Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Physical quantities with arbitrary units

Special mathematical functions in Julia

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

An interface for tables in Julia

Calculus functions in Julia

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.

Multi-threaded BLAS-like library that provides pure Julia matrix multiplication

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

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

Update immutable data

Update deeply nested immutable structs.

Bring Your Own Stack

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.

Periodic Table for Julians! :fire:

Package for checking function arguments

Julia implementation of associative containers that preserve insertion order

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SparseArrays.jl is a Julia stdlib

`@pack!` and `@unpack` macros

A Julian abstract interface for atomic structures.

A simple shared suite of common derivative definitions

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

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

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

Library supporting the ArrayInterface.jl strided array interface.

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

Static types useful for dispatch and generated functions.

Stack-allocated pointer-based array views

Fast, LoopVectorization.jl-based summary statistics

Julia implementation of HyperDualNumbers

Simple chunk splitters for parallel loop executions

Naïve combined subexpression elimination in Julia

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