garrynsk / algebra

The library containts Dotty traits describing algebraic structures in a categorial theoretic sense.

Architector: Algebra

This is a small part of a project called Architector, which suppose to help Dotty programmers to get rid of a big piece of boilerplate.

The library containts traits describing algebraic structures in a categorial theoretic sense. Such as:

• Category
• Semicategory
• Semigroup
• Monoid
• Groupoid
• Group
• Ring

and others.

Library Design

It was decided to refuse usual practice of typeclass inheritance because of knows issues.

All properties were moved to usual traits in algebra/stones and bricks folders. They inherite from each other in a usual way. The structure is described in a diagram below.

It is easy to extend usual traits for creating custom typeclasses.

Getting Started

Many examples are in the instance folder and tests.

Create an instance:

    implicit def intRing: Ring[Int] = new Ring[Int] {

        override def zero: Int = 0

        override def add(a: Int, b: Int): Int = a + b 

        override def one: Int = 1

        override def mult(a: Int, b: Int): Int = a * b    

        override def negation(a: Int): Int = -a 
    }