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https://github.com/tynanbe/argamak

🐎 Work with tensors in Gleam!
https://github.com/tynanbe/argamak

Last synced: 21 days ago
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🐎 Work with tensors in Gleam!

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# argamak 🐎

[![Hex Package](https://img.shields.io/hexpm/v/argamak?color=ffaff3&label&labelColor=2f2f2f&logo=data:image/svg+xml;base64,PHN2ZyByb2xlPSJpbWciIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj48cGF0aCBmaWxsPSIjZmVmZWZjIiBkPSJNIDYuMjgzMiwxLjU5OTYgOS4yODMyLDYuNzk0OSBIIDE0LjcwNTEgTCAxNy43MDUxLDEuNTk5NiBaIE0gMTguMTQwNywxLjg0MzggbCAtMyw1LjE5NzMgMi43MTQ5LDQuNjk5MiBoIDYgeiBNIDUuODUzNSwxLjg1NTUgMC4xNDQ1LDExLjc0MDIgSCA2LjE0NDUgTCA4Ljg1MTYsNy4wNDg4IFogTSAwLjE0NDUsMTIuMjQwMiA1Ljg1MzUsMjIuMTI3IDguODUxNiwxNi45MzM2IDYuMTQ0NSwxMi4yNDAyIFogbSAxNy43MTEsMCAtMi43MTQ5LDQuNzAxMiAzLDUuMTk1MyA1LjcxNDksLTkuODk2NSB6IE0gOS4yODMyLDE3LjE4NzUgNi4yODUyLDIyLjM4MDkgSCAxNy43MDMyIEwgMTQuNzA1MSwxNy4xODc1IFoiLz48L3N2Zz4K)](https://hex.pm/packages/argamak)
[![Hex Docs](https://img.shields.io/badge/hex-docs-ffaff3?label&labelColor=2f2f2f&logo=data:image/svg+xml;base64,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)](https://hexdocs.pm/argamak/)
[![License](https://img.shields.io/hexpm/l/argamak?color=ffaff3&label&labelColor=2f2f2f&logo=data:image/svg+xml;base64,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)](https://github.com/tynanbe/argamak/blob/main/LICENSE)
[![Build](https://img.shields.io/github/actions/workflow/status/tynanbe/argamak/ci.yml?branch=main&color=ffaff3&label&labelColor=2f2f2f&logo=github-actions&logoColor=fefefc)](https://github.com/tynanbe/argamak/actions)

A Gleam library for tensor maths.

> β€œI admire the elegance of your method of computation; it must be nice to ride
> through these fields upon the horse of true mathematics while the like of us
> have to make our way laboriously on foot.”
>
> β€”Albert Einstein, to Tullio Levi-Civita, circa 1915–1917

Argamak: A shiny steed.

## Installation

### As a dependency of your Gleam project

β€’ Add `argamak` to `gleam.toml` from the command line

```shell
$ gleam add argamak
```

### As a dependency of your Mix project

β€’ Add `argamak` to `mix.exs`

```elixir
defp deps do
[
{:argamak, "~> 1.1"},
]
end
```

### As a dependency of your Rebar3 project

β€’ Add `argamak` to `rebar.config`

```erlang
{deps, [
{argamak, "1.1.0"}
]}.
```

### JavaScript

The `@tensorflow/tfjs` package is a runtime requirement for `argamak`; however,
its import path in the `argamak_ffi.mjs` module might need adjustment, depending
on your use case. It can be used as is in your Node.js project after running
`npm install @tensorflow/tfjs-node` or an equivalent command for your package
manager of choice.

## Usage

```gleam
// derby.gleam
import gleam/function
import gleam/io
import gleam/list
import gleam/result
import gleam/string
import argamak/axis.{Axis, Infer}
import argamak/space
import argamak/tensor.{type TensorError, InvalidData}

pub fn announce_winner(
from horses: List(String),
with times: List(Float),
) -> Result(Nil, TensorError) {
// Space records help maintain a clear understanding of a Tensor's data.
//
// We begin by creating a two-dimensional Space with "Horse" and "Trial" Axes.
// The "Trial" Axis size is two because horses always run twice in our derby.
// The "Horse" Axis size will be inferred based on the data when a Tensor is
// put into our Space (perhaps we won't always know how many horses will run).
//
use d2 <- result.try(
space.d2(Infer(name: "Horse"), Axis(name: "Trial", size: 2))
|> result.map_error(with: tensor.SpaceErrors),
)

// Every Tensor has a numerical Format, a Space, and some data.
// A 2d Tensor can be visualized like a table or matrix.
//
// Tensor(
// Format(Float32)
// Space(Axis("Horse", 5), Axis("Trial", 2))
//
// Trial
// H [[horse1_time1, horse1_time2],
// o [horse2_time1, horse2_time2],
// r [horse3_time1, horse3_time2],
// s [horse4_time1, horse4_time2],
// e [horse5_time1, horse5_time2]],
// )
//
// Next we create a Tensor from a List of times and put it into our 2d Space.
//
use x <- result.try(tensor.from_floats(of: times, into: d2))

let announce = function.compose(string.inspect, io.println)

announce("Trial times per horse")
tensor.print(x)

// Axes can be referenced by name.
//
// Here we reduce away the "Trial" Axis to get each horse's mean run time.
//
announce("Mean time per horse")
let mean_times =
x
|> tensor.mean(with: fn(a) { axis.name(a) == "Trial" })
|> tensor.debug

// This catch-all function will reduce away all Axes, although at this point
// only the "Horse" Axis remains.
//
let all_axes = fn(_) { True }

// We get a String representation of the minimum mean time.
//
announce("Fastest mean time")
let time =
mean_times
|> tensor.min_over(with: all_axes)
|> tensor.debug
|> tensor.to_string(return: tensor.Data, wrap_at: 0)

// And we get an index number, followed by the name of the winning horse.
//
announce("Fastest horse")
use horse <- result.try(
mean_times
|> tensor.arg_min(with: all_axes)
|> tensor.debug
|> tensor.to_int,
)
use horse <- result.try(
horses
|> list.at(get: horse)
|> result.replace_error(InvalidData),
)

// Finally, we make our announcement!
//
{ horse <> " wins the day with a mean time of " <> time <> " minutes!" }
|> announce
|> Ok
}
```

### Example

```gleam
> derby.announce_winner(
> from: ["Pony Express", "Hay Girl", "Low Rider"],
> with: [1.2, 1.3, 1.3, 1.0, 1.5, 0.9],
> )
"Trial times per horse"
Tensor(
Format(Float32),
Space(Axis("Horse", 3), Axis("Trial", 2)),
[[1.2, 1.3],
[1.3, 1.0],
[1.5, 0.9]],
)
"Mean time per horse"
Tensor(
Format(Float32),
Space(Axis("Horse", 3)),
[1.25, 1.15, 1.2],
)
"Fastest mean time"
Tensor(
Format(Float32),
Space(),
1.15,
)
"Fastest horse"
Tensor(
Format(Float32),
Space(),
1.0,
)
"Hay Girl wins the day with a mean time of 1.15 minutes!"
Ok(Nil)
```