array
optimizing-the-memory-layout-of-std-tuple
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| array | optimizing-the-memory-layout-of-std-tuple | |
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| 5 | - | |
| 188 | 30 | |
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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 }; -
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.
optimizing-the-memory-layout-of-std-tuple
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What are some alternatives?
NumPy - The fundamental package for scientific computing with Python.
constexpr-sql - Header only library that parses and plans SQL queries at compile time
cadabra2 - A field-theory motivated approach to computer algebra.
CppML - A concise and readable metaprogramming language for C++
alphafold2 - To eventually become an unofficial Pytorch implementation / replication of Alphafold2, as details of the architecture get released
UNITS - a compile-time, header-only, dimensional analysis and unit conversion library built on c++14 with no dependencies.
Einsum.jl - Einstein summation notation in Julia
pfr - std::tuple like methods for user defined types without any macro or boilerplate code
c-examples - Example C code
Aggreget - Use your structures like tuples. Similar to MagicGet but using C++ 20 concepts.
einops - Flexible and powerful tensor operations for readable and reliable code (for pytorch, jax, TF and others)
nana - a modern C++ GUI library