array
ngn-apl
array | ngn-apl | |
---|---|---|
5 | 3 | |
189 | 49 | |
- | - | |
6.9 | 2.3 | |
5 months ago | about 1 year ago | |
C++ | JavaScript | |
Apache License 2.0 | MIT License |
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array
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Einsum in 40 Lines of Python
I wrote a library in C++ (I know, probably a non-starter for most reading this) that I think does most of what you want, as well as some other requests in this thread (generalized to more than just multiply-add): https://github.com/dsharlet/array?tab=readme-ov-file#einstei....
A matrix multiply written with this looks like this:
enum { i = 2, j = 0, k = 1 };
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Benchmarking 20 programming languages on N-queens and matrix multiplication
I should have mentioned somewhere, I disabled threading for OpenBLAS, so it is comparing one thread to one thread. Parallelism would be easy to add, but I tend to want the thread parallelism outside code like this anyways.
As for the inner loop not being well optimized... the disassembly looks like the same basic thing as OpenBLAS. There's disassembly in the comments of that file to show what code it generates, I'd love to know what you think is lacking! The only difference between the one I linked and this is prefetching and outer loop ordering: https://github.com/dsharlet/array/blob/master/examples/linea...
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A basic introduction to NumPy's einsum
If you are looking for something like this in C++, here's my attempt at implementing it: https://github.com/dsharlet/array#einstein-reductions
It doesn't do any automatic optimization of the loops like some of the projects linked in this thread, but, it provides all the tools needed for humans to express the code in a way that a good compiler can turn it into really good code.
ngn-apl
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Try APL
Some APL environments such as ngn/apl[0] allow tab completion like |o results in ⌽. This is probably available on tryapl.org too, but I can't test it when it's down :/
[0]: https://github.com/abrudz/ngn-apl
- From Competitive Programming to APL
- The Array Cast – A podcast about the array programming languages
What are some alternatives?
optimizing-the-memory-layout-of-std-tuple - Optimizing the memory layout of std::tuple
APL.jl
NumPy - The fundamental package for scientific computing with Python.
aplette - This is a new take on an old language: APL. The goal is to pare APL down to its elegant essence. This version of APL is oriented toward scripting within a Unix-style computing environment.
cadabra2 - A field-theory motivated approach to computer algebra.
Co-dfns - High-performance, Reliable, and Parallel APL
alphafold2 - To eventually become an unofficial Pytorch implementation / replication of Alphafold2, as details of the architecture get released
array - Simple array language written in kotlin
Einsum.jl - Einstein summation notation in Julia
ride - Remote IDE for Dyalog APL
c-examples - Example C code
speakeasy - **NOT MAINTAINED** Two-factor authentication for Node.js. One-time passcode generator (HOTP/TOTP) with support for Google Authenticator.