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v0.3.0-dev-18 #459

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altavir merged 64 commits from dev into master 2022-02-13 17:50:34 +03:00
Conversation 0 Commits 64 Files Changed 409 +296 -181
22 changed files with 296 additions and 181 deletions
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1
CHANGELOG.md
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@ -17,6 +17,7 @@
- `BigInt` operation performance improvement and fixes by @zhelenskiy (#328)
- Integration between `MST` and Symja `IExpr`
- Complex power
- Separate methods for UInt, Int and Number powers. NaN safety.
### Changed
- Exponential operations merged with hyperbolic functions

11
kmath-complex/src/commonMain/kotlin/space/kscience/kmath/complex/ComplexFieldND.kt
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@ -18,7 +18,7 @@ import kotlin.contracts.contract
*/
@OptIn(UnstableKMathAPI::class)
public sealed class ComplexFieldOpsND : BufferedFieldOpsND<Complex, ComplexField>(ComplexField.bufferAlgebra),
ScaleOperations<StructureND<Complex>>, ExtendedFieldOps<StructureND<Complex>> {
ScaleOperations<StructureND<Complex>>, ExtendedFieldOps<StructureND<Complex>>, PowerOperations<StructureND<Complex>> {
override fun StructureND<Complex>.toBufferND(): BufferND<Complex> = when (this) {
is BufferND -> this
@ -33,9 +33,6 @@ public sealed class ComplexFieldOpsND : BufferedFieldOpsND<Complex, ComplexField
override fun scale(a: StructureND<Complex>, value: Double): BufferND<Complex> =
mapInline(a.toBufferND()) { it * value }
override fun power(arg: StructureND<Complex>, pow: Number): BufferND<Complex> =
mapInline(arg.toBufferND()) { power(it, pow) }
override fun exp(arg: StructureND<Complex>): BufferND<Complex> = mapInline(arg.toBufferND()) { exp(it) }
override fun ln(arg: StructureND<Complex>): BufferND<Complex> = mapInline(arg.toBufferND()) { ln(it) }
@ -53,6 +50,9 @@ public sealed class ComplexFieldOpsND : BufferedFieldOpsND<Complex, ComplexField
override fun acosh(arg: StructureND<Complex>): BufferND<Complex> = mapInline(arg.toBufferND()) { acosh(it) }
override fun atanh(arg: StructureND<Complex>): BufferND<Complex> = mapInline(arg.toBufferND()) { atanh(it) }
override fun power(arg: StructureND<Complex>, pow: Number): StructureND<Complex> =
mapInline(arg.toBufferND()) { power(it,pow) }
public companion object : ComplexFieldOpsND()
}
@ -63,7 +63,8 @@ public val ComplexField.bufferAlgebra: BufferFieldOps<Complex, ComplexField>
@OptIn(UnstableKMathAPI::class)
public class ComplexFieldND(override val shape: Shape) :
ComplexFieldOpsND(), FieldND<Complex, ComplexField>, NumbersAddOps<StructureND<Complex>> {
ComplexFieldOpsND(), FieldND<Complex, ComplexField>,
NumbersAddOps<StructureND<Complex>> {
override fun number(value: Number): BufferND<Complex> {
val d = value.toDouble() // minimize conversions

6
kmath-core/src/commonMain/kotlin/space/kscience/kmath/expressions/SimpleAutoDiff.kt
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@ -252,7 +252,7 @@ public class SimpleAutoDiffExpression<T : Any, F : Field<T>>(
* Generate [AutoDiffProcessor] for [SimpleAutoDiffExpression]
*/
public fun <T : Any, F : Field<T>> simpleAutoDiff(
field: F
field: F,
): AutoDiffProcessor<T, AutoDiffValue<T>, SimpleAutoDiffField<T, F>> =
AutoDiffProcessor { function ->
SimpleAutoDiffExpression(field, function)
@ -272,8 +272,8 @@ public fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.sqrt(x: Aut
public fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.pow(
x: AutoDiffValue<T>,
y: Double,
): AutoDiffValue<T> = derive(const { power(x.value, y) }) { z ->
x.d += z.d * y * power(x.value, y - 1)
): AutoDiffValue<T> = derive(const { x.value.pow(y)}) { z ->
x.d += z.d * y * x.value.pow(y - 1)
}
public fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.pow(

