space.kscience.kmath.optimization.*
import space.kscience.kmath.stat.RandomGenerator
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.asBuffer
import space.kscience.kmath.structures.map
import kotlin.math.pow
import kotlin.test.Test

2
kmath-core/src/commonMain/kotlin/space/kscience/kmath/expressions/specialExpressions.kt
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@ -6,8 +6,8 @@
package space.kscience.kmath.expressions
import space.kscience.kmath.operations.ExtendedField
import space.kscience.kmath.operations.asIterable
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asIterable
import space.kscience.kmath.structures.indices
import kotlin.jvm.JvmName

17
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/DoubleLinearSpace.kt
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@ -9,6 +9,7 @@ import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.nd.DoubleFieldND
import space.kscience.kmath.nd.as2D
import space.kscience.kmath.nd.asND
import space.kscience.kmath.operations.DoubleBufferOperations
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
@ -89,17 +90,21 @@ public object DoubleLinearSpace : LinearSpace<Double, DoubleField> {
asND().map { it * value }.as2D()
}
public override fun Point<Double>.plus(other: Point<Double>): DoubleBuffer = DoubleBuffer(size) {
get(it) + other[it]
public override fun Point<Double>.plus(other: Point<Double>): DoubleBuffer = DoubleBufferOperations.run {
this@plus + other
}
public override fun Point<Double>.minus(other: Point<Double>): DoubleBuffer = DoubleBuffer(size) {
get(it) - other[it]
public override fun Point<Double>.minus(other: Point<Double>): DoubleBuffer = DoubleBufferOperations.run {
this@minus - other
}
public override fun Point<Double>.times(value: Double): DoubleBuffer = DoubleBuffer(size) { i -> get(i) * value }
public override fun Point<Double>.times(value: Double): DoubleBuffer = DoubleBufferOperations.run {
scale(this@times, value)
}
public operator fun Point<Double>.div(value: Double): DoubleBuffer = DoubleBuffer(size) { i -> get(i) / value }
public operator fun Point<Double>.div(value: Double): DoubleBuffer = DoubleBufferOperations.run {
scale(this@div, 1.0 / value)
}
public override fun Double.times(v: Point<Double>): DoubleBuffer = v * this

2
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/Structure1D.kt
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@ -6,10 +6,10 @@
package space.kscience.kmath.nd
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.operations.asSequence
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.MutableBuffer
import space.kscience.kmath.structures.asMutableBuffer
import space.kscience.kmath.structures.asSequence
import kotlin.jvm.JvmInline
/**

130
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/DoubleBufferField.kt Normal file
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@ -0,0 +1,130 @@
/*
* 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 file.
*/
package space.kscience.kmath.operations
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
/**
* [ExtendedField] over [DoubleBuffer].
*
* @property size the size of buffers to operate on.
*/
public class DoubleBufferField(public val size: Int) : ExtendedField<Buffer<Double>>, DoubleBufferOperations() {
override val zero: Buffer<Double> by lazy { DoubleBuffer(size) { 0.0 } }
override val one: Buffer<Double> by lazy { DoubleBuffer(size) { 1.0 } }
override fun sinh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOperations>.sinh(arg)
override fun cosh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOperations>.cosh(arg)
override fun tanh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOperations>.tanh(arg)
override fun asinh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOperations>.asinh(arg)
override fun acosh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOperations>.acosh(arg)
override fun atanh(arg: Buffer<Double>): DoubleBuffer= super<DoubleBufferOperations>.atanh(arg)
// override fun number(value: Number): Buffer<Double> = DoubleBuffer(size) { value.toDouble() }
//
// override fun Buffer<Double>.unaryMinus(): Buffer<Double> = DoubleBufferOperations.run {
// -this@unaryMinus
// }
//
// override fun add(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
// require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
// return DoubleBufferOperations.add(a, b)
// }
//
//
// override fun multiply(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
// require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
// return DoubleBufferOperations.multiply(a, b)
// }
//
// override fun divide(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
// require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
// return DoubleBufferOperations.divide(a, b)
// }
//
// override fun sin(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.sin(arg)
// }
//
// override fun cos(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.cos(arg)
// }
//
// override fun tan(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.tan(arg)
// }
//
// override fun asin(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.asin(arg)
// }
//
// override fun acos(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.acos(arg)
// }
//
// override fun atan(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.atan(arg)
// }
//
// override fun sinh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.sinh(arg)
// }
//
// override fun cosh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.cosh(arg)
// }
//
// override fun tanh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.tanh(arg)
// }
//
// override fun asinh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.asinh(arg)
// }
//
// override fun acosh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.acosh(arg)
// }
//
// override fun atanh(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.atanh(arg)
// }
//
// override fun power(arg: Buffer<Double>, pow: Number): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.power(arg, pow)
// }
//
// override fun exp(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.exp(arg)
// }
//
// override fun ln(arg: Buffer<Double>): DoubleBuffer {
// require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
// return DoubleBufferOperations.ln(arg)
// }
}

