RingOperations

interface RingOperations<T> : GroupOperations<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

the type of element of this semiring.

Types

Companion

common

object Companion

Functions

add

common

abstract fun add(a: T, b: T): T

Addition of two elements.

binaryOperation

common

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

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

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

Dynamically dispatches a binary operation with the certain name.

bindSymbol

common

open fun bindSymbol(value: String): T

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

bindSymbolOrNull

common

open fun bindSymbolOrNull(value: String): T?

Wraps a raw string to T object.

minus

common

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

Subtraction of two elements.

multiply

common

abstract fun multiply(a: T, b: T): T

Multiplies two elements.

plus

common

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

Addition of two elements.

times

common

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

Multiplies this element by scalar.

unaryMinus

common

abstract operator fun T.unaryMinus(): T

The negation of this element.

unaryOperation

common

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

Dynamically invokes an unary operation with the certain name.

unaryOperationFunction

common

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

Dynamically dispatches an unary operation with the certain name.

unaryPlus

common

open operator fun T.unaryPlus(): T

Returns this value.

Inheritors

Ring

FieldOperations