40
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/BufferAlgebraND.kt
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@ -53,21 +53,28 @@ public interface BufferAlgebraND<T, out A : Algebra<T>> : AlgebraND<T, A> {
public inline fun <T, A : Algebra<T>> BufferAlgebraND<T, A>.mapInline(
arg: BufferND<T>,
crossinline transform: A.(T) -> T
crossinline transform: A.(T) -> T,
): BufferND<T> {
val indexes = arg.indices
return BufferND(indexes, bufferAlgebra.mapInline(arg.buffer, transform))
val buffer = arg.buffer
return BufferND(
indexes,
bufferAlgebra.run {
bufferFactory(buffer.size) { elementAlgebra.transform(buffer[it]) }
}
)
}
internal inline fun <T, A : Algebra<T>> BufferAlgebraND<T, A>.mapIndexedInline(
arg: BufferND<T>,
crossinline transform: A.(index: IntArray, arg: T) -> T
crossinline transform: A.(index: IntArray, arg: T) -> T,
): BufferND<T> {
val indexes = arg.indices
val buffer = arg.buffer
return BufferND(
indexes,
bufferAlgebra.mapIndexedInline(arg.buffer) { offset, value ->
transform(indexes.index(offset), value)
bufferAlgebra.run {
bufferFactory(buffer.size) { elementAlgebra.transform(indexes.index(it), buffer[it]) }
}
)
}
@ -75,35 +82,42 @@ internal inline fun <T, A : Algebra<T>> BufferAlgebraND<T, A>.mapIndexedInline(
internal inline fun <T, A : Algebra<T>> BufferAlgebraND<T, A>.zipInline(
l: BufferND<T>,
r: BufferND<T>,
crossinline block: A.(l: T, r: T) -> T
crossinline block: A.(l: T, r: T) -> T,
): BufferND<T> {
require(l.indices == r.indices) { "Zip requires the same shapes, but found ${l.shape} on the left and ${r.shape} on the right" }
val indexes = l.indices
return BufferND(indexes, bufferAlgebra.zipInline(l.buffer, r.buffer, block))
val lbuffer = l.buffer
val rbuffer = r.buffer
return BufferND(
indexes,
bufferAlgebra.run {
bufferFactory(lbuffer.size) { elementAlgebra.block(lbuffer[it], rbuffer[it]) }
}
)
}
@OptIn(PerformancePitfall::class)
public open class BufferedGroupNDOps<T, out A : Group<T>>(
override val bufferAlgebra: BufferAlgebra<T, A>,
override val indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder
override val indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder,
) : GroupOpsND<T, A>, BufferAlgebraND<T, A> {
override fun StructureND<T>.unaryMinus(): StructureND<T> = map { -it }
}
public open class BufferedRingOpsND<T, out A : Ring<T>>(
bufferAlgebra: BufferAlgebra<T, A>,
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder,
) : BufferedGroupNDOps<T, A>(bufferAlgebra, indexerBuilder), RingOpsND<T, A>
public open class BufferedFieldOpsND<T, out A : Field<T>>(
bufferAlgebra: BufferAlgebra<T, A>,
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder,
) : BufferedRingOpsND<T, A>(bufferAlgebra, indexerBuilder), FieldOpsND<T, A> {
public constructor(
elementAlgebra: A,
bufferFactory: BufferFactory<T>,
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder
indexerBuilder: (IntArray) -> ShapeIndexer = BufferAlgebraND.defaultIndexerBuilder,
) : this(BufferFieldOps(elementAlgebra, bufferFactory), indexerBuilder)
@OptIn(PerformancePitfall::class)
@ -117,11 +131,11 @@ public val <T, A : Field<T>> BufferAlgebra<T, A>.nd: BufferedFieldOpsND<T, A> ge
public fun <T, A : Algebra<T>> BufferAlgebraND<T, A>.structureND(
vararg shape: Int,
initializer: A.(IntArray) -> T
initializer: A.(IntArray) -> T,
): BufferND<T> = structureND(shape, initializer)
public fun <T, EA : Algebra<T>, A> A.structureND(
initializer: EA.(IntArray) -> T
initializer: EA.(IntArray) -> T,
): BufferND<T> where A : BufferAlgebraND<T, EA>, A : WithShape = structureND(shape, initializer)
//// group factories

46
kmath-core/src/commonMain/kotlin/space/kscience/kmath/nd/DoubleFieldND.kt
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@ -11,7 +11,7 @@ import space.kscience.kmath.operations.*
import space.kscience.kmath.structures.DoubleBuffer
import kotlin.contracts.InvocationKind
import kotlin.contracts.contract
import kotlin.math.pow
import kotlin.math.pow as kpow
public class DoubleBufferND(
indexes: ShapeIndexer,
@ -30,9 +30,9 @@ public sealed class DoubleFieldOpsND : BufferedFieldOpsND<Double, DoubleField>(D
}
}
private inline fun mapInline(
protected inline fun mapInline(
arg: DoubleBufferND,
transform: (Double) -> Double
transform: (Double) -> Double,
): DoubleBufferND {
val indexes = arg.indices
val array = arg.buffer.array
@ -42,7 +42,7 @@ public sealed class DoubleFieldOpsND : BufferedFieldOpsND<Double, DoubleField>(D
private inline fun zipInline(
l: DoubleBufferND,
r: DoubleBufferND,
block: (l: Double, r: Double) -> Double
block: (l: Double, r: Double) -> Double,
): DoubleBufferND {
require(l.indices == r.indices) { "Zip requires the same shapes, but found ${l.shape} on the left and ${r.shape} on the right" }
val indexes = l.indices
@ -60,7 +60,7 @@ public sealed class DoubleFieldOpsND : BufferedFieldOpsND<Double, DoubleField>(D
override fun zip(
left: StructureND<Double>,
right: StructureND<Double>,
transform: DoubleField.(Double, Double) -> Double
transform: DoubleField.(Double, Double) -> Double,
): BufferND<Double> = zipInline(left.toBufferND(), right.toBufferND()) { l, r -> DoubleField.transform(l, r) }
override fun structureND(shape: Shape, initializer: DoubleField.(IntArray) -> Double): DoubleBufferND {
@ -123,9 +123,6 @@ public sealed class DoubleFieldOpsND : BufferedFieldOpsND<Double, DoubleField>(D
override fun scale(a: StructureND<Double>, value: Double): DoubleBufferND =
mapInline(a.toBufferND()) { it * value }
override fun power(arg: StructureND<Double>, pow: Number): DoubleBufferND =
mapInline(arg.toBufferND()) { it.pow(pow.toDouble()) }
override fun exp(arg: StructureND<Double>): DoubleBufferND =
mapInline(arg.toBufferND()) { kotlin.math.exp(it) }
@ -173,7 +170,38 @@ public sealed class DoubleFieldOpsND : BufferedFieldOpsND<Double, DoubleField>(D
@OptIn(UnstableKMathAPI::class)
public class DoubleFieldND(override val shape: Shape) :
DoubleFieldOpsND(), FieldND<Double, DoubleField>, NumbersAddOps<StructureND<Double>> {
DoubleFieldOpsND(), FieldND<Double, DoubleField>, NumbersAddOps<StructureND<Double>>,
ExtendedField<StructureND<Double>> {
override fun power(arg: StructureND<Double>, pow: UInt): DoubleBufferND = mapInline(arg.toBufferND()) {
it.kpow(pow.toInt())
}
override fun power(arg: StructureND<Double>, pow: Int): DoubleBufferND = mapInline(arg.toBufferND()) {
it.kpow(pow)
}
override fun power(arg: StructureND<Double>, pow: Number): DoubleBufferND = if(pow.isInteger()){
power(arg, pow.toInt())
} else {
val dpow = pow.toDouble()
mapInline(arg.toBufferND()) {
if (it < 0) throw IllegalArgumentException("Can't raise negative $it to a fractional power")
else it.kpow(dpow)
}
}
override fun sinh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.sinh(arg)
override fun cosh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.cosh(arg)
override fun tanh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.tan(arg)
override fun asinh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.asinh(arg)
override fun acosh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.acosh(arg)
override fun atanh(arg: StructureND<Double>): DoubleBufferND = super<DoubleFieldOpsND>.atanh(arg)
override fun number(value: Number): DoubleBufferND {
val d = value.toDouble() // minimize conversions

