Semigroup

 
public protocol Semigroup

A semigroup is an algebraic structure that consists of a set of values and an associative operation.

  • An associative operation to combine values of the implementing type.

    This operation must satisfy the semigroup laws:

    a.combine(b).combine(c) == a.combine(b.combine(c))

    Declaration

    Swift

    func combine(_ other: Self) -> Self

    Parameters

    other

    Value to combine with the receiver.

    Return Value

    Combination of the receiver value with the parameter value.

Semigroup syntax
  • combine(_:_:) Extension method

    Combines two values of the implementing type.

    Declaration

    Swift

    public static func combine(_ a: Self, _ b: Self) -> Self

    Parameters

    a

    Value of the implementing type.
    b

    Value of the implementing type.

    Return Value

    Combination of a and b.

  • combineAll(_:) Extension method

    Combines a variable number of values of the implementing type, in the order provided in the call.

    Declaration

    Swift

    public static func combineAll(_ elems: Self...) -> Self

    Parameters

    elems

    Values of the implementing type.

    Return Value

    A single value of the implementing type representing the combination of all the parameter values.

  • combineAll(_:) Extension method

    Combines an array of values of the implementing type, in the order provided in the call.

    Declaration

    Swift

    public static func combineAll(_ elems: [Self]) -> Self

    Parameters

    elems

    Array of values of the implementing type.

    Return Value

    A single value of the implementing type representing the combination of all the parameter values.