Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

Formatted output of timed sections 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

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

Lazy code loading for Julia

Enabling StaticCompiler.jl-based compilation of (some) Julia code to standalone native binaries by avoiding GC allocations and llvmcall-ing all the things!

Bring Your Own Stack

Reusable compiler infrastructure for Julia GPU backends.

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.

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SparseArrays.jl is a Julia stdlib

`@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`.

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

Scratch spaces for all your persistent mutable data needs

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.

Stack-allocated pointer-based array views

Naïve combined subexpression elimination in Julia

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

Manual memory management utilities.

Interface for function inversion in Julia

Pirated SLEEF port.

Under some conditions you may need this function

Utilities for low overhead threading in Julia.

Defines additional irrationals

Interface package for StaticArrays.jl

Interface designs for enforcing static computations in array functions with Julia