55
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/Algebra.kt
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@ -7,6 +7,7 @@ package space.kscience.kmath.operations
import space.kscience.kmath.expressions.Symbol
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.Ring.Companion.optimizedPower
/**
* Stub for DSL the [Algebra] is.
@ -257,6 +258,40 @@ public interface Ring<T> : Group<T>, RingOps<T> {
* The neutral element of multiplication
*/
public val one: T
/**
* Raises [arg] to the integer power [pow].
*/
public fun power(arg: T, pow: UInt): T = optimizedPower(arg, pow)
public companion object{
/**
* Raises [arg] to the non-negative integer power [exponent].
*
* Special case: 0 ^ 0 is 1.
*
* @receiver the algebra to provide multiplication.
* @param arg the base.
* @param exponent the exponent.
* @return the base raised to the power.
* @author Evgeniy Zhelenskiy
*/
internal fun <T> Ring<T>.optimizedPower(arg: T, exponent: UInt): T = when {
arg == zero && exponent > 0U -> zero
arg == one -> arg
arg == -one -> powWithoutOptimization(arg, exponent % 2U)
else -> powWithoutOptimization(arg, exponent)
}
private fun <T> Ring<T>.powWithoutOptimization(base: T, exponent: UInt): T = when (exponent) {
0U -> one
1U -> base
else -> {
val pre = powWithoutOptimization(base, exponent shr 1).let { it * it }
if (exponent and 1U == 0U) pre else pre * base
}
}
}
}
/**
@ -307,4 +342,24 @@ public interface FieldOps<T> : RingOps<T> {
*/
public interface Field<T> : Ring<T>, FieldOps<T>, ScaleOperations<T>, NumericAlgebra<T> {
override fun number(value: Number): T = scale(one, value.toDouble())
public fun power(arg: T, pow: Int): T = optimizedPower(arg, pow)
public companion object{
/**
* Raises [arg] to the integer power [exponent].
*
* Special case: 0 ^ 0 is 1.
*
* @receiver the algebra to provide multiplication and division.
* @param arg the base.
* @param exponent the exponent.
* @return the base raised to the power.
* @author Iaroslav Postovalov, Evgeniy Zhelenskiy
*/
private fun <T> Field<T>.optimizedPower(arg: T, exponent: Int): T = when {
exponent < 0 -> one / (this as Ring<T>).optimizedPower(arg, if (exponent == Int.MIN_VALUE) Int.MAX_VALUE.toUInt().inc() else (-exponent).toUInt())
else -> (this as Ring<T>).optimizedPower(arg, exponent.toUInt())
}
}
}

