FieldOpsND

Field of StructureND.

Parameters

T

the type of the element contained in ND structure.

A

the type field over structure elements.

Inheritors

Functions

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abstract fun add(left: StructureND<T>, right: StructureND<T>): StructureND<T>

Addition of two elements.

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open fun binaryOperation(operation: String, left: StructureND<T>, right: StructureND<T>): StructureND<T>

Dynamically invokes a binary operation with the certain name.

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open override fun binaryOperationFunction(operation: String): (left: StructureND<T>, right: StructureND<T>) -> StructureND<T>

Dynamically dispatches a binary operation with the certain name.

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open fun bindSymbol(value: String): StructureND<T>

The same as bindSymbolOrNull but throws an error if symbol could not be bound

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fun <T> Algebra<T>.bindSymbol(symbol: Symbol): T
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open fun bindSymbolOrNull(value: String): StructureND<T>?

Wraps a raw string to T object. This method is designed for three purposes:

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fun <T> Algebra<T>.bindSymbolOrNull(symbol: Symbol): T?
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Indicates whether some StructureND is equal to another one.

fun <T : Comparable<T>> GroupOpsND<T, Ring<T>>.contentEquals(st1: StructureND<T>, st2: StructureND<T>, absoluteTolerance: T): Boolean

Indicates whether some StructureND is equal to another one with absoluteTolerance.

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open operator fun T.div(arg: StructureND<T>): StructureND<T>

Divides an element by an ND structure of it.

open operator fun StructureND<T>.div(arg: T): StructureND<T>

Divides an ND structure by an element of it.

open operator fun StructureND<T>.div(arg: StructureND<T>): StructureND<T>

Division of two elements.

open operator fun StructureND<T>.div(k: Number): StructureND<T>

Division of this element by scalar.

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open override fun divide(left: StructureND<T>, right: StructureND<T>): StructureND<T>

Element-wise division.

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Export an algebra element, so it could be accessed even after algebra scope is closed. This method must be used on algebras where data is stored externally or any local algebra state is used. By default (if not overridden), exports the object itself.

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open fun <F : StructureFeature> getFeature(structure: StructureND<T>, type: KClass<out F>): F?

Get a feature of the structure in this scope. Structure features take precedence other context features.

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inline fun <T : Any, F : StructureFeature> AlgebraND<T, *>.getFeature(structure: StructureND<T>): F?

Get a feature of the structure in this scope. Structure features take precedence other context features.

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open operator fun (T) -> T.invoke(structure: StructureND<T>): StructureND<T>

Element-wise invocation of function working on T on a StructureND.

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@PerformancePitfall(message = "Very slow on remote execution algebras")
open fun StructureND<T>.map(transform: A.(T) -> T): StructureND<T>

Maps elements from one structure to another one by applying transform to them.

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@PerformancePitfall(message = "Very slow on remote execution algebras")
open fun StructureND<T>.mapIndexed(transform: A.(index: IntArray, T) -> T): StructureND<T>

Maps elements from one structure to another one by applying transform to them alongside with their indices.

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open operator fun T.minus(arg: StructureND<T>): StructureND<T>

Subtracts an ND structure from an element of it.

open operator fun StructureND<T>.minus(arg: T): StructureND<T>

Subtracts an element from ND structure of it.

open operator fun StructureND<T>.minus(arg: StructureND<T>): StructureND<T>

Subtraction of two elements.

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abstract fun multiply(left: StructureND<T>, right: StructureND<T>): StructureND<T>

Multiplies two elements.

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fun <T, A : Ring<T>> AlgebraND<T, A>.one(shape: ShapeND): StructureND<T>
@JvmName(name = "oneVarArg")
fun <T, A : Ring<T>> AlgebraND<T, A>.one(shapeFirst: Int, vararg shapeRest: Int): StructureND<T>
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open operator fun T.plus(arg: StructureND<T>): StructureND<T>

Adds an element to ND structure of it.

open operator fun StructureND<T>.plus(arg: T): StructureND<T>

Adds an ND structure to an element of it.

open operator fun StructureND<T>.plus(arg: StructureND<T>): StructureND<T>

Addition of two elements.

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open override fun scale(a: StructureND<T>, value: Double): StructureND<T>

Scaling an element by a scalar.

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abstract fun structureND(shape: ShapeND, initializer: A.(IntArray) -> T): StructureND<T>

Produces a new StructureND using given initializer function.

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fun <T, A : Algebra<T>> AlgebraND<T, A>.structureND(shapeFirst: Int, vararg shapeRest: Int, initializer: A.(IntArray) -> T): StructureND<T>
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open operator fun T.times(arg: StructureND<T>): StructureND<T>

Multiplies an element by a ND structure of it.

open operator fun StructureND<T>.times(arg: T): StructureND<T>

Multiplies an ND structure by an element of it.

open operator fun StructureND<T>.times(arg: StructureND<T>): StructureND<T>

Multiplies this element by scalar.

open operator fun Number.times(arg: StructureND<T>): StructureND<T>

Multiplication of this number by element.

open operator fun StructureND<T>.times(k: Number): StructureND<T>

Multiplication of this element by a scalar.

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abstract operator fun StructureND<T>.unaryMinus(): StructureND<T>

The negation of this element.

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open fun unaryOperation(operation: String, arg: StructureND<T>): StructureND<T>

Dynamically invokes a unary operation with the certain name.

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open override fun unaryOperationFunction(operation: String): (arg: StructureND<T>) -> StructureND<T>

Dynamically dispatches a unary operation with the certain name.

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open operator fun StructureND<T>.unaryPlus(): StructureND<T>

Returns this value.

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fun <T, A : Group<T>> AlgebraND<T, A>.zero(shape: ShapeND): StructureND<T>
@JvmName(name = "zeroVarArg")
fun <T, A : Group<T>> AlgebraND<T, A>.zero(shapeFirst: Int, vararg shapeRest: Int): StructureND<T>
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@PerformancePitfall(message = "Very slow on remote execution algebras")
open fun zip(left: StructureND<T>, right: StructureND<T>, transform: A.(T, T) -> T): StructureND<T>

Combines two structures into one.

Properties

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Provide a factory for buffers, associated with this Algebra

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abstract val elementAlgebra: A

The algebra over elements of ND structure.