148
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/DoubleBufferOperations.kt
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@ -8,13 +8,13 @@ package space.kscience.kmath.operations
import space.kscience.kmath.linear.Point
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.fold
import kotlin.math.*
/**
* [ExtendedFieldOperations] over [DoubleBuffer].
*/
public object DoubleBufferOperations : ExtendedFieldOperations<Buffer<Double>> {
public abstract class DoubleBufferOperations : ExtendedFieldOperations<Buffer<Double>>, Norm<Buffer<Double>, Double> {
override fun Buffer<Double>.unaryMinus(): DoubleBuffer = if (this is DoubleBuffer) {
DoubleBuffer(size) { -array[it] }
} else {
@ -32,6 +32,21 @@ public object DoubleBufferOperations : ExtendedFieldOperations<Buffer<Double>> {
DoubleBuffer(DoubleArray(a.size) { aArray[it] + bArray[it] })
} else DoubleBuffer(DoubleArray(a.size) { a[it] + b[it] })
}
override fun Buffer<Double>.plus(b: Buffer<Double>): DoubleBuffer = add(this, b)
override fun Buffer<Double>.minus(b: Buffer<Double>): DoubleBuffer {
require(b.size == this.size) {
"The size of the first buffer ${this.size} should be the same as for second one: ${b.size} "
}
return if (this is DoubleBuffer && b is DoubleBuffer) {
val aArray = this.array
val bArray = b.array
DoubleBuffer(DoubleArray(this.size) { aArray[it] - bArray[it] })
} else DoubleBuffer(DoubleArray(this.size) { this[it] - b[it] })
}
//
// override fun multiply(a: Buffer<Double>, k: Number): RealBuffer {
// val kValue = k.toDouble()
@ -159,128 +174,21 @@ public object DoubleBufferOperations : ExtendedFieldOperations<Buffer<Double>> {
override fun ln(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { ln(array[it]) })
} else
} else {
DoubleBuffer(DoubleArray(arg.size) { ln(arg[it]) })
}
override fun norm(arg: Buffer<Double>): Double = DoubleL2Norm.norm(arg)
override fun scale(a: Buffer<Double>, value: Double): DoubleBuffer = if (a is DoubleBuffer) {
val aArray = a.array
DoubleBuffer(DoubleArray(a.size) { aArray[it] * value })
} else DoubleBuffer(DoubleArray(a.size) { a[it] * value })
public companion object : DoubleBufferOperations()
}
public object DoubleL2Norm : Norm<Point<Double>, Double> {
override fun norm(arg: Point<Double>): Double = sqrt(arg.fold(0.0) { acc: Double, d: Double -> acc + d.pow(2) })
}
/**
* [ExtendedField] over [DoubleBuffer].
*
* @property size the size of buffers to operate on.
*/
@Deprecated("To be replaced by generic BufferAlgebra")
public class DoubleBufferField(public val size: Int) : ExtendedField<Buffer<Double>>, Norm<Buffer<Double>, Double> {
override val zero: Buffer<Double> by lazy { DoubleBuffer(size) { 0.0 } }
override val one: Buffer<Double> by lazy { DoubleBuffer(size) { 1.0 } }
override fun number(value: Number): Buffer<Double> = DoubleBuffer(size) { value.toDouble() }
override fun Buffer<Double>.unaryMinus(): Buffer<Double> = DoubleBufferOperations.run {
-this@unaryMinus
}
override fun add(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
return DoubleBufferOperations.add(a, b)
}
override fun scale(a: Buffer<Double>, value: Double): DoubleBuffer {
require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
return if (a is DoubleBuffer) {
val aArray = a.array
DoubleBuffer(DoubleArray(a.size) { aArray[it] * value })
} else DoubleBuffer(DoubleArray(a.size) { a[it] * value })
}
override fun multiply(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
return DoubleBufferOperations.multiply(a, b)
}
override fun divide(a: Buffer<Double>, b: Buffer<Double>): DoubleBuffer {
require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
return DoubleBufferOperations.divide(a, b)
}
override fun sin(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.sin(arg)
}
override fun cos(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.cos(arg)
}
override fun tan(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.tan(arg)
}
override fun asin(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.asin(arg)
}
override fun acos(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.acos(arg)
}
override fun atan(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.atan(arg)
}
override fun sinh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.sinh(arg)
}
override fun cosh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.cosh(arg)
}
override fun tanh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.tanh(arg)
}
override fun asinh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.asinh(arg)
}
override fun acosh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.acosh(arg)
}
override fun atanh(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.atanh(arg)
}
override fun power(arg: Buffer<Double>, pow: Number): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.power(arg, pow)
}
override fun exp(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.exp(arg)
}
override fun ln(arg: Buffer<Double>): DoubleBuffer {
require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
return DoubleBufferOperations.ln(arg)
}
override fun norm(arg: Buffer<Double>): Double = DoubleL2Norm.norm(arg)
}

3
kmath-core/src/commonMain/kotlin/space/kscience/kmath/structures/bufferOperation.kt → kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/bufferOperation.kt
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@ -3,9 +3,10 @@
* Use of this source code is governed by the Apache 2.0 license that can be found in the LICENSE file.
*/
package space.kscience.kmath.structures
package space.kscience.kmath.operations
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.structures.*
/**
* Typealias for buffer transformations.

5
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/numbers.kt
View File

@ -14,7 +14,8 @@ public interface ExtendedFieldOperations<T> :
FieldOperations<T>,
TrigonometricOperations<T>,
PowerOperations<T>,
ExponentialOperations<T> {
ExponentialOperations<T>,
ScaleOperations<T> {
override fun tan(arg: T): T = sin(arg) / cos(arg)
override fun tanh(arg: T): T = sinh(arg) / cosh(arg)
@ -41,7 +42,7 @@ public interface ExtendedFieldOperations<T> :
/**
* Advanced Number-like field that implements basic operations.
*/
public interface ExtendedField<T> : ExtendedFieldOperations<T>, Field<T>, NumericAlgebra<T>, ScaleOperations<T> {
public interface ExtendedField<T> : ExtendedFieldOperations<T>, Field<T>, NumericAlgebra<T>{
override fun sinh(arg: T): T = (exp(arg) - exp(-arg)) / 2.0
override fun cosh(arg: T): T = (exp(arg) + exp(-arg)) / 2.0
override fun tanh(arg: T): T = (exp(arg) - exp(-arg)) / (exp(-arg) + exp(arg))

4
kmath-core/src/commonMain/kotlin/space/kscience/kmath/structures/Buffer.kt
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@ -5,6 +5,7 @@
package space.kscience.kmath.structures
import space.kscience.kmath.operations.asSequence
import kotlin.jvm.JvmInline
import kotlin.reflect.KClass
@ -49,7 +50,8 @@ public interface Buffer<out T> {
public companion object {
public fun toString(buffer: Buffer<*>): String = buffer.asSequence().joinToString(prefix = "[", separator = ", ", postfix = "]")
public fun toString(buffer: Buffer<*>): String =
buffer.asSequence().joinToString(prefix = "[", separator = ", ", postfix = "]")
/**
* Check the element-by-element match of content of two buffers.