14
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/BufferAlgebra.kt
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@ -5,6 +5,7 @@
package space.kscience.kmath.operations
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.DoubleBuffer
@ -34,11 +35,13 @@ public interface BufferAlgebra<T, out A : Algebra<T>> : Algebra<Buffer<T>> {
public fun Buffer<T>.zip(other: Buffer<T>, block: A.(left: T, right: T) -> T): Buffer<T> =
zipInline(this, other, block)
@UnstableKMathAPI
override fun unaryOperationFunction(operation: String): (arg: Buffer<T>) -> Buffer<T> {
val operationFunction = elementAlgebra.unaryOperationFunction(operation)
return { arg -> bufferFactory(arg.size) { operationFunction(arg[it]) } }
}
@UnstableKMathAPI
override fun binaryOperationFunction(operation: String): (left: Buffer<T>, right: Buffer<T>) -> Buffer<T> {
val operationFunction = elementAlgebra.binaryOperationFunction(operation)
return { left, right ->
@ -50,7 +53,7 @@ public interface BufferAlgebra<T, out A : Algebra<T>> : Algebra<Buffer<T>> {
/**
* Inline map
*/
public inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapInline(
private inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapInline(
buffer: Buffer<T>,
crossinline block: A.(T) -> T
): Buffer<T> = bufferFactory(buffer.size) { elementAlgebra.block(buffer[it]) }
@ -58,7 +61,7 @@ public inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapInline(
/**
* Inline map
*/
public inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapIndexedInline(
private inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapIndexedInline(
buffer: Buffer<T>,
crossinline block: A.(index: Int, arg: T) -> T
): Buffer<T> = bufferFactory(buffer.size) { elementAlgebra.block(it, buffer[it]) }
@ -66,7 +69,7 @@ public inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.mapIndexedInline(
/**
* Inline zip
*/
public inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.zipInline(
private inline fun <T, A : Algebra<T>> BufferAlgebra<T, A>.zipInline(
l: Buffer<T>,
r: Buffer<T>,
crossinline block: A.(l: T, r: T) -> T
@ -126,7 +129,7 @@ public fun <T, A : ExponentialOperations<T>> BufferAlgebra<T, A>.atanh(arg: Buff
mapInline(arg) { atanh(it) }
public fun <T, A : PowerOperations<T>> BufferAlgebra<T, A>.pow(arg: Buffer<T>, pow: Number): Buffer<T> =
mapInline(arg) { power(it, pow) }
mapInline(arg) {it.pow(pow) }
public open class BufferRingOps<T, A: Ring<T>>(
@ -138,9 +141,11 @@ public open class BufferRingOps<T, A: Ring<T>>(
override fun multiply(left: Buffer<T>, right: Buffer<T>): Buffer<T> = zipInline(left, right) { l, r -> l * r }
override fun Buffer<T>.unaryMinus(): Buffer<T> = map { -it }
@UnstableKMathAPI
override fun unaryOperationFunction(operation: String): (arg: Buffer<T>) -> Buffer<T> =
super<BufferAlgebra>.unaryOperationFunction(operation)
@UnstableKMathAPI
override fun binaryOperationFunction(operation: String): (left: Buffer<T>, right: Buffer<T>) -> Buffer<T> =
super<BufferAlgebra>.binaryOperationFunction(operation)
}
@ -160,6 +165,7 @@ public open class BufferFieldOps<T, A : Field<T>>(
override fun scale(a: Buffer<T>, value: Double): Buffer<T> = a.map { scale(it, value) }
override fun Buffer<T>.unaryMinus(): Buffer<T> = map { -it }
@UnstableKMathAPI
override fun binaryOperationFunction(operation: String): (left: Buffer<T>, right: Buffer<T>) -> Buffer<T> =
super<BufferRingOps>.binaryOperationFunction(operation)
}

17
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/DoubleBufferField.kt
View File

@ -5,6 +5,8 @@
package space.kscience.kmath.operations
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.DoubleField.pow
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.DoubleBuffer
@ -27,7 +29,20 @@ public class DoubleBufferField(public val size: Int) : ExtendedField<Buffer<Doub
override fun acosh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOps>.acosh(arg)
override fun atanh(arg: Buffer<Double>): DoubleBuffer= super<DoubleBufferOps>.atanh(arg)
override fun atanh(arg: Buffer<Double>): DoubleBuffer = super<DoubleBufferOps>.atanh(arg)
override fun power(arg: Buffer<Double>, pow: Number): DoubleBuffer = if (pow.isInteger()) {
arg.mapInline { it.pow(pow.toInt()) }
} else {
arg.mapInline {
if(it<0) throw IllegalArgumentException("Negative argument $it could not be raised to the fractional power")
it.pow(pow.toDouble())
}
}
@UnstableKMathAPI
override fun unaryOperationFunction(operation: String): (arg: Buffer<Double>) -> Buffer<Double> =
super<ExtendedField>.unaryOperationFunction(operation)
// override fun number(value: Number): Buffer<Double> = DoubleBuffer(size) { value.toDouble() }
//

