sauliusvl / mathescala

A scala DSL library for writing Mathematica like code

MatheScala

MatheScala is a scala DSL that lets you write Mathematica like code and perform symbolic computations in scala. The library was conceived as a proof of concept, hence it probably shouldn't be used in real life (not that anyone would want to do that).

Introduction

If you know Mathematica then the following should ring a bell:

scala> import mathescala._
scala> import mathescala.implicits._

scala> ('$ ^ 2).& /@ 'Range(1, 5)
res0: mathescala.Expression = List(1, 4, 9, 16, 25)

scala> 'Plus @@ res0
res1: mathescala.Expression = 55
 
scala> 'fact(5) /:: Seq('fact('x_) ~> 'x * 'fact('x - 1), 'fact(1) ~> 1)
res2: mathescala.Expression = 120

Most of Mathematica's syntax is (rather will be) implemented with almost identical semantics, including pattern matching, pure functions, basic arithmetic evaluation and more. Of course due to to scala naming rules many operators have different names.

Syntax

Expressions

Patterns and Replacements

Pure Functions

Examples