name: ad version: 3.0 license: BSD3 license-File: LICENSE copyright: (c) Edward Kmett 2010-2012, (c) Barak Pearlmutter and Jeffrey Mark Siskind 2008-2009 author: Edward Kmett maintainer: ekmett@gmail.com stability: Experimental category: Math homepage: http://github.com/ekmett/ad bug-reports: http://github.com/ekmett/ad/issues build-type: Simple cabal-version: >= 1.6 extra-source-files: TODO .travis.yml synopsis: Automatic Differentiation description: Forward-, reverse- and mixed- mode automatic differentiation combinators with a common API. . Type-level \"branding\" is used to both prevent the end user from confusing infinitesimals and to limit unsafe access to the implementation details of each Mode. . Each mode has a separate module full of combinators. . * @Numeric.AD.Mode.Forward@ provides basic forward-mode AD. It is good for computing simple derivatives. . * @Numeric.AD.Mode.Reverse@ uses benign side-effects to compute reverse-mode AD. It is good for computing gradients in one pass. . * @Numeric.AD.Mode.Sparse@ computes a sparse forward-mode AD tower. It is good for higher derivatives or large numbers of outputs. . * @Numeric.AD.Mode.Tower@ computes a dense forward-mode AD tower useful for higher derivatives of single input functions. . * @Numeric.AD@ computes using whichever mode or combination thereof is suitable to each individual combinator. . While not every mode can provide all operations, the following basic operations are supported, modified as appropriate by the suffixes below: . * 'grad' computes the gradient (partial derivatives) of a function at a point. . * 'jacobian' computes the Jacobian matrix of a function at a point. . * 'diff' computes the derivative of a function at a point. . * 'du' computes a directional derivative of a function at a point. . * 'hessian' computes the Hessian matrix (matrix of second partial derivatives) of a function at a point. . The following suffixes alter the meanings of the functions above as follows: . * @\'@ -- also return the answer . * @With@ lets the user supply a function to blend the input with the output . * @F@ is a version of the base function lifted to return a 'Traversable' (or 'Functor') result . * @s@ means the function returns all higher derivatives in a list or f-branching 'Stream' . * @T@ means the result is transposed with respect to the traditional formulation. . * @0@ means that the resulting derivative list is padded with 0s at the end. . /Changes since 1.3/: . * Moved the contents of @Numeric.AD.Mode.Mixed@ into @Numeric.AD@ . * Split off @Numeric.AD.Variadic@ for the variadic combinators . * Removed the @UU@, @FU@, @UF@, and @FF@ type aliases. . * Stopped exporting the types for @Mode@ and @AD@ from almost every module. Import @Numeric.AD.Types@ if necessary. . * Renamed @Tensors@ to @Jet@ . * Dependency bump to be compatible with ghc 7.4.1 and mtl 2.1 . * More aggressive zero tracking. . * @diff (**n) 0@ for constant n and @diff (0**)@ both now yield the correct answer for all modes. source-repository head type: git location: git://github.com/ekmett/ad.git library extensions: CPP hs-source-dirs: src other-extensions: BangPatterns DeriveDataTypeable FlexibleContexts FlexibleInstances FunctionalDependencies GeneralizedNewtypeDeriving MultiParamTypeClasses PatternGuards Rank2Types ScopedTypeVariables TemplateHaskell TypeFamilies TypeOperators UndecidableInstances build-depends: array >= 0.2 && < 0.5, base == 4.*, comonad == 3.0.*, containers >= 0.2 && < 0.6, data-reify >= 0.6 && < 0.7, free == 3.0.*, template-haskell >= 2.5 && < 2.8 exposed-modules: Numeric.AD Numeric.AD.Types Numeric.AD.Newton Numeric.AD.Halley Numeric.AD.Mode.Directed Numeric.AD.Mode.Forward Numeric.AD.Mode.Reverse Numeric.AD.Mode.Tower Numeric.AD.Mode.Sparse Numeric.AD.Variadic Numeric.AD.Variadic.Reverse Numeric.AD.Variadic.Sparse Numeric.AD.Internal.Classes Numeric.AD.Internal.Combinators Numeric.AD.Internal.Forward Numeric.AD.Internal.Tower Numeric.AD.Internal.Reverse Numeric.AD.Internal.Sparse Numeric.AD.Internal.Dense Numeric.AD.Internal.Composition other-modules: Numeric.AD.Internal.Types Numeric.AD.Internal.Jet Numeric.AD.Internal.Identity ghc-options: -Wall -fspec-constr -fdicts-cheap -O2