124
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/DoubleBufferOps.kt
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@ -6,21 +6,32 @@
package space.kscience.kmath.operations
import space.kscience.kmath.linear.Point
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.structures.Buffer
import space.kscience.kmath.structures.BufferFactory
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.asBuffer
import kotlin.math.*
/**
* [ExtendedFieldOps] over [DoubleBuffer].
*/
public abstract class DoubleBufferOps : ExtendedFieldOps<Buffer<Double>>, Norm<Buffer<Double>, Double> {
public abstract class DoubleBufferOps :
BufferAlgebra<Double, DoubleField>, ExtendedFieldOps<Buffer<Double>>, Norm<Buffer<Double>, Double> {
override fun Buffer<Double>.unaryMinus(): DoubleBuffer = if (this is DoubleBuffer) {
DoubleBuffer(size) { -array[it] }
} else {
DoubleBuffer(size) { -get(it) }
}
override val elementAlgebra: DoubleField get() = DoubleField
override val bufferFactory: BufferFactory<Double> get() = ::DoubleBuffer
@UnstableKMathAPI
override fun unaryOperationFunction(operation: String): (arg: Buffer<Double>) -> Buffer<Double> =
super<ExtendedFieldOps>.unaryOperationFunction(operation)
@UnstableKMathAPI
override fun binaryOperationFunction(operation: String): (left: Buffer<Double>, right: Buffer<Double>) -> Buffer<Double> =
super<ExtendedFieldOps>.binaryOperationFunction(operation)
override fun Buffer<Double>.unaryMinus(): DoubleBuffer = mapInline { -it }
override fun add(left: Buffer<Double>, right: Buffer<Double>): DoubleBuffer {
require(right.size == left.size) {
@ -92,101 +103,46 @@ public abstract class DoubleBufferOps : ExtendedFieldOps<Buffer<Double>>, Norm<B
} else DoubleBuffer(DoubleArray(left.size) { left[it] / right[it] })
}
override fun sin(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { sin(array[it]) })
} else DoubleBuffer(DoubleArray(arg.size) { sin(arg[it]) })
override fun sin(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::sin)
override fun cos(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { cos(array[it]) })
} else DoubleBuffer(DoubleArray(arg.size) { cos(arg[it]) })
override fun cos(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::cos)
override fun tan(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { tan(array[it]) })
} else DoubleBuffer(DoubleArray(arg.size) { tan(arg[it]) })
override fun tan(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::tan)
override fun asin(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { asin(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { asin(arg[it]) })
override fun asin(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::asin)
override fun acos(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { acos(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { acos(arg[it]) })
override fun acos(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::acos)
override fun atan(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { atan(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { atan(arg[it]) })
override fun atan(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::atan)
override fun sinh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { sinh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { sinh(arg[it]) })
override fun sinh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::sinh)
override fun cosh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { cosh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { cosh(arg[it]) })
override fun cosh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::cosh)
override fun tanh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { tanh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { tanh(arg[it]) })
override fun tanh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::tanh)
override fun asinh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { asinh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { asinh(arg[it]) })
override fun asinh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::asinh)
override fun acosh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { acosh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { acosh(arg[it]) })
override fun acosh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::acosh)
override fun atanh(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { atanh(array[it]) })
} else
DoubleBuffer(DoubleArray(arg.size) { atanh(arg[it]) })
override fun atanh(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::atanh)
override fun power(arg: Buffer<Double>, pow: Number): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { array[it].pow(pow.toDouble()) })
} else
DoubleBuffer(DoubleArray(arg.size) { arg[it].pow(pow.toDouble()) })
override fun exp(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::exp)
override fun exp(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { exp(array[it]) })
} else DoubleBuffer(DoubleArray(arg.size) { exp(arg[it]) })
override fun ln(arg: Buffer<Double>): DoubleBuffer = if (arg is DoubleBuffer) {
val array = arg.array
DoubleBuffer(DoubleArray(arg.size) { ln(array[it]) })
} else {
DoubleBuffer(DoubleArray(arg.size) { ln(arg[it]) })
}
override fun ln(arg: Buffer<Double>): DoubleBuffer = arg.mapInline(::ln)
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 })
override fun scale(a: Buffer<Double>, value: Double): DoubleBuffer = a.mapInline { it * value }
public companion object : DoubleBufferOps()
public companion object : DoubleBufferOps() {
public inline fun Buffer<Double>.mapInline(block: (Double) -> Double): DoubleBuffer =
if (this is DoubleBuffer) {
DoubleArray(size) { block(array[it]) }.asBuffer()
} else {
DoubleArray(size) { block(get(it)) }.asBuffer()
}
}
}
public object DoubleL2Norm : Norm<Point<Double>, Double> {

12
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/OptionalOperations.kt
View File

@ -74,14 +74,21 @@ public interface TrigonometricOperations<T> : Algebra<T> {
}
}
/**
* Check if number is an integer from platform point of view
*/
public expect fun Number.isInteger(): Boolean
/**
* A context extension to include power operations based on exponentiation.
*
* @param T the type of element of this structure.
*/
public interface PowerOperations<T> : Algebra<T> {
public interface PowerOperations<T> : FieldOps<T> {
/**
* Raises [arg] to the power [pow].
* Raises [arg] to a power if possible (negative number could not be raised to a fractional power).
* Throws [IllegalArgumentException] if not possible.
*/
public fun power(arg: T, pow: Number): T
@ -108,6 +115,7 @@ public interface PowerOperations<T> : Algebra<T> {
}
}
/**
* A container for operations related to `exp` and `ln` functions.
*

43
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/algebraExtensions.kt
View File

@ -96,46 +96,3 @@ public fun <T, S> Iterable<T>.averageWith(space: S): T where S : Ring<T>, S : Sc
public fun <T, S> Sequence<T>.averageWith(space: S): T where S : Ring<T>, S : ScaleOperations<T> =
space.average(this)
/**
* Raises [arg] to the non-negative integer power [exponent].
*
* Special case: 0 ^ 0 is 1.
*
* @receiver the algebra to provide multiplication.
* @param arg the base.
* @param exponent the exponent.
* @return the base raised to the power.
* @author Evgeniy Zhelenskiy
*/
public fun <T> Ring<T>.power(arg: T, exponent: UInt): T = when {
arg == zero && exponent > 0U -> zero
arg == one -> arg
arg == -one -> powWithoutOptimization(arg, exponent % 2U)
else -> powWithoutOptimization(arg, exponent)
}
private fun <T> Ring<T>.powWithoutOptimization(base: T, exponent: UInt): T = when (exponent) {
0U -> one
1U -> base
else -> {
val pre = powWithoutOptimization(base, exponent shr 1).let { it * it }
if (exponent and 1U == 0U) pre else pre * base
}
}
/**
* Raises [arg] to the integer power [exponent].
*
* Special case: 0 ^ 0 is 1.
*
* @receiver the algebra to provide multiplication and division.
* @param arg the base.
* @param exponent the exponent.
* @return the base raised to the power.
* @author Iaroslav Postovalov, Evgeniy Zhelenskiy
*/
public fun <T> Field<T>.power(arg: T, exponent: Int): T = when {
exponent < 0 -> one / (this as Ring<T>).power(arg, if (exponent == Int.MIN_VALUE) Int.MAX_VALUE.toUInt().inc() else (-exponent).toUInt())
else -> (this as Ring<T>).power(arg, exponent.toUInt())
}

