name:         ad
version:      1.5.0.2
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:
    base             >= 4       && < 5,
    data-reify       >= 0.6     && < 0.7,
    containers       >= 0.2     && < 0.6,
    array            >= 0.2     && < 0.5,
    comonad          >= 1.1.1.5 && < 1.2,
    free             >= 2.1.1   && < 2.2,
    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