2
kmath-coroutines/src/jvmTest/kotlin/space/kscience/kmath/streaming/RingBufferTest.kt
View File

@ -7,7 +7,7 @@ package space.kscience.kmath.streaming
import kotlinx.coroutines.flow.*
import kotlinx.coroutines.runBlocking
import space.kscience.kmath.structures.asSequence
import space.kscience.kmath.operations.asSequence
import kotlin.test.Test
import kotlin.test.assertEquals

995
kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/_generated.kt Normal file
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@ -0,0 +1,995 @@
/*
* 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 file.
*/
/* This file is generated with buildSrc/src/main/kotlin/space/kscience/kmath/ejml/codegen/ejmlCodegen.kt */
package space.kscience.kmath.ejml
import org.ejml.data.*
import org.ejml.dense.row.CommonOps_DDRM
import org.ejml.dense.row.CommonOps_FDRM
import org.ejml.dense.row.factory.DecompositionFactory_DDRM
import org.ejml.dense.row.factory.DecompositionFactory_FDRM
import org.ejml.sparse.FillReducing
import org.ejml.sparse.csc.CommonOps_DSCC
import org.ejml.sparse.csc.CommonOps_FSCC
import org.ejml.sparse.csc.factory.DecompositionFactory_DSCC
import org.ejml.sparse.csc.factory.DecompositionFactory_FSCC
import org.ejml.sparse.csc.factory.LinearSolverFactory_DSCC
import org.ejml.sparse.csc.factory.LinearSolverFactory_FSCC
import space.kscience.kmath.linear.*
import space.kscience.kmath.linear.Matrix
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.StructureFeature
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.operations.FloatField
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.FloatBuffer
import kotlin.reflect.KClass
import kotlin.reflect.cast
/**
* [EjmlVector] specialization for [Double].
*/
public class EjmlDoubleVector<out M : DMatrix>(override val origin: M) : EjmlVector<Double, M>(origin) {
init {
require(origin.numRows == 1) { "The origin matrix must have only one row to form a vector" }
}
override operator fun get(index: Int): Double = origin[0, index]
}
/**
* [EjmlVector] specialization for [Float].
*/
public class EjmlFloatVector<out M : FMatrix>(override val origin: M) : EjmlVector<Float, M>(origin) {
init {
require(origin.numRows == 1) { "The origin matrix must have only one row to form a vector" }
}
override operator fun get(index: Int): Float = origin[0, index]
}
/**
* [EjmlMatrix] specialization for [Double].
*/
public class EjmlDoubleMatrix<out M : DMatrix>(override val origin: M) : EjmlMatrix<Double, M>(origin) {
override operator fun get(i: Int, j: Int): Double = origin[i, j]
}
/**
* [EjmlMatrix] specialization for [Float].
*/
public class EjmlFloatMatrix<out M : FMatrix>(override val origin: M) : EjmlMatrix<Float, M>(origin) {
override operator fun get(i: Int, j: Int): Float = origin[i, j]
}
/**
* [EjmlLinearSpace] implementation based on [CommonOps_DDRM], [DecompositionFactory_DDRM] operations and
* [DMatrixRMaj] matrices.
*/
public object EjmlLinearSpaceDDRM : EjmlLinearSpace<Double, DoubleField, DMatrixRMaj>() {
/**
* The [DoubleField] reference.
*/
override val elementAlgebra: DoubleField get() = DoubleField
@Suppress("UNCHECKED_CAST")
override fun Matrix<Double>.toEjml(): EjmlDoubleMatrix<DMatrixRMaj> = when {
this is EjmlDoubleMatrix<*> && origin is DMatrixRMaj -> this as EjmlDoubleMatrix<DMatrixRMaj>
else -> buildMatrix(rowNum, colNum) { i, j -> get(i, j) }
}
@Suppress("UNCHECKED_CAST")
override fun Point<Double>.toEjml(): EjmlDoubleVector<DMatrixRMaj> = when {
this is EjmlDoubleVector<*> && origin is DMatrixRMaj -> this as EjmlDoubleVector<DMatrixRMaj>
else -> EjmlDoubleVector(DMatrixRMaj(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = get(row) }
})
}
override fun buildMatrix(
rows: Int,
columns: Int,
initializer: DoubleField.(i: Int, j: Int) -> Double,
): EjmlDoubleMatrix<DMatrixRMaj> = DMatrixRMaj(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = elementAlgebra.initializer(row, col) }
}
}.wrapMatrix()
override fun buildVector(
size: Int,
initializer: DoubleField.(Int) -> Double,
): EjmlDoubleVector<DMatrixRMaj> = EjmlDoubleVector(DMatrixRMaj(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = elementAlgebra.initializer(row) }
})
private fun <T : DMatrix> T.wrapMatrix() = EjmlDoubleMatrix(this)
private fun <T : DMatrix> T.wrapVector() = EjmlDoubleVector(this)
override fun Matrix<Double>.unaryMinus(): Matrix<Double> = this * elementAlgebra { -one }
override fun Matrix<Double>.dot(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.mult(toEjml().origin, other.toEjml().origin, out)
return out.wrapMatrix()
}
override fun Matrix<Double>.dot(vector: Point<Double>): EjmlDoubleVector<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.mult(toEjml().origin, vector.toEjml().origin, out)
return out.wrapVector()
}
override operator fun Matrix<Double>.minus(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
)
return out.wrapMatrix()
}
override operator fun Matrix<Double>.times(value: Double): EjmlDoubleMatrix<DMatrixRMaj> {
val res = DMatrixRMaj(1, 1)
CommonOps_DDRM.scale(value, toEjml().origin, res)
return res.wrapMatrix()
}
override fun Point<Double>.unaryMinus(): EjmlDoubleVector<DMatrixRMaj> {
val res = DMatrixRMaj(1, 1)
CommonOps_DDRM.changeSign(toEjml().origin, res)
return res.wrapVector()
}
override fun Matrix<Double>.plus(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
)
return out.wrapMatrix()
}
override fun Point<Double>.plus(other: Point<Double>): EjmlDoubleVector<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