23
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/numbers.kt
View File

@ -13,7 +13,6 @@ import kotlin.math.pow as kpow
public interface ExtendedFieldOps<T> :
FieldOps<T>,
TrigonometricOperations<T>,
PowerOperations<T>,
ExponentialOperations<T>,
ScaleOperations<T> {
override fun tan(arg: T): T = sin(arg) / cos(arg)
@ -26,7 +25,6 @@ public interface ExtendedFieldOps<T> :
TrigonometricOperations.ACOS_OPERATION -> ::acos
TrigonometricOperations.ASIN_OPERATION -> ::asin
TrigonometricOperations.ATAN_OPERATION -> ::atan
PowerOperations.SQRT_OPERATION -> ::sqrt
ExponentialOperations.EXP_OPERATION -> ::exp
ExponentialOperations.LN_OPERATION -> ::ln
ExponentialOperations.COSH_OPERATION -> ::cosh
@ -42,7 +40,7 @@ public interface ExtendedFieldOps<T> :
/**
* Advanced Number-like field that implements basic operations.
*/
public interface ExtendedField<T> : ExtendedFieldOps<T>, Field<T>, NumericAlgebra<T>{
public interface ExtendedField<T> : ExtendedFieldOps<T>, Field<T>, PowerOperations<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))
@ -50,6 +48,11 @@ public interface ExtendedField<T> : ExtendedFieldOps<T>, Field<T>, NumericAlgebr
override fun acosh(arg: T): T = ln(arg + sqrt((arg - one) * (arg + one)))
override fun atanh(arg: T): T = (ln(arg + one) - ln(one - arg)) / 2.0
override fun unaryOperationFunction(operation: String): (arg: T) -> T {
return if (operation == PowerOperations.SQRT_OPERATION) ::sqrt
else super<ExtendedFieldOps>.unaryOperationFunction(operation)
}
override fun rightSideNumberOperationFunction(operation: String): (left: T, right: Number) -> T =
when (operation) {
PowerOperations.POW_OPERATION -> ::power
@ -69,7 +72,7 @@ public object DoubleField : ExtendedField<Double>, Norm<Double, Double>, ScaleOp
override fun binaryOperationFunction(operation: String): (left: Double, right: Double) -> Double =
when (operation) {
PowerOperations.POW_OPERATION -> ::power
PowerOperations.POW_OPERATION -> { l, r -> l.kpow(r) }
else -> super<ExtendedField>.binaryOperationFunction(operation)
}
@ -94,8 +97,13 @@ public object DoubleField : ExtendedField<Double>, Norm<Double, Double>, ScaleOp
override inline fun acosh(arg: Double): Double = kotlin.math.acosh(arg)
override inline fun atanh(arg: Double): Double = kotlin.math.atanh(arg)
override inline fun sqrt(arg: Double): Double = kotlin.math.sqrt(arg)
override inline fun power(arg: Double, pow: Number): Double = arg.kpow(pow.toDouble())
override fun sqrt(arg: Double): Double = kotlin.math.sqrt(arg)
override fun power(arg: Double, pow: Number): Double = when {
pow.isInteger() -> arg.kpow(pow.toInt())
arg < 0 -> throw IllegalArgumentException("Can't raise negative $arg to a fractional power $pow")
else -> arg.kpow(pow.toDouble())
}
override inline fun exp(arg: Double): Double = kotlin.math.exp(arg)
override inline fun ln(arg: Double): Double = kotlin.math.ln(arg)
@ -122,7 +130,7 @@ public object FloatField : ExtendedField<Float>, Norm<Float, Float> {
override fun binaryOperationFunction(operation: String): (left: Float, right: Float) -> Float =
when (operation) {
PowerOperations.POW_OPERATION -> ::power
PowerOperations.POW_OPERATION -> { l, r -> l.kpow(r) }
else -> super.binaryOperationFunction(operation)
}
@ -149,6 +157,7 @@ public object FloatField : ExtendedField<Float>, Norm<Float, Float> {
override inline fun sqrt(arg: Float): Float = kotlin.math.sqrt(arg)
override inline fun power(arg: Float, pow: Number): Float = arg.kpow(pow.toFloat())
override inline fun exp(arg: Float): Float = kotlin.math.exp(arg)
override inline fun ln(arg: Float): Float = kotlin.math.ln(arg)

6
kmath-core/src/jsMain/kotlin/space/kscience/kmath/operations/isInteger.kt Normal file
View File

@ -0,0 +1,6 @@
package space.kscience.kmath.operations
/**
* Check if number is an integer
*/
public actual fun Number.isInteger(): Boolean = js("Number").isInteger(this) as Boolean

