fadno-braids

KO | EN

gitlite — search

#javascript #react #ai #go #android #machine-learning #rust #deep-learning #linux #nodejs #windows #pytorch #mcp #open-source

(★ 21)

Braid representations in Haskell

fadno-braids 최신버젼 다운로드

최종 버전 다운로드 (.zip)

// repository documentation

Was this content helpful?

★ 0 (0 ratings)

# fando-braids: Braid representations in Haskell

[![Hackage](https://img.shields.io/hackage/v/fadno-braids.svg)](https://hackage.haskell.org/package/fadno-braids)
[![Build Status](https://travis-ci.org/slpopejoy/fadno-braids.svg?branch=master)](https://travis-ci.org/slpopejoy/fadno-braids)

Braids represented as Haskell types with support for generation and transformations.

# Braid Typeclass

`Braid b a` is a typeclass over the braid rep itself and its value type. Since a goal of this library is to use braids for non-mathematical purposes (ie music composition), a Braid can be indexed over any `Integral` type, to support braids representing pitch values in a register for instance.

# Generators

All braids are represented using Artin generators as `Gen`, with `Polarity` defining the "power" of a generator as `O`ver or `U`nder.

Generator indexes differ from the literature in that they are generally *0-indexed* whereas Artin generators are 1-indexed. However, again these braids can represent other ranges of numbers as branch indexes.

# Braid instances

`Artin` creates canonical, "one-at-a-time", generator braids.

`MultiGen` creates "compressed", "many-at-a-time" braids.

`DimBraid` is for creating "padded" braids, since generators cannot express the absence of a cross.

# Braid builders

`bandGen` creates Birman/Ko/Lee-style band generators. In addition, stylized braid builders like `buildBraid` and `terraceBraid` are offered.

# Transformations/Moves

In addition to operations like `merge` etc, the type `Move` represents Reidemeister-type isotopy moves. `makeTree` unfolds a potentially-infinite tree representing all possible applications of a move.

# Graphics

`drawBraid` and `drawStrands` allow drawings of braids, admitting extra functions for colorizing etc.

fadno-braids

fadno-braids 최신버젼 다운로드

오늘의 추천 프로젝트

Was this content helpful?

Recent Feedback

fadno-braids

fadno-braids 최신버젼 다운로드

오늘의 추천 프로젝트

Was this content helpful?

Recent Feedback

Download README