)
return out.wrapVector()
}
override fun Point<Double>.minus(other: Point<Double>): EjmlDoubleVector<DMatrixRMaj> {
val out = DMatrixRMaj(1, 1)
CommonOps_DDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
)
return out.wrapVector()
}
override fun Double.times(m: Matrix<Double>): EjmlDoubleMatrix<DMatrixRMaj> = m * this
override fun Point<Double>.times(value: Double): EjmlDoubleVector<DMatrixRMaj> {
val res = DMatrixRMaj(1, 1)
CommonOps_DDRM.scale(value, toEjml().origin, res)
return res.wrapVector()
}
override fun Double.times(v: Point<Double>): EjmlDoubleVector<DMatrixRMaj> = v * this
@UnstableKMathAPI
override fun <F : StructureFeature> computeFeature(structure: Matrix<Double>, type: KClass<out F>): F? {
structure.getFeature(type)?.let { return it }
val origin = structure.toEjml().origin
return when (type) {
InverseMatrixFeature::class -> object : InverseMatrixFeature<Double> {
override val inverse: Matrix<Double> by lazy {
val res = origin.copy()
CommonOps_DDRM.invert(res)
res.wrapMatrix()
}
}
DeterminantFeature::class -> object : DeterminantFeature<Double> {
override val determinant: Double by lazy { CommonOps_DDRM.det(origin) }
}
SingularValueDecompositionFeature::class -> object : SingularValueDecompositionFeature<Double> {
private val svd by lazy {
DecompositionFactory_DDRM.svd(origin.numRows, origin.numCols, true, true, false)
.apply { decompose(origin.copy()) }
}
override val u: Matrix<Double> by lazy { svd.getU(null, false).wrapMatrix() }
override val s: Matrix<Double> by lazy { svd.getW(null).wrapMatrix() }
override val v: Matrix<Double> by lazy { svd.getV(null, false).wrapMatrix() }
override val singularValues: Point<Double> by lazy { DoubleBuffer(svd.singularValues) }
}
QRDecompositionFeature::class -> object : QRDecompositionFeature<Double> {
private val qr by lazy {
DecompositionFactory_DDRM.qr().apply { decompose(origin.copy()) }
}
override val q: Matrix<Double> by lazy {
qr.getQ(null, false).wrapMatrix().withFeature(OrthogonalFeature)
}
override val r: Matrix<Double> by lazy { qr.getR(null, false).wrapMatrix().withFeature(UFeature) }
}
CholeskyDecompositionFeature::class -> object : CholeskyDecompositionFeature<Double> {
override val l: Matrix<Double> by lazy {
val cholesky =
DecompositionFactory_DDRM.chol(structure.rowNum, true).apply { decompose(origin.copy()) }
cholesky.getT(null).wrapMatrix().withFeature(LFeature)
}
}
LupDecompositionFeature::class -> object : LupDecompositionFeature<Double> {
private val lup by lazy {
DecompositionFactory_DDRM.lu(origin.numRows, origin.numCols).apply { decompose(origin.copy()) }
}
override val l: Matrix<Double> by lazy {
lup.getLower(null).wrapMatrix().withFeature(LFeature)
}
override val u: Matrix<Double> by lazy {
lup.getUpper(null).wrapMatrix().withFeature(UFeature)
}
override val p: Matrix<Double> by lazy { lup.getRowPivot(null).wrapMatrix() }
}
else -> null
}?.let(type::cast)
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Double>, b: Matrix<Double>): EjmlDoubleMatrix<DMatrixRMaj> {
val res = DMatrixRMaj(1, 1)
CommonOps_DDRM.solve(DMatrixRMaj(a.toEjml().origin), DMatrixRMaj(b.toEjml().origin), res)
return res.wrapMatrix()
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Double>, b: Point<Double>): EjmlDoubleVector<DMatrixRMaj> {
val res = DMatrixRMaj(1, 1)
CommonOps_DDRM.solve(DMatrixRMaj(a.toEjml().origin), DMatrixRMaj(b.toEjml().origin), res)
return EjmlDoubleVector(res)
}
}
/**
* [EjmlLinearSpace] implementation based on [CommonOps_FDRM], [DecompositionFactory_FDRM] operations and
* [FMatrixRMaj] matrices.
*/
public object EjmlLinearSpaceFDRM : EjmlLinearSpace<Float, FloatField, FMatrixRMaj>() {
/**
* The [FloatField] reference.
*/
override val elementAlgebra: FloatField get() = FloatField
@Suppress("UNCHECKED_CAST")
override fun Matrix<Float>.toEjml(): EjmlFloatMatrix<FMatrixRMaj> = when {
this is EjmlFloatMatrix<*> && origin is FMatrixRMaj -> this as EjmlFloatMatrix<FMatrixRMaj>
else -> buildMatrix(rowNum, colNum) { i, j -> get(i, j) }
}
@Suppress("UNCHECKED_CAST")
override fun Point<Float>.toEjml(): EjmlFloatVector<FMatrixRMaj> = when {
this is EjmlFloatVector<*> && origin is FMatrixRMaj -> this as EjmlFloatVector<FMatrixRMaj>
else -> EjmlFloatVector(FMatrixRMaj(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = get(row) }
})
}
override fun buildMatrix(
rows: Int,
columns: Int,
initializer: FloatField.(i: Int, j: Int) -> Float,
): EjmlFloatMatrix<FMatrixRMaj> = FMatrixRMaj(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = elementAlgebra.initializer(row, col) }
}
}.wrapMatrix()
override fun buildVector(
size: Int,
initializer: FloatField.(Int) -> Float,
): EjmlFloatVector<FMatrixRMaj> = EjmlFloatVector(FMatrixRMaj(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = elementAlgebra.initializer(row) }
})
private fun <T : FMatrix> T.wrapMatrix() = EjmlFloatMatrix(this)
private fun <T : FMatrix> T.wrapVector() = EjmlFloatVector(this)
override fun Matrix<Float>.unaryMinus(): Matrix<Float> = this * elementAlgebra { -one }
override fun Matrix<Float>.dot(other: Matrix<Float>): EjmlFloatMatrix<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.mult(toEjml().origin, other.toEjml().origin, out)
return out.wrapMatrix()
}
override fun Matrix<Float>.dot(vector: Point<Float>): EjmlFloatVector<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.mult(toEjml().origin, vector.toEjml().origin, out)
return out.wrapVector()
}