6
kmath-core/src/jvmMain/kotlin/space/kscience/kmath/operations/isInteger.kt Normal file
View File

@ -0,0 +1,6 @@
package space.kscience.kmath.operations
/**
* Check if number is an integer
*/
public actual fun Number.isInteger(): Boolean = (this is Int) || (this is Long) || (this is Short) || (this.toDouble() % 1 == 0.0)

6
kmath-core/src/nativeMain/kotlin/space/kscience/kmath/operations/isInteger.kt Normal file
View File

@ -0,0 +1,6 @@
package space.kscience.kmath.operations
/**
* Check if number is an integer
*/
public actual fun Number.isInteger(): Boolean = (this is Int) || (this is Long) || (this is Short) || (this.toDouble() % 1 == 0.0)

2
kmath-kotlingrad/src/test/kotlin/space/kscience/kmath/kotlingrad/AdaptingTests.kt
View File

@ -62,6 +62,6 @@ internal class AdaptingTests {
.parseMath()
.compileToExpression(DoubleField)
assertEquals(actualDerivative(x to 0.1), expectedDerivative(x to 0.1))
assertEquals(actualDerivative(x to -0.1), expectedDerivative(x to -0.1))
}
}

2
kmath-nd4j/src/main/kotlin/space/kscience/kmath/nd4j/Nd4jArrayAlgebra.kt
View File

@ -155,7 +155,7 @@ public sealed interface Nd4jArrayField<T, out F : Field<T>> : FieldOpsND<T, F>,
* Represents intersection of [ExtendedField] and [Field] over [Nd4jArrayStructure].
*/
public sealed interface Nd4jArrayExtendedFieldOps<T, out F : ExtendedField<T>> :
ExtendedFieldOps<StructureND<T>>, Nd4jArrayField<T, F> {
ExtendedFieldOps<StructureND<T>>, Nd4jArrayField<T, F>, PowerOperations<StructureND<T>> {
override fun sin(arg: StructureND<T>): StructureND<T> = Transforms.sin(arg.ndArray).wrap()
override fun cos(arg: StructureND<T>): StructureND<T> = Transforms.cos(arg.ndArray).wrap()

31
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/AnalyticTensorAlgebra.kt
View File

@ -5,8 +5,8 @@
package space.kscience.kmath.tensors.api
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.StructureND
import space.kscience.kmath.operations.ExtendedFieldOps
import space.kscience.kmath.operations.Field
@ -15,7 +15,8 @@ import space.kscience.kmath.operations.Field
*
* @param T the type of items closed under analytic functions in the tensors.
*/
public interface AnalyticTensorAlgebra<T, A : Field<T>> : TensorPartialDivisionAlgebra<T, A> {
public interface AnalyticTensorAlgebra<T, A : Field<T>> :
TensorPartialDivisionAlgebra<T, A>, ExtendedFieldOps<StructureND<T>> {
/**
* @return the mean of all elements in the input tensor.
@ -122,7 +123,27 @@ public interface AnalyticTensorAlgebra<T, A : Field<T>> : TensorPartialDivisionA
//For information: https://pytorch.org/docs/stable/generated/torch.floor.html#torch.floor
public fun StructureND<T>.floor(): Tensor<T>
}
override fun sin(arg: StructureND<T>): StructureND<T> = arg.sin()
@UnstableKMathAPI
public fun <T, ATA : AnalyticTensorAlgebra<T, *>> ATA.exp(arg: StructureND<T>): Tensor<T> = arg.exp()
override fun cos(arg: StructureND<T>): StructureND<T> = arg.cos()
override fun asin(arg: StructureND<T>): StructureND<T> = arg.asin()
override fun acos(arg: StructureND<T>): StructureND<T> = arg.acos()
override fun atan(arg: StructureND<T>): StructureND<T> = arg.atan()
override fun exp(arg: StructureND<T>): StructureND<T> = arg.exp()
override fun ln(arg: StructureND<T>): StructureND<T> = arg.ln()
override fun sinh(arg: StructureND<T>): StructureND<T> = arg.sinh()
override fun cosh(arg: StructureND<T>): StructureND<T> = arg.cosh()
override fun asinh(arg: StructureND<T>): StructureND<T> = arg.asinh()
override fun acosh(arg: StructureND<T>): StructureND<T> = arg.acosh()
override fun atanh(arg: StructureND<T>): StructureND<T> = arg.atanh()
}

4
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt
View File

@ -5,6 +5,7 @@
package space.kscience.kmath.tensors.core
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.StructureND
import space.kscience.kmath.tensors.api.Tensor
@ -17,6 +18,8 @@ import space.kscience.kmath.tensors.core.internal.tensor
* Basic linear algebra operations implemented with broadcasting.
* For more information: https://pytorch.org/docs/stable/notes/broadcasting.html
*/
@PerformancePitfall
public object BroadcastDoubleTensorAlgebra : DoubleTensorAlgebra() {
override fun StructureND<Double>.plus(arg: StructureND<Double>): DoubleTensor {
@ -99,5 +102,6 @@ public object BroadcastDoubleTensorAlgebra : DoubleTensorAlgebra() {
* Compute a value using broadcast double tensor algebra
*/
@UnstableKMathAPI
@PerformancePitfall
public fun <R> DoubleTensorAlgebra.withBroadcast(block: BroadcastDoubleTensorAlgebra.() -> R): R =
BroadcastDoubleTensorAlgebra.block()

