Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Heterogeneous programming in Julia

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.

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

Julia macro for re-exporting one module from another

Compatibility across Julia versions

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

Project Preferences Package

Extensions for Julia's docsystem.

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Julia-based implementation of ellipsis array indexing notation `..`

SparseArrays.jl is a Julia stdlib

A simple shared suite of common derivative definitions

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

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

Static types useful for dispatch and generated functions.

Naïve combined subexpression elimination in Julia

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

Interface for function inversion in Julia

Under some conditions you may need this function

Interface package for StaticArrays.jl

Defines additional irrationals

Interface designs for enforcing static computations in array functions with Julia

Interface for transformation functions in Julia

Fixing the world one invalidator at a time.