Calculus functions in Julia

Forward Mode Automatic Differentiation for Julia

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

Julia implementation of HyperDualNumbers

Compatibility across Julia versions

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

Lazy code loading for Julia

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

Statically sized arrays for Julia

Special mathematical functions in Julia

Extensions for Julia's docsystem.

Naïve combined subexpression elimination in Julia

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

A simple shared suite of common derivative definitions

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

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Stack-allocated pointer-based array views

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

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

Vectorized uniform and normal random samplers.

Macro(s) for vectorizing loops.

Pirated SLEEF port.

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.

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

`@pack!` and `@unpack` macros

Under some conditions you may need this function

Project Preferences Package

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

Library supporting the ArrayInterface.jl strided array interface.

Utilities for low overhead threading in Julia.

The core AbstractStrideArray type, separated from StrideArrays.jl to avoid circular dependencies.

Static types useful for dispatch and generated functions.

Defines additional irrationals

Fast, LoopVectorization.jl-based summary statistics

Manual memory management utilities.

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Type declarations for other repos to depend on.