Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Julia implementation of Data structures

Formatted output of timed sections in Julia

An optimized graphs package for the Julia programming language

Julia bindings for the Enzyme automatic differentiator

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.

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

Fast jacobian computation through sparsity exploitation and matrix coloring

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

Update immutable data

Data Structures for Optimization Models

Update deeply nested immutable structs.

Julia macro for re-exporting one module from another

Reusable compiler infrastructure for Julia GPU backends.

Simple Traits for Julia

Linear Operators for Julia

Compatibility across Julia versions

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

Julia wrapper for the LLVM C API

Project Preferences Package

Extensions for Julia's docsystem.

Package for checking function arguments

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

Cunning tricks though the julia compiler internals

`@pack!` and `@unpack` macros

Light-weight expression manipulation tools

A simple shared suite of common derivative definitions

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

Scratch spaces for all your persistent mutable data needs

Faster closure variable capture

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

Static types useful for dispatch and generated functions.

Makes Julia's package extensions backwards compatible