proposal-operator-overloading VS emmy

There's a not-very-active proposal to add operator overloading to JS which takes a similar scoped approach:

https://github.com/tc39/proposal-operator-overloading

There's a proposal to add operator overloading to the language, but AFAIK it never landed.

An example of it would be the operator overloading proposal https://github.com/tc39/proposal-operator-overloading that would allow overriding === and it would also solve in one shot many other problems (like numeric types extension, pipeable operator, and all the ones listed in the proposal).

Kind of but not really. There is the concept of operator overloading that would let you specify how to handler uses of operators like - and + with your class instances, but this is not yet officially supported in JavaScript. There is an operator overloading proposal to maybe add it in the future (and if you're using QuickJS that has support built in), but right now there's not a whole lot you can do.

Though this is not possible now since operators always work on primitive values, there is a proposal for operator overloading that could potentially allow us to use operators on objects in the future. It's still very early, so its not something you can use today (or anytime soon, if ever at all). In the meantime, you'll need to use method calls to perform these kinds of operations.

I'm not sure who hates it, but I have seen it abused (which people don't like). But, quickjs has it now, and there's a proposal to have it added to the JS spec. The proposal is only stage 1, so who knows what will happen with it or when, but its not counted out.

https://github.com/tc39/proposal-operator-overloading

There are still a couple issues that have to be solved. m2c: I hope that won't get to stage 3, though I like operator overloading in general, I think it's something that will complicate JS even more.

I'm a senior level programmer who recently became interested in furthering my math education.

I also just became aware of computational algebra systems like emmy: https://github.com/mentat-collective/emmy

My question is: is there an interactive math curriculum/textbook/etc that uses such a system to teach the math? I would find that a lot more engaging than learning math the old way!

This library bring these capabilities to Clojure:

https://github.com/mentat-collective/emmy

It's based on an older library for Scheme, by Sussman.

Of course! And referencing your other comment, during the ~2 year period I've been working on Emmy (on top of work by Colin Smith), I was keen to make the implementation more accessible and well-documented than the original.

There's still not a great map of the project (from primitives to general relativity), but many of the namespaces are written as literate programming explorations: https://emmy.mentat.org/#explore-the-project

Here's the automatic differentiation implementation/essay, for example: https://sritchie.github.io/emmy/src/emmy/differential.html

A rough sketch of the tower is:

- `emmy.value` and `emmy.generic` implement the extensible generic operations

- `emmy.ratio`, `emmy.complex` and `emmy.numbers` fleshes out the numeric tower

- `emmy.expression` and `emmy.abstract.number` add support for symbolic literals

Next we need an algebraic simplifier...

- `emmy.pattern.{match,rule,syntax} give us a pattern matching language

- `emmy.simplify.rules` adds a ton of simplification rules, out of which

- `emmy.simplify` builds a simplification engine

Actually the simplifier has three parts... the first two start in `emmy.rational-function` and `emmy.polynomial` and involve converting an expression into either a polynomial or a rational function and then back out, putting them into "canonical form" in the process. That will send you down the rabbit hole of polynomial GCD etc...

And on and on! I'm happy to facilitate any code reading journey you go on or chat about Emmy or the original scmutils, feel free to write at sam [at] mentat.org, or else visit the Discord I run for the project at https://discord.gg/hsRBqGEeQ4.

> You can get a feel for how unergonomic this is by avoiding the use of all arithmetic operators in your code and instead forcing yourself to use user defined plus(a,b), minus(a,b), assign(a,b), etc, or programming directly with the C blas api.

You've dramatically overstated your case, since that's true of every Lisp-like language.

Lisp is a perfectly suitable language for developing mathematics in, see SICM [0] for details.

If you want to see SICM in action, Emmy [1] is a Clojure project that ported SICM to both Clojure and Clerk notebooks (like Jupyter notebooks, but better for programmers).

[0] https://mitpress.mit.edu/9780262028967/structure-and-interpr...

[1] https://emmy.mentat.org/

Here's some Clojure code I wrote for the Emmy computer algebra system that implements polynomial interpolation with a few different algorithms described in Numerical Recipes:

https://github.com/mentat-collective/emmy/blob/main/src/emmy...

I discovered while writing this that I could express each of these algorithms as folds that consumed a stream of points, accumulating a progressively higher order polynomial.

Here's the same sort of thing but for rational function interpolation: https://github.com/mentat-collective/emmy/blob/main/src/emmy...