NDField

interface NDField<T, F : Field<T>> : Field<NDStructure<T>> , NDRing<T, F>

Field of NDStructure.

Parameters

the type of the element contained in ND structure.

the type of ND structure.

the type field of structure elements.

Functions

add

common

abstract fun add(a: NDStructure<T>, b: NDStructure<T>): NDStructure<T>

Addition of two elements.

binaryOperation

common

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

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

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

Dynamically dispatches a binary operation with the certain name.

bindSymbol

common

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

Wraps a raw string to T object.

combine

common

abstract fun combine(a: NDStructure<T>, b: NDStructure<T>, transform: F.(T, T) -> T): NDStructure<T>

Combines two structures into one.

div

common

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

Divides an element by an ND structure of it.

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

Divides an ND structure by an element of it.

open operator fun Number.div(b: NDStructure<T>): NDStructure<T>

Division of element by scalar.

open operator fun NDStructure<T>.div(b: NDStructure<T>): NDStructure<T>

Division of two elements.

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

Division of this element by scalar.

divide

common

open override fun divide(a: NDStructure<T>, b: NDStructure<T>): NDStructure<T>

Element-wise division.

equals

common

open operator fun equals(other: Any?): Boolean

hashCode

common

open fun hashCode(): Int

invoke

common

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

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

map

common

abstract fun NDStructure<T>.map(transform: F.(T) -> T): NDStructure<T>

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

mapIndexed

common

abstract fun NDStructure<T>.mapIndexed(transform: F.(index: IntArray, T) -> T): NDStructure<T>

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

minus

common

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

Subtracts an ND structure from an element of it.

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

Subtracts an element from ND structure of it.

open operator fun NDStructure<T>.minus(b: NDStructure<T>): NDStructure<T>

Subtraction of two elements.

multiply

common

abstract fun multiply(a: NDStructure<T>, b: NDStructure<T>): NDStructure<T>

Multiplies two elements.

abstract fun multiply(a: NDStructure<T>, k: Number): NDStructure<T>

Multiplication of element by scalar.

plus

common

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

Adds an element to ND structure of it.

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

Adds an ND structure to an element of it.

open operator fun NDStructure<T>.plus(b: NDStructure<T>): NDStructure<T>

Addition of two elements.

produce

common

abstract fun produce(initializer: F.(IntArray) -> T): NDStructure<T>

Produces a new N structure using given initializer function.

times

common

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

Multiplies an element by a ND structure of it.

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

Multiplies an ND structure by an element of it.

open operator fun NDStructure<T>.times(b: NDStructure<T>): NDStructure<T>

Multiplies this element by scalar.

open operator fun Number.times(b: NDStructure<T>): NDStructure<T>

Multiplication of this number by element.

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

Multiplication of this element by a scalar.

toString

common

open fun toString(): String

unaryMinus

common

open operator fun NDStructure<T>.unaryMinus(): NDStructure<T>

The negation of this element.

unaryOperation

common

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

Dynamically invokes an unary operation with the certain name.

unaryOperationFunction

common

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

Dynamically dispatches an unary operation with the certain name.

unaryPlus

common

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

Returns this value.

Properties

elementContext

common

abstract val elementContext: F

The algebra over elements of ND structure.

one

common

abstract val one: NDStructure<T>

neutral operation for multiplication

shape

common

abstract val shape: IntArray

The shape of ND-structures this algebra operates on.

zero

common

abstract val zero: NDStructure<T>

The neutral element of addition.

Inheritors

BufferedNDField