override operator fun Matrix<Float>.minus(other: Matrix<Float>): EjmlFloatMatrix<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
)
return out.wrapMatrix()
}
override operator fun Matrix<Float>.times(value: Float): EjmlFloatMatrix<FMatrixRMaj> {
val res = FMatrixRMaj(1, 1)
CommonOps_FDRM.scale(value, toEjml().origin, res)
return res.wrapMatrix()
}
override fun Point<Float>.unaryMinus(): EjmlFloatVector<FMatrixRMaj> {
val res = FMatrixRMaj(1, 1)
CommonOps_FDRM.changeSign(toEjml().origin, res)
return res.wrapVector()
}
override fun Matrix<Float>.plus(other: Matrix<Float>): EjmlFloatMatrix<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
)
return out.wrapMatrix()
}
override fun Point<Float>.plus(other: Point<Float>): EjmlFloatVector<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
)
return out.wrapVector()
}
override fun Point<Float>.minus(other: Point<Float>): EjmlFloatVector<FMatrixRMaj> {
val out = FMatrixRMaj(1, 1)
CommonOps_FDRM.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
)
return out.wrapVector()
}
override fun Float.times(m: Matrix<Float>): EjmlFloatMatrix<FMatrixRMaj> = m * this
override fun Point<Float>.times(value: Float): EjmlFloatVector<FMatrixRMaj> {
val res = FMatrixRMaj(1, 1)
CommonOps_FDRM.scale(value, toEjml().origin, res)
return res.wrapVector()
}
override fun Float.times(v: Point<Float>): EjmlFloatVector<FMatrixRMaj> = v * this
@UnstableKMathAPI
override fun <F : StructureFeature> computeFeature(structure: Matrix<Float>, type: KClass<out F>): F? {
structure.getFeature(type)?.let { return it }
val origin = structure.toEjml().origin
return when (type) {
InverseMatrixFeature::class -> object : InverseMatrixFeature<Float> {
override val inverse: Matrix<Float> by lazy {
val res = origin.copy()
CommonOps_FDRM.invert(res)
res.wrapMatrix()
}
}
DeterminantFeature::class -> object : DeterminantFeature<Float> {
override val determinant: Float by lazy { CommonOps_FDRM.det(origin) }
}
SingularValueDecompositionFeature::class -> object : SingularValueDecompositionFeature<Float> {
private val svd by lazy {
DecompositionFactory_FDRM.svd(origin.numRows, origin.numCols, true, true, false)
.apply { decompose(origin.copy()) }
}
override val u: Matrix<Float> by lazy { svd.getU(null, false).wrapMatrix() }
override val s: Matrix<Float> by lazy { svd.getW(null).wrapMatrix() }
override val v: Matrix<Float> by lazy { svd.getV(null, false).wrapMatrix() }
override val singularValues: Point<Float> by lazy { FloatBuffer(svd.singularValues) }
}
QRDecompositionFeature::class -> object : QRDecompositionFeature<Float> {
private val qr by lazy {
DecompositionFactory_FDRM.qr().apply { decompose(origin.copy()) }
}
override val q: Matrix<Float> by lazy {
qr.getQ(null, false).wrapMatrix().withFeature(OrthogonalFeature)
}
override val r: Matrix<Float> by lazy { qr.getR(null, false).wrapMatrix().withFeature(UFeature) }
}
CholeskyDecompositionFeature::class -> object : CholeskyDecompositionFeature<Float> {
override val l: Matrix<Float> by lazy {
val cholesky =
DecompositionFactory_FDRM.chol(structure.rowNum, true).apply { decompose(origin.copy()) }
cholesky.getT(null).wrapMatrix().withFeature(LFeature)
}
}
LupDecompositionFeature::class -> object : LupDecompositionFeature<Float> {
private val lup by lazy {
DecompositionFactory_FDRM.lu(origin.numRows, origin.numCols).apply { decompose(origin.copy()) }
}
override val l: Matrix<Float> by lazy {
lup.getLower(null).wrapMatrix().withFeature(LFeature)
}
override val u: Matrix<Float> by lazy {
lup.getUpper(null).wrapMatrix().withFeature(UFeature)
}
override val p: Matrix<Float> by lazy { lup.getRowPivot(null).wrapMatrix() }
}
else -> null
}?.let(type::cast)
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Float>, b: Matrix<Float>): EjmlFloatMatrix<FMatrixRMaj> {
val res = FMatrixRMaj(1, 1)
CommonOps_FDRM.solve(FMatrixRMaj(a.toEjml().origin), FMatrixRMaj(b.toEjml().origin), res)
return res.wrapMatrix()
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Float>, b: Point<Float>): EjmlFloatVector<FMatrixRMaj> {
val res = FMatrixRMaj(1, 1)
CommonOps_FDRM.solve(FMatrixRMaj(a.toEjml().origin), FMatrixRMaj(b.toEjml().origin), res)
return EjmlFloatVector(res)
}
}
/**
* [EjmlLinearSpace] implementation based on [CommonOps_DSCC], [DecompositionFactory_DSCC] operations and
* [DMatrixSparseCSC] matrices.
*/
public object EjmlLinearSpaceDSCC : EjmlLinearSpace<Double, DoubleField, DMatrixSparseCSC>() {
/**
* The [DoubleField] reference.
*/
override val elementAlgebra: DoubleField get() = DoubleField
@Suppress("UNCHECKED_CAST")
override fun Matrix<Double>.toEjml(): EjmlDoubleMatrix<DMatrixSparseCSC> = when {
this is EjmlDoubleMatrix<*> && origin is DMatrixSparseCSC -> this as EjmlDoubleMatrix<DMatrixSparseCSC>
else -> buildMatrix(rowNum, colNum) { i, j -> get(i, j) }
}
@Suppress("UNCHECKED_CAST")
override fun Point<Double>.toEjml(): EjmlDoubleVector<DMatrixSparseCSC> = when {
this is EjmlDoubleVector<*> && origin is DMatrixSparseCSC -> this as EjmlDoubleVector<DMatrixSparseCSC>
else -> EjmlDoubleVector(DMatrixSparseCSC(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = get(row) }
})
}
override fun buildMatrix(
rows: Int,
columns: Int,
initializer: DoubleField.(i: Int, j: Int) -> Double,
): EjmlDoubleMatrix<DMatrixSparseCSC> = DMatrixSparseCSC(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = elementAlgebra.initializer(row, col) }
}
}.wrapMatrix()
override fun buildVector(
size: Int,
initializer: DoubleField.(Int) -> Double,
