Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Julia implementation of Data structures

An optimized graphs package for the Julia programming language

Types with default field values, keyword constructors and (un-)pack macros

Special mathematical functions in Julia

MacroTools provides a library of tools for working with Julia code and expressions.

AD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

The cheapest threads you can find!

Reduce time-to-first-execution of Julia code

Abstract julia interfaces for working with trees

Fortran-like arrays with arbitrary, zero or negative starting indices.

Lazy code loading for Julia

Simple Traits for Julia

Load and create NetCDF files in Julia

Compatibility across Julia versions

Composable Loggers for the Julia Logging StdLib

Designs for new Base array interface primitives, used widely through scientific machine learning (SciML) and other organizations

Project Preferences Package

Posix-compliant file name pattern matching

Extensions for Julia's docsystem.

The Arnoldi Method with Krylov-Schur restart, natively in Julia.

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

`@pack!` and `@unpack` macros

A simple shared suite of common derivative definitions

Julia package for various special functions based on `log` and `exp`.

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Base library providing vectorization-tools (ie, SIMD) that other libraries are built off of.

An implementation of an LRU Cache in Julia

Ask the CPU for cache sizes, SIMD feature support, a running hypervisor, and more.

Julia math built-ins which return NaN and accumulator functions which ignore NaN

Static types useful for dispatch and generated functions.

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A performant, 100% native-julia SHA1, SHA2, and SHA3 implementation

Logging sinks and utilites for interactive terminals

Naïve combined subexpression elimination in Julia

A package which provides an API for querying differentiation results at multiple orders simultaneously