13
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
View File

@ -3,8 +3,12 @@
* Use of this source code is governed by the Apache 2.0 license that can be found in the LICENSE file.
*/
@file:OptIn(PerformancePitfall::class)
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
@ -39,6 +43,7 @@ public open class DoubleTensorAlgebra :
* @param transform the function to be applied to each element of the tensor.
* @return the resulting tensor after applying the function.
*/
@PerformancePitfall
@Suppress("OVERRIDE_BY_INLINE")
final override inline fun StructureND<Double>.map(transform: DoubleField.(Double) -> Double): DoubleTensor {
val tensor = this.tensor
@ -52,6 +57,7 @@ public open class DoubleTensorAlgebra :
)
}
@PerformancePitfall
@Suppress("OVERRIDE_BY_INLINE")
final override inline fun StructureND<Double>.mapIndexed(transform: DoubleField.(index: IntArray, Double) -> Double): DoubleTensor {
val tensor = this.tensor
@ -65,6 +71,7 @@ public open class DoubleTensorAlgebra :
)
}
@PerformancePitfall
override fun zip(
left: StructureND<Double>,
right: StructureND<Double>,
@ -377,6 +384,7 @@ public open class DoubleTensorAlgebra :
override fun Tensor<Double>.viewAs(other: StructureND<Double>): DoubleTensor =
tensor.view(other.shape)
@PerformancePitfall
override infix fun StructureND<Double>.dot(other: StructureND<Double>): DoubleTensor {
if (tensor.shape.size == 1 && other.shape.size == 1) {
return DoubleTensor(intArrayOf(1), doubleArrayOf(tensor.times(other).tensor.mutableBuffer.array().sum()))
@ -691,14 +699,19 @@ public open class DoubleTensorAlgebra :
return resTensor
}
@OptIn(PerformancePitfall::class)
override fun StructureND<Double>.exp(): DoubleTensor = tensor.map { exp(it) }
@OptIn(PerformancePitfall::class)
override fun StructureND<Double>.ln(): DoubleTensor = tensor.map { ln(it) }
@OptIn(PerformancePitfall::class)
override fun StructureND<Double>.sqrt(): DoubleTensor = tensor.map { sqrt(it) }
@OptIn(PerformancePitfall::class)
override fun StructureND<Double>.cos(): DoubleTensor = tensor.map { cos(it) }
@OptIn(PerformancePitfall::class)
override fun StructureND<Double>.acos(): DoubleTensor = tensor.map { acos(it) }
override fun StructureND<Double>.cosh(): DoubleTensor = tensor.map { cosh(it) }

3
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/tensorAlgebraExtensions.kt
View File

@ -3,8 +3,11 @@
* Use of this source code is governed by the Apache 2.0 license that can be found in the LICENSE file.
*/
@file:OptIn(PerformancePitfall::class)
package space.kscience.kmath.tensors.core
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.nd.Shape
import kotlin.jvm.JvmName

10
kmath-viktor/src/main/kotlin/space/kscience/kmath/viktor/ViktorFieldOpsND.kt
View File

@ -6,17 +6,20 @@
package space.kscience.kmath.viktor
import org.jetbrains.bio.viktor.F64Array
import space.kscience.kmath.misc.PerformancePitfall
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.nd.*
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.operations.ExtendedFieldOps
import space.kscience.kmath.operations.NumbersAddOps
import space.kscience.kmath.operations.PowerOperations
@OptIn(UnstableKMathAPI::class)
@Suppress("OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
public open class ViktorFieldOpsND :
FieldOpsND<Double, DoubleField>,
ExtendedFieldOps<StructureND<Double>> {
ExtendedFieldOps<StructureND<Double>>,
PowerOperations<StructureND<Double>> {
public val StructureND<Double>.f64Buffer: F64Array
get() = when (this) {
@ -35,6 +38,7 @@ public open class ViktorFieldOpsND :
override fun StructureND<Double>.unaryMinus(): StructureND<Double> = -1 * this
@PerformancePitfall
override fun StructureND<Double>.map(transform: DoubleField.(Double) -> Double): ViktorStructureND =
F64Array(*shape).apply {
DefaultStrides(shape).asSequence().forEach { index ->
@ -42,6 +46,7 @@ public open class ViktorFieldOpsND :
}
}.asStructure()
@PerformancePitfall
override fun StructureND<Double>.mapIndexed(
transform: DoubleField.(index: IntArray, Double) -> Double,
): ViktorStructureND = F64Array(*shape).apply {
@ -50,6 +55,7 @@ public open class ViktorFieldOpsND :
}
}.asStructure()
@PerformancePitfall
override fun zip(
left: StructureND<Double>,
right: StructureND<Double>,
@ -110,7 +116,7 @@ public open class ViktorFieldOpsND :
public val DoubleField.viktorAlgebra: ViktorFieldOpsND get() = ViktorFieldOpsND
public open class ViktorFieldND(
override val shape: Shape
override val shape: Shape,
) : ViktorFieldOpsND(), FieldND<Double, DoubleField>, NumbersAddOps<StructureND<Double>> {
override val zero: ViktorStructureND by lazy { F64Array.full(init = 0.0, shape = shape).asStructure() }
override val one: ViktorStructureND by lazy { F64Array.full(init = 1.0, shape = shape).asStructure() }