Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Fast, continuous interpolation of discrete datasets in Julia

Types with default field values, keyword constructors and (un-)pack macros

Special mathematical functions in Julia

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

Arrays with arbitrarily nested named components.

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

Update immutable data

Julia macro for re-exporting one module from another

Colored and styled strings for terminals.

Compatibility across Julia versions

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

Project Preferences Package

Parameterise all the things

Extensions for Julia's docsystem.

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

A toolbox to represent 3D rotations of coordinate frames for Julia language.

Compile away dynamic dispatch on Val-typed arguments via value-splitting.

Fast complex polynomial root finder, with support for arbitrary precision calculations

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

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

Julia wrapper for libcurl

Interface for function inversion in Julia