RingOps

interface RingOps<T> : GroupOps<T>

Represents ring without multiplicative and additive identities i.e., algebraic structure with associative, binary, commutative operation add and associative, operation multiply distributive over add.

Parameters

T

the type of element of this semiring.

Types

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object Companion

Functions

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

Addition of two elements.

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

Dynamically invokes a binary operation with the certain name.

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

Dynamically dispatches a binary operation with the certain name.

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open fun bindSymbol(value: String): T

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

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open fun bindSymbolOrNull(value: String): T?

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

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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.

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

Subtraction of two elements.

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

Multiplies two elements.

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

Addition of two elements.

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

Multiplies this element by scalar.

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abstract operator fun T.unaryMinus(): T

The negation of this element.

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

Dynamically invokes a unary operation with the certain name.

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

Dynamically dispatches a unary operation with the certain name.

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open operator fun T.unaryPlus(): T

Returns this value.

Inheritors

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Sources

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