): EjmlDoubleVector<DMatrixSparseCSC> = EjmlDoubleVector(DMatrixSparseCSC(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = elementAlgebra.initializer(row) }
})
private fun <T : DMatrix> T.wrapMatrix() = EjmlDoubleMatrix(this)
private fun <T : DMatrix> T.wrapVector() = EjmlDoubleVector(this)
override fun Matrix<Double>.unaryMinus(): Matrix<Double> = this * elementAlgebra { -one }
override fun Matrix<Double>.dot(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.mult(toEjml().origin, other.toEjml().origin, out)
return out.wrapMatrix()
}
override fun Matrix<Double>.dot(vector: Point<Double>): EjmlDoubleVector<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.mult(toEjml().origin, vector.toEjml().origin, out)
return out.wrapVector()
}
override operator fun Matrix<Double>.minus(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
null,
null,
)
return out.wrapMatrix()
}
override operator fun Matrix<Double>.times(value: Double): EjmlDoubleMatrix<DMatrixSparseCSC> {
val res = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.scale(value, toEjml().origin, res)
return res.wrapMatrix()
}
override fun Point<Double>.unaryMinus(): EjmlDoubleVector<DMatrixSparseCSC> {
val res = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.changeSign(toEjml().origin, res)
return res.wrapVector()
}
override fun Matrix<Double>.plus(other: Matrix<Double>): EjmlDoubleMatrix<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
null,
null,
)
return out.wrapMatrix()
}
override fun Point<Double>.plus(other: Point<Double>): EjmlDoubleVector<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
null,
null,
)
return out.wrapVector()
}
override fun Point<Double>.minus(other: Point<Double>): EjmlDoubleVector<DMatrixSparseCSC> {
val out = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
null,
null,
)
return out.wrapVector()
}
override fun Double.times(m: Matrix<Double>): EjmlDoubleMatrix<DMatrixSparseCSC> = m * this
override fun Point<Double>.times(value: Double): EjmlDoubleVector<DMatrixSparseCSC> {
val res = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.scale(value, toEjml().origin, res)
return res.wrapVector()
}
override fun Double.times(v: Point<Double>): EjmlDoubleVector<DMatrixSparseCSC> = v * this
@UnstableKMathAPI
override fun <F : StructureFeature> computeFeature(structure: Matrix<Double>, type: KClass<out F>): F? {
structure.getFeature(type)?.let { return it }
val origin = structure.toEjml().origin
return when (type) {
QRDecompositionFeature::class -> object : QRDecompositionFeature<Double> {
private val qr by lazy {
DecompositionFactory_DSCC.qr(FillReducing.NONE).apply { decompose(origin.copy()) }
}
override val q: Matrix<Double> by lazy {
qr.getQ(null, false).wrapMatrix().withFeature(OrthogonalFeature)
}
override val r: Matrix<Double> by lazy { qr.getR(null, false).wrapMatrix().withFeature(UFeature) }
}
CholeskyDecompositionFeature::class -> object : CholeskyDecompositionFeature<Double> {
override val l: Matrix<Double> by lazy {
val cholesky =
DecompositionFactory_DSCC.cholesky().apply { decompose(origin.copy()) }
(cholesky.getT(null) as DMatrix).wrapMatrix().withFeature(LFeature)
}
}
LUDecompositionFeature::class, DeterminantFeature::class, InverseMatrixFeature::class -> object :
LUDecompositionFeature<Double>, DeterminantFeature<Double>, InverseMatrixFeature<Double> {
private val lu by lazy {
DecompositionFactory_DSCC.lu(FillReducing.NONE).apply { decompose(origin.copy()) }
}
override val l: Matrix<Double> by lazy {
lu.getLower(null).wrapMatrix().withFeature(LFeature)
}
override val u: Matrix<Double> by lazy {
lu.getUpper(null).wrapMatrix().withFeature(UFeature)
}
override val inverse: Matrix<Double> by lazy {
var a = origin
val inverse = DMatrixRMaj(1, 1)
val solver = LinearSolverFactory_DSCC.lu(FillReducing.NONE)
if (solver.modifiesA()) a = a.copy()
val i = CommonOps_DDRM.identity(a.numRows)
solver.solve(i, inverse)
inverse.wrapMatrix()
}
override val determinant: Double by lazy { elementAlgebra.number(lu.computeDeterminant().real) }
}
else -> null
}?.let(type::cast)
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Double>, b: Matrix<Double>): EjmlDoubleMatrix<DMatrixSparseCSC> {
val res = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.solve(DMatrixSparseCSC(a.toEjml().origin), DMatrixSparseCSC(b.toEjml().origin), res)
return res.wrapMatrix()
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Double>, b: Point<Double>): EjmlDoubleVector<DMatrixSparseCSC> {
val res = DMatrixSparseCSC(1, 1)
CommonOps_DSCC.solve(DMatrixSparseCSC(a.toEjml().origin), DMatrixSparseCSC(b.toEjml().origin), res)
return EjmlDoubleVector(res)
}
}
/**
* [EjmlLinearSpace] implementation based on [CommonOps_FSCC], [DecompositionFactory_FSCC] operations and
* [FMatrixSparseCSC] matrices.
*/
public object EjmlLinearSpaceFSCC : EjmlLinearSpace<Float, FloatField, FMatrixSparseCSC>() {
/**
* The [FloatField] reference.
*/
override val elementAlgebra: FloatField get() = FloatField
@Suppress("UNCHECKED_CAST")
override fun Matrix<Float>.toEjml(): EjmlFloatMatrix<FMatrixSparseCSC> = when {
this is EjmlFloatMatrix<*> && origin is FMatrixSparseCSC -> this as EjmlFloatMatrix<FMatrixSparseCSC>
else -> buildMatrix(rowNum, colNum) { i, j -> get(i, j) }
}
@Suppress("UNCHECKED_CAST")
override fun Point<Float>.toEjml(): EjmlFloatVector<FMatrixSparseCSC> = when {
this is EjmlFloatVector<*> && origin is FMatrixSparseCSC -> this as EjmlFloatVector<FMatrixSparseCSC>
else -> EjmlFloatVector(FMatrixSparseCSC(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = get(row) }
