Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Special mathematical functions in Julia

Root finding functions for 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

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

Update immutable data

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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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`.

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.

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

Primitives for construction of objects

Manual memory management utilities.

Interface for function inversion in Julia

Pirated SLEEF port.

A common solve function for scientific machine learning (SciML) and beyond

Under some conditions you may need this function

Utilities for low overhead threading in Julia.

Interface package for StaticArrays.jl

Defines additional irrationals

Interface designs for enforcing static computations in array functions with Julia

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Interface for transformation functions in Julia

Fixing the world one invalidator at a time.

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