kmath-core/space.kscience.kmath.operations/Group

Group

interface Group<T> : GroupOps<T>

Represents group i.e., algebraic structure with associative, binary operation add.

Parameters

T

the type of element of this semispace.

Functions

abstract fun add(left: T, right: T): T

Addition of two elements.

binaryOperation

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

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

open override fun binaryOperationFunction(operation: String): (T, T) -> T

Dynamically dispatches a binary operation with the certain name.

open fun bindSymbol(value: String): T

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

bindSymbolOrNull

open fun bindSymbolOrNull(value: String): T?

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

@UnstableKMathAPI

open fun export(arg: T): T

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.

open operator fun T.minus(arg: T): T

Subtraction of two elements.

open operator fun T.plus(arg: T): T

Addition of two elements.

abstract operator fun T.unaryMinus(): T

The negation of this element.

open fun unaryOperation(operation: String, arg: T): T

Dynamically invokes a unary operation with the certain name.

unaryOperationFunction

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

Dynamically dispatches a unary operation with the certain name.

open operator fun T.unaryPlus(): T

Returns this value.

Properties

abstract val zero: T

The neutral element of addition.

Inheritors

FunctionalExpressionGroup

Extensions

fun <T : Comparable<T>> Group<T>.abs(value: T): T

Absolute of the comparable value

fun <T> Group<T>.sum(data: Iterable<T>): T

Returns the sum of all elements in the iterable in this Group.

fun <T> Group<T>.sum(data: Sequence<T>): T

Returns the sum of all elements in the sequence in this Group.

Sources