})
}
override fun buildMatrix(
rows: Int,
columns: Int,
initializer: FloatField.(i: Int, j: Int) -> Float,
): EjmlFloatMatrix<FMatrixSparseCSC> = FMatrixSparseCSC(rows, columns).also {
(0 until rows).forEach { row ->
(0 until columns).forEach { col -> it[row, col] = elementAlgebra.initializer(row, col) }
}
}.wrapMatrix()
override fun buildVector(
size: Int,
initializer: FloatField.(Int) -> Float,
): EjmlFloatVector<FMatrixSparseCSC> = EjmlFloatVector(FMatrixSparseCSC(size, 1).also {
(0 until it.numRows).forEach { row -> it[row, 0] = elementAlgebra.initializer(row) }
})
private fun <T : FMatrix> T.wrapMatrix() = EjmlFloatMatrix(this)
private fun <T : FMatrix> T.wrapVector() = EjmlFloatVector(this)
override fun Matrix<Float>.unaryMinus(): Matrix<Float> = this * elementAlgebra { -one }
override fun Matrix<Float>.dot(other: Matrix<Float>): EjmlFloatMatrix<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.mult(toEjml().origin, other.toEjml().origin, out)
return out.wrapMatrix()
}
override fun Matrix<Float>.dot(vector: Point<Float>): EjmlFloatVector<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.mult(toEjml().origin, vector.toEjml().origin, out)
return out.wrapVector()
}
override operator fun Matrix<Float>.minus(other: Matrix<Float>): EjmlFloatMatrix<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
null,
null,
)
return out.wrapMatrix()
}
override operator fun Matrix<Float>.times(value: Float): EjmlFloatMatrix<FMatrixSparseCSC> {
val res = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.scale(value, toEjml().origin, res)
return res.wrapMatrix()
}
override fun Point<Float>.unaryMinus(): EjmlFloatVector<FMatrixSparseCSC> {
val res = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.changeSign(toEjml().origin, res)
return res.wrapVector()
}
override fun Matrix<Float>.plus(other: Matrix<Float>): EjmlFloatMatrix<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
null,
null,
)
return out.wrapMatrix()
}
override fun Point<Float>.plus(other: Point<Float>): EjmlFloatVector<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra.one,
other.toEjml().origin,
out,
null,
null,
)
return out.wrapVector()
}
override fun Point<Float>.minus(other: Point<Float>): EjmlFloatVector<FMatrixSparseCSC> {
val out = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.add(
elementAlgebra.one,
toEjml().origin,
elementAlgebra { -one },
other.toEjml().origin,
out,
null,
null,
)
return out.wrapVector()
}
override fun Float.times(m: Matrix<Float>): EjmlFloatMatrix<FMatrixSparseCSC> = m * this
override fun Point<Float>.times(value: Float): EjmlFloatVector<FMatrixSparseCSC> {
val res = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.scale(value, toEjml().origin, res)
return res.wrapVector()
}
override fun Float.times(v: Point<Float>): EjmlFloatVector<FMatrixSparseCSC> = v * this
@UnstableKMathAPI
override fun <F : StructureFeature> computeFeature(structure: Matrix<Float>, type: KClass<out F>): F? {
structure.getFeature(type)?.let { return it }
val origin = structure.toEjml().origin
return when (type) {
QRDecompositionFeature::class -> object : QRDecompositionFeature<Float> {
private val qr by lazy {
DecompositionFactory_FSCC.qr(FillReducing.NONE).apply { decompose(origin.copy()) }
}
override val q: Matrix<Float> by lazy {
qr.getQ(null, false).wrapMatrix().withFeature(OrthogonalFeature)
}
override val r: Matrix<Float> by lazy { qr.getR(null, false).wrapMatrix().withFeature(UFeature) }
}
CholeskyDecompositionFeature::class -> object : CholeskyDecompositionFeature<Float> {
override val l: Matrix<Float> by lazy {
val cholesky =
DecompositionFactory_FSCC.cholesky().apply { decompose(origin.copy()) }
(cholesky.getT(null) as FMatrix).wrapMatrix().withFeature(LFeature)
}
}
LUDecompositionFeature::class, DeterminantFeature::class, InverseMatrixFeature::class -> object :
LUDecompositionFeature<Float>, DeterminantFeature<Float>, InverseMatrixFeature<Float> {
private val lu by lazy {
DecompositionFactory_FSCC.lu(FillReducing.NONE).apply { decompose(origin.copy()) }
}
override val l: Matrix<Float> by lazy {
lu.getLower(null).wrapMatrix().withFeature(LFeature)
}
override val u: Matrix<Float> by lazy {
lu.getUpper(null).wrapMatrix().withFeature(UFeature)
}
override val inverse: Matrix<Float> by lazy {
var a = origin
val inverse = FMatrixRMaj(1, 1)
val solver = LinearSolverFactory_FSCC.lu(FillReducing.NONE)
if (solver.modifiesA()) a = a.copy()
val i = CommonOps_FDRM.identity(a.numRows)
solver.solve(i, inverse)
inverse.wrapMatrix()
}
override val determinant: Float by lazy { elementAlgebra.number(lu.computeDeterminant().real) }
}
else -> null
}?.let(type::cast)
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p matrix.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Float>, b: Matrix<Float>): EjmlFloatMatrix<FMatrixSparseCSC> {
val res = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.solve(FMatrixSparseCSC(a.toEjml().origin), FMatrixSparseCSC(b.toEjml().origin), res)
return res.wrapMatrix()
}
/**
* Solves for *x* in the following equation: *x = [a] <sup>-1</sup> &middot; [b]*.
*
* @param a the base matrix.
* @param b n by p vector.
* @return the solution for *x* that is n by p.
*/
public fun solve(a: Matrix<Float>, b: Point<Float>): EjmlFloatVector<FMatrixSparseCSC> {
val res = FMatrixSparseCSC(1, 1)
CommonOps_FSCC.solve(FMatrixSparseCSC(a.toEjml().origin), FMatrixSparseCSC(b.toEjml().origin), res)
return EjmlFloatVector(res)
}
}

