Forward Mode Automatic Differentiation for Julia

Statically sized arrays for Julia

Macro(s) for vectorizing loops.

A Julia package for evaluating distances (metrics) between vectors.

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

Special mathematical functions in Julia

Julia solvers for systems of nonlinear equations and mixed complementarity problems

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

Reduce time-to-first-execution of Julia code

Lazy code loading for Julia

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

Julia macro for re-exporting one module from another

Simple Traits for Julia

Compatibility across Julia versions

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

Project Preferences Package

Line search methods for optimization and root-finding

Extensions for Julia's docsystem.

Julia implementation of associative containers that preserve insertion order

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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

Manual memory management utilities.

Base package for optimization and equation solver software in JuliaNLSolvers

Interface for function inversion in Julia

Create and control multiple Julia processes remotely for distributed computing. Ships as a Julia stdlib.

Pirated SLEEF port.

Under some conditions you may need this function

A statistics-focused namespace for packages to share functions

Utilities for low overhead threading in Julia.