2
kmath-for-real/src/commonMain/kotlin/space/kscience/kmath/real/RealMatrix.kt
View File

@ -13,9 +13,9 @@ import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.operations.algebra
import space.kscience.kmath.operations.asIterable
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.asIterable
import kotlin.math.pow
/*

2
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/GaussIntegratorRuleFactory.kt
View File

@ -5,10 +5,10 @@
package space.kscience.kmath.integration
import space.kscience.kmath.operations.map
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.asBuffer
import space.kscience.kmath.structures.map
import kotlin.jvm.Synchronized
import kotlin.math.ulp
import kotlin.native.concurrent.ThreadLocal

6
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt
View File

@ -12,14 +12,10 @@ import space.kscience.kmath.interpolation.SplineInterpolator
import space.kscience.kmath.interpolation.interpolatePolynomials
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.operations.Field
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.operations.sum
import space.kscience.kmath.operations.*
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.MutableBufferFactory
import space.kscience.kmath.structures.map
/**
* Compute analytical indefinite integral of this [PiecewisePolynomial], keeping all intervals intact

5
kmath-geometry/src/commonTest/kotlin/space/kscience/kmath/geometry/Vector2DTest.kt
View File

@ -1,9 +1,8 @@
package space.kscience.kmath.geometry
import space.kscience.kmath.structures.asSequence
import space.kscience.kmath.structures.toList
import kotlin.test.assertEquals
import space.kscience.kmath.operations.toList
import kotlin.test.Test
import kotlin.test.assertEquals
internal class Vector2DTest {
private val vector = Vector2D(1.0, -7.999)

2
kmath-geometry/src/commonTest/kotlin/space/kscience/kmath/geometry/Vector3DTest.kt
View File

@ -1,6 +1,6 @@
package space.kscience.kmath.geometry
import space.kscience.kmath.structures.toList
import space.kscience.kmath.operations.toList
import kotlin.test.Test
import kotlin.test.assertEquals

2
kmath-histograms/src/jvmMain/kotlin/space/kscience/kmath/histogram/UnivariateHistogram.kt
View File

@ -7,8 +7,8 @@ package space.kscience.kmath.histogram
import space.kscience.kmath.domains.UnivariateDomain
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.asSequence
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asSequence
@UnstableKMathAPI

2
kmath-jupyter/src/main/kotlin/space/kscience/kmath/jupyter/KMathJupyter.kt
View File

@ -21,9 +21,9 @@ import space.kscience.kmath.expressions.MST
import space.kscience.kmath.expressions.MstRing
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.nd.Structure2D
import space.kscience.kmath.operations.asSequence
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asSequence
/**
* A function for conversion of number to MST for pretty print

2
kmath-stat/src/commonMain/kotlin/space/kscience/kmath/stat/Median.kt
View File

@ -5,8 +5,8 @@
package space.kscience.kmath.stat
import space.kscience.kmath.operations.asSequence
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.asSequence
/**
* Non-composable median

2
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt
View File

@ -9,9 +9,9 @@ import space.kscience.kmath.nd.MutableStructure1D
import space.kscience.kmath.nd.MutableStructure2D
import space.kscience.kmath.nd.as1D
import space.kscience.kmath.nd.as2D
import space.kscience.kmath.operations.asSequence
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.VirtualBuffer
import space.kscience.kmath.structures.asSequence
import space.kscience.kmath.tensors.core.BufferedTensor
import space.kscience.kmath.tensors.core.DoubleTensor
import space.kscience.kmath.tensors.core.DoubleTensorAlgebra

1
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/utils.kt
View File

@ -6,6 +6,7 @@
package space.kscience.kmath.tensors.core.internal
import space.kscience.kmath.nd.as1D
import space.kscience.kmath.operations.toMutableList
import space.kscience.kmath.samplers.GaussianSampler
import space.kscience.kmath.stat.RandomGenerator
import space.kscience.kmath.structures.*